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
Show Answer
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} $
