The force acting on a particle of mass is indicated by the force-time graph as shown. The change in momentum of the particle over the time interval from zero to 8 s is [2014]

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Solution

Q.
The force $F$ acting on a particle of mass $m$ is indicated by the force-time graph as shown. The change in momentum of the particle over the time interval from zero to 8 s is [2014]

1 24 N s

2 20 N s

3 12 N s

4 6 N s

Ans.
(3)

Change in momentum = Area under $F - t$ graph in that interval = Area of $∆$ ABC $-$ Area of rectangle CDEF $+$ Area of rectangle FGHI

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

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