A ski slope drops at an angle of 24 degrees with respect to the horizontal and is 500 m long. A 60 kg skier skis down from the top to the bottom of the slope.

A.) Determine the change in gravitational potential energy of the skier+earth system.
b.) If 20% of the gravitation potential energy of the system is transformed into the kinetic energy of the skier, how fast is the skier going at the bottom of the slope?

1 answer

A.) the height of the slope is
___ 500m * sin(24º)

GPE = m g h

b.) .2 m g h = 1/2 m v^2

.4 g h = v^2