Home
Class 11
PHYSICS
A car of mass M is moving with a uniform...

A car of mass M is moving with a uniform velocity `upsilon` on a horizontal road when the hero of a Hindi film drops himself on it from above. Taking the mass of the hero to be m what will be the velocity of the car after the event?

Text Solution

Verified by Experts

Consier the car plus the hero s the system. IN the horizontla direction, thee is no exterN/Al fore. Since the hero has fallen vertically, so his initial horizontal momentum=0
Initila horizontla momentum of the system =Mv towards right.
FiN/Ally hte heor sticks of to the roof of the car so they move with equal horizontal velocity say V. FiN/Al horizontal momentum of teh system
`=(M+m)V`
`Hence, Mv=(M+m)V`
or, V=(Mv)/M+m`
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS, LINEAR MOMENTUM, COLLISION

    HC VERMA|Exercise Question For short Answer|25 Videos
  • CENTRE OF MASS, LINEAR MOMENTUM, COLLISION

    HC VERMA|Exercise Objective -1|18 Videos
  • CENTRE OF MASS, LINEAR MOMENTUM, COLLISION

    HC VERMA|Exercise Exercises|64 Videos
  • CALORIMETRY

    HC VERMA|Exercise Exercises|18 Videos
  • CIRCULAR MOTION

    HC VERMA|Exercise Exercises|30 Videos

Similar Questions

Explore conceptually related problems

A particle of mass m is projected with velocity v making an angle of 45^@ with the horizontal When the particle lands on the level ground ,the magnitude of the change in its momentum will be

A car is moving along a straight road with uniform velocity which is the correct representation

A police car with a siren of frequency 8 kHz is moving with uniform velocity 36 km/h towards a tall building which reflect the sound waves. The speed of sound in air is 320 m/s. What is the frequency of the siren heard by the car driver ?

A car starts to move from rest with uniform acceleration 10 ms^(-2 ) then after 5 sec, what is its velocity?

A truck weighing 1000 kg is moving with velocity of 50 km/h on smooth horizontal roads. A mass of 250 kg is dropped into it. The velocity with which it moves now is

A particle of mass m moving with velocity v strikes a particle of mass 2m at rest and sticks to it. The speed of the combined mass is

A body of mass ‘M’moving with velocity 'V'explodes into two equal parts. If one comes to rest and the other body moves with the velocity 'v' what is the value of 'v'?

A uniform rod of mass M and length a lies on a smooth horizontal plane. A particle of mass m moving at a speed v perpendicular to the length of the rod strikes it at a distance a/4 from the centre and stops after the collision. Find a. the velocity of the cente of the rod and b. the angular velocity of the rod abut its centre just after the collision.

HC VERMA-CENTRE OF MASS, LINEAR MOMENTUM, COLLISION-worked out Examples
  1. A body of mass 2.5 kg is subjected to the forces shown in figure. Find...

    Text Solution

    |

  2. Two blocks of equal mass m are connected by an unstreched spring and p...

    Text Solution

    |

  3. Two block of equal mass m are connected by an unstretched spring and ...

    Text Solution

    |

  4. A projectile is fired at a speed of 100 m/s at an angel of 37^0 above ...

    Text Solution

    |

  5. A block of mass M is placed on the top of a bigger block of mass 10 M ...

    Text Solution

    |

  6. The hero of a stunt film fires 50 g bullets from a machine gun, each a...

    Text Solution

    |

  7. A block moving horizontally on a smooth surface with a speed of 20 m/s...

    Text Solution

    |

  8. A car of mass M is moving with a uniform velocity upsilon on a horizon...

    Text Solution

    |

  9. A space shuttle while travelling at a speed of 4000 km/h with respect ...

    Text Solution

    |

  10. A boy of mass 25 kg stands on a board of mass 10 kg which in turn is k...

    Text Solution

    |

  11. A man of mass m is standing on a platform of mass M kept on smooth ice...

    Text Solution

    |

  12. A ball of mass m moving with a velocity v along X-axis, strikes anothe...

    Text Solution

    |

  13. A bullet of mass 50g if fired from below into the bob of mass 450g of ...

    Text Solution

    |

  14. A light spring of spring constant k is kept compressed between two blo...

    Text Solution

    |

  15. A block of mass m is connect to another block of mass M by a massless ...

    Text Solution

    |

  16. The two balls shown in figure are identical the first ball is moving a...

    Text Solution

    |

  17. A body of mass m moving with velocity v collides head on with another ...

    Text Solution

    |

  18. A block of mass 1.2 kg moving at a speed of 20 cm /s collides head on ...

    Text Solution

    |

  19. A ball of a mass m hits the floor with as speed v making an angle of i...

    Text Solution

    |

  20. A block of mass m and a pan of equal mass are connected by a string go...

    Text Solution

    |