All Problems

Laws of Conservation

Problem 1.158

A steel ball of mass \(m=50 \mathrm{~g}\) falls from the height \(h\) \(=1.0 \mathrm{~m}\) on the horizontal surface of a massive slab. Find the cumulative momentum that the ball imparts to the slab after numerous bounces, if every impact decreases the velocity of the ball \(\eta=1.25\) times.

Reveal Answer
Δp=m2gh(η+1)/(η−1)=0.2 kg⋅m/s\Delta p=m \sqrt{2 g h}(\eta+1) /(\eta-1)=0.2 \mathrm{~kg} \cdot \mathrm{m} / \mathrm{s}
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