A 15 kg child slides, from rest, down a play- ground slide that is 4.0 m long, as shown in the figure. The slide makes a 40° angle with the horizontal. The child's speed at the bot- tom is 3.2 m/s. What was the force of friction that the slide was exerting on the child?

The acceleration of a particle moving along the = -7 t + 4 t* + 3 t2, 7. x-axis is given by the function where a is in meters per second squared and t in seconds. What is the particle's velocity at t = 2 s if the object's mass is 11.3 kg and has an initial velocity of 1.6 m/s?

A block is sent up an incline with a velocity of 3.51 m/s. Assume there is no friction between the incline and the block. The angle is at an incline of 31.1 degrees with the horizontal. A) How far up the incline does the block go? B) How long does it take to get there? C) What is it's speed when it gets back to the bottom?

The block in the figure is given a push up the incline so that its initial velocity is 8.00 m/s. What distance along the incline (in m) does the block move before coming to rest? Assume the surface is frictionless, and 0 21.0⁰. = 3 0

The diagram shows a box moving down a green ramp, beginning from rest at the top of the ramp and ending at the bottom. The angle of the ramp's surface with the horizontal and the distance the box moves on the ramp from top to bottom are shown in the diagram. Given this information, how long does it take the box to reach the bottom of the ramp? Assume the surface of the ramp is frictionless and ignore air resistance. Use g = 9.81 m/s². Give your answer in units of seconds to two significant figures. When inputting your answer in the box below, enter a numerical value only (without the unit's symbol or name). Ax = 36 m 8 = 30°

In the rollercoaster shown in the figure, the height of the first hill is 24.5 meters, and the height of the second hill is 12.8 meters. The track of the rollercoaster is frictionless.    If the rollercoaster car’s velocity is 20.4 m/s, what was its velocity at the top of the first hill?  v =    m/s

A cyclist coasts up a 10.0 degree slope, traveling 20.0 m along the road to the top of the hill. If the cyclist’s ini- tial speed is 9.00 m/s, what is the final speed? Ignore friction and air resistance

Two blocks are connected by a massless rope over a massless, frictionless pulley, as shown in the figure. The mass of block 2 is m2 12.1 kg, and the coefficient of kinetic friction 0.200. The angle 0 of between block 2 and the incline is µk the incline is 33.5°. If block 2 is moving up the incline at 2 constant speed, what is the mass mj of block 1? 1 kg M¡ =

A 0.2 kg ball is caught in a 0.5 kg glove.  The ball had been moving at 8.0 m/s and it required 5.0 N of force to stop it.  What was the force on the glove?

A 1,865.66 kg car at rest at the top of a hill 20 m high is given a nudge and begins to roll down the hill.  It rolls up a 8.39 m hill on the other side.  How fast is it moving as it tops the lower hill?