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Question: The force-time (F – t) curve of a particle executing linear motion is as shown in the figure. The mo...

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

A

– 2 N-s

B
  • 4 N-s
C

6 N-s

D

Zero

Answer

Zero

Explanation

Solution

Momentum acquired by the particle is numerically equal to the area enclosed between the F-t curve and time Axis. For the given diagram area in a upper half­ is positive and in lower half is negative (and equal to the upper half). So net area is zero. Hence the momentum acquired by the particle will be zero.