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Q.

The force F acting on a particle of mass m is indicated by the force - time graph shown below. The change in momentum of the particle over the time interval from zero to 8s is

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a

24 Ns

b

20 Ns

c

12 Ns

d

6 Ns

answer is C.

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Detailed Solution

Area under the curve of a F- t graph gives the momentum change.

$A_{1} = \frac{1}{2} (2) 6 = 6 Ns$

$A_{2} = 2 (- 3) = - 6 Ns$

$A_{3} = 4 (3) = 12 Ns$

$Δ P_{Net} = A_{1} + A_{2} + A_{3} = 12 Ns$

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