The ram of a pile driver has a mass of (800 mathrm{~kg}) and is released from rest

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The ram of a pile driver has a mass of \(800 \mathrm{~kg}\) and is released from rest \(2 \mathrm{~m}\) above the top of the \(2400-\mathrm{kg}\) pile. If the ram rebounds to a height of \(0.1 \mathrm{~m}\) after impact with the pile, calculate \((a)\) the velocity \(v_{p}{ }^{\prime}\) of the pile immediately after impact,

(b) the coefficient of restitution \(e\), and

(c) the percentage loss of energy due to the impact.

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