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Question

Physics Question on Power

The power of water pump is 4 kW. The volume of water it can raise in one minute to a height of: (Assume g=10 m/s2g=10\,m/{{s}^{2}} )

A

4 m34\,{{m}^{3}}

B

0.1 m30.1\,{{m}^{3}}

C

2.0 m32.0\,{{m}^{3}}

D

2.4 m32.4\,{{m}^{3}}

Answer

2.4 m32.4\,{{m}^{3}}

Explanation

Solution

Power of pump = 4000 watt, g=10 m/s2,g=10\,m\text{/}{{s}^{2}}, h=10 m,h=10\,m, t=60 sec⁡t=60\,\sec P=mghtP=\frac{mgh}{t} or m=Ptghm=\frac{Pt}{gh} m=4000×6010×10=2400 kgm=\frac{4000\times 60}{10\times 10}=2400\,kg Now, volume =massdensity=24001000=2.4 m3=\frac{\text{mass}}{\text{density}}=\frac{2400}{1000}=2.4\,{{m}^{3}}