A ball of mass 0.1 lb is dropped vertically down from a height of 10 feet onto a

Question

A ball of mass 0.1 lb is dropped vertically down from a height of 10 feet onto a rigid floor. The coefficient of restitution is 0.87. Find the maximum height attained by the ball after the first, second and third impacts. Find the energy losses after the first, second and third impacts.

Explanation / Answer

h = 10 ft = 3.048 m (a) h = v2 / 2g          = => v =2 g h = 2 * 9.8 * 3.048 = 7.729 m/s       h1 = e2 h = 2.307m       h2 = e4 h = 1.746 m       h3 = e6 h = 1.321 m (b) initial energy = m g h = 1.354 J       1 second P1 = 1.0255 J            ==>energy loss = 0.328 J       2 second P2 = 0.7761 J          ==> energy loss= 0.5778 J       3 second P3 = 0.587 J          ==> energy loss= 0.7667 J

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