Home
Class 11
PHYSICS
A particle is placed at the origin and a...

A particle is placed at the origin and a force F=Kx is acting on it (where k is a positive constant). If `U_((0))=0`, the graph of `U (x)` verses x will be (where U is the potential energy function.)

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
A

`F=kx`
`U=-int_(0)^(x)Fdx=-int_(0)^(x)kxdx=-(1)/(2)kx^2`
U v/s x graph will be a parabola, open downward
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

On a particle placed at origin a variable force F=-ax (where a is a positive constant) is applied. If U(0)=0, the graph between potential energy of particle U(x) and x is best represented by:-

A particle of mass m is executing osciallations about the origin on the x-axis with amplitude A. its potential energy is given as U(x)=alphax^(4) , where alpha is a positive constant. The x-coordinate of mass where potential energy is one-third the kinetic energy of particle is

A particle free to move along x-axis is acted upon by a force F=-ax+bx^(2) whrte a and b are positive constants. For ximplies0 , the correct variation of potential energy function U(x) is best represented by.

A particle, which is constrained to move along x-axis, is subjected to a force in the some direction which varies with thedistance x of the particle from the origin an F (x) =-kx + ax^(3) . Here, k and a are positive constants. For x(ge0, the functional form of the potential energy (u) U of the U (x) the porticle is. (a) , (b) , (c) , (d) .

The potential energy U for a force field vec (F) is such that U=- kxy where K is a constant . Then

The potential energy of configuration changes in x and y directions as U=kxy , where k is a positive constant. Find the force acting on the particle of the system as the function of x and y.

CP SINGH-WORK, ENERGY AND POWER-EXERCISES
  1. In a factory it is desired to lift 746 kg of metal through a distance ...

    Text Solution

    |

  2. The power of a water pump is 2 kW. If g = 10 m//s^2, the amount of wat...

    Text Solution

    |

  3. A body of mass m , accelerates uniform from rest to v(1) in time t(1) ...

    Text Solution

    |

  4. A body of mass m is acceleratad uniformaly from rest to a speed v in a...

    Text Solution

    |

  5. A body is initially at rest. It undergoes one-dimensional motion with ...

    Text Solution

    |

  6. A car of mass 1250 kg is moving at 30(m)//(s). Its engine delivers 30 ...

    Text Solution

    |

  7. A car of mass m is driven with acceleration a along a straight level r...

    Text Solution

    |

  8. Water falling from a 50m high fall is to be used for generating electr...

    Text Solution

    |

  9. An unruly demonstrator lift a stone of mass m kg from the ground and t...

    Text Solution

    |

  10. A particle of mass m is thrown with speed u at an angle of projection ...

    Text Solution

    |

  11. A particle of mass m is given a velocity u on a rough horizontal surfa...

    Text Solution

    |

  12. A block of mas 2.0 kg is pulled up on a smooth incline of angle 30^0 w...

    Text Solution

    |

  13. A block of mas 2.0 kg is pulled up on a smooth incline of angle 30^0 w...

    Text Solution

    |

  14. A car drives along a straight level frictionless road by an engine del...

    Text Solution

    |

  15. A body is moved along a straight line by a machine delivering constant...

    Text Solution

    |

  16. The potential energy of a particle in a force field is: U = (A)/(r^(...

    Text Solution

    |

  17. The potential energy function for the force between two atoms in a dia...

    Text Solution

    |

  18. The potential energy of a 1 kg particle free to move along the x- axis...

    Text Solution

    |

  19. A particle is placed at the origin and a force F=Kx is acting on it (w...

    Text Solution

    |

  20. The force acting on a body moving along x-axis varitian of the particl...

    Text Solution

    |