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Question

A particle is simultaneously acted upon by two forces of magnitude 3N and 4N. The net force on the particle is:


A
7N
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B
5N
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C
1N
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D
Between 1N and 7N
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Solution

The correct option is A Between 1N and 7N
The resultant of two vector $$\vec{A}$$ and $$\vec{B}$$ is $$\sqrt{A^2+B^2+2AB\cos \theta}$$. Where, $$\theta$$ is the angle between them. Now $$\theta$$ can vary from 0 to 180 degree which makes the resultant vector to vary from $$(A+B)$$ to $$(A-B)$$. Here, for two forces of magnitude 3N and 4N the net force can vary from $$1N$$ to $$7N $$ according to the angle between them.

Physics

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