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kinetic energy and loss of potential energy

1. What velocity does a 1-kg object have when its kinetic energy is 1 J?

2. A man skis down a slope 200 m high. If his velocity at the bottom of the slope is 20 m/s, What percentage of his potential energy was lost due to friction and air resistance?

Solution Preview

1. The kinetic energy is Ek = 0.5mv^2.

Ek = 1 J
m = 1 kg,

0.5 * 1 * v^2 = 1
v^2 = 2
v =sqrt (2) = 1.4 m/s
The velocity is about 1.4 m/s to have kinetic energy of 1 J for a 1-kg object.

2. When he is at the top of the slope, his kinetic energy is ...

Solution Summary

The solutions provides an example of working with loss of potential energy when the man skies down the slope.