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Questions  

A body of mass 1kg begins to move under the action of a time dependent force F=(2t i^+3t2 j^)N,where i^ and j^ are unit vectors along x

 and yaxis. What power will be developed by the force at the time t ?

a
2t3+3t4W
b
2t3+3t5W
c
2t2+3t3W
d
2t2+4t4W

detailed solution

Correct option is B

Here, F→=2t i^+3t2 j^N, m=1 kg Velocity of the body at time tv→=∫a→dt=∫2t i^+3t2 j^dt=t2 i^+t3 j^   ms-1∴ Power developed by the force at time t,P=F→·v→=2ti^+3t2j^·t2i^+t3j^ W=2t3+3t5 W

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