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Q.

The magnitude of force f(in newton) acting on a body varies with time t (in millisecond) as shown in figure. Find the magnitude of the total impulse (in Ns) of the force on the body from t=4 ms to  t=16ms.

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answer is 5.

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Detailed Solution

Impulse from t =4 ms to t =16ms =area under the F-t graph =area of EBCD

 =area of trapezium EBCF+ area of ΔCDF

 12×200+800N×2×10−3s

+12×800N×10×10−3s 

=1+ 4 = 5Ns

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