Home
Class 11
PHYSICS
Two equal masses are attached to the tw...

Two equal masses are attached to the two ends of a spring of spring constant k. The masses are pulled out symmetricaly tostretch the spring by a length x over its natural length. The work doen by the spring oneach mass is

A

`(1)/(2)kx^2`

B

`-(1)/(2)kx^2`

C

`(1)/(4)kx^2`

D

`-(1)/(4)kx^2`

Text Solution

Verified by Experts

The correct Answer is:
D

`triangleU=(1)/(2)kx^2`
Work done by spring on each mass `=-(1)/(4)kx^2`
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    CP SINGH|Exercise EXERCISES|92 Videos
  • VECTORS

    CP SINGH|Exercise Excercises|66 Videos

Similar Questions

Explore conceptually related problems

Two equal masses are attached to the two ends of a spring of spring constant k. The masses are pulled out symmetrically to stretch the spring by a length x over its natural length. The work done by the spring on each mass is

Two equal masses are attached to the two ends of a spring of spring constant k . The masses are pulled a part symmetrically to stretch the spring by a length x over its natural length. The work done by the spring on each mass is.

Two equal masses are attached to the two end of a spring of force constant k the masses are pulled out symmetrically to stretch the spring by a length 2x_(0) over its natural length. Find the work done by the spring on each mass.

An object of mass m, oscillating on the end of a spring with spring constant k has amplitude A. its maximum speed is

A load of mass M is attached to the bottom of a spring of mass 'M //3' and spring constant 'K'. If the system is set into oscillation, the time period of oscillation is

A plane mirror having a mass m is tied to the free end of a mass less spring of spring constant k. The other end of the spring is attached to a wall. The spring with the mirror held vertically to the floor on which it can slide smoothly. When the spring is at its natural length, the mirror is found to be moving at a speed of v cm/s. The separation between the images of a man standing before the mirror, when the mirror is in its extreme positions:

When a 20 g mass hangs attached to one end of a light spring of length 10 cm, the spring stretches by 2 cm. The mass is pulled down until the total length of the spring is 14 cm. The elastic energy, (in Joule) stored in the spring is :

CP SINGH-WORK, ENERGY AND POWER-EXERCISES
  1. A spring of force constant 800N//m has an extension of 5cm. The work d...

    Text Solution

    |

  2. A spring 40 mm long is stretched by the application of a force. If 10 ...

    Text Solution

    |

  3. Two equal masses are attached to the two ends of a spring of spring c...

    Text Solution

    |

  4. A stone projected vertically upwards from the ground reaches a maximum...

    Text Solution

    |

  5. Two identical balls are projected, one vertically up and the other at ...

    Text Solution

    |

  6. A heavy stone is thrown from a cliff of height h with a speed v. The s...

    Text Solution

    |

  7. The block is given an initial velcoty v0 on smooth curved surface, Its...

    Text Solution

    |

  8. A spherical ball of mass 20kg is stationary at the top of a hill of he...

    Text Solution

    |

  9. A projectile is fired from the top of an 80 m high cliff with an initi...

    Text Solution

    |

  10. Three different objects of masses m(1) , m(2) and m(2) are allowed to ...

    Text Solution

    |

  11. The figure shown a particle sliding on a frictionless track, which tem...

    Text Solution

    |

  12. A simple pendulum of length 1m has bob of mass 100 g. It is displaced ...

    Text Solution

    |

  13. A mass of 0.5 kg moving with a speed of 1.5 m//s on a horizontal smoot...

    Text Solution

    |

  14. A block of mass m is attached to two unstretched springs of spring con...

    Text Solution

    |

  15. The figure shows a smooth curved track terminating in a smooth horizon...

    Text Solution

    |

  16. one end of a spring of natural length ha and spring constant k is fixe...

    Text Solution

    |

  17. In figure, the stiffness of the spring is k and mass of the block is m...

    Text Solution

    |

  18. A vertical spring with force constant k is fixed on a table. A ball of...

    Text Solution

    |

  19. A block of mass M is hanging over a smooth and light pulley by a const...

    Text Solution

    |

  20. A small block of mass m is kept on a rough inclined surface of inclina...

    Text Solution

    |