A cue ball of mass m1 = 0.325 kg is shot at another billiard ball, with mass m2 = 0.505 kg, which is at rest. The cue ball has an initial speed of v = 7.5 m/s in the positive direction. Assume that the collision is elastic and exactly head-on. (a)  Write an expression for the horizontal component of the billiard ball's velocity, v2f, after the collision, in terms of the other variables of the problem. (b)  What is this velocity, in meters per second? (c) Write an expression for the horizontal component of the cue ball's velocity, v1f, after the collision. (d)  What is the horizontal component of the cue ball's final velocity, in meters per second?

Principles of Physics: A Calculus-Based Text
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Chapter8: Momentum And Collisions
Section: Chapter Questions
Problem 2OQ: A head-on, elastic collision occurs between two billiard balls of equal mass. If a red ball is...
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A cue ball of mass m1 = 0.325 kg is shot at another billiard ball, with mass m2 = 0.505 kg, which is at rest. The cue ball has an initial speed of v = 7.5 m/s in the positive direction. Assume that the collision is elastic and exactly head-on.

(a)  Write an expression for the horizontal component of the billiard ball's velocity, v2f, after the collision, in terms of the other variables of the problem.

(b)  What is this velocity, in meters per second?

(c) Write an expression for the horizontal component of the cue ball's velocity, v1f, after the collision.

(d)  What is the horizontal component of the cue ball's final velocity, in meters per second?

 

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