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AP Physics Name __________________________ Chapter 4 – Problems 1. A box of mass 5.0 kg is pulled vertically upward by a force of 68 N applied to a rope attached to the box. Determine the A. rate of acceleration of the box and B. vertical velocity of the box after 2.0 seconds of motion. 2. A hockey puck of mass 0.50 kg traveling at 10 m/s on a horizontal surface slows to 2.0 m/s over a distance of 80 m. Determine the A. magnitude of the frictional force acting on the puck and B. coefficient of kinetic friction between the puck and the surface. 3. A student of mass 50 kg decides to test Newton’s laws of motion by standing on a bathroom scale placed on the floor of an elevator. Assume that the scale reads in newtons. Determine the scale reading when the elevator is A. accelerating upward at 0.50 m/s2 B. traveling upward with a constant speed of 3.0 m/s, and C. traveling upward but decelerating at 1.0 m/s2. 4. A wooden plank is raised at one end until an angle of 30o is achieved. A 2.0 kg box is placed on the incline 1.0 m from the lower end and given a slight tap to overcome static friction. The coefficient of kinetic friction between the box and plank is 0.20. Determine the A. rate of acceleration of the box down the incline and B. speed of the box at the bottom. Assume that the initial speed of the box is zero. 5. In a device known as an Atwood machine, a massless, unstretchable rope passes over a frictionless peg. One end of the rope is connected to an object m1 = 1.0 kg while the other end is connected to an object m2 = 2.0 kg. The system is released from rest and the 2.0 kg object accelerates downward while the 1.0 kg object accelerates upward. Calculate the A. rate of acceleration B. tension of the rope 6. Object m2 = 10.0 kg is connected by a massless, unstretchable string to an object m1 = 7.0 kg which rests on a 30o incline. M2 is higher on the ramp than m1. The coefficient of friction between the both objects and the incline is 0.10. Determine the A. rate of acceleration of the system and B. tension in the rope that connects the boxes. Assume that m2 accelerates downward and that m1 accelerates up the incline.