Home
Class 11
PHYSICS
Water is drawn from a well in a 5kg drum...

Water is drawn from a well in a `5kg` drum of capacity `55L` by two ropes connected to the top of the drum. The linear mass density of each rope is `0.5kgm^-1`. The work done in lifting water to the ground from the surface of water in the well `20m` below is
`[g=10ms^-2]`

A

(a) `1.4xx10^4J`

B

(b) `1.5xx10^4J`

C

(c) `9.8xx10xx6J`

D

(d) `18J`

Text Solution

Verified by Experts

The correct Answer is:
A
Work done in lifting water and drum is
`60xx10xx20J=12000J`
Total mass of ropes `=40xx0.5kg=20kg`
Work done in the case of ropes is
`20xx10xx10=2000J`
Total work done `=14000J`
Promotional Banner

Topper's Solved these Questions

  • WORK, POWER & ENERGY

    CENGAGE PHYSICS ENGLISH|Exercise Multiple Correct|25 Videos

  • WORK, POWER & ENERGY

    CENGAGE PHYSICS ENGLISH|Exercise Linked Comprehension|55 Videos

  • WORK, POWER & ENERGY

    CENGAGE PHYSICS ENGLISH|Exercise Subjective|23 Videos

  • VECTORS

    CENGAGE PHYSICS ENGLISH|Exercise Exercise Multiple Correct|5 Videos

Similar Questions

Explore conceptually related problems

The radius of a well is 7m. Water in it is at a depth of 20m and depth of water column is 10m. Work done in pumping out water completely from the well is (g=10ms^(-2))

A stone is dropped into a well of 20 m deep. Another stone is thrown downward with velocity 'v' one second later. If both stones reach the water surface in the well simultan eously, v is equal to (g = 10 ms^(-2))

Two painters are working from a wooden hoard 5 m long suspended from the top of a building by two ropes attached to the ends of the plank. Either rope can withstand a maximum tension of 1040 N . Painter A of mass 80 kg is working at a distance of 1 m from one end. Painter B of mass 60 kg is working at a distance of x in from the centre of mass of the board on the other side. Take mass of the board as 20 kg and g = 10ms^(-2) . The range of x so that both the painters can work safely is

Two identical masses of 5 kg each fall on a wheel from a height of 10 m . The wheel disturbs a mass of 2 kg water, the rise in temperature of water will be :-

A person pulls a bucket of water from a well of depth h. if the mass of uniform rope is and that of the bucket full 0f water is M, then work done by the person 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 bucket full of water weighs 5 kg, it is pulled from a well 20 m deep. There is a small hole in the bucket through which water leaks at a constant rate. If it is observed that for every meter the bucket loses 0.2 kg mass of water, then the total work done in pulling the bucket up from the well is [g = 10ms^(-2) ]

A body of mass 2 kg is dropped from rest from a height 20 m from the surface of Earth. The body hits the ground with velocity 10 m/s, then work done: (g=10m//s^(2))

A motor pump lifts 6 tonnes of water from a height of 25 m to a height 35m from the ground floor in 20 seconds. The power of the pump (in kW) is [g = 10 ms^(-2)]

A ball of mass 1 kg falls from a height of 5m above the free surface of water. The relative density of the solid ball is s=2//3 . The ball travels a distance of 2m under water and becomes stationary. The work done by the resistive forces of water is

CENGAGE PHYSICS ENGLISH-WORK, POWER & ENERGY-Single Correct
  1. Figure shows a smooth vertical circular track AB of radius R. A block ...

    Text Solution

    |

  2. A bead of mass m is released from rest at A to move along the fixed sm...

    Text Solution

    |

  3. A simple pendulum consisting of a mass M attached to a string of lengt...

    Text Solution

    |

  4. Two bodies of masses m and 4m are attached to a light string as shown ...

    Text Solution

    |

  5. A 500-kg car, moving with a velocity of 36kmh^-1 on a straight road un...

    Text Solution

    |

  6. Two spring P and Q having stiffness constants k1 and k2(ltk1), respect...

    Text Solution

    |

  7. In the above question, if equal forces are applied on two springs, the...

    Text Solution

    |

  8. Water is drawn from a well in a 5kg drum of capacity 55L by two ropes ...

    Text Solution

    |

  9. A bead of mass 1/2 kg starts from rest from A to move in a vertical pl...

    Text Solution

    |

  10. A block of mass m is connected to a spring of spring constant k as sho...

    Text Solution

    |

  11. Figure shows a plot of the potential energy as a function of x for a p...

    Text Solution

    |

  12. A 20-kg block attached to a spring of spring constant 5Nm^-1 is releas...

    Text Solution

    |

  13. Two identical blocks, each having mass M, are placed as shown in figur...

    Text Solution

    |

  14. A 1kg stone at the end of 1m long string is whirled in a vertical circ...

    Text Solution

    |

  15. A 1 kg stone at the end of 1 m long string is whirled in a vertical ci...

    Text Solution

    |

  16. Ball A of mass m, after sliding from an inclined plane, strikes elasti...

    Text Solution

    |

  17. A ball of mass m is released from A inside a smooth wedge of mass m as...

    Text Solution

    |

  18. A small sphere is given vertical velocity of magnitude v0=5ms^-1 and i...

    Text Solution

    |

  19. In the figure, block A is released from rest when the spring is its na...

    Text Solution

    |

  20. A block of mass 5.0kg slides down from the top of an inclined plane of...

    Text Solution

    |