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  • A body of mass 1 kg begins to move under the action of a time dependent force <img alt="\mathrm{\vec{F}=\left (t\hat{i}+3t^{2}\hat{j} \right )N}" src="https://entrancecorner.oncodecogs.com/gif.late

A body of mass 1 kg begins to move under the action of a time dependent force \mathrm{\vec{F}=\left (t\hat{i}+3t^{2}\hat{j} \right )N}, where \mathrm{\hat{i}} and \mathrm{\hat{j}} are the unit vectors along \mathrm{x} and \mathrm{y} axis. The power developed by above force, at the time \mathrm{t=2s} will be _________ \mathrm{W}.

Option: 1

100


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\begin{aligned} & \overrightarrow{\mathrm{v}}=\int_0^2 \mathrm{t} d t \hat{i}+3 \int_0^2 \mathrm{t}^2 \mathrm{dt} \hat{\mathrm{j}} \\ \end{aligned}

\begin{aligned} & =2 \hat{i}+8 \hat{j} \\ \end{aligned}

\begin{aligned} & \overrightarrow{\mathrm{F}}=2 \hat{\mathrm{i}}+12 \hat{\mathrm{j}} \\ \end{aligned}

\begin{aligned} & \mathrm{P}=\overrightarrow{\mathrm{F}} \cdot \overrightarrow{\mathrm{V}} \\ \end{aligned}

\begin{aligned} & =4+96 \\ & =100 \mathrm{w} \end{aligned}

Posted by

Irshad Anwar

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