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d. 1.0 × 102 m/s2 13. A girl rolls a basketball across a basketball court. The ball slowly decelerates at a rate of −0.20 m/s2. If the initial velocity was 2.0 m/s and the ball rolled to a stop at 5.0 sec after 12:00 p.m., at what time did she start the ball rolling? a. 0.1 seconds before noon b. 0.1 seconds after noo... |
. a b. d c. t d. v 18. If a velocity increases from 0 to 20 m/s in 10 s, what is the average acceleration? a. 0.5 m/s2 b. 2 m/s2 10 m/s2 c. 30 m/s2 d. 3.2 Representing Acceleration with Equations and Graphs 19. For the motion of a falling object, which graphs are Short Answer 3.1 Acceleration 21. True or False—The vect... |
d. Acceleration is negative. 26. True or False: —The image shows a velocity vs. time graph for a jet car. If you take the slope at any point on the graph, the jet car’s acceleration will be 5.0 m/s2. a. True b. False 27. When plotted on the blank plots, which answer choice would show the motion of an object that has u... |
will point towards the wall, and its magnitude will be more than the acceleration vector of the crash. d. The direction of the initial acceleration vector will point away from the wall, and its magnitude will be more than the acceleration vector of the crash. 30. A car accelerates from rest at a stop sign at a rate of... |
motion allowed motion on Earth and in space to be predicted mathematically. In this chapter you will learn about force as well as Newton’s first, second, and third laws of motion. 116 Chapter 4 • Forces and Newton’s Laws of Motion 4.1 Force Section Learning Objectives By the end of this section, you will be able to do... |
. If two forces pushing in opposite directions are added together, the larger force will be somewhat canceled out by the smaller force pushing in the opposite direction. It is important to be consistent with your chosen coordinate system within a problem; for example, if negative values are assigned to the downward dir... |
analyze situations involving forces, we will create free-body diagrams to organize the framework of the mathematics for each individual situation. TIPS FOR SUCCESS Correctly drawing and labeling a free-body diagram is an important first step for solving a problem. It will help you visualize the problem and correctly a... |
usually slow down and stop unless some effort is made to keep it moving. The key to understanding why, for example, a sliding box slows down (seemingly on its own) is to first understand that a net external force acts on the box to make the box slow down. Without this net external force, the box would continue to slid... |
two factors: the coefficient of friction and the normal force. For any two surfaces that are in contact with one another, the coefficient of friction is a constant that depends on the nature of the surfaces. The normal force is the force exerted by a surface that pushes on an object in response to gravity pulling the ... |
system add together, but because the wagon moves at a constant velocity, all of the forces must add up to zero. Mass and Inertia Inertia is the tendency for an object at rest to remain at rest, or for a moving object to remain in motion in a straight line with constant speed. This key property of objects was first des... |
. Electrostatic force c. Nuclear force d. Frictional force Virtual Physics Forces and Motion—Basics In this simulation, you will first explore net force by placing blue people on the left side of a tug-of-war rope and red people on the right side of the rope (by clicking people and dragging them with your mouse). Exper... |
proportional to the external force applied to the body. d. The rate of change of momentum of a body is inversely proportional to the external force applied to the body. 6. According to Newton’s first law, a body in motion tends to remain in motion at a constant velocity. However, when you slide an object across a surf... |
changes in motion. Newton’s second law of motion is used to calculate what happens in situations involving forces and motion, and it shows the mathematical relationship between force, mass, and acceleration. Mathematically, the second law is most often written as 4.2 where Fnet (or ∑F) is the net external force, mis t... |
system should be directly proportional to and in the same direction as the net external force acting on the system. An object experiences greater acceleration when acted on by a greater force. It is also clear from the equation that acceleration is inversely proportional to mass, which we write as 4.5 Inversely propor... |
normally considered a downward force. By using Newton’s second law, we can figure out the equation for weight. 4.6 Consider an object with mass mfalling toward Earth. It experiences only the force of gravity (i.e., the gravitational force or weight), which is represented by W. Newton’s second law states that the gravi... |
how much stuff) in an object and does not vary, but weight is the gravitational force on an object and is proportional to the force of gravity. It is easy to confuse the two, because our experience is confined to Earth, and the weight of an object is essentially the same no matter where you are on Earth. Adding to the ... |
. WATCH PHYSICS Newton’s Second Law of Motion This video reviews Newton’s second law of motion and how net external force and acceleration relate to one another and to mass. It also covers units of force, mass, and acceleration, and reviews a worked-out example. Click to view content (https://www.khanacademy.org/embed_... |
Prior to manned space flights, rocket sleds were used to test aircraft, missile equipment, and physiological effects on humans at high accelerations. Rocket sleds consisted of a platform mounted on one or two rails and propelled by several rockets. Calculate the magnitude of force exerted by each rocket, called its th... |
which is approximately An acceleration Practice Problems 9. If 1 N is equal to 0.225 lb, how many pounds is 5 N of force? a. 0.045 lb b. 1.125 lb c. 2.025 lb 5.000 lb d. 10. How much force needs to be applied to a 5-kg object for it to accelerate at 20 m/s2? a. b. c. d. 1 N 10 N 100 N 1,000 N Check Your Understanding ... |
opposite in direction to the force that it exerts. Newton’s third law of motion tells us that forces always occur in pairs, and one object cannot exert a force on another without experiencing the same strength force in return. We sometimes refer to these force pairs as action-reactionpairs, where the force exerted is ... |
the swimmer exerts on the wall. Other examples of Newton’s third law are easy to find. As a teacher paces in front of a whiteboard, he exerts a force backward on the floor. The floor exerts a reaction force in the forward direction on the teacher that causes him to accelerate forward. Similarly, a car accelerates beca... |
is only true for a horizontal surface. The word tensioncomes from the Latin word meaning to stretch. Tension is the force along the length of a flexible connector, such as a string, rope, chain, or cable. Regardless of the type of connector attached to the object of interest, one must remember that the connector can o... |
and the gas, in turn, exerts a large force forward on the rocket in response. This reaction force is called thrust. TIPS FOR SUCCESS A common misconception is that rockets propel themselves by pushing on the ground or on the air behind them. They actually work better in a vacuum, where they can expel exhaust gases mor... |
s second law involves only external forces. Once the system is identified, it’s possible to see which forces are external and which are internal (see Figure 4.10). If the system acts on an object outside the system, then you know that the outside object exerts a force of equal magnitude but in the opposite direction on... |
e., downward). WORKED EXAMPLE An Accelerating Subway Train A physics teacher pushes a cart of demonstration equipment to a classroom, as in Figure 4.11. Her mass is 65.0 kg, the cart’s mass is 12.0 kg, and the equipment’s mass is 7.0 kg. To push the cart forward, the teacher’s foot applies a force of 150 N in the oppos... |
, the force exerted by the teacher on the cart is of equal magnitude but in the opposite direction of the force exerted by the cart on the teacher. In this case, both forces act on the same system, so they cancel. Defining the system was crucial to solving this problem. Practice Problems 14. What is the equation for th... |
of motion the net external force, on an object is proportional to and in the same direction as the acceleration of the object, a, and also proportional to the object’s mass, m; defined mathematically as or Newton’s third law of motion when one body exerts a force on a second body, the first body experiences a force th... |
object is in contact system one or more objects of interest for which only the forces acting on them from the outside are considered, but not the forces acting between them or inside them tension a pulling force that acts along a connecting medium, especially a stretched flexible connector, such as a rope or cable; wh... |
a rope supports the weight of an object at rest, the tension in the rope is equal to the weight of the object. • Thrust is a force that pushes an object forward in response to the backward ejection of mass by the object. Rockets and airplanes are pushed forward by thrust. Newton’s second law of motion to solve weight ... |
of Motion 7. What does it mean for two quantities to be inversely proportional to each other? a. When one variable increases, the other variable decreases by a greater amount. b. When one variable increases, the other variable also increases. c. When one variable increases, the other variable decreases by the same fac... |
directions. c. They are unequal in magnitude and act in the same d. The magnitude of force C must be greater than the magnitude of forces A or B, so A < C > B. direction. d. They are unequal in magnitude and act in opposite 4.2 Newton's First Law of Motion: Inertia directions. 14. An object is at rest. Two forces, X a... |
by exerting force. The ground in turn exerts force F2 on the person. F1 and F2 are equal in magnitude but act in opposite directions. The person is able to walk because the two forces act on the different systems and the net force acting on the person is nonzero. a. True b. False 20. A helicopter pushes air down, whic... |
by kinematics? a. Velocity b. Acceleration c. Force 26. Which of the following is used to represent an object in a free-body diagram? a. A point b. A line c. A vector 4.2 Newton's First Law of Motion: Inertia 27. What kind of force is friction? a. External force b. Internal force c. Net force 28. What is another name ... |
's Third Law of Motion 35. One object exerts a force of magnitude F1 on another object and experiences a force of magnitude F2 in return. What is true for F1 and F2? a. F1 > F2 b. F1 < F2 c. F1 = F2 36. A weight is suspended with a rope and hangs freely. In what direction is the tension on the rope? a. parallel to the ... |
point, one pointing left with a length of 4 units and the other pointing down with a length of 3 units b. Two force vectors acting at a point, one pointing left with a length of 4 units and the other pointing up with a length of 3 units c. Two force vectors acting at a point, one pointing right with a length of 4 unit... |
be empty d. By applying an external force; whichever box accelerates faster is heavier and so the other box must be empty 46. True or False—An external force is required to set a stationary object in motion in outer space away from all gravitational influences and atmospheric friction. a. True b. False 4.3 Newton's Se... |
force F on the sedan, what force will the sedan exert on the truck? a. Extended Response 4.1 Force 55. True or False—When two unequal forces act on a body, the body will not move in the direction of the weaker force. a. True b. False 56. In the figure given, what is Frestore? What is its magnitude? a. Frestore is the ... |
Newton's Second Law of Motion 59. A 55-kg lady stands on a bathroom scale inside an elevator. The scale reads 70 kg. What do you know about the motion of the elevator? a. The elevator must be accelerating upward. b. The elevator must be accelerating downward. c. The elevator must be moving upward with a constant veloc... |
Methods 5.2 Vector Addition and Subtraction: Analytical Methods 5.3 Projectile Motion 5.4 Inclined Planes 5.5 Simple Harmonic Motion In Chapter 2, we learned to distinguish between vectors and scalars; the difference being that a vector has INTRODUCTION magnitude and direction, whereas a scalar has only magnitude. We ... |
, we graphically represent vectors with an arrow having a length proportional to the vector’s magnitude and pointing in the direction that the vector points. Figure 5.2 shows a graphical representation of a vector; the total displacement for a person walking in a city. The person first walks nine blocks east and then f... |
step 2. In this example, we have only two vectors, so we have finished placing arrows tip to tail. 4. Draw an arrow from the tail of the first vector to the head of the last vector, as shown in Figure 5.5(c). This is the resultant, or the sum, of the vectors. 146 Chapter 5 • Motion in Two Dimensions Figure 5.5 The dia... |
5.6 The diagram shows a vector, B, and the negative of this vector, –B. Global angles are calculated in the counterclockwise direction. The clockwise direction is considered negative. For example, an from the positive x-axis. angle of south of west is the same as the global angle which can also be expressed as Using t... |
to each other Pythagorean theorem to find the magnitude of the resultant vector. Another scenario where adding two-dimensional vectors is necessary is for velocity, where the direction may not be purely east-west or north-south, but some combination of these two directions. In the next section, we cover how to solve t... |
the x-axis), we flip the protractor upside down and measure the angle between the eastward axis and the vector, as illustrated in Figure 5.11. Figure 5.11 A ruler is used to measure the magnitude of R, and a protractor is used to measure the direction of R. In this case, the total displacement R has a magnitude of 50 m... |
5.1 • Vector Addition and Subtraction: Graphical Methods 151 Solution (1) To determine the location at which the woman arrives by accident, draw vectors A and −B. (2) Place the vectors head to tail. (3) Draw the resultant vector R. (4) Use a ruler and protractor to measure the magnitude and direction of R. These steps... |
for and east of south for. What is the magnitude of his displacement? a. b. c. d. Virtual Physics Vector Addition In this simulation (https://archive.cnx.org/specials/d218bf9b-e50e-4d50-9a6c-b3db4dad0816/vector-addition/), you will experiment with adding vectors graphically. Click and drag the red vectors from the Gra... |
blocks north and then two blocks east. The displacement of the first person will be more than the displacement of the second person. a. True b. False 5.2 Vector Addition and Subtraction: Analytical Methods Section Learning Objectives By the end of this section, you will be able to do the following: • Define components... |
and y-components, and These vectors form a right triangle. and triangle. are defined to be the components of along the x- and y-axes. The three vectors,,, and, form a right If the vector and y-components, we use the following relationships for a right triangle: is known, then its magnitude (its length) and its angle (... |
example of this is the case below, where the vectors are added to produce the resultant as illustrated in Figure 5.22. and Access for free at openstax.org. 5.2 • Vector Addition and Subtraction: Analytical Methods 157 Figure 5.22 Vectors and are two legs of a walk, and is the resultant or total displacement. You can u... |
, and, have the same magnitude of. Vector Three vectors,, southwest exactly opposite to vector together, what would be the magnitude of the resultant vector? Why? a. b. c. d.. All of them will cancel each other out.. Two of them will cancel each other out. units. All of them will add together to give the resultant.. Tw... |
What is the magnitude of a vector whose x-component is 4 cm and whose y-component is 3 cm? 1 cm a. 5 cm b. c. 7 cm d. 25 cm 6. What is the magnitude of a vector that makes an angle of 30° to the horizontal and whose x-component is 3 units? a. 2.61 units 3.00 units b. c. 3.46 units d. 6.00 units Access for free at open... |
like the one shown in Figure 5.26, figure out how much rotation (spin) there is in the atmosphere at any given time and location. This is an important tool for tornado prediction. Conditions with greater rotation are more likely to produce tornadoes. GRASP CHECK Why are vectors used so frequently in atmospheric scienc... |
range trajectory Properties of Projectile Motion Projectile motion is the motion of an object thrown (projected) into the air. After the initial force that launches the object, it only experiences the force of gravity. The object is called a projectile, and its path is called its trajectory. As an object travels throu... |
1. (when ) (when ) Table 5.1 Summary of Kinematic Equations (constant a) Where x is position, x0 is initial position, v is velocity, vavg is average velocity, tis time and a is acceleration. 164 Chapter 5 • Motion in Two Dimensions Solve Problems Involving Projectile Motion The following steps are used to analyze proje... |
so that and. 166 Chapter 5 • Motion in Two Dimensions WATCH PHYSICS Projectile at an Angle This video presents an example of finding the displacement (or range) of a projectile launched at an angle. It also reviews basic trigonometry for finding the sine, cosine and tangent of an angle. Click to view content (https://... |
s, and is the initial angle. Thus,, the component of the initial velocity in the y-direction. It is given by 5.3 • Projectile Motion 167, where is the and is so that Discussion for (a) Since up is positive, the initial velocity and maximum height are positive, but the acceleration due to gravity is negative. The maximu... |
above Figure 5.31 The diagram shows the projectile motion of a large rock from a volcano. Strategy Breaking this two-dimensional motion into two independent one-dimensional motions will allow us to solve for the time. The time a projectile is in the air depends only on its vertical motion. Solution While the rock is i... |
effect of initial angle on the range of a projectile with a given initial speed. Note that any combination of trajectories that add to 90 degrees will have the same range in the absence of air resistance, although the maximum heights of those paths are different. How does the initial velocity of a projectile affect it... |
following: • Distinguish between static friction and kinetic friction • Solve problems involving inclined planes Section Key Terms kinetic friction static friction Static Friction and Kinetic Friction Recall from the previous chapter that friction is a force that opposes motion, and is around us all the time. Friction... |
normal force. Recall that the normal force opposes the where force of gravity and acts perpendicular to the surface in this example, but not always. Since the symbol means less than or equal to, this equation says that static friction can have a maximum value of That is, Static friction is a responsive force that incr... |
would be without lubrication. The coefficient of friction is unitless and is a number usually between 0 and 1.0. Working with Inclined Planes We discussed previously that when an object rests on a horizontal surface, there is a normal force supporting it equal in magnitude to its weight. Up until now, we dealt only wi... |
(https://www.youtube.com/embed/TC23wD34C7k) This video shows how the weight of an object on an inclined plane is broken down into components perpendicular and parallel to the surface of the plane. It explains the geometry for finding the angle in more detail. When the surface is flat, you could say that one of the com... |
on an object) with the coordinate system Identify known and unknown quantities, and identify the system of interest. rotated at the same angle as the inclined plane. Resolve the vectors into horizontal and vertical components and draw them on the free-body diagram. 4. Write Newton’s second law in the horizontal and ve... |
force is 45.0 N? Figure 5.36 Now use the diagram to help find the skier's acceleration if friction is negligible and if the frictional force is 45.0 N. Strategy The most convenient coordinate system for motion on an incline is one that has one coordinate parallel to the slope and one perpendicular to the slope. Rememb... |
c. d. rests on a plane inclined from horizontal. What is the component of the weight force that 16. An object with a mass of is parallel to the incline? a. b. c. d. Snap Lab Friction at an Angle: Sliding a Coin An object will slide down an inclined plane at a constant velocity if the net force on the object is zero. W... |
The kinetic friction has a greater value because the friction between the two surfaces is less when the two surfaces are in relative motion. d. The static friction has a greater value because the friction between the two surfaces is less when the two surfaces are in relative motion. 5.5 Simple Harmonic Motion Section ... |
springs and pendulums, which we will cover at the end of this section. Oscillations and Periodic Motion What do an ocean buoy, a child in a swing, a guitar, and the beating of hearts all have in common? They all oscillate. That is, they move back and forth between two points, like the ruler illustrated in Figure 5.37.... |
such as with an object bobbing up and down on a spring or a pendulum swinging back and forth. The time to complete one oscillation (a complete cycle of motion) remains constant and is called the period T. Its units are usually seconds. Frequency fis the number of oscillations per unit time. The SI unit for frequency i... |
this affect the graph of displacement over time? What would happen to the graph if the period was longer? a. Larger amplitude would result in taller peaks and troughs and a longer period would result in greater separation in time between peaks. b. Larger amplitude would result in smaller peaks and troughs and a longer... |
The period is completely independent of other factors, such as mass or amplitude. However, note that Tdoes depend on g. This means that if we know the length of a pendulum, we can actually use it to measure gravity! This will come in useful in Figure 5.40. TIPS FOR SUCCESS Tension is represented by the variable T, and... |
x, for k. Substitute known values and solve for k. Discussion Note that F and x have opposite signs because they are in opposite directions—the restoring force is up, and the displacement is down. Also, note that the car would oscillate up and down when the person got in, if it were not for the shock absorbers. Bouncin... |
itself periodically c. Periodic, repetitive motion between two points d. motion that is the opposite to the direction of the restoring force 25. True or False—Oscillations can occur without force. a. True b. False Access for free at openstax.org. Chapter 5 • Key Terms 185 KEY TERMS air resistance a frictional force th... |
vector; the point opposite to the kinetic friction a force that opposes the motion of two systems that are in contact and moving relative to one another SECTION SUMMARY 5.1 Vector Addition and Subtraction: Graphical Methods • The graphical method of adding vectors and involves drawing vectors on a graph and adding the... |
that opposes the motion or attempted motion between them. Simple friction is proportional to the normal force N pushing the systems together. A normal force is always perpendicular to the contact surface between systems. Friction depends on both of the materials involved. • µs is the coefficient of static friction, wh... |
pendulum CHAPTER REVIEW Concept Items 5.1 Vector Addition and Subtraction: Graphical Methods d. 5.2 Vector Addition and Subtraction: Analytical Methods 1. There is a vector, with magnitude 5 units pointing 4. What is the angle between the x and y components of a, with magnitude 3 units, towards west and vector pointin... |
the minimum b. The position where the displacement is maximum c. The position where the restoring force is the maximum d. The position where the object rests in the absence of force 15. What is Hooke’s law? a. Restoring force is directly proportional to the displacement from the mean position and acts in the the oppos... |
for the second leg of the trip. The magnitude of his total Access for free at openstax.org. 5.2 Vector Addition and Subtraction: Analytical Methods 17. What is the magnitude of a vector whose x-component and whose angle is? is a. b. c. d. 18. Vectors and are equal in magnitude and opposite in direction. Does have the ... |
are suspended from both. Which of the following statements is true? a. Spring A will have more extension than spring B. b. Spring B will have more extension than spring A. c. Both springs will have equal extension. d. Both springs are equally stiff. 24. Two simple harmonic oscillators are constructed by attaching simi... |
ined Planes 31. A coin is sliding down an inclined plane at constant to the horizontal, velocity. If the angle of the plane is what is the coefficient of kinetic friction? a. b. c. d. 27. A person walks 10.0 m north and then 2.00 m east. 32. A skier with a mass of 55 kg is skiing down a snowy slope Solving analytically... |
take different routes to reach the same spot. southeast, then turns and goes The first one goes at south of east. The second hiker goes south. How far and in which direction must the second hiker travel now, in order to reach the first hiker's location destination? a. b. c. d. east south east south 5.2 Vector Addition... |
floor. The coefficient of static friction between the box and the floor is 0.4. A horizontal force of 50 N is applied to the box. Will it move? a. No, because the applied force is less than the maximum limiting static friction. b. No, because the applied force is more than the maximum limiting static friction. c. Yes,... |
on the trolley? a. 0.0 N b. 79.6 N c. 82.8 N d. 88.0 N 5.2 Vector Addition and Subtraction: Analytical Methods 60. True or False—A vector can form the shape of a right 58. Consider six vectors of 2 cm each, joined from head to tail making a hexagon. What would be the magnitude of angle triangle with its x and y compon... |
frictional force. b. When the magnitude of the component of the weight along the slope is greater than the magnitude of the frictional force. c. When the magnitude of the component of the weight perpendicular to the slope is less than the magnitude of the frictional force. 73. A box is sitting on an inclined plane. At... |
maximum speed occur? a. At the extreme positions b. At the equilibrium position c. At the moment when the applied force is removed d. Midway between the extreme and equilibrium positions 78. What is the equilibrium position of a pendulum? a. When the tension in the string is zero b. When the pendulum is hanging straig... |
: The larger the force constant, the stiffer the system. b. The force constant kis related to the stiffness of a system: The larger the force constant, the looser the system. c. The force constant kis related to the friction in the system: The larger the force constant, the greater the friction in the system. 90. How o... |
ribe the angle of rotation and relate it to its linear counterpart • Describe angular velocity and relate it to its linear counterpart • Solve problems involving angle of rotation and angular velocity Section Key Terms angle of rotation angular velocity arc length circular motion radius of curvature rotational motion s... |
angle. The angle of rotation is the amount of rotation and is the angular analog of distance. The angle of rotation is the arc length divided by the radius of curvature. The angle of rotation is often measured by using a unit called the radian. (Radians are actually dimensionless, because a radian is defined as the ra... |
a point on the outer edge of the CD (with larger r) than for a point closer to the center of the CD (with smaller r). This makes sense because a point farther out from the center has to cover a longer arc length in the same amount of time as a point closer to the center. Note that both points will still have the same ... |
direction of the angular velocity is along the axis of rotation, and points away from you for an object rotating clockwise, and toward you for an object rotating counterclockwise. In mathematics this is described by the right-hand rule. Tangential velocity is usually described as up, down, left, right, north, south, e... |
that its length is 80 cm. Repeat steps 2–5. 8. Move your hand up the string so that its length is 70 cm. Repeat steps 2–5. 9. Move your hand up the string so that its length is 60 cm. Repeat steps 2–5 10. Move your hand up the string so that its length is 50 cm. Repeat steps 2–5 11. Make graphs of angular speed vs. ra... |
of 6.4 6.5 6.6 Discussion We were able to drop the radians from the final solution to part (b) because radians are actually dimensionless. This is because the radian is defined as the ratio of two distances (radius and arc length). Thus, the formula gives an answer in units of meters, as expected for an arc length. WO... |
motion is the motion of an object when it follows a zigzag path. c. Circular motion is the motion of an object when it follows a circular path. d. Circular motion is the movement of an object along the circumference of a circle or rotation along a circular path. 4. What is meant by radius of curvature when describing ... |
path along which the object moves. 6.2 Uniform Circular Motion Section Learning Objectives By the end of this section, you will be able to do the following: • Describe centripetal acceleration and relate it to linear acceleration • Describe centripetal force and relate it to linear force • Solve problems involving cen... |
.7 The directions of the velocity of an object at two different points are shown, and the change in velocity is seen to point approximately toward the center of curvature (see small inset). For an extremely small value of, points exactly toward the center of the circle (but this is hard to draw). Because, the accelerat... |
is 0°, and the body experiences centripetal acceleration. c. The angle between acceleration and velocity is 90°, and the body experiences linear acceleration. d. The angle between acceleration and velocity is 90°, and the body experiences centripetal acceleration. Centripetal Force Because an object in uniform circula... |
Figure 6.8 In this figure, the frictional force fserves as the centripetal force Fc. Centripetal force is perpendicular to tangential velocity and causes uniform circular motion. The larger the centripetal force Fc, the smaller is the radius of curvature rand the sharper is the curve. The lower curve has the same velo... |
or golf club • One timer • One ruler or tape measure Procedure 1. Work with a partner. Stand a safe distance away from your partner as he or she swings the golf club or tennis racket. 2. Describe the motion of the swing—is this uniform circular motion? Why or why not? 3. Try to get the swing as close to uniform circul... |
m/s. b. Static friction prevents the car from slipping. Find the magnitude of the frictional force between the tires and the road that allows the car to round the curve without sliding off in a straight line. Access for free at openstax.org. 6.2 • Uniform Circular Motion 211 Strategy and Solution for (a) We know that.... |
net force acting on an object in uniform circular motion? a. Yes, the object is accelerating, so a net force must be acting on it. b. Yes, because there is no acceleration. c. No, because there is acceleration. d. No, because there is no acceleration. 14. Identify two examples of forces that can cause centripetal acce... |
stax.org. 6.3 • Rotational Motion 213 Figure 6.9 A figure skater spins in the counterclockwise direction, so her angular velocity is normally considered to be positive. (Luu, Wikimedia Commons) The relationship between the magnitudes of tangential acceleration, a, and angular acceleration, 6.10 These equations mean tha... |
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