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A body of mass 1 kg begins to move under the action of a time dependent force $\vec{F} = (2 t \hat{i} + 3 t^{2} \hat{j}) N$ where $\hat{i} and \hat{j}$ jare unit vectors along x and y-axis. What power will be developed by the force at the time t

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detailed solution

Correct option is D

F→=2ti^+3t2j^⇒mdv→dt=2ti^+3t2j^ {m=1kg}⇒∫0v dv→=∫0t 2i^+3t2j^dt⇒v→=t2i^+t3j^Power =F→⋅v→=2t3+3t5W

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A body of mass 1 kg begins to move under the action of a time dependent force F→=2ti^+3t2j^N where i^ and j^ jare unit vectors along x and y-axis. What power will be developed by the force at the time t

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Ready to Test Your Skills?

free study material

A body of mass 1 kg begins to move under the action of a time dependent force $\vec{F} = (2 t \hat{i} + 3 t^{2} \hat{j}) N$ where $\hat{i} and \hat{j}$ jare unit vectors along x and y-axis. What power will be developed by the force at the time t