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Instantaneous Force and Impulse

A ball of mas...

Question

A ball of mass $20 g$ hits a wall at an angle $45^{\circ}$ with a velocity of $15 m s^{- 1}$ . If the ball rebounds at $90^{\circ}$ to the direction of incidence, calculate the impulse received by ball.

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Solution

$m = 20 g = 0.02 k g,$
$v = 15 m / s$
Impulse is given by momentum change $= m . Δ v$
$= m . (v_{f} - v_{i}) sin θ$
$= 0.02 (- 15 - 15) sin 45^{\circ}$
$= 0.42 k g . m / s$

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