If a force \(F\) is applied on a body and it moves with a velocity \(v\), the power will be
If a force \(F\) is applied on a body and it moves with a velocity \(v\), the power will be
- \(F \cdot v\)
- \(\frac{F}{V}\)
- \(\frac{F}{v^2}\)
- \(F \cdot v^2\)
Solution
We know that, power is given as
\(\begin{aligned}
& P=\frac{d W}{d t}=\frac{d}{d t}[F \cdot s] \quad[\because W=F \cdot s] \\
& =F \cdot \frac{d s}{d t} \quad \text { [For constant force } F \text {] } \\
& \Rightarrow \quad P=F \cdot v \quad {\left[\because v=\frac{d s}{d t}\right]} \\
\end{aligned}\)
Asked in: AP EAMCET 2020 (18 Sep Shift 1)
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