Home
Class 11
PHYSICS
A bomb of mass 60 kg moving uniformly wi...

A bomb of mass 60 kg moving uniformly with a velocity of 10m/s explodes spontaneously into two fragments of 40 kg and 20 kg. If the velocity of the larger fragments is zero, then calculate the velocity of the smaller fragement.

A

`40m//s`

B

`20m//s`

C

`50m//s`

D

`30m//s`

Text Solution

Verified by Experts

The correct Answer is:
D
`mv=m_(1)v_(1)+m_(2)v_(2)`
`therefore 60(10)=20v_(1)+40(0)`
`therefore 600=20v_(1)`
`therefore v_(1)=30m//s`
Promotional Banner

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    KUMAR PRAKASHAN|Exercise SECTION-F QUESTIONS FROM MODULE|22 Videos

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    KUMAR PRAKASHAN|Exercise SECTION-F (SECTION-A) QUESTIONS PAPER|6 Videos

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    KUMAR PRAKASHAN|Exercise SECTION-D NCERT EXEMPLAR SOLUTIONS (LONG ANSWER TYPE QUESTIONS)|6 Videos

  • QUESTIONS ASKED IN JEE - 2020

    KUMAR PRAKASHAN|Exercise Question|16 Videos

  • THERMAL PROPERTIES OF MATTER

    KUMAR PRAKASHAN|Exercise Question Paper (Section - D) (Answer following in brief :) Each carry 4 marks|1 Videos

Similar Questions

Explore conceptually related problems

A bomb of mass 50 kg at rest explodes into two pieces of masses 40 kg and 10 kg. The velocity of bigger pieces is zero then velocity of smaller piece is ………. ms^(-1) .

A stationary bomb of mass 10 kg suddenly explode in two fragment of 4 kg and 6 kg. Ratio of their velocity will b e .....

A bomb of mass 16kg at rest explodes into two pieces of masses 4 kg and 12 kg. The velolcity of the 12 kg mass is 4 ms^-1 . The kinetic energy of the other mass is

A car moving with a velocity of 10m/s can be stopped by the application of a constant force F In a distance of 20m. If the velocity of the car is 30m/s. It can be stopped by this force in

A body of mass 10kg is moving with a constant velocity of 10m//s . When a constant force acts for 4 seconds on it, it moves with a velocity 2m//sec in the opposite direction. The acceleration produced in it is

An object of mass 5 kg is moving with a velocity of 10 ms ^(-1). A force is aplied so that in 20 s, it attains a velocity of 25 ms ^(-1). What is the force aplied on the object ?

A particle of mass 2kg moving with a velocity 5hatim//s collides head-on with another particle of mass 3kg moving with a velocity -2hatim//s . After the collision the first particle has speed of 1.6m//s in negative x-direction, Find (a) velocity of the centre of mass after the collision, (b) velocity of the second particle after the collision. (c) coefficient of restitution.

An object of mass 5 kg is projecte with a velocity of 20ms^(-1) at an angle of 60^(@) to the horizontal. At the highest point of its path , the projectile explodes and breaks up into two fragments of masses 1kg and 4 kg. The fragments separate horizontally after the explosion, which releases internal energy such that K.E. of the system at the highest point is doubled. Calculate the separation betweent the two fragments when they reach the ground.

KUMAR PRAKASHAN-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-SECTION-E MULTIPLE CHOICE QUESTIONS
  1. A bird of 3 kg is flying with a constant velocity of (2hati-4hatj)m//s...

    Text Solution

    |

  2. The centre of mass of a ring of uniform mass distribution lies ………….

    Text Solution

    |

  3. A bomb of mass 60 kg moving uniformly with a velocity of 10m/s explode...

    Text Solution

    |

  4. The moment of inertia of a disc of uniform density about on axis coinc...

    Text Solution

    |

  5. A wheel initially at rest acquires an angular velocity of 128 rad s^(-...

    Text Solution

    |

  6. A shell following a parabolic path explodes some where in its flight. ...

    Text Solution

    |

  7. A bus of 2500 kg is moving on a straight road with a speed of 40 km/h....

    Text Solution

    |

  8. In cricket match, a bowler throws a ball of 0.5 kg with a speed of 20 ...

    Text Solution

    |

  9. If the external force acting on a system of particle is zero then …………...

    Text Solution

    |

  10. The centre of mass of a rigid body ………… the rigid body.

    Text Solution

    |

  11. Angular momentum of the particle rotating with a centripetal force is ...

    Text Solution

    |

  12. The radius of gyration of a ring about the tangent perpendicular to it...

    Text Solution

    |

  13. Kinetic energy and angular velocity of a rigid body are E and omega re...

    Text Solution

    |

  14. A fly wheel starts rotating from rest and acquires rotational speed of...

    Text Solution

    |

  15. Two identical spheres are rolling down the slope. One is solid and oth...

    Text Solution

    |

  16. A motor is rotating at a constant angular velocity of 600 rpm. The ang...

    Text Solution

    |

  17. A solid cylinder is rolling down the inclined plane without slipping. ...

    Text Solution

    |

  18. A ball rolls without slipping. The radius of gyration of the ball abou...

    Text Solution

    |

  19. A solid cylinder of mass M and radius R rolls without slipping down an...

    Text Solution

    |

  20. A thin circular ring M and radius r is rotating about its axis with a ...

    Text Solution

    |