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introduction has life ever given you lemons ? if so , you 've no doubt followed the old adage and made lemonade - involving , of course , a lot of sugar ! if you 've stirred sugar into lemonade ( or tea , or any other water-based drink ) and watched it dissolve , then you 've already seen the solvent properties of wate... | because of its polarity , water can form electrostatic interactions ( charge-based attractions ) with other polar molecules and ions . the polar molecules and ions interact with the partially positive and partially negative ends of water , with positive charges attracting negative charges ( just like the + and - ends o... | also , what happens to the positive and negative charges of nacl ? |
introduction has life ever given you lemons ? if so , you 've no doubt followed the old adage and made lemonade - involving , of course , a lot of sugar ! if you 've stirred sugar into lemonade ( or tea , or any other water-based drink ) and watched it dissolve , then you 've already seen the solvent properties of wate... | as an example , let 's consider what happens to an ionic compound , such as table salt ( nacl ) , when it 's added to water . if you stir table salt into water , the crystal lattice of nacl will begin to dissociate into na $ ^+ $ and cl $ ^- $ ions . ( dissociation is just a name for the process in which a compound or ... | in the last paragraph what does the 2 separate ions stand for now cuz instead of naci it 's na+ and ci- but what does it mean instead of sodium chloride ? |
introduction has life ever given you lemons ? if so , you 've no doubt followed the old adage and made lemonade - involving , of course , a lot of sugar ! if you 've stirred sugar into lemonade ( or tea , or any other water-based drink ) and watched it dissolve , then you 've already seen the solvent properties of wate... | if you 've stirred sugar into lemonade ( or tea , or any other water-based drink ) and watched it dissolve , then you 've already seen the solvent properties of water in action . a solvent is simply a substance that can dissolve other molecules and compounds , which are known as solutes . a homogeneous mixture of solve... | does a solvent refer to a substance that can be dissolved or to a substance that dissolves ? |
introduction has life ever given you lemons ? if so , you 've no doubt followed the old adage and made lemonade - involving , of course , a lot of sugar ! if you 've stirred sugar into lemonade ( or tea , or any other water-based drink ) and watched it dissolve , then you 've already seen the solvent properties of wate... | ( a polar molecule is one that 's neutral , or uncharged , but has an asymmetric internal distribution of charge , leading to partially positive and partially negative regions . ) water interacts differently with charged and polar substances than with nonpolar substances because of the polarity of its own molecules . w... | also , what other substances , besides h2o , can dissolve ionic molecules ? |
introduction has life ever given you lemons ? if so , you 've no doubt followed the old adage and made lemonade - involving , of course , a lot of sugar ! if you 've stirred sugar into lemonade ( or tea , or any other water-based drink ) and watched it dissolve , then you 've already seen the solvent properties of wate... | in the image below , the partial positive and partial negative charges on a water molecule are represented by the symbols δ $ ^+ $ and δ $ ^- $ , respectively . because of its polarity , water can form electrostatic interactions ( charge-based attractions ) with other polar molecules and ions . the polar molecules and ... | what 's the difference between a + charge , a - charge and no charge at all ? |
introduction has life ever given you lemons ? if so , you 've no doubt followed the old adage and made lemonade - involving , of course , a lot of sugar ! if you 've stirred sugar into lemonade ( or tea , or any other water-based drink ) and watched it dissolve , then you 've already seen the solvent properties of wate... | most of the chemical reactions important to life take place in a watery environment inside of cells , and water 's capacity to dissolve a wide variety of molecules is key in allowing these chemical reactions to take place . solvent properties of water thanks to its ability to dissolve a wide range of solutes , water is... | what if water was n't polar ? |
introduction has life ever given you lemons ? if so , you 've no doubt followed the old adage and made lemonade - involving , of course , a lot of sugar ! if you 've stirred sugar into lemonade ( or tea , or any other water-based drink ) and watched it dissolve , then you 've already seen the solvent properties of wate... | if you 've stirred sugar into lemonade ( or tea , or any other water-based drink ) and watched it dissolve , then you 've already seen the solvent properties of water in action . a solvent is simply a substance that can dissolve other molecules and compounds , which are known as solutes . a homogeneous mixture of solve... | would it be able to dissolve solutes , ionic and polar compounds , fats and oils ? |
introduction has life ever given you lemons ? if so , you 've no doubt followed the old adage and made lemonade - involving , of course , a lot of sugar ! if you 've stirred sugar into lemonade ( or tea , or any other water-based drink ) and watched it dissolve , then you 've already seen the solvent properties of wate... | as an example , let 's consider what happens to an ionic compound , such as table salt ( nacl ) , when it 's added to water . if you stir table salt into water , the crystal lattice of nacl will begin to dissociate into na $ ^+ $ and cl $ ^- $ ions . ( dissociation is just a name for the process in which a compound or ... | so the ci and na elements combine to make h2o ? |
introduction has life ever given you lemons ? if so , you 've no doubt followed the old adage and made lemonade - involving , of course , a lot of sugar ! if you 've stirred sugar into lemonade ( or tea , or any other water-based drink ) and watched it dissolve , then you 've already seen the solvent properties of wate... | hydration shells allow particles to be dispersed ( spread out ) evenly in water . how does the formation of a hydration shell cause a solute to dissolve ? as an example , let 's consider what happens to an ionic compound , such as table salt ( nacl ) , when it 's added to water . | how does the formation of a hydration shell cause a solute to dissolve ? |
introduction has life ever given you lemons ? if so , you 've no doubt followed the old adage and made lemonade - involving , of course , a lot of sugar ! if you 've stirred sugar into lemonade ( or tea , or any other water-based drink ) and watched it dissolve , then you 've already seen the solvent properties of wate... | if you stir table salt into water , the crystal lattice of nacl will begin to dissociate into na $ ^+ $ and cl $ ^- $ ions . ( dissociation is just a name for the process in which a compound or molecule breaks apart to form ions . ) water molecules form hydration shells around the ions : positively charged na $ ^+ $ io... | if a molecule has bad ? |
introduction has life ever given you lemons ? if so , you 've no doubt followed the old adage and made lemonade - involving , of course , a lot of sugar ! if you 've stirred sugar into lemonade ( or tea , or any other water-based drink ) and watched it dissolve , then you 've already seen the solvent properties of wate... | in the image below , the partial positive and partial negative charges on a water molecule are represented by the symbols δ $ ^+ $ and δ $ ^- $ , respectively . because of its polarity , water can form electrostatic interactions ( charge-based attractions ) with other polar molecules and ions . the polar molecules and ... | polarity is does not bond chemically with other molecules ? |
introduction has life ever given you lemons ? if so , you 've no doubt followed the old adage and made lemonade - involving , of course , a lot of sugar ! if you 've stirred sugar into lemonade ( or tea , or any other water-based drink ) and watched it dissolve , then you 've already seen the solvent properties of wate... | in the image below , the partial positive and partial negative charges on a water molecule are represented by the symbols δ $ ^+ $ and δ $ ^- $ , respectively . because of its polarity , water can form electrostatic interactions ( charge-based attractions ) with other polar molecules and ions . the polar molecules and ... | what charge is on nacl ? |
introduction has life ever given you lemons ? if so , you 've no doubt followed the old adage and made lemonade - involving , of course , a lot of sugar ! if you 've stirred sugar into lemonade ( or tea , or any other water-based drink ) and watched it dissolve , then you 've already seen the solvent properties of wate... | most of the chemical reactions important to life take place in a watery environment inside of cells , and water 's capacity to dissolve a wide variety of molecules is key in allowing these chemical reactions to take place . solvent properties of water thanks to its ability to dissolve a wide range of solutes , water is... | why water is having nitrogen ? |
introduction has life ever given you lemons ? if so , you 've no doubt followed the old adage and made lemonade - involving , of course , a lot of sugar ! if you 've stirred sugar into lemonade ( or tea , or any other water-based drink ) and watched it dissolve , then you 've already seen the solvent properties of wate... | as the process continues , all of the ions in the table salt crystals are surrounded by hydration shells and dispersed in solution . nonpolar molecules , like fats and oils , do n't interact with water or form hydration shells . these molecules do n't have regions of partial positive or partial negative charge , so the... | what will happen if a group of atoms do n't break off from molecules and form ions ? |
introduction has life ever given you lemons ? if so , you 've no doubt followed the old adage and made lemonade - involving , of course , a lot of sugar ! if you 've stirred sugar into lemonade ( or tea , or any other water-based drink ) and watched it dissolve , then you 've already seen the solvent properties of wate... | a homogeneous mixture of solvent and solute is called a solution , and much of life ’ s chemistry takes place in aqueous solutions , or solutions with water as the solvent . because of its polarity and ability to form hydrogen bonds , water makes an excellent solvent , meaning that it can dissolve many different kinds ... | is the molecule nacl capable of forming hydrogen bonds ? |
introduction has life ever given you lemons ? if so , you 've no doubt followed the old adage and made lemonade - involving , of course , a lot of sugar ! if you 've stirred sugar into lemonade ( or tea , or any other water-based drink ) and watched it dissolve , then you 've already seen the solvent properties of wate... | however , this name is n't entirely accurate , since there are some substances ( such as oils ) that do n't dissolve well in water . generally speaking , water is good at dissolving ions and polar molecules , but poor at dissolving nonpolar molecules . ( a polar molecule is one that 's neutral , or uncharged , but has ... | in the nacl dissolving in water picture above , would the water bonds connected to the cl atoms connect to the na atoms , or would they be more likely to connect to more water molecules ? |
introduction has life ever given you lemons ? if so , you 've no doubt followed the old adage and made lemonade - involving , of course , a lot of sugar ! if you 've stirred sugar into lemonade ( or tea , or any other water-based drink ) and watched it dissolve , then you 've already seen the solvent properties of wate... | however , this name is n't entirely accurate , since there are some substances ( such as oils ) that do n't dissolve well in water . generally speaking , water is good at dissolving ions and polar molecules , but poor at dissolving nonpolar molecules . ( a polar molecule is one that 's neutral , or uncharged , but has ... | is it true that a polar molecule is actually a polar molecule ? |
we develop an intuition for the natural response of the inductor-capacitor , $ \text { lc } $ , circuit . after we get a good mental image of what 's going on , the next article is a formal derivation of the $ \underline { \text { lc } } $ natural response . what we 're building to circuits with two energy storage elem... | where does that current ( flowing charge ) come from ? it comes from the capacitor , of course . over at the capacitor , current flows out from the top plate , goes through the inductor and goes around to the bottom capacitor plate . if $ q $ is going down , then $ q=\text c\ , v $ tells us $ v $ has to be going down ,... | also , do the electrons on one side of the capacitor simply run through the inductor to the other capacitor plate ? |
we develop an intuition for the natural response of the inductor-capacitor , $ \text { lc } $ , circuit . after we get a good mental image of what 's going on , the next article is a formal derivation of the $ \underline { \text { lc } } $ natural response . what we 're building to circuits with two energy storage elem... | as charge builds up on the bottom plate , it repels against the arrival of new charge from the inductor current ( electrostatic repulsion ) . the inductor current bends over and starts to drop back towards $ 0 $ . after a little while , the voltage will reach a peak negative value when all the charge has flowed to the ... | so the inductor just acts as a spring that pulls the elctrons back and forth from one plate to another ? |
we develop an intuition for the natural response of the inductor-capacitor , $ \text { lc } $ , circuit . after we get a good mental image of what 's going on , the next article is a formal derivation of the $ \underline { \text { lc } } $ natural response . what we 're building to circuits with two energy storage elem... | second-order systems are the first systems that rock back and forth in time , or oscillate . the classic example of a mechanical second-order system is a clock with a pendulum . in electronics , the classic system is the $ \text { lc } $ circuit . | is the pendulum system only an analogy or both system are equivalent ? |
we develop an intuition for the natural response of the inductor-capacitor , $ \text { lc } $ , circuit . after we get a good mental image of what 's going on , the next article is a formal derivation of the $ \underline { \text { lc } } $ natural response . what we 're building to circuits with two energy storage elem... | all of a sudden it `` sees '' the initial voltage , $ v = \text v_0 $ . this voltage will generate a rising current in the inductor , and it starts storing energy in its surrounding magnetic field . where does that current ( flowing charge ) come from ? | is the magnetic field some kind of potential energy of the electrical system ? |
got careless errors ? tired of wondering what your math score might have been if you had n't made preventable mistakes on problems you knew how to do ? by adopting the recommendations in this article , students can adjust their approach to the sat math test , force themselves to slow down and focus , make fewer careles... | there are two big drawbacks of using mental math on the sat : 1 ) if you come up with an answer that isn ’ t in the choices , you have to start at the very beginning of your calculations to figure out what went wrong . this wastes valuable time . 2 ) many of the wrong choices represent common errors in mental calculati... | and also how much time does it take to prepare for the sat ? |
got careless errors ? tired of wondering what your math score might have been if you had n't made preventable mistakes on problems you knew how to do ? by adopting the recommendations in this article , students can adjust their approach to the sat math test , force themselves to slow down and focus , make fewer careles... | if you know you sometimes fall victim to carelessness , it is a good idea to force yourself to take a little extra time on the questions you know how to do . the wrong answer choices on the sat math test often represent common mistakes – the kind of mistakes that are frequently made by students who are rushing or tryin... | since the sat is redesigned , can zero ( 0 ) be an answer on the grid in questions of the new sat ? |
got careless errors ? tired of wondering what your math score might have been if you had n't made preventable mistakes on problems you knew how to do ? by adopting the recommendations in this article , students can adjust their approach to the sat math test , force themselves to slow down and focus , make fewer careles... | if you write your work down , you drastically reduce the possibility that you will make a careless error . top calculator tip : think it through first – on the calculator section , it helps some students to write down what they ’ re going to enter into the calculator before they actually start using the calculator . in... | so , can i use a casio fx-991ms calculator during the sat ? |
got careless errors ? tired of wondering what your math score might have been if you had n't made preventable mistakes on problems you knew how to do ? by adopting the recommendations in this article , students can adjust their approach to the sat math test , force themselves to slow down and focus , make fewer careles... | if you write your work down , you drastically reduce the possibility that you will make a careless error . top calculator tip : think it through first – on the calculator section , it helps some students to write down what they ’ re going to enter into the calculator before they actually start using the calculator . in... | during the actual sat calculator section , are we allowed to use a ti-84 calculator or are graphing calculators not allowed ? |
sat essay glossary the sat essay will ask you how an author uses evidence , reasoning , and stylistic or persuasive elements to craft an argument . how can you quickly determine which of these elements the writer is using , and exactly what they are ? this glossary will help you get started ! ethos/pathos/logos back in... | tone could also be conversational , funny , sarcastic , personal , emotional , etc . syntax is the process of arranging words to make logical sentences . it involves elements like parallel structure , dangling modifiers , subject-verb agreement , fragments , run-ons , comma splices , and more . register is the level of... | in the syntax part , what are dangler modifiers ? |
sat essay glossary the sat essay will ask you how an author uses evidence , reasoning , and stylistic or persuasive elements to craft an argument . how can you quickly determine which of these elements the writer is using , and exactly what they are ? this glossary will help you get started ! ethos/pathos/logos back in... | in light of this fact and the recent drought , shouldn ’ t more local governments be taking clear action to reduce water waste ? ” appeals to pathos are intended to evoke an emotional response in the audience , such as fear , anger , or nostalgia/sentimentality . examples of pathos : “ how can we trust him to uphold ou... | could the first example in the section on appeal to pathos ( `` how can we trust him to uphold our interests in congress ? |
sat essay glossary the sat essay will ask you how an author uses evidence , reasoning , and stylistic or persuasive elements to craft an argument . how can you quickly determine which of these elements the writer is using , and exactly what they are ? this glossary will help you get started ! ethos/pathos/logos back in... | it involves elements like parallel structure , dangling modifiers , subject-verb agreement , fragments , run-ons , comma splices , and more . register is the level of formality or informality used in a piece of writing and can be determined by diction ( word choice ) and syntax ( for example , ending a sentence with a ... | what is the importance of using register and diction in an essay ? |
sat essay glossary the sat essay will ask you how an author uses evidence , reasoning , and stylistic or persuasive elements to craft an argument . how can you quickly determine which of these elements the writer is using , and exactly what they are ? this glossary will help you get started ! ethos/pathos/logos back in... | sat essay glossary the sat essay will ask you how an author uses evidence , reasoning , and stylistic or persuasive elements to craft an argument . how can you quickly determine which of these elements the writer is using , and exactly what they are ? | how do you implement these terms in the original essay ? |
sat essay glossary the sat essay will ask you how an author uses evidence , reasoning , and stylistic or persuasive elements to craft an argument . how can you quickly determine which of these elements the writer is using , and exactly what they are ? this glossary will help you get started ! ethos/pathos/logos back in... | while we can agree we need more housing here , we can ’ t sacrifice our beautiful local library , a touchstone of our community . '' sentence structure authors play with sentence structure in order to draw attention to different things in their argument/writing . parallel structure typically , when you use a series of ... | if something like parallel structure is only used once in the passage , would it still be a good idea to use it as one of your two or three ways in which the author builds his/her argument ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . | how is kinetic energy different than normal energy ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | there are a couple of interesting things about kinetic energy that we can see from the equation . kinetic energy depends on the velocity of the object squared . this means that when the velocity of an object doubles , its kinetic energy quadruples . | why is kinetic energy related to the square of the velocity , as opposed to momentum which varies linearly with velocity ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | exercise 1b : how would you expect the damage done to a brick wall to differ in the event of separate collisions with the elephant and cannonball ? exercise 2 : hydrazine rocket propellant has an energy density $ e_d $ of $ 1.6 \dfrac { \text { mj } } { \text { kg } } $ . suppose a 100 kg ( $ m_r $ ) rocket is loaded w... | in the exercise 2 , how is the total chemical potential energy stored in the propellant is ( energy density ) x ( mass of hydrazine ) ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . | can you say that kinetic energy is the source of sound energy ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . | can you say that kinetic energy and sound energy exist together ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant speed . the energy transferred is known as kinetic energy , and it depends on the mass and speed achieved . | if you see in first paragraph , how will object move with a constant speed if i apply energy only once ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | $ \begin { align } w & amp ; = m\cdot d\cdot \frac { v_\mathrm { f } ^2-v_\mathrm { i } ^2 } { 2d } \ & amp ; = m\cdot \frac { v_\mathrm { f } ^2-v_\mathrm { i } ^2 } { 2 } \ & amp ; = \frac { 1 } { 2 } \cdot m \cdot v_\mathrm { f } ^2 - \frac { 1 } { 2 } \cdot m \cdot v_\mathrm { i } ^2 \end { align } $ so , when a ne... | and how 5657 m/s is equal to 7 km/s ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | while velocity can have a positive or negative value , velocity squared is always positive . kinetic energy is not a vector . so a tennis ball thrown to the right with a velocity of 5 m/s , has the exact same kinetic energy as a tennis ball thrown down with a velocity of 5 m/s . | why is kinetic energy not a vector quantity ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant speed . the energy trans... | so if i had a question that gave me the final velocity and mass of an object before asking me to work out the ke of said object ; would the ke i work out be the net work that objected needed to accelerate from 0m/s to the final velocity ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | while velocity can have a positive or negative value , velocity squared is always positive . kinetic energy is not a vector . so a tennis ball thrown to the right with a velocity of 5 m/s , has the exact same kinetic energy as a tennis ball thrown down with a velocity of 5 m/s . | why is kinetic energy not a vector ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . | how is temperature related to the kinetic energy of the gas ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | while velocity can have a positive or negative value , velocity squared is always positive . kinetic energy is not a vector . so a tennis ball thrown to the right with a velocity of 5 m/s , has the exact same kinetic energy as a tennis ball thrown down with a velocity of 5 m/s . | i was confused on the fact that kinetic energy is not a vector , so is it a scalar then ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . | what is the difference between momentum and kinetic energy ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | exercise 1a : being in the wrong place when an african elephant—mass = 6000 kg , velocity = 10 m/s—is charging can really ruin your day . how fast would a 1 kg cannon ball travel if it had the same kinetic energy as the elephant ? exercise 1b : how would you expect the damage done to a brick wall to differ in the event... | so if i were to drop a ball from , say , the roof of a tall building , and then did it again on the second floor of that same building , the ball dropped from the roof would have greater kinetic energy ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | as we learned earlier $ \begin { align } w & amp ; = f \cdot d \ & amp ; = m · a · d\end { align } $ if we recall our kinematic equations of motion , we know that we can substitute the acceleration if we know the initial and final velocity— $ v_\mathrm { i } $ and $ v_\mathrm { f } $ —as well as the distance . $ \begin... | if the greater height/distance is plugged into the formula ke = 1/2 x m x v squared and compared to the lesser distance , would n't the ke be greater in the former ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | as we learned earlier $ \begin { align } w & amp ; = f \cdot d \ & amp ; = m · a · d\end { align } $ if we recall our kinematic equations of motion , we know that we can substitute the acceleration if we know the initial and final velocity— $ v_\mathrm { i } $ and $ v_\mathrm { f } $ —as well as the distance . $ \begin... | in example 2 what does ed and mp stand for ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . | where did the chemical energy formula come from ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | while velocity can have a positive or negative value , velocity squared is always positive . kinetic energy is not a vector . so a tennis ball thrown to the right with a velocity of 5 m/s , has the exact same kinetic energy as a tennis ball thrown down with a velocity of 5 m/s . | so a vector is a physical quantity whose magnitude depends on direction .is it wrong to say so ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . | how does kinetic energy relate to temperature if it does ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | so a tennis ball thrown to the right with a velocity of 5 m/s , has the exact same kinetic energy as a tennis ball thrown down with a velocity of 5 m/s . exercise 1a : being in the wrong place when an african elephant—mass = 6000 kg , velocity = 10 m/s—is charging can really ruin your day . how fast would a 1 kg cannon... | question , what would the area under a mass/time graph be ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . | how does the equation for ke ( kinetic energy ) have units of joules ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | as we learned earlier $ \begin { align } w & amp ; = f \cdot d \ & amp ; = m · a · d\end { align } $ if we recall our kinematic equations of motion , we know that we can substitute the acceleration if we know the initial and final velocity— $ v_\mathrm { i } $ and $ v_\mathrm { f } $ —as well as the distance . $ \begin... | in a case of a car crash what does the f ( mass of the car * the time it took to come to a stop ) tell me and what does the k ( mass * velocity^2 ) tell me ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . | do protons have an energy ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | exercise 1b : how would you expect the damage done to a brick wall to differ in the event of separate collisions with the elephant and cannonball ? exercise 2 : hydrazine rocket propellant has an energy density $ e_d $ of $ 1.6 \dfrac { \text { mj } } { \text { kg } } $ . suppose a 100 kg ( $ m_r $ ) rocket is loaded w... | for exercise 2 , should 1.6 mj be converted into joules ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . | what is the difference between momentum and kinetic energy , since both of them have the same dimensions ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . | where does this thermal energy come from ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . | what are some examples of kinetic energy at work ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . | is it possible for kinetic energy/gravitational potential energy to be negative ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . | how are kinetic energy and normal energy different and how are they the same ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | kinetic energy must always be either zero or a positive value . while velocity can have a positive or negative value , velocity squared is always positive . kinetic energy is not a vector . | how can i calculate the velocity after being fired ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | exercise 1a : being in the wrong place when an african elephant—mass = 6000 kg , velocity = 10 m/s—is charging can really ruin your day . how fast would a 1 kg cannon ball travel if it had the same kinetic energy as the elephant ? exercise 1b : how would you expect the damage done to a brick wall to differ in the event... | how does the light travel ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . | a moving object also has momentum .what is the difference between kinetic energy and momentum ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | how fast would a 1 kg cannon ball travel if it had the same kinetic energy as the elephant ? exercise 1b : how would you expect the damage done to a brick wall to differ in the event of separate collisions with the elephant and cannonball ? exercise 2 : hydrazine rocket propellant has an energy density $ e_d $ of $ 1.6... | for exercise 1b , can we calculate work to figure out how much damage is done ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant speed . the energy transferred is known as kinetic energy , and it depends on the mass and speed achieved . | because then we would see how much ke is transferred from one object to another ... ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | following the collision , some of the initial kinetic energy of the squirrel might have been transferred into the chipmunk or transformed to some other form of energy . how can we calculate kinetic energy ? to calculate kinetic energy , we follow the reasoning outlined above and begin by finding the work done , $ w $ ,... | how do you calculate the standard deviation of kinetic energy ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | following the collision , some of the initial kinetic energy of the squirrel might have been transferred into the chipmunk or transformed to some other form of energy . how can we calculate kinetic energy ? to calculate kinetic energy , we follow the reasoning outlined above and begin by finding the work done , $ w $ ,... | how do you calculate the standard deviation of kinetic energy ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . | difference between kinetic energy and potental energy ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . | how long does kinetic energy stay in objects ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . | does it count as kinetic energy when an object is already moving and something stops it ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | kinetic energy is not a vector . so a tennis ball thrown to the right with a velocity of 5 m/s , has the exact same kinetic energy as a tennis ball thrown down with a velocity of 5 m/s . exercise 1a : being in the wrong place when an african elephant—mass = 6000 kg , velocity = 10 m/s—is charging can really ruin your d... | are you calculating the velocity of the ball based on 6000 * 10/1 and take the square root of that ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . | what is the calculus method to derive kinetic energy ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . | since it said that kinetic energy can only be positive , is the same applied to potential energy ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . | or can there be a negative potential energy ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | kinetic energy must always be either zero or a positive value . while velocity can have a positive or negative value , velocity squared is always positive . kinetic energy is not a vector . | would n't the velocity of the rocket be dependent upon how far you want to travel ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant speed . | it says `` applying a force requires us to do work '' , so are we exerting energy if we apply a constant force even if the object does n't move ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | after work has been done , energy has been transferred to the object , and the object will be moving with a new constant speed . the energy transferred is known as kinetic energy , and it depends on the mass and speed achieved . kinetic energy can be transferred between objects and transformed into other kinds of energ... | when we double the mass and speed how many times does the kinetic energy increase ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | after work has been done , energy has been transferred to the object , and the object will be moving with a new constant speed . the energy transferred is known as kinetic energy , and it depends on the mass and speed achieved . kinetic energy can be transferred between objects and transformed into other kinds of energ... | how much energy was required for the spaceship to accelerate from a starting speed of 0m/s to its current speed ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . | so what does kinetic energy depend on ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . | what is unit kgf in physics ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | how fast would a 1 kg cannon ball travel if it had the same kinetic energy as the elephant ? exercise 1b : how would you expect the damage done to a brick wall to differ in the event of separate collisions with the elephant and cannonball ? exercise 2 : hydrazine rocket propellant has an energy density $ e_d $ of $ 1.6... | in exercise 1b , when the elephant collides with the wall , is n't the damage of the wall relative to the density and the size ( in general ) of the wall ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | as we learned earlier $ \begin { align } w & amp ; = f \cdot d \ & amp ; = m · a · d\end { align } $ if we recall our kinematic equations of motion , we know that we can substitute the acceleration if we know the initial and final velocity— $ v_\mathrm { i } $ and $ v_\mathrm { f } $ —as well as the distance . $ \begin... | mass of an object is 509 g moves with the velocity of 2 km/h.calculate amount of work done by it ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | exercise 1b : how would you expect the damage done to a brick wall to differ in the event of separate collisions with the elephant and cannonball ? exercise 2 : hydrazine rocket propellant has an energy density $ e_d $ of $ 1.6 \dfrac { \text { mj } } { \text { kg } } $ . suppose a 100 kg ( $ m_r $ ) rocket is loaded w... | how to calculate the rate of burning of fuel at a constant rate in a rocket and orbital velocity of a rocket ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | after work has been done , energy has been transferred to the object , and the object will be moving with a new constant speed . the energy transferred is known as kinetic energy , and it depends on the mass and speed achieved . kinetic energy can be transferred between objects and transformed into other kinds of energ... | is kinetic energy more dependent on mass or speed ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | there are a couple of interesting things about kinetic energy that we can see from the equation . kinetic energy depends on the velocity of the object squared . this means that when the velocity of an object doubles , its kinetic energy quadruples . | what are the factor on which the amount of ke depends ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | $ \text { kinetic energy : } k=\frac { 1 } { 2 } \cdot m\cdot v^2 $ alternatively , one can say that the change in kinetic energy is equal to the net work done on an object or system . $ w_ { net } =\delta k $ this result is known as the work-energy theorem and applies quite generally , even with forces that vary in di... | who came up with all these types of forces and energies ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | $ \begin { align } w & amp ; = m\cdot d\cdot \frac { v_\mathrm { f } ^2-v_\mathrm { i } ^2 } { 2d } \ & amp ; = m\cdot \frac { v_\mathrm { f } ^2-v_\mathrm { i } ^2 } { 2 } \ & amp ; = \frac { 1 } { 2 } \cdot m \cdot v_\mathrm { f } ^2 - \frac { 1 } { 2 } \cdot m \cdot v_\mathrm { i } ^2 \end { align } $ so , when a ne... | starting from one oasis a camel walks 25km in a direction 30 south of west and then walks 30km toward the north to a second oasis what distance separates the two oases ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . | so is solving kinetic energy similar to finding the gravitational potential energy ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . | what is the kinetic energy of a 1 kg disc ( m ) moving 5 revolutions per second ( v ) ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . | hi , how does the mass contribute to much greater the kinetic energy is ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | a car traveling at 60 mph has four times the kinetic energy of an identical car traveling at 30 mph , and hence the potential for four times more death and destruction in the event of a crash . kinetic energy must always be either zero or a positive value . while velocity can have a positive or negative value , velocit... | in numerous physics problems , how come we always assume certain variables , rather than finding the precise calculations ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . | when do we stop assuming certain variables ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . | do we use human kenetic energy now ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . | how is human kenetic energy used ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . | would you use human genetic energy ? |
what is kinetic energy ? kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . after work has been done , energy has been transferred to the object , and the object will be moving with a new constant... | kinetic energy is the energy an object has because of its motion . if we want to accelerate an object , then we must apply a force . applying a force requires us to do work . | does this apply to a balloon powered car ? |
before taking this lesson , make sure you know the basics of arithmetic sequences and have some experience with evaluating functions and function domain . what is a formula ? we are used to describing arithmetic sequences like this : $ 3 , 5 , 7 , ... $ but there are other ways . in this lesson , we 'll be learning two... | we are used to describing arithmetic sequences like this : $ 3 , 5 , 7 , ... $ but there are other ways . in this lesson , we 'll be learning two new ways to represent arithmetic sequences : recursive formulas and explicit formulas . formulas give us instructions on how to find any term of a sequence . | what exactly is the point of having recursive formulas if the explicit one is more useful ? |
before taking this lesson , make sure you know the basics of arithmetic sequences and have some experience with evaluating functions and function domain . what is a formula ? we are used to describing arithmetic sequences like this : $ 3 , 5 , 7 , ... $ but there are other ways . in this lesson , we 'll be learning two... | we are used to describing arithmetic sequences like this : $ 3 , 5 , 7 , ... $ but there are other ways . in this lesson , we 'll be learning two new ways to represent arithmetic sequences : recursive formulas and explicit formulas . formulas give us instructions on how to find any term of a sequence . to remain genera... | if explicit formulas of the sequence are easier to find the 100th term of a sequence ( based on the reflection question ) , why would we need recursive formulas ? |
before taking this lesson , make sure you know the basics of arithmetic sequences and have some experience with evaluating functions and function domain . what is a formula ? we are used to describing arithmetic sequences like this : $ 3 , 5 , 7 , ... $ but there are other ways . in this lesson , we 'll be learning two... | } } \\ a ( n ) = a ( n-1 ) +2 & amp ; \leftarrow\gray { \text { add two to the previous term . } } \end { cases } $ in order to find the fifth term , for example , we need to extend the sequence term by term : $ a ( n ) $ | $ =a ( n ! - ! ! 1 ) +2 $ | | | : - | : - | : - | : - $ a ( 1 ) $ | | | $ =\blued3 $ $ a ( 2 ) $... | which term of the sequence is equal to -65 ? |
before taking this lesson , make sure you know the basics of arithmetic sequences and have some experience with evaluating functions and function domain . what is a formula ? we are used to describing arithmetic sequences like this : $ 3 , 5 , 7 , ... $ but there are other ways . in this lesson , we 'll be learning two... | we are used to describing arithmetic sequences like this : $ 3 , 5 , 7 , ... $ but there are other ways . in this lesson , we 'll be learning two new ways to represent arithmetic sequences : recursive formulas and explicit formulas . formulas give us instructions on how to find any term of a sequence . | how are recursive formulas still functions ? |
before taking this lesson , make sure you know the basics of arithmetic sequences and have some experience with evaluating functions and function domain . what is a formula ? we are used to describing arithmetic sequences like this : $ 3 , 5 , 7 , ... $ but there are other ways . in this lesson , we 'll be learning two... | \end { cases } $ in order to find the fifth term , for example , we need to extend the sequence term by term : $ a ( n ) $ | $ =a ( n ! - ! ! 1 ) +2 $ | | | : - | : - | : - | : - $ a ( 1 ) $ | | | $ =\blued3 $ $ a ( 2 ) $ | $ =a ( 1 ) +2 $ | $ =\blued3+2 $ | $ =\purplec5 $ $ a ( 3 ) $ | $ =a ( 2 ) +2 $ | $ =\purplec5+2... | if f ( x ) =1/x+2 + ( x-1 ) ^2 , what is f ( -1 ) ? |
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