QJEEM24Pha1fe: JEE Main 2024 Physics - Class 11 JEEM24Pha1fe Solution: A body of mass 2   kg begins to move under the action of a …

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QJEEM24Pha1fe: JEE Main 2024 Physics - Class 11 JEEM24Pha1fe Solution: A body of mass 2   kg begins to move under the action of a …

A body of mass $2 kg$ begins to move under the action of a time dependent force given by $\vec{F} = (6 t \hat{i} + 6 t^{2} \hat{j}) N$ . The power developed by the force at the time $t$ is given by:

Multiple Choice Options

A (3t3+6t5)W
B (9t5+6t3)W
C (6t4+9t5)W
D (9t3+6t5)W

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Accepted Answer

$\begin{aligned} \vec{F} = (6 t \hat{i} + 6 t^{2} \hat{j}) N \\ \vec{F} = m \vec{a} = (6 t \hat{i} + 6 t^{2} \hat{j}) \\ \vec{a} = \frac{\vec{F}}{m} = (3 t \hat{i} + 3 t^{2} \hat{j}) \\ \vec{v} = \int_{0}^{t} \vec{a} d t = \frac{3 t^{2}}{2} \hat{i} + t^{3} \hat{j} \\ P = \vec{F} \cdot \vec{v} = (9 t^{3} + 6 t^{5}) W \end{aligned}$

QJEEM24Pha1fe: JEE Main 2024 Physics - Class 11 JEEM24Pha1fe Solution: A body of mass 2 &nbsp; kg begins to move under the action of a …

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QJEEM24Pha1fe: JEE Main 2024 Physics - Class 11 JEEM24Pha1fe Solution: A body of mass 2 kg begins to move under the action of a …