Home
Class 12
PHYSICS
Two blocks A and B each of mass m are co...

Two blocks A and B each of mass m are connected by a light spring of natural length L and spring constant k. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length, as shown. A third identical block C, also of mass m, moves on the floor with a speed v along the line joining A to B and collides with A. Collision is elastic and head on. Then -

A

the kinetic energy of the A-B system at maximum compression of the spring is zero

B

the kinetic energy of the A-B system at maximum compression of the spring is `((mv^(2))/4)`

C

the maximum compression of the spring is `(vsqrt(m/k))`

D

the maximum compression of the spring is `(vsqrt(m/(2k))`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS

    MOTION|Exercise Exercise - 3 Level-I|34 Videos

  • CENTRE OF MASS

    MOTION|Exercise Exercise - 3 Level-II|16 Videos

  • CENTRE OF MASS

    MOTION|Exercise Exercise - 2 (Level-I)|40 Videos

  • Capacitance

    MOTION|Exercise EXERCISE -4 LEVEL II|19 Videos

  • CIRCULAR MOTION

    MOTION|Exercise EXERCISE - 4|16 Videos

Similar Questions

Explore conceptually related problems

Two blocks A and B, each of mass m, are connected by a masslesss spring of natural length L and spring constant K. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length, as shown in fig. A third identical block C, also of mass m, moves on the floor with a speed v along the line joining A and B, and collides elastically with A. Then

Two blocks A and H . each of mass m , are connected by a massless spring of natural length I . and spring constant K . The blocks are initially resting in a smooth horizontal floor with the spring at its natural length, as shown in Fig. A third identical block C , also of mass m , moves on the floor with a speed v along the line joining A and B . and collides elastically with A . Then

Two blocks A and B each of mass m are connected by a massless spring of natural length L and spring constant k. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length. A third identical block C also of mass m moves on the floor with a speed v along the line joining A and B and collides with A. Then The kinetic energy of the A-B system at maximum compression of the spring is mv^(2)//4 The maximum compression of the spring vsqrt(m//3k) The kinetic energy of the A-B system at maximum compression The maximum coppression of the spring is vsqrt(m//k)

Two blocks A and B of masses m and 2m are connected by a massless spring of natural length L and spring constant k . The blocks are intially resting on a smooth horizontal floor with the spring at its natural length , as shown . A third identical block C of mass m moves on the floor with a speed v_(0) along the line joining A and B and collides elastically with A . FInd (a) the velocity of c.m. of system (block A + B + spri ng) and (b) the minimum compression of spring.

Two identical blocks A and B , each of mass m resting on smooth floor are connected by a light spring of natural length L and spring constant k , with the spring at its natural length. A third identical block C (mass m ) moving with a speed v along the line joining A and B collides with A . The maximum compression in the spring is

Two identical blocks A and B each of mass m resting on the smooth horizontal floor are connected by a light spring of natural length L and spring constant K. A third block Cof mass m moving with a speed v along the line joining A and B collides with A. The maximum compression in the spring is

Two blocks A and B of mass m and 2m respectively are connected by a light spring of force constant k. They are placed on a smooth horizontal surface. Spring is stretched by a length x and then released. Find the relative velocity of the blocks when the spring comes to its natural length

Two blocks A and B of the same mass are connected to a light spring and placed on a smooth horizontal surface B is given velocity v_(0) (as shown in the figure) when the spring is in natural length. In the subsequent motion.

Blocks A&B of mass m each are connected with spring of constant k both blocks lie on frictionless ground and are imparted horizontal velocity v as shown when spring is unstretched find the maximum stretch of spring.

MOTION-CENTRE OF MASS-Exercise - 2 (Level-II)
  1. A particle of mass m moving horizontal with v(0) strikes a smooth wedg...

    Text Solution

    |

  2. A particle of mass m moving horizontal with v(0) strikes a smooth wedg...

    Text Solution

    |

  3. A particle of mass m moving horizontal with v(0) strikes a smooth wedg...

    Text Solution

    |

  4. A particle of mass m moving horizontal with v(0) strikes a smooth wedg...

    Text Solution

    |

  5. A particle of mass m moving horizontal with v(0) strikes a smooth wedg...

    Text Solution

    |

  6. Two identical balls are interconnected with a massless and inextensibl...

    Text Solution

    |

  7. Two blocks A (5kg) and B(2kg) attached to the ends of a spring constan...

    Text Solution

    |

  8. Figure shows three identical blocks 1,2 & 3 each of mass m kept on fri...

    Text Solution

    |

  9. Two blocks A and B each of mass m are connected by a light spring of n...

    Text Solution

    |

  10. Two blocks of mass m(1) and m(2), resting on a frictionless table, are...

    Text Solution

    |

  11. For a two body system in absence of external forces, the kinetic ener...

    Text Solution

    |

  12. Two ball A and B having masses 1kg and 2kg, moving with speeds 21m//s ...

    Text Solution

    |

  13. A bullet of mass m travelling horizontally with speed u strikes a wood...

    Text Solution

    |

  14. In a one dimensional collision between two identical particles A and B...

    Text Solution

    |

  15. Two identical spheres A and B are free to move and I, rotate about the...

    Text Solution

    |

  16. A variable force acts on a body of mass m (initially at rest) from t =...

    Text Solution

    |

  17. A thin uniform rod of mass m and length l is free to rotate about its ...

    Text Solution

    |

  18. A ball moving with a velocity v hits a massive wall moving towards the...

    Text Solution

    |

  19. A particle moving with kinetic energy=3 J makes an elastic head-on col...

    Text Solution

    |

  20. In an inelastic collision,

    Text Solution

    |