question_answer

What is the power of a pump which takes 10 seconds to lift 100kg of water to a water tank situated at a height of 20 m? (\[\text{g}=\text{1}0\text{m}/{{\text{s}}^{\text{2}}}\])

Answer:

\[t=10s\] \[m=100\,kg\] \[h=20\,m\] \[g=10\,\,m/{{s}^{2}}\] \[P=\frac{w}{t}=\frac{mgh}{t}=\frac{100\times 10\times 20}{10}\]                 \[=200\,w\]                 \[=2\,kw\]