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 ?
Here, F→=2t i^+3t2 j^N, m=1 kg
Velocity of the body at time t
v→=∫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