Yellow Version Solutions

33rads2 b 44rads2 c 56rads2 d 67rads2 e

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Unformatted text preview: 8 6 16 t 2 6. A particle with mass m = 20 kg is sliding on a horizontal, frictionless surface with an initial linear i momentum pi 60 [in kgm/s]. Starting at t = 0 sec, a net force F t 3.8ti [in N] is applied to the particle. a) Calculate the impulse of the particle at time tf = 3 seconds. (4 points) b) Find the linear momentum of the particle at time tf = 3 seconds. (4 points) c) How much work has been done on the particle from t = 0 to tf = 3 seconds? (5 points) 3 7. A 15.0 kg block is attached to a very light horizontal spring of force constant 500 N/m and is resting on a horizontal table with a coefficient of friction of 0.2. Suddenly it is struck by a 2.0 kg stone traveling horizontally to the right: the speed of the stone just before hitting the block is 8.0 m/s to the right. The stone rebounds at 2 m/s horizontally to the left. a) Find the speed of the block after collision. (5 points) b) Find the maximum distance that the block will compress the spring after the collision. (10 points) 4 8. A 0.20‐kg particle moves along the x axis under the influence of a single conservative force given by the equation F x 16 x 8 x 3 . a) Find the potential energy of the particle at x = 1.0 m knowing that the potential energy was zero when the particle was at the origin. (4 points) b) If the particle is initially is at rest at the origin, find its speed when it has moved 2.0 m. (8 points) P6 13/ P1‐5 10/ P7 15/ P8 12/ Total 50/ 5...
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