Home
Class 12
PHYSICS
A particle which is constant to move alo...

A particle which is constant to move along the `x- axis` , is subjected to a force in the same direction which varies with the distance `x` of the particle from the origin as `F(x) = -Kx + ax^(3)` . Hero `K` and `a` are positive constant . For `x ge 0`, the fanctional from of the patential every `U(x) of the particle is

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • WORK, POWER, AND ENERGY

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (More than one choice correct type)|10 Videos

  • WORK, POWER, AND ENERGY

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Linked Comprehension)|9 Videos

  • WORK, POWER, AND ENERGY

    RESNICK AND HALLIDAY|Exercise PROBLEMS|58 Videos

  • WAVES-I

    RESNICK AND HALLIDAY|Exercise Practice Questions (Integer Type)|4 Videos

Similar Questions

Explore conceptually related problems

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) .

A particle, which is constrained to move along the x-axis, is subjected to a force from the origin as F(x) = -kx + ax^(3) . Here k and a are origin as F(x) = -kx + ax^(3) . Here k and a are positive constants. For x=0 , the functional form of the potential energy U(x) of particle is.

The kinetic energy of a particle moving along x-axis varies with the distance x of the particle from origin as K=(A+x^3)/(Bx^(1//4)+C) .Write the dimensional formula for A^2B

A force F=-k/x_2(x!=0) acts on a particle in x-direction. Find the work done by this force in displacing the particle from. x = + a to x = 2a . Here, k is a positive constant.

A particle moving along the x- axis is subjected to a force given by F=F_(0)(e^(x//a)-1) where F_(0) and are constants Determine an expression for the work done by this force as the particle moves from the origin to the point x=r

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 constrained to move along the x-axis in a potential V=k"x"^(2) is subjected to an external time dependent force vec(f)(t) here k is a constant, x the distance from the origin, and t the time. At some time T, when the particle has zero velocity at x = 0, the external force is removed. Choose the incorrect options – (1) Particle executes SHM (2) Particle moves along +x direction (3) Particle moves along – x direction (4) Particle remains at rest

RESNICK AND HALLIDAY-WORK, POWER, AND ENERGY-PRACTICE QUESTIONS (Single Correct Choice Type)
  1. A skier slides horizontally along the snow for a distance of 21 m befo...

    Text Solution

    |

  2. An automobile approaches a barrier at a speed of 20 m/s along a level ...

    Text Solution

    |

  3. A 1900-kg car experiences a combined force of air resistance and frict...

    Text Solution

    |

  4. A block m is kept stationary on the surface of an accelerating cage as...

    Text Solution

    |

  5. A racing car with a mass of 500.0 kg starts is from rest and completes...

    Text Solution

    |

  6. A tennis ball dropped on a barizoontal smooth surface , it because bac...

    Text Solution

    |

  7. A 1.00xx10^(2) kg crate is being pushed across a horizontal floor by a...

    Text Solution

    |

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

    Text Solution

    |

  9. A 1500-kg elevator moves upward with constant speed through a vertica...

    Text Solution

    |

  10. Two balls of equal size are dropped from the same height from the roof...

    Text Solution

    |

  11. A woman stands on the edge of a cliff and throws a stone vertically do...

    Text Solution

    |

  12. A stone rolls off the roof of a School hall and falls vartically. Just...

    Text Solution

    |

  13. A skier leaves the top of a slope with an initial speed of 5.0 m/s. He...

    Text Solution

    |

  14. A 55.0-kg skateboarder starts out with a speed of 1.80 m/s. He does +8...

    Text Solution

    |

  15. A particle which is constant to move along the x- axis , is subjected ...

    Text Solution

    |

  16. A bullet fired into a fixed target loses half of its velocity after pe...

    Text Solution

    |

  17. A particle of mass m is moving in a horizontal circle of radius r, und...

    Text Solution

    |

  18. The potential energy function for a diatomic molecule is U(x) =(a)/(x^...

    Text Solution

    |

  19. A block is dropped from a high tower and is falling freely under the i...

    Text Solution

    |

  20. If the potential energy of a gas molecule is U=(M)/(r^(6))-(N)/(r^(12)...

    Text Solution

    |