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Partially Inelastic Collision

A 100 g ball ...

Question

A 100 g ball moving with a velocity of 20 m/s returns in opposite direction with a velocity of 30 m/s after striking a bat. Find the impulse.

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Solution

Let the final direction of velocity be positive.

Mass of the ball, m = 100 g = 0.1 kg
Initial velocity of the ball, u = -20 m/s
Final velocity of the ball, v = 30 m/s

Impulse experienced by the ball is equal to its change in momentum.

Impulse $= Δ P = m (v - u) = 0.1 [30 - (- 20)] = 5 k g m / s$

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