Home
Class 11
PHYSICS
The spacecraft of mass M moves with velo...

The spacecraft of mass M moves with velocity v in free space at first, then it explodes breaking into two pieces. If after explosion a piece of mass m comes to rest, the other piece of space craft will have a velocity :

A

MV/(M-m)

B

MV/(M+m)

C

mV/((M-m)

D

mV/(M+m)

Text Solution

Verified by Experts

The correct Answer is:
A

`Mvec(v)=m.0+(M-m)vec(v)`
`vec(v)'=(Mvec(v))/((M-m))`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A space craft of mass 2000 kg moving with a velocity of 600m//s suddenly explodes into two pieces. One piece of mass 500 kg is left stationary. The velocity of the other part must be (in m//s )

A space craft of mass M is travelling in space with velocity v. It then breaks up into two parts such that the smaller part m comes to the rest, then the velocity of the remaining part is-

A shell initially at rest explodes into two pieces of equal mass, then the two pieces will

A bomb of mass m is thrown with velocity v. It explodes and breaks into two fragments. One fragment of mass m', immediately after the explosion, comes to rest. The speed of the other fragment will be

A srtone of mass m_(1) moving at uniform speed v suddenly explodes into two fragments. If the fragment of mass m_(2) is at rest, the speed of the other fragment is

A bomb of mass 5 m initially at rest explodes and breaks into three pieces of masses in the ratio 1 : 1 : 3 . The two pieces of equal mass fly off perpendicular to each other with a speed of v_(0) . What is the velocity of the heavier piece? Also , calculate the energy released in explosion.

A body at rest breaks into two pieces of equal masses. The parts will move

RESONANCE-CENTRE OF MASS-Exercise
  1. A shell of mass 100 kg is fired horizontally from a cannon with a mass...

    Text Solution

    |

  2. Two masses of 1 g and 4 g are moving the equal kinetic energy. Ratio o...

    Text Solution

    |

  3. The spacecraft of mass M moves with velocity v in free space at first,...

    Text Solution

    |

  4. When two blocks connected by a spring move towards each other under mu...

    Text Solution

    |

  5. A ball collides impinges directly on a similar ball at rest. The first...

    Text Solution

    |

  6. A continuous stream of particles, of mass m and velocity r, is emitted...

    Text Solution

    |

  7. Statement -1: If kinetic energy of a system is zero then linear moment...

    Text Solution

    |

  8. If momentum of two objects are of same magnitude. Then speed of lighte...

    Text Solution

    |

  9. A body has its centre of maas at the origin. The x-coordinates of the ...

    Text Solution

    |

  10. In which of the following cases the centre of mass of a system is cert...

    Text Solution

    |

  11. If the external forces acting on a system have zero resultant, the cen...

    Text Solution

    |

  12. In an elastic collision in absence of external force, which of the fol...

    Text Solution

    |

  13. Find the position of centre of mass of the section shown in figure

    Text Solution

    |

  14. A man of mass M hanging with a light rope which is connected with a ba...

    Text Solution

    |

  15. Three particles of masses 20g, 30g and 40g are initially moving along ...

    Text Solution

    |

  16. Velocity of a particle of mass 2kg varies with time t according to the...

    Text Solution

    |

  17. A bullet of mass a and velocity b is fired into a large block of mass ...

    Text Solution

    |

  18. A force - time graph for a linear motion is shown in the figure where ...

    Text Solution

    |

  19. Five identical elastic balls are so suspended with strings of equal le...

    Text Solution

    |

  20. A particle of mass m moving with velocity u(1) collide elastically wit...

    Text Solution

    |