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Question

The displacement – time graph of a body of mass 2 kg is shown. Find the impulse acting on the body in the time interval t=2 sec to t=6 sec

A
23 kg m/s
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B
(3+1) kg m/s
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C
(31) kg m/s
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D
2(31) kg m/s
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Solution

The correct option is D 2(31) kg m/s
Mass of the body = 2 kg
We know that the slope of xt graph gives velocity.
At t=2 sec
Velocity = u=22=1 m/s
At t=6 sec
Velocity, v=tan 60=3 m/s
Impulse = change in momentum = (mvmu)=2(31) kg m/s

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