Question

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 8 s is

A
24 N s
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B
20 N s
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C
12 N s
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D
6 N s
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Solution

The correct option is C 12 N sFrom Newton's second law of motion, we know that, F=ΔpΔt ⇒Δp=FΔt For an F−t graph , FΔt= Area under F−t graph. So, From the data given in the diagram, Δp=(12×2×6)−(3×2)+(3×4) [Area above x−axis is taken postive , while Are below X− axis is taken negative] ⇒Δp=+12 N-s. Hence, option (c) is the correct answer.

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