Home
Class 11
PHYSICS
A block of mass 4 kg slides on a horizon...

A block of mass `4 kg` slides on a horizontal frictionless surface with a speed of `2m//s`. It is brought to rest in compressing a spring in its path. If the force constant of the spring is `400 N//m`, by how much the spring will be compressed

A

`2X10^(-2) m`

B

`0.2 m`

C

`20m`

D

`200m`

Text Solution

Verified by Experts

The correct Answer is:
`(2)`

`K.E` of block is converted into elastic P.E in spring i.e `1/2 mv^(2) = 1/2 kx^(2)`
Promotional Banner

Topper's Solved these Questions

  • WORK , ENERGY & POWER

    NARAYNA|Exercise EXERCISE -1 (H.W)|60 Videos
  • WORK , ENERGY & POWER

    NARAYNA|Exercise EXERCISE -II (C.W)|75 Videos
  • WORK , ENERGY & POWER

    NARAYNA|Exercise (C.U.Q ) COLLISIONS|14 Videos
  • WAVES

    NARAYNA|Exercise Exercise-IV|56 Videos
  • WORK POWER AND ENERGY

    NARAYNA|Exercise Level-VI (Integer)|12 Videos

Similar Questions

Explore conceptually related problems

A body of mass m=3.90 kg slides on a horizontal frictionless table with a speed of v=120 ms^(-1) . It is brought to rest in compressing a spring in its path. How much does spring is compressed, if its force constant k is 135 Nm^(-1) ?

A block of mass 5.7kg slides on a horizontal frictionless table with a constant speed of 1.2ms^(-1) . It is brougth momentarily to rest by compressing a spring in its path. By what maximum distance is the spring compressed ? The spring constant k=1500Nm^(-1).

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 16kg block moving on a frictionless horiozntal surface with a velocity of 5cm^(-1) compreses an ideal spering and comes to rest. If the force constant of the spring be 100Nms^(-1) , then how much is the spring compressed?

A block of mass m is initially moving to the right on a horizontal frictionless surface at a speed v. It then compresses a spring of spring constant k. At the instant when the kinetic energy of the block is equal to the potential energy of the spring, the spring is compressed a distance of :

A 2 kg block slides on a horizontal floor with a speed of 4 m/s. It strikes an uncompressed spring, and compresses it till the block is motionless. The kinetic friction force is 15 N and spring constant is 10000 N/m. The spring is compressed by (in cm):

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

When a spring is compressed by 0.05 m a restoring force of 10 N is developed in it. Then the force constant of the spring is

A block of 200 g mass is dropped from a height of 2 m on to a spring and compress the spring to a distance of 50 cm. The force constant of the spring is

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

NARAYNA-WORK , ENERGY & POWER -EXERCISE - 1 (C.W)
  1. A body of mass 2 kg is thrown up vertically with kinetic energy of 490...

    Text Solution

    |

  2. A body is falling under gravity . When it loses a gravitational potent...

    Text Solution

    |

  3. A block of mass 4 kg slides on a horizontal frictionless surface with ...

    Text Solution

    |

  4. At what height above the ground must a mass of 5 kg be to have its PE ...

    Text Solution

    |

  5. A body of mass 2kg is projected vertically up with velocity 5ms^(-1). ...

    Text Solution

    |

  6. A force F = (2 vec i + vec j + vec k)N is acting on a particle moving ...

    Text Solution

    |

  7. The power of water pump is 4 kW. If g=10 ms^(-2), the amount of water ...

    Text Solution

    |

  8. From a waterfall, water is falling down at the rate of 100kg / s on th...

    Text Solution

    |

  9. A crane can lift up 10,000 kg of coal in 1 hour form a mine of 180 m d...

    Text Solution

    |

  10. A pump is required to lift 600 kg of water per minute from a well 25 m...

    Text Solution

    |

  11. A cable pulls a box with force of 5 kN and raises it at the rate of 2 ...

    Text Solution

    |

  12. An electric motor in a crane while lifting a load produces a tension o...

    Text Solution

    |

  13. An electric motor operates with an efficiency of 90%. A pump operated ...

    Text Solution

    |

  14. A machine gun fires 420 bullets per minute. The velocity of each bulle...

    Text Solution

    |

  15. A 1 kg mass at rest is subjected to an acceleration of 5m//s^(2) and t...

    Text Solution

    |

  16. If the power of the motor of a water pump is 3kW, then the volume of w...

    Text Solution

    |

  17. A body of mass m is tied to one end of a string of length l and revolv...

    Text Solution

    |

  18. A mass m is revolving in a vertical circle at the end of a string of l...

    Text Solution

    |

  19. A body of mass m is rotated in a vertical circle of radius R by means ...

    Text Solution

    |

  20. A body of mass m is rotated in a vertical circle with help of light st...

    Text Solution

    |