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values | topic stringclasses 23
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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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5,401 | physics | mechanics | kinematics_1d | 2 | worked_example | One-dimensional motion with constant acceleration (v0=13.82 m/s, a=8.101 m/s²) | An object starts with initial velocity 13.82 m/s and experiences constant acceleration 8.101 m/s² for 15.94 s. Final velocity: v = v0 + a t = 13.82 + (8.101)(15.94) = 142.9 m/s. Displacement: s = v0 t + (1/2) a t² = 1249 m. These relations follow directly from the definitions of average velocity and constant accelerati... | 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. |
5,402 | physics | mechanics | kinematics_1d | 2 | worked_example | One-dimensional motion with constant acceleration (v0=3.175 m/s, a=-3.17 m/s²) | An object starts with initial velocity 3.175 m/s and experiences constant acceleration -3.17 m/s² for 14.38 s. Final velocity: v = v0 + a t = 3.175 + (-3.17)(14.38) = -42.41 m/s. Displacement: s = v0 t + (1/2) a t² = -282.1 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. |
5,403 | physics | mechanics | kinematics_1d | 2 | worked_example | One-dimensional motion with constant acceleration (v0=5.986 m/s, a=6.191 m/s²) | An object starts with initial velocity 5.986 m/s and experiences constant acceleration 6.191 m/s² for 2.542 s. Final velocity: v = v0 + a t = 5.986 + (6.191)(2.542) = 21.72 m/s. Displacement: s = v0 t + (1/2) a t² = 35.22 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. |
5,404 | physics | mechanics | kinematics_1d | 2 | worked_example | One-dimensional motion with constant acceleration (v0=2.751 m/s, a=9.271 m/s²) | An object starts with initial velocity 2.751 m/s and experiences constant acceleration 9.271 m/s² for 1.073 s. Final velocity: v = v0 + a t = 2.751 + (9.271)(1.073) = 12.7 m/s. Displacement: s = v0 t + (1/2) a t² = 8.289 m. These relations follow directly from the definitions of average velocity and constant accelerati... | 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. |
5,405 | physics | mechanics | kinematics_1d | 2 | worked_example | One-dimensional motion with constant acceleration (v0=23.75 m/s, a=-1.504 m/s²) | An object starts with initial velocity 23.75 m/s and experiences constant acceleration -1.504 m/s² for 1.95 s. Final velocity: v = v0 + a t = 23.75 + (-1.504)(1.95) = 20.82 m/s. Displacement: s = v0 t + (1/2) a t² = 43.45 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. |
5,406 | physics | mechanics | kinematics_1d | 2 | worked_example | One-dimensional motion with constant acceleration (v0=2.382 m/s, a=-0.1939 m/s²) | An object starts with initial velocity 2.382 m/s and experiences constant acceleration -0.1939 m/s² for 11.06 s. Final velocity: v = v0 + a t = 2.382 + (-0.1939)(11.06) = 0.2381 m/s. Displacement: s = v0 t + (1/2) a t² = 14.49 m. These relations follow directly from the definitions of average velocity and constant acce... | 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. |
5,407 | physics | mechanics | kinematics_1d | 2 | worked_example | One-dimensional motion with constant acceleration (v0=14.28 m/s, a=-2.041 m/s²) | An object starts with initial velocity 14.28 m/s and experiences constant acceleration -2.041 m/s² for 19.77 s. Final velocity: v = v0 + a t = 14.28 + (-2.041)(19.77) = -26.06 m/s. Displacement: s = v0 t + (1/2) a t² = -116.4 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. |
5,408 | physics | mechanics | kinematics_1d | 2 | worked_example | One-dimensional motion with constant acceleration (v0=18.16 m/s, a=-2.209 m/s²) | An object starts with initial velocity 18.16 m/s and experiences constant acceleration -2.209 m/s² for 6.473 s. Final velocity: v = v0 + a t = 18.16 + (-2.209)(6.473) = 3.864 m/s. Displacement: s = v0 t + (1/2) a t² = 71.3 m. These relations follow directly from the definitions of average velocity and constant accelera... | 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. |
5,409 | physics | mechanics | kinematics_1d | 2 | worked_example | One-dimensional motion with constant acceleration (v0=20.28 m/s, a=7.975 m/s²) | An object starts with initial velocity 20.28 m/s and experiences constant acceleration 7.975 m/s² for 2.164 s. Final velocity: v = v0 + a t = 20.28 + (7.975)(2.164) = 37.54 m/s. Displacement: s = v0 t + (1/2) a t² = 62.57 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. |
5,410 | physics | mechanics | kinematics_1d | 2 | worked_example | One-dimensional motion with constant acceleration (v0=5.548 m/s, a=-4.905 m/s²) | An object starts with initial velocity 5.548 m/s and experiences constant acceleration -4.905 m/s² for 4.341 s. Final velocity: v = v0 + a t = 5.548 + (-4.905)(4.341) = -15.75 m/s. Displacement: s = v0 t + (1/2) a t² = -22.14 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. |
5,411 | physics | mechanics | kinematics_1d | 2 | worked_example | One-dimensional motion with constant acceleration (v0=5.932 m/s, a=-2.842 m/s²) | An object starts with initial velocity 5.932 m/s and experiences constant acceleration -2.842 m/s² for 11.3 s. Final velocity: v = v0 + a t = 5.932 + (-2.842)(11.3) = -26.17 m/s. Displacement: s = v0 t + (1/2) a t² = -114.3 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. |
5,412 | physics | mechanics | kinematics_1d | 2 | worked_example | One-dimensional motion with constant acceleration (v0=29.18 m/s, a=5.5 m/s²) | An object starts with initial velocity 29.18 m/s and experiences constant acceleration 5.5 m/s² for 14.35 s. Final velocity: v = v0 + a t = 29.18 + (5.5)(14.35) = 108.1 m/s. Displacement: s = v0 t + (1/2) a t² = 985.5 m. These relations follow directly from the definitions of average velocity and constant acceleration. | 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. |
5,413 | physics | mechanics | kinematics_1d | 2 | worked_example | One-dimensional motion with constant acceleration (v0=2.273 m/s, a=-2.194 m/s²) | An object starts with initial velocity 2.273 m/s and experiences constant acceleration -2.194 m/s² for 7.107 s. Final velocity: v = v0 + a t = 2.273 + (-2.194)(7.107) = -13.32 m/s. Displacement: s = v0 t + (1/2) a t² = -39.25 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. |
5,414 | physics | mechanics | kinematics_1d | 2 | worked_example | One-dimensional motion with constant acceleration (v0=29.76 m/s, a=-2.564 m/s²) | An object starts with initial velocity 29.76 m/s and experiences constant acceleration -2.564 m/s² for 13.07 s. Final velocity: v = v0 + a t = 29.76 + (-2.564)(13.07) = -3.749 m/s. Displacement: s = v0 t + (1/2) a t² = 170 m. These relations follow directly from the definitions of average velocity and constant accelera... | 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. |
5,415 | physics | mechanics | kinematics_1d | 2 | worked_example | One-dimensional motion with constant acceleration (v0=17.77 m/s, a=4.023 m/s²) | An object starts with initial velocity 17.77 m/s and experiences constant acceleration 4.023 m/s² for 10.63 s. Final velocity: v = v0 + a t = 17.77 + (4.023)(10.63) = 60.52 m/s. Displacement: s = v0 t + (1/2) a t² = 416 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. |
5,416 | physics | mechanics | kinematics_1d | 2 | worked_example | One-dimensional motion with constant acceleration (v0=8.562 m/s, a=1.398 m/s²) | An object starts with initial velocity 8.562 m/s and experiences constant acceleration 1.398 m/s² for 16.66 s. Final velocity: v = v0 + a t = 8.562 + (1.398)(16.66) = 31.86 m/s. Displacement: s = v0 t + (1/2) a t² = 336.8 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. |
5,417 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 36.9 kg, acceleration 8.005 m/s² | A net force acting on a mass of 36.9 kg produces an acceleration of 8.005 m/s². By Newton's second law, F_net = m a = 36.9 × 8.005 = 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. |
5,418 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 32.91 kg, acceleration 14.53 m/s² | A net force acting on a mass of 32.91 kg produces an acceleration of 14.53 m/s². By Newton's second law, F_net = m a = 32.91 × 14.53 = 478.1 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. |
5,419 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 12.96 kg, acceleration 11.34 m/s² | A net force acting on a mass of 12.96 kg produces an acceleration of 11.34 m/s². By Newton's second law, F_net = m a = 12.96 × 11.34 = 146.9 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. |
5,420 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 3.7 kg, acceleration 1.035 m/s² | A net force acting on a mass of 3.7 kg produces an acceleration of 1.035 m/s². By Newton's second law, F_net = m a = 3.7 × 1.035 = 3.832 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. |
5,421 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 17.54 kg, acceleration 11.02 m/s² | A net force acting on a mass of 17.54 kg produces an acceleration of 11.02 m/s². By Newton's second law, F_net = m a = 17.54 × 11.02 = 193.3 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. |
5,422 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 31.18 kg, acceleration 12.28 m/s² | A net force acting on a mass of 31.18 kg produces an acceleration of 12.28 m/s². By Newton's second law, F_net = m a = 31.18 × 12.28 = 383 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. |
5,423 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 4.458 kg, acceleration 11.49 m/s² | A net force acting on a mass of 4.458 kg produces an acceleration of 11.49 m/s². By Newton's second law, F_net = m a = 4.458 × 11.49 = 51.22 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. |
5,424 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 35.95 kg, acceleration 0.2788 m/s² | A net force acting on a mass of 35.95 kg produces an acceleration of 0.2788 m/s². By Newton's second law, F_net = m a = 35.95 × 0.2788 = 10.02 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. |
5,425 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 37.34 kg, acceleration 1.415 m/s² | A net force acting on a mass of 37.34 kg produces an acceleration of 1.415 m/s². By Newton's second law, F_net = m a = 37.34 × 1.415 = 52.82 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. |
5,426 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 29.61 kg, acceleration 13.75 m/s² | A net force acting on a mass of 29.61 kg produces an acceleration of 13.75 m/s². By Newton's second law, F_net = m a = 29.61 × 13.75 = 407.3 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. |
5,427 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 18.39 kg, acceleration 10.25 m/s² | A net force acting on a mass of 18.39 kg produces an acceleration of 10.25 m/s². By Newton's second law, F_net = m a = 18.39 × 10.25 = 188.5 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. |
5,428 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 34.07 kg, acceleration 1.082 m/s² | A net force acting on a mass of 34.07 kg produces an acceleration of 1.082 m/s². By Newton's second law, F_net = m a = 34.07 × 1.082 = 36.85 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. |
5,429 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 13.49 kg, acceleration 12.61 m/s² | A net force acting on a mass of 13.49 kg produces an acceleration of 12.61 m/s². By Newton's second law, F_net = m a = 13.49 × 12.61 = 170.1 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. |
5,430 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 22.81 kg, acceleration 11.16 m/s² | A net force acting on a mass of 22.81 kg produces an acceleration of 11.16 m/s². By Newton's second law, F_net = m a = 22.81 × 11.16 = 254.6 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. |
5,431 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 24.28 kg, acceleration 7.545 m/s² | A net force acting on a mass of 24.28 kg produces an acceleration of 7.545 m/s². By Newton's second law, F_net = m a = 24.28 × 7.545 = 183.2 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. |
5,432 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 38.29 kg, acceleration 4.771 m/s² | A net force acting on a mass of 38.29 kg produces an acceleration of 4.771 m/s². By Newton's second law, F_net = m a = 38.29 × 4.771 = 182.7 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. |
5,433 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 49.96 kg, acceleration 2.935 m/s² | A net force acting on a mass of 49.96 kg produces an acceleration of 2.935 m/s². By Newton's second law, F_net = m a = 49.96 × 2.935 = 146.6 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. |
5,434 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 29.57 kg, acceleration 0.7362 m/s² | A net force acting on a mass of 29.57 kg produces an acceleration of 0.7362 m/s². By Newton's second law, F_net = m a = 29.57 × 0.7362 = 21.77 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. |
5,435 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 17.97 kg, acceleration 7.028 m/s² | A net force acting on a mass of 17.97 kg produces an acceleration of 7.028 m/s². By Newton's second law, F_net = m a = 17.97 × 7.028 = 126.3 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. |
5,436 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 23.35 kg, acceleration 13.86 m/s² | A net force acting on a mass of 23.35 kg produces an acceleration of 13.86 m/s². By Newton's second law, F_net = m a = 23.35 × 13.86 = 323.6 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. |
5,437 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 42.4 kg, acceleration 14.59 m/s² | A net force acting on a mass of 42.4 kg produces an acceleration of 14.59 m/s². By Newton's second law, F_net = m a = 42.4 × 14.59 = 618.5 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. |
5,438 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 23.45 kg, acceleration 13.5 m/s² | A net force acting on a mass of 23.45 kg produces an acceleration of 13.5 m/s². By Newton's second law, F_net = m a = 23.45 × 13.5 = 316.5 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. |
5,439 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 22.88 kg, acceleration 2.217 m/s² | A net force acting on a mass of 22.88 kg produces an acceleration of 2.217 m/s². By Newton's second law, F_net = m a = 22.88 × 2.217 = 50.73 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. |
5,440 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 37.65 kg, acceleration 6.352 m/s² | A net force acting on a mass of 37.65 kg produces an acceleration of 6.352 m/s². By Newton's second law, F_net = m a = 37.65 × 6.352 = 239.2 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. |
5,441 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 1.712 kg, acceleration 2.178 m/s² | A net force acting on a mass of 1.712 kg produces an acceleration of 2.178 m/s². By Newton's second law, F_net = m a = 1.712 × 2.178 = 3.727 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. |
5,442 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 16.18 kg, acceleration 14.85 m/s² | A net force acting on a mass of 16.18 kg produces an acceleration of 14.85 m/s². By Newton's second law, F_net = m a = 16.18 × 14.85 = 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. |
5,443 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 31.79 kg, acceleration 6.051 m/s² | A net force acting on a mass of 31.79 kg produces an acceleration of 6.051 m/s². By Newton's second law, F_net = m a = 31.79 × 6.051 = 192.4 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. |
5,444 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 1.191 kg, acceleration 11.89 m/s² | A net force acting on a mass of 1.191 kg produces an acceleration of 11.89 m/s². By Newton's second law, F_net = m a = 1.191 × 11.89 = 14.16 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. |
5,445 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 33.26 kg, acceleration 2.674 m/s² | A net force acting on a mass of 33.26 kg produces an acceleration of 2.674 m/s². By Newton's second law, F_net = m a = 33.26 × 2.674 = 88.95 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. |
5,446 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 29.85 kg, acceleration 2.84 m/s² | A net force acting on a mass of 29.85 kg produces an acceleration of 2.84 m/s². By Newton's second law, F_net = m a = 29.85 × 2.84 = 84.78 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. |
5,447 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 5.195 kg, acceleration 5.93 m/s² | A net force acting on a mass of 5.195 kg produces an acceleration of 5.93 m/s². By Newton's second law, F_net = m a = 5.195 × 5.93 = 30.81 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. |
5,448 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 7.92 kg, acceleration 5.126 m/s² | A net force acting on a mass of 7.92 kg produces an acceleration of 5.126 m/s². By Newton's second law, F_net = m a = 7.92 × 5.126 = 40.6 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. |
5,449 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 1.573 kg, acceleration 5.944 m/s² | A net force acting on a mass of 1.573 kg produces an acceleration of 5.944 m/s². By Newton's second law, F_net = m a = 1.573 × 5.944 = 9.351 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. |
5,450 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 15.52 kg, acceleration 14.33 m/s² | A net force acting on a mass of 15.52 kg produces an acceleration of 14.33 m/s². By Newton's second law, F_net = m a = 15.52 × 14.33 = 222.5 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. |
5,451 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 27.69 kg, acceleration 3.493 m/s² | A net force acting on a mass of 27.69 kg produces an acceleration of 3.493 m/s². By Newton's second law, F_net = m a = 27.69 × 3.493 = 96.74 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. |
5,452 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 24.58 kg, acceleration 10.88 m/s² | A net force acting on a mass of 24.58 kg produces an acceleration of 10.88 m/s². By Newton's second law, F_net = m a = 24.58 × 10.88 = 267.6 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. |
5,453 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 21.93 kg, acceleration 14.22 m/s² | A net force acting on a mass of 21.93 kg produces an acceleration of 14.22 m/s². By Newton's second law, F_net = m a = 21.93 × 14.22 = 311.7 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. |
5,454 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 8.411 kg, acceleration 14.54 m/s² | A net force acting on a mass of 8.411 kg produces an acceleration of 14.54 m/s². By Newton's second law, F_net = m a = 8.411 × 14.54 = 122.3 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. |
5,455 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 3.458 kg, acceleration 14.43 m/s² | A net force acting on a mass of 3.458 kg produces an acceleration of 14.43 m/s². By Newton's second law, F_net = m a = 3.458 × 14.43 = 49.89 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. |
5,456 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 3.812 kg, acceleration 4.917 m/s² | A net force acting on a mass of 3.812 kg produces an acceleration of 4.917 m/s². By Newton's second law, F_net = m a = 3.812 × 4.917 = 18.74 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. |
5,457 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 24.1 kg, acceleration 4.411 m/s² | A net force acting on a mass of 24.1 kg produces an acceleration of 4.411 m/s². By Newton's second law, F_net = m a = 24.1 × 4.411 = 106.3 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. |
5,458 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 12.14 kg, acceleration 14.16 m/s² | A net force acting on a mass of 12.14 kg produces an acceleration of 14.16 m/s². By Newton's second law, F_net = m a = 12.14 × 14.16 = 171.9 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. |
5,459 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 40.28 kg, acceleration 6.304 m/s² | A net force acting on a mass of 40.28 kg produces an acceleration of 6.304 m/s². By Newton's second law, F_net = m a = 40.28 × 6.304 = 253.9 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. |
5,460 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 1.142 kg, acceleration 4.689 m/s² | A net force acting on a mass of 1.142 kg produces an acceleration of 4.689 m/s². By Newton's second law, F_net = m a = 1.142 × 4.689 = 5.355 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. |
5,461 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 8.351 kg, acceleration 9.494 m/s² | A net force acting on a mass of 8.351 kg produces an acceleration of 9.494 m/s². By Newton's second law, F_net = m a = 8.351 × 9.494 = 79.28 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. |
5,462 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 34.36 kg, acceleration 6.492 m/s² | A net force acting on a mass of 34.36 kg produces an acceleration of 6.492 m/s². By Newton's second law, F_net = m a = 34.36 × 6.492 = 223.1 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. |
5,463 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 6.531 kg, acceleration 2.028 m/s² | A net force acting on a mass of 6.531 kg produces an acceleration of 2.028 m/s². By Newton's second law, F_net = m a = 6.531 × 2.028 = 13.25 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. |
5,464 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 14.45 kg, acceleration 10.9 m/s² | A net force acting on a mass of 14.45 kg produces an acceleration of 10.9 m/s². By Newton's second law, F_net = m a = 14.45 × 10.9 = 157.5 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. |
5,465 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 40.45 kg, acceleration 12.98 m/s² | A net force acting on a mass of 40.45 kg produces an acceleration of 12.98 m/s². By Newton's second law, F_net = m a = 40.45 × 12.98 = 524.9 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. |
5,466 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 18.79 kg, acceleration 14.56 m/s² | A net force acting on a mass of 18.79 kg produces an acceleration of 14.56 m/s². By Newton's second law, F_net = m a = 18.79 × 14.56 = 273.6 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. |
5,467 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 3.625 kg, acceleration 6.761 m/s² | A net force acting on a mass of 3.625 kg produces an acceleration of 6.761 m/s². By Newton's second law, F_net = m a = 3.625 × 6.761 = 24.51 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. |
5,468 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 21.14 kg, acceleration 3.221 m/s² | A net force acting on a mass of 21.14 kg produces an acceleration of 3.221 m/s². By Newton's second law, F_net = m a = 21.14 × 3.221 = 68.09 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. |
5,469 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 16.65 kg, acceleration 3.578 m/s² | A net force acting on a mass of 16.65 kg produces an acceleration of 3.578 m/s². By Newton's second law, F_net = m a = 16.65 × 3.578 = 59.57 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. |
5,470 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 43.66 kg, acceleration 4.757 m/s² | A net force acting on a mass of 43.66 kg produces an acceleration of 4.757 m/s². By Newton's second law, F_net = m a = 43.66 × 4.757 = 207.7 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. |
5,471 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 45.83 kg, acceleration 14.59 m/s² | A net force acting on a mass of 45.83 kg produces an acceleration of 14.59 m/s². By Newton's second law, F_net = m a = 45.83 × 14.59 = 668.7 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. |
5,472 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 39.45 kg, acceleration 8.369 m/s² | A net force acting on a mass of 39.45 kg produces an acceleration of 8.369 m/s². By Newton's second law, F_net = m a = 39.45 × 8.369 = 330.1 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. |
5,473 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 29.07 kg, acceleration 5.033 m/s² | A net force acting on a mass of 29.07 kg produces an acceleration of 5.033 m/s². By Newton's second law, F_net = m a = 29.07 × 5.033 = 146.3 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. |
5,474 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 10.12 kg, acceleration 1.994 m/s² | A net force acting on a mass of 10.12 kg produces an acceleration of 1.994 m/s². By Newton's second law, F_net = m a = 10.12 × 1.994 = 20.19 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. |
5,475 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 16.43 kg, acceleration 9.527 m/s² | A net force acting on a mass of 16.43 kg produces an acceleration of 9.527 m/s². By Newton's second law, F_net = m a = 16.43 × 9.527 = 156.5 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. |
5,476 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 48.57 kg, acceleration 3.511 m/s² | A net force acting on a mass of 48.57 kg produces an acceleration of 3.511 m/s². By Newton's second law, F_net = m a = 48.57 × 3.511 = 170.5 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. |
5,477 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 29.85 kg, acceleration 3.632 m/s² | A net force acting on a mass of 29.85 kg produces an acceleration of 3.632 m/s². By Newton's second law, F_net = m a = 29.85 × 3.632 = 108.4 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. |
5,478 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 41.07 kg, acceleration 7.38 m/s² | A net force acting on a mass of 41.07 kg produces an acceleration of 7.38 m/s². By Newton's second law, F_net = m a = 41.07 × 7.38 = 303.1 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. |
5,479 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 23.75 kg, acceleration 0.389 m/s² | A net force acting on a mass of 23.75 kg produces an acceleration of 0.389 m/s². By Newton's second law, F_net = m a = 23.75 × 0.389 = 9.24 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. |
5,480 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 25.79 kg, acceleration 1.524 m/s² | A net force acting on a mass of 25.79 kg produces an acceleration of 1.524 m/s². By Newton's second law, F_net = m a = 25.79 × 1.524 = 39.31 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. |
5,481 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 37.63 kg, acceleration 9.392 m/s² | A net force acting on a mass of 37.63 kg produces an acceleration of 9.392 m/s². By Newton's second law, F_net = m a = 37.63 × 9.392 = 353.5 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. |
5,482 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 4.525 kg, acceleration 7.415 m/s² | A net force acting on a mass of 4.525 kg produces an acceleration of 7.415 m/s². By Newton's second law, F_net = m a = 4.525 × 7.415 = 33.55 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. |
5,483 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 30.33 kg, acceleration 13.37 m/s² | A net force acting on a mass of 30.33 kg produces an acceleration of 13.37 m/s². By Newton's second law, F_net = m a = 30.33 × 13.37 = 405.6 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. |
5,484 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 47.93 kg, acceleration 4.064 m/s² | A net force acting on a mass of 47.93 kg produces an acceleration of 4.064 m/s². By Newton's second law, F_net = m a = 47.93 × 4.064 = 194.8 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. |
5,485 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 22.75 kg, acceleration 11.68 m/s² | A net force acting on a mass of 22.75 kg produces an acceleration of 11.68 m/s². By Newton's second law, F_net = m a = 22.75 × 11.68 = 265.8 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. |
5,486 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 39.67 kg, acceleration 4.216 m/s² | A net force acting on a mass of 39.67 kg produces an acceleration of 4.216 m/s². By Newton's second law, F_net = m a = 39.67 × 4.216 = 167.2 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. |
5,487 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 7.583 kg, acceleration 12.73 m/s² | A net force acting on a mass of 7.583 kg produces an acceleration of 12.73 m/s². By Newton's second law, F_net = m a = 7.583 × 12.73 = 96.54 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. |
5,488 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 3.422 kg, acceleration 3.774 m/s² | A net force acting on a mass of 3.422 kg produces an acceleration of 3.774 m/s². By Newton's second law, F_net = m a = 3.422 × 3.774 = 12.91 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. |
5,489 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 31.84 kg, acceleration 4.975 m/s² | A net force acting on a mass of 31.84 kg produces an acceleration of 4.975 m/s². By Newton's second law, F_net = m a = 31.84 × 4.975 = 158.4 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. |
5,490 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 41.33 kg, acceleration 7.29 m/s² | A net force acting on a mass of 41.33 kg produces an acceleration of 7.29 m/s². By Newton's second law, F_net = m a = 41.33 × 7.29 = 301.3 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. |
5,491 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 7.733 kg, acceleration 4.164 m/s² | A net force acting on a mass of 7.733 kg produces an acceleration of 4.164 m/s². By Newton's second law, F_net = m a = 7.733 × 4.164 = 32.2 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. |
5,492 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 16.34 kg, acceleration 14.78 m/s² | A net force acting on a mass of 16.34 kg produces an acceleration of 14.78 m/s². By Newton's second law, F_net = m a = 16.34 × 14.78 = 241.5 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. |
5,493 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 30.44 kg, acceleration 8.091 m/s² | A net force acting on a mass of 30.44 kg produces an acceleration of 8.091 m/s². By Newton's second law, F_net = m a = 30.44 × 8.091 = 246.3 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. |
5,494 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 41.29 kg, acceleration 9.723 m/s² | A net force acting on a mass of 41.29 kg produces an acceleration of 9.723 m/s². By Newton's second law, F_net = m a = 41.29 × 9.723 = 401.5 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. |
5,495 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 47.91 kg, acceleration 9.004 m/s² | A net force acting on a mass of 47.91 kg produces an acceleration of 9.004 m/s². By Newton's second law, F_net = m a = 47.91 × 9.004 = 431.4 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. |
5,496 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 6.458 kg, acceleration 11.03 m/s² | A net force acting on a mass of 6.458 kg produces an acceleration of 11.03 m/s². By Newton's second law, F_net = m a = 6.458 × 11.03 = 71.22 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. |
5,497 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 36.91 kg, acceleration 3.005 m/s² | A net force acting on a mass of 36.91 kg produces an acceleration of 3.005 m/s². By Newton's second law, F_net = m a = 36.91 × 3.005 = 110.9 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. |
5,498 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 40.04 kg, acceleration 4.309 m/s² | A net force acting on a mass of 40.04 kg produces an acceleration of 4.309 m/s². By Newton's second law, F_net = m a = 40.04 × 4.309 = 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. |
5,499 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 39.64 kg, acceleration 6.403 m/s² | A net force acting on a mass of 39.64 kg produces an acceleration of 6.403 m/s². By Newton's second law, F_net = m a = 39.64 × 6.403 = 253.8 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. |
5,500 | physics | mechanics | newton_second_law | 3 | worked_example | Newton's second law: mass 41.02 kg, acceleration 0.2626 m/s² | A net force acting on a mass of 41.02 kg produces an acceleration of 0.2626 m/s². By Newton's second law, F_net = m a = 41.02 × 0.2626 = 10.77 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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