Question

# A particle of mass m strikes a wall elastically with speed v at an angle 30o with the wall as shown in the figure. The magnitude of impulse imparted to the ball by the wall is:

A
mv
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B
mv2
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C
2mv
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D
3mv
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Solution

## The correct option is A mvBefore the particle strike, Linear momentum perpendicular to the wall=mvsin(30o)=mv2Linear momentum along to the wall=mvcos(30o)After the particle strike, Linear momentum perpendicular to the wall=−mvsin(30o)=−mv2Linear momentum along to the wall=mvcos(30o)Impulse=change in linear momentum, Linear Momentum changed only perpendicular to the wall.⇒Impulse=−mv2−mv2=−mvMagnitude of Impulse is mv

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