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A 7.50 kg bowling ball moving at 4.00 m/s makes an elastic head on collision with...

A 7.50 kg bowling ball moving at 4.00 m/s makes an elastic head on collision with a 2.50 kg bowling pin initially at rest. Find the velocity of the bowling pin after the collision.

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Answer #1

Mass of the bowling ball = m1 = 7.5 kg

Mass of the bowling pin = m2 = 2.5 kg

Initial velocity of the bowling ball = V1 = 4 m/s

Initial velocity of the bowling pin = V2 = 0 m/s (At rest)

Velocity of the bowling ball after the collision = V3

Velocity of the bowling pin after the collision = V4

The collision is elastic.

Coefficient of restitution = e = 1

By conservation of linear momentum,

V4 = 6 m/s

Final velocity of the bowling pin after the collision = 6 m/s

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