Home
Class 11
PHYSICS
A pump is required to lift 1000kg of wat...

A pump is required to lift `1000kg` of water per minute from a well `20m` deep and eject it at a rate of `20ms^-1`.
a. How much work is done in lifting water?
b. How much work is done in giving in KE?
c. What HP(horsepower) engine is required for the purpose of lifting water?

Text Solution

Verified by Experts

Work done in lifting water=Gain in PE(potential energy)
Work`=1000xxgxx20=1.96xx10^5Jmin^-1`
Work done(per minute) in giving it KE
`=1/2mv^2=1/2(1000)(20)^2=2xx10^5Jmin^-1`
Power of the engine=Work done per second
`=1/60(1.96+2)xx10^5J=6.6xx10^3W`
Since `1HP=746W`, HP required `=8.85`.
Promotional Banner

Topper's Solved these Questions

  • WORK, POWER & ENERGY

    CENGAGE PHYSICS ENGLISH|Exercise Solved Examples|15 Videos

  • WORK, POWER & ENERGY

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 8.1|25 Videos

  • VECTORS

    CENGAGE PHYSICS ENGLISH|Exercise Exercise Multiple Correct|5 Videos

Similar Questions

Explore conceptually related problems

A pump is required to lift 1000 kg of water per minute from a well 20 m deep and ejects at a speed of 20 m/s. The power of engine is

A pump is required to lift 1000kg of water per minute from a well 12m deep and eject it with a speed of 20ms^-1 . How much work is done per minute in lifting the water and what must be the power output of the pump?

A pump is required to lift 800 kg of water per minute from a 10 m deep well and eject it with speed of 20 kg m//s . The required power in watts of the pump will be

What is the power of an engine which can lift 600 kg of water per minute from 20 m deep well?

The average power of the pump which lifts 20kg of water per second from a well 10m deep and projects it with a velocity 10m//s is (g=10m//s^(2))

The average power of the pump which lifts 20kg of water per second from a well 10m deep and projects it with a velocity 10m//s is (g=10m//s^(2))

A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute?

Ten litre of water per second is lifted from well through 20m and delivered with a velocity of 10 m/s, then the power of the motor is :

Four men light a 250 kg box to a height of 1m and hold it without raising or lowering it. (a) How much work is done by the men in lifting the box ? (b) How much work do they do in just holding it ? (c ) why do they get tired while holding it ? (g = 10m//s^2)

A hoop of radius 2 m weight 100 kg .It rolls along a horizontal floor so that its centre of mass has a speed of 20 cm s^-1 . How much work has to be done to stop it ?