id int64 1 14M | domain stringclasses 6
values | topic stringclasses 23
values | subtopic stringclasses 37
values | difficulty int64 1 8 | unit_type stringclasses 3
values | title stringlengths 14 86 | content stringlengths 203 553 | key_equations stringclasses 23
values | prerequisites stringclasses 29
values | learning_objective stringclasses 37
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201 | physics | mechanics | kinematics_1d | 2 | worked_example | One-dimensional motion with constant acceleration (v0=7.316 m/s, a=1.971 m/s²) | An object starts with initial velocity 7.316 m/s and experiences constant acceleration 1.971 m/s² for 12.6 s. Final velocity: v = v0 + a t = 7.316 + (1.971)(12.6) = 32.14 m/s. Displacement: s = v0 t + (1/2) a t² = 248.5 m. These relations follow directly from the definitions of average velocity and constant acceleratio... | v = v_0 + a t; s = v_0 t + (1/2) a t^2; v^2 = v_0^2 + 2 a s | definition of velocity and acceleration | Apply the three kinematic equations for constant acceleration in one dimension. |
202 | physics | mechanics | kinematics_1d | 2 | worked_example | One-dimensional motion with constant acceleration (v0=11.37 m/s, a=-4.57 m/s²) | An object starts with initial velocity 11.37 m/s and experiences constant acceleration -4.57 m/s² for 17.17 s. Final velocity: v = v0 + a t = 11.37 + (-4.57)(17.17) = -67.08 m/s. Displacement: s = v0 t + (1/2) a t² = -478.2 m. These relations follow directly from the definitions of average velocity and constant acceler... | v = v_0 + a t; s = v_0 t + (1/2) a t^2; v^2 = v_0^2 + 2 a s | definition of velocity and acceleration | Apply the three kinematic equations for constant acceleration in one dimension. |
203 | physics | mechanics | kinematics_1d | 2 | worked_example | One-dimensional motion with constant acceleration (v0=5.455 m/s, a=-1.818 m/s²) | An object starts with initial velocity 5.455 m/s and experiences constant acceleration -1.818 m/s² for 16.16 s. Final velocity: v = v0 + a t = 5.455 + (-1.818)(16.16) = -23.92 m/s. Displacement: s = v0 t + (1/2) a t² = -149.2 m. These relations follow directly from the definitions of average velocity and constant accel... | v = v_0 + a t; s = v_0 t + (1/2) a t^2; v^2 = v_0^2 + 2 a s | definition of velocity and acceleration | Apply the three kinematic equations for constant acceleration in one dimension. |
204 | physics | mechanics | kinematics_1d | 2 | worked_example | One-dimensional motion with constant acceleration (v0=10.21 m/s, a=8.205 m/s²) | An object starts with initial velocity 10.21 m/s and experiences constant acceleration 8.205 m/s² for 14.32 s. Final velocity: v = v0 + a t = 10.21 + (8.205)(14.32) = 127.7 m/s. Displacement: s = v0 t + (1/2) a t² = 987.8 m. These relations follow directly from the definitions of average velocity and constant accelerat... | v = v_0 + a t; s = v_0 t + (1/2) a t^2; v^2 = v_0^2 + 2 a s | definition of velocity and acceleration | Apply the three kinematic equations for constant acceleration in one dimension. |
205 | physics | mechanics | kinematics_1d | 2 | worked_example | One-dimensional motion with constant acceleration (v0=8.288 m/s, a=-4.848 m/s²) | An object starts with initial velocity 8.288 m/s and experiences constant acceleration -4.848 m/s² for 19.01 s. Final velocity: v = v0 + a t = 8.288 + (-4.848)(19.01) = -83.88 m/s. Displacement: s = v0 t + (1/2) a t² = -718.6 m. These relations follow directly from the definitions of average velocity and constant accel... | v = v_0 + a t; s = v_0 t + (1/2) a t^2; v^2 = v_0^2 + 2 a s | definition of velocity and acceleration | Apply the three kinematic equations for constant acceleration in one dimension. |
206 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 4.738 kg, acceleration 10.83 m/s² | A net force acting on a mass of 4.738 kg produces an acceleration of 10.83 m/s². By Newton's second law, F_net = m a = 4.738 × 10.83 = 51.31 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
207 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 24.68 kg, acceleration 11.4 m/s² | A net force acting on a mass of 24.68 kg produces an acceleration of 11.4 m/s². By Newton's second law, F_net = m a = 24.68 × 11.4 = 281.3 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
208 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 34.69 kg, acceleration 9.724 m/s² | A net force acting on a mass of 34.69 kg produces an acceleration of 9.724 m/s². By Newton's second law, F_net = m a = 34.69 × 9.724 = 337.3 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
209 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 24.8 kg, acceleration 11.91 m/s² | A net force acting on a mass of 24.8 kg produces an acceleration of 11.91 m/s². By Newton's second law, F_net = m a = 24.8 × 11.91 = 295.4 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
210 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 5.106 kg, acceleration 3.402 m/s² | A net force acting on a mass of 5.106 kg produces an acceleration of 3.402 m/s². By Newton's second law, F_net = m a = 5.106 × 3.402 = 17.37 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
211 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 34.74 kg, acceleration 4.662 m/s² | A net force acting on a mass of 34.74 kg produces an acceleration of 4.662 m/s². By Newton's second law, F_net = m a = 34.74 × 4.662 = 162 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
212 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 29.29 kg, acceleration 7.152 m/s² | A net force acting on a mass of 29.29 kg produces an acceleration of 7.152 m/s². By Newton's second law, F_net = m a = 29.29 × 7.152 = 209.4 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
213 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 26.78 kg, acceleration 6.44 m/s² | A net force acting on a mass of 26.78 kg produces an acceleration of 6.44 m/s². By Newton's second law, F_net = m a = 26.78 × 6.44 = 172.5 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
214 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 37.42 kg, acceleration 5.029 m/s² | A net force acting on a mass of 37.42 kg produces an acceleration of 5.029 m/s². By Newton's second law, F_net = m a = 37.42 × 5.029 = 188.2 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
215 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 35.29 kg, acceleration 4.137 m/s² | A net force acting on a mass of 35.29 kg produces an acceleration of 4.137 m/s². By Newton's second law, F_net = m a = 35.29 × 4.137 = 146 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
216 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 12.94 kg, acceleration 1.898 m/s² | A net force acting on a mass of 12.94 kg produces an acceleration of 1.898 m/s². By Newton's second law, F_net = m a = 12.94 × 1.898 = 24.57 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
217 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 10.03 kg, acceleration 1.881 m/s² | A net force acting on a mass of 10.03 kg produces an acceleration of 1.881 m/s². By Newton's second law, F_net = m a = 10.03 × 1.881 = 18.88 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
218 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 27.03 kg, acceleration 11.46 m/s² | A net force acting on a mass of 27.03 kg produces an acceleration of 11.46 m/s². By Newton's second law, F_net = m a = 27.03 × 11.46 = 309.6 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
219 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 9.665 kg, acceleration 3.324 m/s² | A net force acting on a mass of 9.665 kg produces an acceleration of 3.324 m/s². By Newton's second law, F_net = m a = 9.665 × 3.324 = 32.13 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
220 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 24.47 kg, acceleration 10.9 m/s² | A net force acting on a mass of 24.47 kg produces an acceleration of 10.9 m/s². By Newton's second law, F_net = m a = 24.47 × 10.9 = 266.6 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
221 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 48.84 kg, acceleration 7.917 m/s² | A net force acting on a mass of 48.84 kg produces an acceleration of 7.917 m/s². By Newton's second law, F_net = m a = 48.84 × 7.917 = 386.7 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
222 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 14.51 kg, acceleration 1.598 m/s² | A net force acting on a mass of 14.51 kg produces an acceleration of 1.598 m/s². By Newton's second law, F_net = m a = 14.51 × 1.598 = 23.18 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
223 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 10.11 kg, acceleration 3.489 m/s² | A net force acting on a mass of 10.11 kg produces an acceleration of 3.489 m/s². By Newton's second law, F_net = m a = 10.11 × 3.489 = 35.27 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
224 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 9.382 kg, acceleration 0.3108 m/s² | A net force acting on a mass of 9.382 kg produces an acceleration of 0.3108 m/s². By Newton's second law, F_net = m a = 9.382 × 0.3108 = 2.916 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
225 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 26.94 kg, acceleration 4.187 m/s² | A net force acting on a mass of 26.94 kg produces an acceleration of 4.187 m/s². By Newton's second law, F_net = m a = 26.94 × 4.187 = 112.8 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
226 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 48.73 kg, acceleration 8.345 m/s² | A net force acting on a mass of 48.73 kg produces an acceleration of 8.345 m/s². By Newton's second law, F_net = m a = 48.73 × 8.345 = 406.6 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
227 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 35.02 kg, acceleration 1.982 m/s² | A net force acting on a mass of 35.02 kg produces an acceleration of 1.982 m/s². By Newton's second law, F_net = m a = 35.02 × 1.982 = 69.4 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
228 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 43.49 kg, acceleration 7.414 m/s² | A net force acting on a mass of 43.49 kg produces an acceleration of 7.414 m/s². By Newton's second law, F_net = m a = 43.49 × 7.414 = 322.4 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
229 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 43.7 kg, acceleration 8.654 m/s² | A net force acting on a mass of 43.7 kg produces an acceleration of 8.654 m/s². By Newton's second law, F_net = m a = 43.7 × 8.654 = 378.2 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
230 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 23.74 kg, acceleration 6.663 m/s² | A net force acting on a mass of 23.74 kg produces an acceleration of 6.663 m/s². By Newton's second law, F_net = m a = 23.74 × 6.663 = 158.1 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
231 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 9.626 kg, acceleration 0.8655 m/s² | A net force acting on a mass of 9.626 kg produces an acceleration of 0.8655 m/s². By Newton's second law, F_net = m a = 9.626 × 0.8655 = 8.331 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
232 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 47.08 kg, acceleration 7.218 m/s² | A net force acting on a mass of 47.08 kg produces an acceleration of 7.218 m/s². By Newton's second law, F_net = m a = 47.08 × 7.218 = 339.9 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
233 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 41.19 kg, acceleration 6.071 m/s² | A net force acting on a mass of 41.19 kg produces an acceleration of 6.071 m/s². By Newton's second law, F_net = m a = 41.19 × 6.071 = 250.1 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
234 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 4.167 kg, acceleration 9.479 m/s² | A net force acting on a mass of 4.167 kg produces an acceleration of 9.479 m/s². By Newton's second law, F_net = m a = 4.167 × 9.479 = 39.5 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
235 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 3.154 kg, acceleration 2.323 m/s² | A net force acting on a mass of 3.154 kg produces an acceleration of 2.323 m/s². By Newton's second law, F_net = m a = 3.154 × 2.323 = 7.326 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
236 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 28.36 kg, acceleration 4.627 m/s² | A net force acting on a mass of 28.36 kg produces an acceleration of 4.627 m/s². By Newton's second law, F_net = m a = 28.36 × 4.627 = 131.2 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
237 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 49.7 kg, acceleration 1.865 m/s² | A net force acting on a mass of 49.7 kg produces an acceleration of 1.865 m/s². By Newton's second law, F_net = m a = 49.7 × 1.865 = 92.68 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
238 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 38.34 kg, acceleration 9.134 m/s² | A net force acting on a mass of 38.34 kg produces an acceleration of 9.134 m/s². By Newton's second law, F_net = m a = 38.34 × 9.134 = 350.2 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
239 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 39.64 kg, acceleration 3.463 m/s² | A net force acting on a mass of 39.64 kg produces an acceleration of 3.463 m/s². By Newton's second law, F_net = m a = 39.64 × 3.463 = 137.3 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
240 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 26.37 kg, acceleration 6.813 m/s² | A net force acting on a mass of 26.37 kg produces an acceleration of 6.813 m/s². By Newton's second law, F_net = m a = 26.37 × 6.813 = 179.6 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
241 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 22.41 kg, acceleration 12.92 m/s² | A net force acting on a mass of 22.41 kg produces an acceleration of 12.92 m/s². By Newton's second law, F_net = m a = 22.41 × 12.92 = 289.5 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
242 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 49.51 kg, acceleration 4.65 m/s² | A net force acting on a mass of 49.51 kg produces an acceleration of 4.65 m/s². By Newton's second law, F_net = m a = 49.51 × 4.65 = 230.2 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
243 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 31.24 kg, acceleration 9.184 m/s² | A net force acting on a mass of 31.24 kg produces an acceleration of 9.184 m/s². By Newton's second law, F_net = m a = 31.24 × 9.184 = 286.9 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
244 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 37.13 kg, acceleration 14.22 m/s² | A net force acting on a mass of 37.13 kg produces an acceleration of 14.22 m/s². By Newton's second law, F_net = m a = 37.13 × 14.22 = 528 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
245 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 10.79 kg, acceleration 3.244 m/s² | A net force acting on a mass of 10.79 kg produces an acceleration of 3.244 m/s². By Newton's second law, F_net = m a = 10.79 × 3.244 = 34.99 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
246 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 33.19 kg, acceleration 2.44 m/s² | A net force acting on a mass of 33.19 kg produces an acceleration of 2.44 m/s². By Newton's second law, F_net = m a = 33.19 × 2.44 = 80.99 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
247 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 9.104 kg, acceleration 1.218 m/s² | A net force acting on a mass of 9.104 kg produces an acceleration of 1.218 m/s². By Newton's second law, F_net = m a = 9.104 × 1.218 = 11.09 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
248 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 0.6324 kg, acceleration 6.813 m/s² | A net force acting on a mass of 0.6324 kg produces an acceleration of 6.813 m/s². By Newton's second law, F_net = m a = 0.6324 × 6.813 = 4.309 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
249 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 29.89 kg, acceleration 4.44 m/s² | A net force acting on a mass of 29.89 kg produces an acceleration of 4.44 m/s². By Newton's second law, F_net = m a = 29.89 × 4.44 = 132.7 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
250 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 11.96 kg, acceleration 10.63 m/s² | A net force acting on a mass of 11.96 kg produces an acceleration of 10.63 m/s². By Newton's second law, F_net = m a = 11.96 × 10.63 = 127.2 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
251 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 35.3 kg, acceleration 6.865 m/s² | A net force acting on a mass of 35.3 kg produces an acceleration of 6.865 m/s². By Newton's second law, F_net = m a = 35.3 × 6.865 = 242.3 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
252 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 34.53 kg, acceleration 13.87 m/s² | A net force acting on a mass of 34.53 kg produces an acceleration of 13.87 m/s². By Newton's second law, F_net = m a = 34.53 × 13.87 = 478.7 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
253 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 39.5 kg, acceleration 9.413 m/s² | A net force acting on a mass of 39.5 kg produces an acceleration of 9.413 m/s². By Newton's second law, F_net = m a = 39.5 × 9.413 = 371.8 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
254 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 33.23 kg, acceleration 14.01 m/s² | A net force acting on a mass of 33.23 kg produces an acceleration of 14.01 m/s². By Newton's second law, F_net = m a = 33.23 × 14.01 = 465.6 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
255 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 21.54 kg, acceleration 8.214 m/s² | A net force acting on a mass of 21.54 kg produces an acceleration of 8.214 m/s². By Newton's second law, F_net = m a = 21.54 × 8.214 = 177 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
256 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 32.56 kg, acceleration 13.64 m/s² | A net force acting on a mass of 32.56 kg produces an acceleration of 13.64 m/s². By Newton's second law, F_net = m a = 32.56 × 13.64 = 443.9 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
257 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 41.42 kg, acceleration 1.164 m/s² | A net force acting on a mass of 41.42 kg produces an acceleration of 1.164 m/s². By Newton's second law, F_net = m a = 41.42 × 1.164 = 48.21 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
258 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 8.713 kg, acceleration 4.683 m/s² | A net force acting on a mass of 8.713 kg produces an acceleration of 4.683 m/s². By Newton's second law, F_net = m a = 8.713 × 4.683 = 40.81 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
259 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 37.57 kg, acceleration 8.581 m/s² | A net force acting on a mass of 37.57 kg produces an acceleration of 8.581 m/s². By Newton's second law, F_net = m a = 37.57 × 8.581 = 322.4 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
260 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 14.79 kg, acceleration 1.953 m/s² | A net force acting on a mass of 14.79 kg produces an acceleration of 1.953 m/s². By Newton's second law, F_net = m a = 14.79 × 1.953 = 28.88 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
261 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 34.59 kg, acceleration 10.53 m/s² | A net force acting on a mass of 34.59 kg produces an acceleration of 10.53 m/s². By Newton's second law, F_net = m a = 34.59 × 10.53 = 364.1 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
262 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 47.16 kg, acceleration 7.557 m/s² | A net force acting on a mass of 47.16 kg produces an acceleration of 7.557 m/s². By Newton's second law, F_net = m a = 47.16 × 7.557 = 356.4 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
263 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 24.94 kg, acceleration 1.299 m/s² | A net force acting on a mass of 24.94 kg produces an acceleration of 1.299 m/s². By Newton's second law, F_net = m a = 24.94 × 1.299 = 32.39 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
264 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 2.473 kg, acceleration 6.537 m/s² | A net force acting on a mass of 2.473 kg produces an acceleration of 6.537 m/s². By Newton's second law, F_net = m a = 2.473 × 6.537 = 16.17 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
265 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 16.45 kg, acceleration 3.83 m/s² | A net force acting on a mass of 16.45 kg produces an acceleration of 3.83 m/s². By Newton's second law, F_net = m a = 16.45 × 3.83 = 63.03 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
266 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 5.021 kg, acceleration 14.43 m/s² | A net force acting on a mass of 5.021 kg produces an acceleration of 14.43 m/s². By Newton's second law, F_net = m a = 5.021 × 14.43 = 72.46 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
267 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 41.88 kg, acceleration 8.67 m/s² | A net force acting on a mass of 41.88 kg produces an acceleration of 8.67 m/s². By Newton's second law, F_net = m a = 41.88 × 8.67 = 363.1 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
268 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 47.56 kg, acceleration 14.99 m/s² | A net force acting on a mass of 47.56 kg produces an acceleration of 14.99 m/s². By Newton's second law, F_net = m a = 47.56 × 14.99 = 713.2 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
269 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 33.78 kg, acceleration 4.116 m/s² | A net force acting on a mass of 33.78 kg produces an acceleration of 4.116 m/s². By Newton's second law, F_net = m a = 33.78 × 4.116 = 139 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
270 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 2.491 kg, acceleration 11.37 m/s² | A net force acting on a mass of 2.491 kg produces an acceleration of 11.37 m/s². By Newton's second law, F_net = m a = 2.491 × 11.37 = 28.32 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
271 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 23.79 kg, acceleration 9.807 m/s² | A net force acting on a mass of 23.79 kg produces an acceleration of 9.807 m/s². By Newton's second law, F_net = m a = 23.79 × 9.807 = 233.3 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
272 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 45.85 kg, acceleration 2.804 m/s² | A net force acting on a mass of 45.85 kg produces an acceleration of 2.804 m/s². By Newton's second law, F_net = m a = 45.85 × 2.804 = 128.6 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
273 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 29.47 kg, acceleration 9.558 m/s² | A net force acting on a mass of 29.47 kg produces an acceleration of 9.558 m/s². By Newton's second law, F_net = m a = 29.47 × 9.558 = 281.7 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
274 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 24.84 kg, acceleration 1.46 m/s² | A net force acting on a mass of 24.84 kg produces an acceleration of 1.46 m/s². By Newton's second law, F_net = m a = 24.84 × 1.46 = 36.25 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
275 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 17.72 kg, acceleration 5.066 m/s² | A net force acting on a mass of 17.72 kg produces an acceleration of 5.066 m/s². By Newton's second law, F_net = m a = 17.72 × 5.066 = 89.8 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
276 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 33.67 kg, acceleration 12.88 m/s² | A net force acting on a mass of 33.67 kg produces an acceleration of 12.88 m/s². By Newton's second law, F_net = m a = 33.67 × 12.88 = 433.7 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
277 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 16.83 kg, acceleration 10.44 m/s² | A net force acting on a mass of 16.83 kg produces an acceleration of 10.44 m/s². By Newton's second law, F_net = m a = 16.83 × 10.44 = 175.6 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
278 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 14.77 kg, acceleration 14.18 m/s² | A net force acting on a mass of 14.77 kg produces an acceleration of 14.18 m/s². By Newton's second law, F_net = m a = 14.77 × 14.18 = 209.4 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
279 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 40.77 kg, acceleration 8.296 m/s² | A net force acting on a mass of 40.77 kg produces an acceleration of 8.296 m/s². By Newton's second law, F_net = m a = 40.77 × 8.296 = 338.3 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
280 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 23.01 kg, acceleration 4.786 m/s² | A net force acting on a mass of 23.01 kg produces an acceleration of 4.786 m/s². By Newton's second law, F_net = m a = 23.01 × 4.786 = 110.2 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
281 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 16.5 kg, acceleration 14.56 m/s² | A net force acting on a mass of 16.5 kg produces an acceleration of 14.56 m/s². By Newton's second law, F_net = m a = 16.5 × 14.56 = 240.2 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
282 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 20.51 kg, acceleration 7.767 m/s² | A net force acting on a mass of 20.51 kg produces an acceleration of 7.767 m/s². By Newton's second law, F_net = m a = 20.51 × 7.767 = 159.3 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
283 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 49.41 kg, acceleration 9.899 m/s² | A net force acting on a mass of 49.41 kg produces an acceleration of 9.899 m/s². By Newton's second law, F_net = m a = 49.41 × 9.899 = 489.1 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
284 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 27.36 kg, acceleration 6.257 m/s² | A net force acting on a mass of 27.36 kg produces an acceleration of 6.257 m/s². By Newton's second law, F_net = m a = 27.36 × 6.257 = 171.2 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
285 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 9.785 kg, acceleration 5.491 m/s² | A net force acting on a mass of 9.785 kg produces an acceleration of 5.491 m/s². By Newton's second law, F_net = m a = 9.785 × 5.491 = 53.73 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
286 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 37.94 kg, acceleration 9.419 m/s² | A net force acting on a mass of 37.94 kg produces an acceleration of 9.419 m/s². By Newton's second law, F_net = m a = 37.94 × 9.419 = 357.4 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
287 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 38.12 kg, acceleration 3.133 m/s² | A net force acting on a mass of 38.12 kg produces an acceleration of 3.133 m/s². By Newton's second law, F_net = m a = 38.12 × 3.133 = 119.4 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
288 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 27.69 kg, acceleration 13.92 m/s² | A net force acting on a mass of 27.69 kg produces an acceleration of 13.92 m/s². By Newton's second law, F_net = m a = 27.69 × 13.92 = 385.5 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
289 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 22.19 kg, acceleration 10.5 m/s² | A net force acting on a mass of 22.19 kg produces an acceleration of 10.5 m/s². By Newton's second law, F_net = m a = 22.19 × 10.5 = 233 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
290 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 6.511 kg, acceleration 14.6 m/s² | A net force acting on a mass of 6.511 kg produces an acceleration of 14.6 m/s². By Newton's second law, F_net = m a = 6.511 × 14.6 = 95.05 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
291 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 30.64 kg, acceleration 3.666 m/s² | A net force acting on a mass of 30.64 kg produces an acceleration of 3.666 m/s². By Newton's second law, F_net = m a = 30.64 × 3.666 = 112.3 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
292 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 8.34 kg, acceleration 8.308 m/s² | A net force acting on a mass of 8.34 kg produces an acceleration of 8.308 m/s². By Newton's second law, F_net = m a = 8.34 × 8.308 = 69.28 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
293 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 27.84 kg, acceleration 1.489 m/s² | A net force acting on a mass of 27.84 kg produces an acceleration of 1.489 m/s². By Newton's second law, F_net = m a = 27.84 × 1.489 = 41.44 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
294 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 49.62 kg, acceleration 13.7 m/s² | A net force acting on a mass of 49.62 kg produces an acceleration of 13.7 m/s². By Newton's second law, F_net = m a = 49.62 × 13.7 = 679.9 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
295 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 23.34 kg, acceleration 1.85 m/s² | A net force acting on a mass of 23.34 kg produces an acceleration of 1.85 m/s². By Newton's second law, F_net = m a = 23.34 × 1.85 = 43.19 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
296 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 41.69 kg, acceleration 7.526 m/s² | A net force acting on a mass of 41.69 kg produces an acceleration of 7.526 m/s². By Newton's second law, F_net = m a = 41.69 × 7.526 = 313.8 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
297 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 35.97 kg, acceleration 7.682 m/s² | A net force acting on a mass of 35.97 kg produces an acceleration of 7.682 m/s². By Newton's second law, F_net = m a = 35.97 × 7.682 = 276.3 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
298 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 14.03 kg, acceleration 12.54 m/s² | A net force acting on a mass of 14.03 kg produces an acceleration of 12.54 m/s². By Newton's second law, F_net = m a = 14.03 × 12.54 = 176 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
299 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 49.02 kg, acceleration 3.732 m/s² | A net force acting on a mass of 49.02 kg produces an acceleration of 3.732 m/s². By Newton's second law, F_net = m a = 49.02 × 3.732 = 182.9 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
300 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 27.79 kg, acceleration 5.815 m/s² | A net force acting on a mass of 27.79 kg produces an acceleration of 5.815 m/s². By Newton's second law, F_net = m a = 27.79 × 5.815 = 161.6 N. Direction of F_net is the same as the direction of the acceleration. This relation defines the inertial mass and is the foundation of classical dynamics. | F_net = m a | kinematics_1d | Compute net force from mass and acceleration using Newton's second law. |
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