Laws Of Motion Question 301

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:

Options:

A) 24 Ns

B) 20 Ns

C) 12 Ns

D) 6 Ns

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Answer:

Correct Answer: C

Solution:

[c] Change in momentum, $ \Delta p=\int _{{}}^{{}}{Fdt} $

$ =\text{Area of F-t graph } $

$ \text{= ar of }\Delta -\text{ ar of }+\text{ ar of } $

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



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