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2. The driver of a 1500 kg car traveling on the interstate at 30.0 m/s slams on his brakes to avoid hitting a second vehicle in front of him, which had come to rest because of congestion ahead. After the brakes are applied, a constant kinetic friction force of magnitude 7300 N acts on the car. Ignore air resistance. (a) At what minimum distance should the brakes be applied to avoid a collision with the other vehicle? (b) If the distance between the vehicles is initially only 30.0 m, at what speed would the collision occur? 3) A 60.0-kg skier is at the top of a slope. At the initial point A, she is 10.0 m vertically above point B. (a) Setting the zero level for gravitational potential energy at B, find the gravitational potential energy of this system when the skier is at A and then at B. Finally, find the change in potential energy of the skier-Earth system as the skier goes from point A to point B. (b) Repeat this problem with the zero level at point A. (c) Repeat again, with the zero level 2.00 m higher than point B. 4) A block with a mass of 5.00 kg is attached to a horizontal spring with spring constant k = 400 N/m. The surface the block rests upon is frictionless. If the block is pulled out to xi = 5 cm and released, (a) find the speed of the block when it first reaches the equilibrium point, (b) find the speed when x = 2.5 cm, and (c) repeat part (a) if friction acts on the block, with coefficient μk = 0.150. 5) A pickup truck with a mass of 1800 kg is traveling eastbound at +15.0 m/s, while a compact car with a mass of 900 kg is traveling westbound at -15.0 m/s. The vehicles collide head-on, becoming entangled. (a) Find the speed of the entangled vehicles after the collision. (b) Find the change in the velocity of each vehicle. (c) Find the change in the kinetic energy of the system consisting of both vehicles. 6) Two billiard balls of identical mass move toward each other as in with the positive x-axis to the right (steps 1 and 2). Assume that the collision between them is perfectly elastic. If the initial velocities of the balls are +30.0 cm/s and -20.0 cm/s, what are the velocities of the balls after the collision? Assume friction and rotation are unimportant.

          2. The driver of a 1500 kg car traveling on the interstate at 30.0 m/s slams on his brakes to avoid hitting a second vehicle in front of him, which had come to rest because of congestion ahead. After the brakes are applied, a constant kinetic friction force of magnitude 7300 N acts on the car. Ignore air resistance. (a) At what minimum distance should the brakes be applied to avoid a collision with the other vehicle? (b) If the distance between the vehicles is initially only 30.0 m, at what speed would the collision occur? 3) A 60.0-kg skier is at the top of a slope. At the initial point A, she is 10.0 m vertically above point B. (a) Setting the zero level for gravitational potential energy at B, find the gravitational potential energy of this system when the skier is at A and then at B. Finally, find the change in potential energy of the skier-Earth system as the skier goes from point A to point B. (b) Repeat this problem with the zero level at point A. (c) Repeat again, with the zero level 2.00 m higher than point B. 4) A block with a mass of 5.00 kg is attached to a horizontal spring with spring constant k = 400 N/m. The surface the block rests upon is frictionless. If the block is pulled out to xi = 5 cm and released, (a) find the speed of the block when it first reaches the equilibrium point, (b) find the speed when x = 2.5 cm, and (c) repeat part (a) if friction acts on the block, with coefficient μk = 0.150. 5) A pickup truck with a mass of 1800 kg is traveling eastbound at +15.0 m/s, while a compact car with a mass of 900 kg is traveling westbound at -15.0 m/s. The vehicles collide head-on, becoming entangled. (a) Find the speed of the entangled vehicles after the collision. (b) Find the change in the velocity of each vehicle. (c) Find the change in the kinetic energy of the system consisting of both vehicles. 6) Two billiard balls of identical mass move toward each other as in with the positive x-axis to the right (steps 1 and 2). Assume that the collision between them is perfectly elastic. If the initial velocities of the balls are +30.0 cm/s and -20.0 cm/s, what are the velocities of the balls after the collision? Assume friction and rotation are unimportant.

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