A child and sled with a combined mass of 57.0 kg slide down a frictionless slope. If the sled starts from rest and has a speed of 2.40 m/s at the bottom, what is the height of the hill?

The height of the hill is 29.3 cm.

Explanation:

Given that,

The combined mass of a child and sled, m = 57 kg

Initial speed of the sled, u = 0

Speed at the bottom of the sled, v = 2.4 m/s

We need to find the height of the hill. The energy at the bottom and the top will remains the same due to the law of conservation of energy. So,

So, the height of the hill is 29.3 cm. Hence, this is the required solution.

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