The force-time (F−t) curve of a particle executing linear motion is as shown in the figure. The momentum acquired by the particle in time interval from zero to 8 second will be (in Ns):
A
−2
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B
4
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C
6
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D
0
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Solution
The correct option is D0 Area under the curve of force-time graph gives the change in momentum of the body during that time interval.
Area under the curve =−πr24+πr22−πr24 where r=2
⟹ Area under the curve from 0 to 8 second =0
Thus change in momentum of the particle is also zero.