Question

A man pulls a bucket of water of mass $10kg$ from a well $5metre$ deep in $5second$. Calculate the power of the man.

Answer 1

Step 1: Given data

$$\begin{gathered} \mathrm{Mass},\mathrm{m}=10\mathrm{kg} \\ H\mathrm{eight},\mathrm{h}=5\mathrm{m} \\ \mathrm{Time},\mathrm{t}=5\sec \\ \text{Acceleration due to gravity}\mathrm{g}=9.8\mathrm{m}/{\mathrm{s}}^2 \end{gathered}$$

Step 2: Find the power of the man

The power in terms of energy and time,

$$\begin{gathered} \mathrm{Power}=\frac{\mathrm{Energy}}{\mathrm{Time}} \\ \mathrm{P}=\frac{\mathrm{mgh}}{\mathrm{t}} \\ \mathrm{P}=\frac{10\times 5\times 9.8}{5} \\ \mathrm{Power}=98watt \end{gathered}$$

Hence, the power is $\mathbf{98}\mathbf{}\mathit{w}\mathit{a}\mathit{t}\mathit{t}$.