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Question

A rigid ball of mass m strikes a wall at 60 and gets reflected without loss of speed as shown in figure. The value of impulse imparted by the wall on the ball will be:

A
mv
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B
2 mv
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C
mv2
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D
mv3
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Solution

The correct option is A mv
The component of velocity has changed along xdirection as shown in figure, hence momentum of ball has changed along the x direction after receiving impulse from the wall.


Net impulse in x- direction=ΔPx
Jx=(Px)f(Px)i=(mvcos60 ^i)(mvcos60 ^i)
Jx=2mvcos60 ^i=2mv×12=mv ^i
|Jx|=mv
Hence wall has exerted impulse of value mv in a direction normal to wall.

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