First slide

Line of impact

Question

An object of m kg with speed of v m/s strikes a wall at an angle $θ$ and rebounds at the same speed and same angle. The magnitude of the change in momentum of the object will be

Moderate

A

$2 mv cosθ$
B

$2 mv sinθ$
C

0
D

2mv

Solution

${\vec{P}}_{1} = mv sinθ \hat{i} - mvcosθ \hat{j} and \vec{P_{2}} = mvsinθ \hat{i} + mvcosθ \hat{j}$
So change in momentum
$\vec{ΔP} = \vec{P_{2}} - \vec{P_{1}} = 2 mv cosθ \hat{j}, | Δ \vec{P} | = 2 mv cosθ$

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