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The engine of a water pump develops a po...

The engine of a water pump develops a power of 5 kW. How much time it will takes to lit 500 litre of water from the bottom of the building to the terrace at a height of 20 m? `[g=10m//s^(2)]`

A

8s

B

12s

C

16s

D

20s

Text Solution

Verified by Experts

The correct Answer is:
D
Given : `v=6km//h=(6xx1000)/(3600)=(5)/(3)m//s`
`sin theta =(1)/(25)`
The component mg sin `theta` of their combined weight acts downwards.
`therefore` He has to apply a minimum force of mg sin `theta`.
`because` Power = Force `xx` velocity `= mg sin theta xx v`
`=120xx10xx(1)/(25)xx(5)/(3)=80` watt
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