Home
Class 11
PHYSICS
A well 20 m deep and 7m in diameter is f...

A well 20 m deep and 7m in diameter is full of water. Calculate the work done in pumping the whole of water up to ground level.

Text Solution

Verified by Experts

Given, `h=20 m , D=7m , W=?`
Volume of water `=(pi D^2 h)/(4)=(3.142xx7xx7xx20)/(4)`
i.e., `V=769.79m^3, p_w=10^3 kgm^(-3)`
Mass of water be pumped ` =m=Vp_w=769.79xx10^3=7.6979xx10^5 kg`
Work done `=mgh, g=10 ms^(-2)`
`W=7.6979xx10^5xx10xx20J=15.3958xx10^7`.
`therefore W=1.54xx10^8 J`.
Promotional Banner

Topper's Solved these Questions

  • PU BOARD MODEL QUESTION PAPER (WITH ANSWERS)

    SUBHASH PUBLICATION|Exercise EXERCISE (PART - C)|8 Videos

  • PHYSICAL WORLD

    SUBHASH PUBLICATION|Exercise TWO MARKS QUESTIONS WITH ANSWERS|30 Videos

  • SUPER MODEL QUESTION PAPER (WITH ANSWERS)

    SUBHASH PUBLICATION|Exercise PART - D|11 Videos

Similar Questions

Explore conceptually related problems

A tank is filled with water upto a height H=1.00m. Water is allowed to come out of a hole in one of the walls at a depth h =0.20m below the surface of water. Calculate the range of the jet of water from the orifice.

A magnet of magnetic moment M is freely suspended in a constant uniform magnetic field of intensity H. Calculate work done in deflecting the magnet through an angle theta from the direction of H.

An air bubble of diameter 1 xx 10^(-3)m rises in water. Calculate the terminal velocity of the bubble.

500 persons are taking a dip in a cuboidal pond 80 m long and 50 m broad. What is rise of water level in the pond if the average displacement of water by a person is 0.04 m^(3) .

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

A piece of iron of density 7.8 xx 10^(3) kgm^(-3) and volume 10^(-4) m^(3) is fully immersed in water. Calculate (i) weight of the iron piece in air (ii) upthrust of water on the iron piece (iii) apparent weight of the iron piece in water. Given g=10ms^(-2)

A sonar device on a submarine sends out a signal and receives an echo 5 a later .Calculate the speed of sound in water if the distance of the object from the submarine is 3625m.

A rectangular tank with base dimensions 6mxx11 m contains water up to 5m. All the water in this m. determine the height to which the water level rises.