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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:
828104_3289294e79384ca78b07736e53cf659a.png

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 mv
Before the particle strike,

Linear momentum perpendicular to the wall=mvsin(30o)=mv2

Linear momentum along to the wall=mvcos(30o)

After the particle strike,

Linear momentum perpendicular to the wall=mvsin(30o)=mv2

Linear momentum along to the wall=mvcos(30o)

Impulse=change in linear momentum,

Linear Momentum changed only perpendicular to the wall.

Impulse=mv2mv2=mv

Magnitude of Impulse is mv

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