Home
Class 11
PHYSICS
A light spring of spring constant k is k...

A light spring of spring constant k is kept compressed between two blocks of masses m and M on a smooth horizontal surface. When released, the blocks acquire velocities in opposite directions. The spring loses contact with the blocks when it acquires natural length. The spring was initially compressed through a distance, d. Find the final speed of the block of mass, m.

A

`sqrt((kM)/(m(M+m)))xxx`

B

`sqrt((kM)/(m+(m+M)))xxx`

C

`sqrt((kM)/(m(M-m)))xxx`

D

`sqrt((kM)/(M(M-m)))xxx`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SHM-WAVE,GRAVITATION,FLUID,HEAT

    MOTION|Exercise EXERCISE|109 Videos

Similar Questions

Explore conceptually related problems

A light spring of spring constant k is kept compressed between two blocks of masses m and M on a smooth horizontal surface. When released, the blocks acquire velocities in opposite directions. The spring loses contact with the blocks when it acquires natural length. I fhte spring was initially compressed through a distance d find the final speeds of the two blocks.

A light spring of constant k is kept compressed between two blocks of masses m and M on a smooth horizontal surface. When released, the block acquire velocities in opposite directions. The spring loses contact with the blocks when it acquires natural length. if the spring was initially compressed through a distance x , find the final speeds of the two blocks.

Two blocks of masses m_(1) and m_(2) are kept on a smooth horizontal table as shown in figure. Block of mass m_(1) (but not m_(2) is fastened to the spring. If now both the blocks are pushed to the left so that the spring is compressed a distance d. The amplitude of oscillatin of block of mass m_(1) after the system is released is

In the fig 4.24 a block of mass m moves with velocity v_(0) toward a stationaly block of a mass M on a smooth horizontal surface. Find the maximum compression in the spring of stiffnesss constant K.

A light spring of force constant 'K' is held between two blocks of masses 'm' and '2m'. The two blocks and the spring system rests on a smooth horizontal floor. Now th blocks are moved towards each other compressing the springs by 'x' and suddenly released. The relative velocity between the blocks when the spring attains its natural length will be

Two blocks A and B of masses m & 2m placed on smooth horizontal surface are connected with a light spring. The two blocks are given velocities as shown when spring is at natural length. (i) Find velocity of centre of mass (b) maximum extension in the spring

An ideal spring is permanently connected between two blocks of masses M and m . The blocks-spring system can move over a smooth horizontal table along a straight line along the length of the spring as shown in Fig.The blocks are brought nearer to compress the spring and then released. In the subsequent motion,

A block of mass m is connected to another block of mass M by a spring (massless) of spring constant k. The block are kept on a smooth horizontal plane. Initially the blocks are at rest and the spring is unstretched. Then a constant force F starts acting on the block of mass M to pull it. Find the force of the block of mass M.

A block of mass m moving with velocity v_(0) on a smooth horizontal surface hits the spring of constant k as shown. Two maximum compression in spring is

A spring, placed horizontally on a rough surface is compressed by a block of mass m, placed on the same surface so as to store maximum energy in the spring. If the coefficient of friction between the block and the surface is mu , the potential energy stored in the spring is

MOTION-MECHANICS-EXERCISE
  1. A sphere is moving with velocity vector 2hati+2hatj immediately before...

    Text Solution

    |

  2. Two particles having position vectors vec(r )(1) = ( 3 hat(i) + 5 hat(...

    Text Solution

    |

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

    Text Solution

    |

  4. Force acting on a particle is )jˆ3 iˆ (2  N. Work done by this force ...

    Text Solution

    |

  5. A pendulum of mass 1 kg and length  = 1m is released from rest at ang...

    Text Solution

    |

  6. The system is released from rest with both the springs in unstretched ...

    Text Solution

    |

  7. In previous question maximum speed of the block placed horizontally is...

    Text Solution

    |

  8. A particle undergoes uniform circular motion. About which point on the...

    Text Solution

    |

  9. A horizontal circular plate is rotating about a vertical axis passing...

    Text Solution

    |

  10. A disc is rolling without slipping with angular velocity omega. P and ...

    Text Solution

    |

  11. A uniform thin rod of mass m and length L is standing vertically along...

    Text Solution

    |

  12. A spinning ballet dancer changes the shape of her body by spreading he...

    Text Solution

    |

  13. A uniform disc of mass M object of mass M is attached to the rim and r...

    Text Solution

    |

  14. A spool with a thread wound on it is placed on a smooth inclined plane...

    Text Solution

    |

  15. A bar of mass M and length L is in pure traslatory motion with its of ...

    Text Solution

    |

  16. A small particle of mass m is given an initial high velocity in the ho...

    Text Solution

    |

  17. A long horizontal rod has a bead which can slide along its length and ...

    Text Solution

    |

  18. Assertion: Two balls of different masses are thrown vertically upward ...

    Text Solution

    |

  19. Assertion: For projection angle tan^(-1)(4), the horizontal range and ...

    Text Solution

    |

  20. Assertion : A coin is placed on phonogram turn table. The motor is sta...

    Text Solution

    |