Problem 3: A cue ball of mass m₁0.31 kg is shot at another billiard ball, with mass m₂ 0.555 kg, which is at rest. The cue ball has an initial speed of v= 5.5 m/s in the positive direction. Assume that the collision is elastic and exactly head-on. Part (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. 12 Part (b) What is this velocity, in meters per second? Part (c) Write an expression for the horizontal component of the cue ball's velocity, vif, after the collision. Part (d) What is the horizontal component of the cue ball's final velocity, in meters per second?

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Problem 3: A cue ball of mass m, 0.31 kg is shot at another billiard ball, with mass m₂ 0.555 kg, which is at rest. The cue ball has an initial
speed of v= 5.5 m/s in the positive direction. Assume that the collision is elastic and exactly head-on.
Part (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.
12
Part (b) What is this velocity, in meters per second?
Part (c) Write an expression for the horizontal component of the cue ball's velocity,
vif, after the collision.
Part (d) What is the horizontal component of the cue ball's final velocity, in meters per
second?
Transcribed Image Text:Problem 3: A cue ball of mass m, 0.31 kg is shot at another billiard ball, with mass m₂ 0.555 kg, which is at rest. The cue ball has an initial speed of v= 5.5 m/s in the positive direction. Assume that the collision is elastic and exactly head-on. Part (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. 12 Part (b) What is this velocity, in meters per second? Part (c) Write an expression for the horizontal component of the cue ball's velocity, vif, after the collision. Part (d) What is the horizontal component of the cue ball's final velocity, in meters per second?
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