To determine Whether the shot is a ‘scratch shot’. Explanation Given The balls are of equal masses and the collision is elastic. Formula used Since the collision is elastic, both momentum and energy conservation equations have to be used. The red ball is initially at rest, its speed is zero. Let the speed of the cue ball before the collision is v . Let the speeds of the cue ball and the red ball be v 1 and v 2 . Let the mass of each ball be m . From momentum conservation, m v = m v 1 + m v 2 From energy conservation, 1 2 m v 2 = 1 2 m v 1 2 + 1 2 m v 2 2 Calculation: From momentum conservation equation, m v = m v 1 + m v 2 v = v 1 + v 2 From energy conservation, 1 2 m v 2 = 1 2 m v 1 2 + 1 2 m v 2 2 v 2 = v 1 2 + v 2 2 From momentum and energy conservation equations v 2 = v 1 2 + v 2 2

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ISBN: 9780321625922

Author: Douglas C. Giancoli

Publisher: Addison-Wesley

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Chapter 7, Problem 86GP

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Whether the shot is a ‘scratch shot’.

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Physics: Principles with Applications

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