Home
Class 11
PHYSICS
A man is standing on a cart of mass doub...

A man is standing on a cart of mass double the mass of man. Initially cart is at rest. Now, man jumps horizontally with velocity `u` relative to cart. Then work done by man during the process of jumping will be

A

`(mu^2)/(2)`

B

`(3mu^2)/(4)`

C

`mu^2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
`2mv=m(u-v)`

`:. v=u/3`
`:. u-v=(2u)/(3)`
`KE=1/2xxm((2u)/(3))^2+1/2(2m)(u/3)^2`
`=1/3mu^2`
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY|Exercise Level 2 Single Correct Option|1 Videos

  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY|Exercise Level 2 More Than One Correct|8 Videos

  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY|Exercise Level 1 Subjective Questions|1 Videos

  • CENTRE OF MASS, IMPULSE AND MOMENTUM

    DC PANDEY|Exercise Comprehension type questions|15 Videos

  • CIRCULAR MOTION

    DC PANDEY|Exercise Medical entrances s gallery|19 Videos

Similar Questions

Explore conceptually related problems

A man is standing on a cart of mass double the mass of the man. Initially car is at rest on the smooth ground. Now man jumps with relative velocity 'v' horizontaly towards right with respect to cart. Find the work done by man during the process of jumping.

A man of mass m is standing on a stationary flat car of mass M. The car can move without friction along horizontal rails. The man starts walking with velocity v relative to the car. Work done by him

When a man walks on a horizontal surface with constant velocity, work done by

A man of mass m_1 is standing on a platform of mass m_2 kept on a smooth horizontal surface. The man starts moving on the platform with a velocity v_r relative to the platform. Find the recoil velocity of platform.

A man of mass m is standing on a plank of equal mass m resting on a smooth horizontal surface. The man starts moving on the plank with speed u relative to the plank. The speed of the man relative to the ground is

A man of mass m stands on a long flat car of mass M , moving with velocity V.If he now begins to run with velocity u, with respect to the car , in the same direction as V, the the velocity of the car will be

A man is pushing a cart down a slope. Suddenly the cart starts moving faster and he wants to slow it down. What should he do?

Two identical buggies of each of mass 150 kg move one after the other friction with same velocity 4m/s . A man of mass m rides the rear buggy. At a certain moment, the man jumps into the front buggy with a velocity v relative to his buggy. As a result of this process, real boggy stops. If the sum of kinetic energies of the man and the front buggy just after collision with the from buggy differs from that just before collision by 2700 J then the mass m of the man is

DC PANDEY-CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION-Level 2 Single Correct
  1. Two blocks A and B of mass m and 2m are connected together by a light ...

    Text Solution

    |

  2. A striker is shot from a square carom board from a point A exactly at ...

    Text Solution

    |

  3. A ball of mass 1kg is suspended by an inextensible string 1m long atta...

    Text Solution

    |

  4. A ball falls vertically onto a floor with momentum p and then bounces ...

    Text Solution

    |

  5. A bullet of mass mm penetrates a thickness h of a fixed plate of mass ...

    Text Solution

    |

  6. Two identical balls of equal masses A and B, are lying on a smooth sur...

    Text Solution

    |

  7. The figure shows a metallic plate of uniform thickness and density. Th...

    Text Solution

    |

  8. Particle A makes a head on elastic collision with another stationary p...

    Text Solution

    |

  9. A particle of mass 4m which is at rest explodes into four equal fragme...

    Text Solution

    |

  10. A ladder of length L is slipping with its ends against a vertical wall...

    Text Solution

    |

  11. A body of mass 2g, moving along the positive x-axis in gravity free sp...

    Text Solution

    |

  12. A body of mass m is dropped from a height of h. Simultaneously another...

    Text Solution

    |

  13. A man is standing on a cart of mass double the mass of man. Initially ...

    Text Solution

    |

  14. Two balls of equal mass are projected upwards simultaneously, one from...

    Text Solution

    |

  15. A particle of mass m and momentum p moves on a smooth horizontal table...

    Text Solution

    |

  16. An equilateral triangular plate of mass 4m of side a is kept as shown....

    Text Solution

    |

  17. Four cubes of side a each of mass 40g, 20g, 10g and 20g are arranged i...

    Text Solution

    |

  18. A particle of mass m0, travelling at speed v0. Strikes a stationary pa...

    Text Solution

    |

  19. Two bars of masses m1 and m2 connected by a weightless spring of stiff...

    Text Solution

    |

  20. n elastic balls are placed at rest on a smooth horizontal plane which ...

    Text Solution

    |