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 ?

Question

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 ?

Infinity Learn · Accepted Answer

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

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

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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 ?

Unlock the full solution & master the concept.

Ready to Test Your Skills?

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