A “pool shark” takes aim at the eight ball in a game of billiards. Her shot...
A “pool shark” takes aim at the eight ball in a game of billiards. Her shot gives the cue ball a velocity of 2.5 m/s [forward]. The cue ball strikes the eight ball and continues with a velocity of 0.25 m/s [forward]. If the mass of both the cue ball and the eight ball equals 400 g, calculate the velocity of the eight ball after collision.
Homework Answers
Let us consider the forward direction that is the initial velocity direction of the cue ball as positive.
Mass of the cue ball = m1 = 400 g = 0.4 kg
Mass of the eight ball = m2 = 400 g = 0.4 kg
Initial velocity of the cue ball = V1 = 2.5 m/s (Positive as it is forward)
Initial velocity of the eight ball = V2 = 0 m/s
Velocity of the cue ball after the collision = V3 = 0.25 m/s (Positive as it is forward)
Velocity of the eight ball after the collision = V4
By conservation of linear momentum,
V4 = 2.25 m/s
The velocity is positive therefore the direction of the velocity is forward.
Velocity of the eight ball after the collision = 2.25 m/s forward
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