In this problem we show that when one ball is pulled to the left in the photo on page 275, only a single ball recoils to the right−under ideal elastic-collision conditions. To begin, suppose that each ball has a mass m, · and that the ball coming in from the left strikes the other balls with a speed v0. Now, consider the hypothetical case of two balls recoiling to the right. Determinethe speed the two recoiling balls must have in order to satisfy (a) momentum conservation and (b) energy conservation. Since these speeds are not the same, it follows that momentum and energy cannot be conserved simultaneously with a recoil of two balls.
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