A metal ball hits a wall and does not rebound | vedclass

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(B) Let the mass of the balls be $m$ and the initial velocity be $v_1$. For the metal ball,the final velocity $v_2 = 0$ (as it does not rebound). The

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The rubber ball experiences a greater change in momentum.

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(B) Let the mass of the balls be $m$ and the initial velocity be $v_1$. For the metal ball,the final velocity $v_2 = 0$ (as it does not rebound). The change in momentum is $\Delta p = m(v_2 - v_1) = m(0 - v_1) = -mv_1$. The magnitude of change is $|\Delta p| = mv_1$. For the rubber ball,the final velocity $v_2' = -v_1$ (as it rebounds with the same velocity). The change in momentum is $\Delta p' = m(v_2' - v_1) = m(-v_1 - v_1) = -2mv_1$. The magnitude of change is $|\Delta p'| = 2mv_1$. Comparing the two,$|\Delta p'| > |\Delta p|$. Therefore,the rubber ball experiences a greater change in momentum.

$A$ metal ball hits a wall and does not rebound,whereas a rubber ball of the same mass hits the wall with the same velocity and rebounds. What can be concluded from this?

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