Home
Class 11
PHYSICS
The potential energy of a spring when st...

The potential energy of a spring when stretched through a distance x is 10J. What is the amount of work done on the same spring to stretch it through on additional distance x?

Text Solution

Verified by Experts

`U=(1)/(2)kx^(2)=10J`
When x becomes 2x, the P.E will be,
`U'=(1)/(2)k(2x)^(2)=4((1)/(2)kx^(2))`
`=4xx10=40J`
`therefore` Work done = `U'-U`
`=40-10=30J`
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    PREMIERS PUBLISHERS|Exercise CONCEPTUAL QUESTIONS|34 Videos
  • WORK, ENERGY AND POWER

    PREMIERS PUBLISHERS|Exercise MULTIPLE CHOICE QUESTIONS (OTHER IMPORTANT QUESTIONS & ANSWERS)|124 Videos
  • WORK, ENERGY AND POWER

    PREMIERS PUBLISHERS|Exercise LONG ANSWER QUESTIONS|38 Videos
  • WAVES

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT & QUESTIONS ANSWERS ( NUMERICAL PROBLEMS. )|48 Videos

Similar Questions

Explore conceptually related problems

The potential energy of a certain spring when streched by a distance x is 20J. The amount of work required to strech it through an additional distance x is:

A force 'F' acts on an object and moves through a distance x. What is the work done by the force to move the object from x=0 to x=6 m ………….

Derive an expression for the potential energy of an elastic stretched spring.

A body of mass m is attached to the spring which is elongated to 25 cm by an applied for from its equilibrium position, (a) Calculate the potential energy stored in the spring-mass system? (b) What is the work done by the spring force in this elongation? (C) Suppose the spring is compressed to the same 25 cm, calculate the potential energy stored and also the work done by the spring force during compression. (The spring constant, k=0.1Nm^(-1)) .

What will be the potential energy of a body of mass 67 kg at a distance of 6.6 xx 10^(10) m from the centre of the earth? Find gravitational potential at the earth? Find gravitational potential at this distance?

The potential energy of a particle executing simple harmonic motion at a distance X from the equilibrium position is proportional to …..

PREMIERS PUBLISHERS-WORK, ENERGY AND POWER -NUMERICAL PROBLEMS
  1. Two springs have their force constants k(1) and k(2) (k(2) gt k(1)) . ...

    Text Solution

    |

  2. Two springs have spring constant k(1)andk(2) (k(1)gtk(2)) on which spr...

    Text Solution

    |

  3. The potential energy of a spring when stretched through a distance x i...

    Text Solution

    |

  4. One coolie takes 1 min to raise a box through a height 2m. Another tak...

    Text Solution

    |

  5. After perfectly inelastic collision between two identical particles mo...

    Text Solution

    |

  6. A gardener pushes a lawn roller through a distance of 20m. If he appli...

    Text Solution

    |

  7. Calculate the work done by a force of 30 N in lifting load of 2g to a ...

    Text Solution

    |

  8. A ball with a velocity of 5 ms^(-1) impinges at angle of 60^(@) with t...

    Text Solution

    |

  9. A bob of mass m is attached to one end of the rod of negligible mass a...

    Text Solution

    |

  10. Two different unknown masses A and B collide. A is initially at rest w...

    Text Solution

    |

  11. A bullet of mass 20 g strikes a pendulum of mass 5kg. The centre of ma...

    Text Solution

    |

  12. When a force vecF=(hati+2hatj+3hatk) is applied to body, it undergoes ...

    Text Solution

    |

  13. A body is displaced 10hatj under the force of -2hati+15hatj+6hatkN. Ca...

    Text Solution

    |

  14. In some demonstration, a police officer fires a bullet of mass 50.0g w...

    Text Solution

    |

  15. A body of mass 5 kg initially at rest is subjected to a force of 20N. ...

    Text Solution

    |

  16. A ball of mass m is pushed down the wall of hemispherical bowl from po...

    Text Solution

    |

  17. A body of mass 0.3 kg is taken up an inclined plane of length 10m and ...

    Text Solution

    |

  18. A body of mass 0.3 kg is tken up an inclined plane of length to m and ...

    Text Solution

    |

  19. A ball of mass 0.1 kg collides elastically with a ball of unknown mass...

    Text Solution

    |

  20. If a particle elastically collides obliquely with a particle of same m...

    Text Solution

    |