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. A person pushes a 35 kg bookcase across the floor by applying a 175 N horizontal force. The coefficient of

kinetic friction between the bookcase and the floor is 0.47. What is the bookcase's acceleration?

2. A student pushes a 7.8 kg trashcan across the floor by applying an 86 N force at an angle 35° below horizontal. The coefficient of kinetic friction is 0.41. What is the acceleration of the trashcan?

3. The 0.2 kg hanging mass in your lab had a downward acceleration of 0.85 m/s2 . What is the tension in the string?

4. An eraser is pushed up a chalkboard with a force of 13.6 N. The push is applied into the board and makes an angle of 27° with the board surface as shown in the figure to the right. The eraser moves up the board with constant velocity, and the coefficient of kinetic friction between the eraser and the board is 0.27. What is the mass of the eraser? 5. A car initially traveling at 23.5 m/s comes to a sliding stop on a wet street. The coefficient of kinetic friction between the street and the tires is 0.1. How long will it take for the car to come to a stop? How far will it travel during this time?

6. An 18.0 kg box is released on a 37.0° incline and accelerates down the incline at 0.27m/s2 . Find the friction force impeding its motion. How large is the coefficient of kinetic friction?

7. A block slides down a smooth 22.0° ramp. (a) Determine the acceleration of the block as it slides down the plane. (b) If the block starts from rest 9.10 m up the plane from its base, what will be the block's speed when it reaches the bottom of the incline?

8. A block is given an initial speed of 3.0 m/s up the same 22.0° inclined ramp. (a) How far up the ramp will it go? (b) How much time elapses before it returns to its starting point? Ignore friction.

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