Home
Class 11
PHYSICS
The block of mass M moving on the frict...

The block of mass `M` moving on the frictionless horizontal surface collides with the spring constant `k` and compresses it by length `L` . The maximum momention of the block after collision is

A

`sqrtMk L`

B

`(kL^(2))/(2M)`

C

zero

D

`(ML^(2))/(k)`

Text Solution

Verified by Experts

The correct Answer is:
A

Let maximum momentum be p then
`(p^(2))/(2M) = (1)/(2) kL^(2) rArr p = L sqrt(Mk)`
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V B|19 Videos
  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-IV B|14 Videos
  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise EXERCISE-IV ASSERTION & REASON|11 Videos
  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN|Exercise Exercise 5 B (Integer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

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 body of mass 5 kg moving with a speed of 1.5 m/s on a horizontal smooth surface collides with a nearly weightless spring of force constant k = 5 N/m. The maximum compression of the spring would be

A block of mass 2 kg is moving on a frictionless horizontal surface with a velocity of 1m//s towards another block of equal mass kept at rest. The spring constant of the spring fixed at one end is 100 N//m. Find the rnaximum compression of the spring

A block of mass m is moving with a speed v on a horizontal rought surface and collides with a horizontal monted spring of spring constant k as shown in the figure .The coefficient of friction between the block and the floor is mu The maximum cobnpression of the spring is

mass of 0.5 kg moving with a speed of 1.5 m//s on a horizontal smooth surface, collides with a nearly weightless spring of force constant k = 50 N/m. The maximum compression of the spring would be

A block of mass m moving at a speed v_0 compresses a spring of spring constant k as shown in the figure. Find (a) the maximum compression of spring and (b) speed of the block when the spring is compressed to half of maximum compression.

A 16kg block moving on a frictionless horizontal surface with a velocity of 4m//s compresses an ideal spring and comes to rest. If the force constant of the spring be 100N//m , then how much is the spring commpressed ?

A mass of 0.5 kg moving with a speed of 1.5 m//s on a horizontal smooth surface, collides with a nearly weightless spring of force constant k =50 N//m The maximum compression of the spring would be.

ALLEN-CENTRE OF MASS-EXERCISE-V A
  1. Two identical particles move towards each other with velocity 2v and v...

    Text Solution

    |

  2. Consider the following two statements: A. Linear momentum of a syste...

    Text Solution

    |

  3. Two spherical bodies of mass M and 5M & radii R & 2R respectively are ...

    Text Solution

    |

  4. A body A of mass M while falling wertically downwards under gravity br...

    Text Solution

    |

  5. The block of mass M moving on the frictionless horizontal surface col...

    Text Solution

    |

  6. A mass 'm' moves with a velocity 'v' and collides inelastieally with a...

    Text Solution

    |

  7. A 'T' shaped object with dimensions shown in the figure, is lying on a...

    Text Solution

    |

  8. A bomb of mass 16kg at rest explodes into two pieces of masses 4 kg an...

    Text Solution

    |

  9. Consider a two particle system with particles having masses m1 and m2 ...

    Text Solution

    |

  10. A circular disc of radius R is removed from a bigger circular disc of ...

    Text Solution

    |

  11. A block of mass 0.50kg is moving with a speed of 2.00m//s on a smooth ...

    Text Solution

    |

  12. A thin rod of length 6 m is lying along the x-axis with its ends at x ...

    Text Solution

    |

  13. Consider a rubber ball freely falling from a height h = 4.9 m onto a ...

    Text Solution

    |

  14. Statement -1: Two particles moving in the same direction do not lose a...

    Text Solution

    |

  15. This question has statement I and statement II. Of the four choices gi...

    Text Solution

    |

  16. Distance of the centre of mass of a solid uniform cone from its vertex...

    Text Solution

    |

  17. A particle of mass m moving in the x direction with speed 2v is hit by...

    Text Solution

    |

  18. A uniform thin rod AB of length L has linear mass density mu(x) = a + ...

    Text Solution

    |

  19. A large number (n) of identical beads, each of mass m and radius r are...

    Text Solution

    |

  20. In the figure shown ABC is a uniform wire. If centre of mass of wire l...

    Text Solution

    |