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Question

A ball moving with a momentum of 5kgm/s strikes against a wall at an angle of 45° and is deflected at the same angle. Calculate the change in momentum.


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Solution

Step 1: Given Data

Momentum p=5kgm/s

Angle of deflection θ=45°

Step 2: Explanation

Let us divide the momentum into its components, and consider the pcosθ as shown in the figure.

From the figure, we see that the cosine component of the momentum undergoes no change.

Therefore the change in momentum along the wall is zero.

So, the actual change in moment occurs due to the sine component of the momentum.

According to the figure, the momentum after bouncing back goes in the opposite direction.

Step 3: Calculate the Change in Momentum

Therefore, a change in momentum

p=-psinθ-psinθ

=-2psinθ

=-2×5×sin45°

=-2×5×12

=-7kgm/s

Hence, the change in momentum is 7kgm/s in the opposite direction.


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