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A particle is displaced from point A (2, 3) to point B (3, 2) under the influence of a constant force $\vec{F} = (3 \hat{i} + a \hat{j}) N$ . If the speed of the particle remains unchanged, then value of ‘a’ is

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detailed solution

Correct option is A

Displacement d→=3−2i^+2−3j^=i^−j^mSince change in kinetic energy of the particle is zero, net work done on the particle must be zero. ∴ Wnet=F→.d→=3i^+aj^.i^−j^=0⇒3−a=0⇒a=3

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A particle is displaced from point A (2, 3) to point B (3, 2) under the influence of a constant force F→=3i^+aj^N. If the speed of the particle remains unchanged, then value of ‘a’ is

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free study material

A particle is displaced from point A (2, 3) to point B (3, 2) under the influence of a constant force $\vec{F} = (3 \hat{i} + a \hat{j}) N$ . If the speed of the particle remains unchanged, then value of ‘a’ is