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A child and sled with a combined mass of 40.0 kg slide down a frictionless hill. If the sled starts from rest and has a speed of 9.0 m/s at the bottom, what is the height of the hill?
m

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Use conservation of energy. The mass won't matter; it cancels out of the energy conservation equaiton.

M g H = (1/2) M V^2

Solve for H, in terms of V.

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