A piece of ice is dropped from a height H. (a) Find the minimum value of H

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A piece of ice is dropped from a height H.

(a) Find the minimum value of H such that the ice melts when it makes an inelastic collision with the ground. Assume that all the mechanical energy lost goes into melting the ice.

(b) Is it reasonable to neglect the variation in the acceleration of gravity in doing this problem?

(c) Comment on the reasonableness of neglecting air resistance. What effect would air resistance have on your answer?

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