# Chapter 11 - Impulse and Momentum - Exercises and Problems - Page 288: 30

The lighter ball has a speed of $3~v_0$

#### Work Step by Step

Since the initial momentum of the system of two balls is zero, the magnitude of the lighter ball's final momentum $p_L$ should be equal to the magnitude of the heavier ball's final momentum $p_H$. We can equate the magnitudes of the momenta to find the speed $v$ of the lighter ball. $p_L = p_H$ $m~v = 3m~v_0$ $v = 3~v_0$ The lighter ball has a speed of $3~v_0$.

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