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Q.

The force $F$ acting on a particle of rnass $m$ is indicated by the force-time graph as shown. The change in the momentum of the particle over time interval from 0 to 8 s is

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a

$24 N s$

b

$12 N s$

c

$6 N s$

d

$20 N s$

answer is C.

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Detailed Solution

Change in momentum $=$ Area under $F - t$ graph in that interval

$=$ Area of $∆ A B C$ $-$ Area of rectangle $C D E F$ + Area of rectangle $F G H I$

$= \frac{1}{2} \times 2 - 6 - 3 \times 2 + 4 \times 3 = 12 N s$

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