Home
Class 11
PHYSICS
The potential energy of a particle of ma...

The potential energy of a particle of mass m is given by `U=(1)/(2)kx^(2)` for `x lt 0` and U = 0 for `x ge 0`. If total mechanical energy of the particle is E. Then its speed at `x = sqrt((2E)/(k))` is

A

zero

B

`sqrt((2E)/(m))`

C

`sqrt((E)/(m))`

D

`sqrt((E)/(2m))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • WORK, POWER AND ENERGY

    DC PANDEY|Exercise B More than One Option is Correct|26 Videos

  • WORK, POWER AND ENERGY

    DC PANDEY|Exercise C Comprehension Type Questions|18 Videos

  • WORK, POWER AND ENERGY

    DC PANDEY|Exercise E Integer Type Questions|11 Videos

  • WORK, ENERGY AND POWER

    DC PANDEY|Exercise MEDICAL ENTRACES GALLERY|33 Videos

Similar Questions

Explore conceptually related problems

The potential energy of a particle of mass m is given by U=1/2kx^(2) for x lt0and U=0 for x ge0. If total mechanical energy of the particle is E, is speed at x=sqrt((2E)/(k)) is

The potential energy of a particle (U_(x)) executing SHM is given by

The potential energy of a particle is given by formula U=100-5x + 100x^(2), where U and are .

The potential energy of a particle of mass 1 kg moving along x-axis given by U(x)=[(x^(2))/(2)-x]J . If total mechanical speed (in m/s):-

The potential energy of a particle of mass 1 kg free to move along x-axis is given by U(x) =(x^(2)/2-x) joule. If total mechanical energy of the particle is 2J then find the maximum speed of the particle. (Assuming only conservative force acts on particle)

The potential energy of 1kg particle free to move along x-axis is given by U(x)=[x^4/4-x^2/2]J. The total mechanical energy of the particle is 2J. The maximum speed of the particle is

The potential energy of a particle of mass 2 kg in SHM is (9x^(2)) J. Here x is the displacement from mean position . If total mechanical energy of the particle is 36 J. The maximum speed of the particle is

The potential energy of a particle of mass m free to move along the x-axis is given by U=(1//2)kx^2 for xlt0 and U=0 for xge0 (x denotes the x-coordinate of the particle and k is a positive constant). If the total mechanical energy of the particle is E, then its speed at x=-sqrt(2E//k) is

The potential energy of a 2 kg particle free to move along the x- axis is given by V(x)[(x^(4))/(4)-(x^(2))/(2)]jou l e The total mechanical energy of the particle is 0.75 J . The maximum speed of the particle ( in m//s) is :

DC PANDEY-WORK, POWER AND ENERGY-A Only One Option is Correct
  1. Two block of masses m(1) and m(2) connected by a light spring rest on ...

    Text Solution

    |

  2. A block of mass m is attached with a massless spring of force constant...

    Text Solution

    |

  3. The potential energy of a particle of mass m is given by U=(1)/(2)kx^(...

    Text Solution

    |

  4. A body of mass 2 kg is moved from a point A to a point B by an externa...

    Text Solution

    |

  5. A block of mass m = 0.1 kg is released from a height of 4m on a curved...

    Text Solution

    |

  6. A system consists of two cubes of mass m(1), and m(2) respectively con...

    Text Solution

    |

  7. A block mass m = 2 kg is moving with velocityv(0) towards a mass less ...

    Text Solution

    |

  8. In a projectile motion, if we plot a graph between power of the force ...

    Text Solution

    |

  9. Potential energy of a particle moving along x-axis under the action of...

    Text Solution

    |

  10. Acceleration of a particle moving in x-y plane varies with time t as. ...

    Text Solution

    |

  11. A small mass slides down an inclined plane of inclination theta with t...

    Text Solution

    |

  12. Figure, a block slides along a track from one level to a higher level ...

    Text Solution

    |

  13. In the figure the variation of compenents of acceleration of a particl...

    Text Solution

    |

  14. A block attached to a spring, pulled by a constant horizontal force, i...

    Text Solution

    |

  15. A man is supplying a constant power of 500(J)/(s) to a massless string...

    Text Solution

    |

  16. In the figure shown all the surfaces are frictionless and mass of bloc...

    Text Solution

    |

  17. As shown in the figure a block of mass 'm' is placed on a smooth wedge...

    Text Solution

    |

  18. A body is moving up an inclined plane of angle theta with an anitial k...

    Text Solution

    |

  19. Three components of a force acting on a particle are varying according...

    Text Solution

    |

  20. A floor-mat of mass M made up of extensible material, is rolled along ...

    Text Solution

    |