The device shown in Figure P5.31 is called a Newton's cradle. Any collision between the balls in

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The device shown in Figure P5.31 is called a Newton's cradle. Any collision between the balls in the device in Figure P5.31 is elastic.

(a) If one end ball is pulled back and let go, as shown, would it be a violation of conservation of momentum if two balls at the other end bounced up at half the first ball's speed?

\((b)\) Would the result in part \(a\) be a violation of conservation of energy?

(c) Show that the only result consistent with both conservation laws is that for \(n\) balls raised and let go, \(n\) balls rise on the other side.

Data from Figure P5.31

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