The figure to the right shows a pool slide of length 5.50 m. The end point of the slide is at 30.0 cm above the water level on the pool. During a summer vacation, an initially at rest 34.5 kg child slides from the top and splashes into the pool water at a speed of 8.00 m/s. While sliding, the child encounters a constant friction of 45.0 N. (a) What is the speed of the child at the end of the slide? (b) At what height above the water leyel should the pool slide start? h 1 30.0 cm 5.50 m

A 60.0 kg skier with an initial speed of 16.5 m/s coasts up a 2.50 m high rise as shown in the figure. Find her final speed right at the top, in meters per second, given that the coefficient of friction between her skis and the snow is 0.35.

The drawing shows two boxes resting on frictionless ramps. One box is relatively light and sits on a steep ramp. The other box is heavier and rests on a ramp that is less steep. The boxes are released from rest at A and allowed to slide down the ramps. The two boxes have masses of 10 and 31 kg. If A and B are 3.0 and 1.5 m, respectively, above the ground, determine the speed of (a) the lighter box and (b) the heavier box when each reaches B. (c) What is the ratio of the kinetic energy of the heavier box to that of the lighter box at B? (a) VB= (b) VB= (c) KEheavier KElighter Number i Number i Number i VA= 0 m/s "A=0 m/s AT K HA B hg Units Units Units <

A 60.0 kg skier with an initial speed of 15 m/s coasts up a 2.50 m high rise as shown in the figure. what is her final speed given the coefficient of friction between her skies and the snow is 0.39

A child and sled with a combined mass of 58.0 kg slide down a frictionless slope. If the sled starts from rest and has a speed of 2.00 m/s at the bottom, what is the height of the hill?

A girl on a skateboard (total mass of 40 kg) is moving at a speed of 10 m/s at the bottom of a long ramp. The ramp is inclined at 20° with respect to the horizontal. If she travels 14.2 m upward along the ramp before stopping, what is the net frictional force on her?

f-5-3 N 18. A block of ice with mass 2.00 kg slides 0.605 m down an inclined plane that slopes downward at an angle of 30.2° below the horizontal. If the block of ice starts from rest, what is its final speed? You can ignore friction. Express your answer in meters per second.

A block slides along a track with an initial velocity vo = 7.0 m/s from one level to a higher level after passing through an intermediate valley. The difference h from the initial position to the elevated track is 0.89 m. The track is frictionless until reaches the top. There (at the top), a frictional force stops the block in a distance d. The coefficient of kinetic friction  between the block and the surface is 0.60. Find the distance d.

A 13.0kg stone slides down an icy, essentially frictionless, hill that is shown in the figure. At the top of the hill, the stone is moving at 1.75m/s down the hill. While the hill is frictionless, the stone experiences friction along the level, rough ground (beyond the base of the hill) all the way to a wall. The coefficients of static and kinetic friction are 0.800 and 0.300 respectively. The stone slides along the ground for 9.15m before making contact with a long spring, which has a spring constant of 25.0N/m. (“Long” in this case means that the spring is sufficiently long to stop the stone before it hits the wall.) Will the stone move again after it has been stopped by the spring?

A 60.0 kg skier with an initial speed of 14 m/s coasts up a 2.50 m high rise as shown in the figure. Find her final speed right at the top, in meters per second, given that the coefficient of friction between her skis and the snow is 0.39.