Using the Conservation of Mechanical Energy, solve the following problems.
6. Starting from rest, a 95 kg skier heads down a steep slope 185 m high.
(a) Describe the energy transformation that occurs as the skier descends the slope.
(b) Determine the skier’s speed exactly half way down the slope.
(c) Determine the skier’s speed at the bottom of the slope.

7. Starting from rest, a 24 kg child goes down a frictionless slide with a height h. When the child
reaches the bottom of the slide, she is moving at 5.8 m/s.
(a) Describe the energy transformation that occurs as the child descends the slide.
(b) Determine the child’s height at the top of the slide.


8. At an amusement park, a 45 kg swimmer uses a water slide to enter the main pool. If the
swimmer starts at rest, slides without friction, and descends through a vertical height of 2.31
m, what is her speed at the bottom of the slide?