Home
Class 11
PHYSICS
The potential energy for a conservative ...

The potential energy for a conservative force system is given by `U=ax^(2)-bx`. Where a and b are constants find out (a) The expression of force (b) Potential energy at equilibrium.

Text Solution

AI Generated Solution

To solve the problem step by step, we will find the expression for the force and then determine the potential energy at equilibrium. ### Step 1: Find the expression for force The potential energy \( U \) is given by the equation: \[ U = ax^2 - bx \] where \( a \) and \( b \) are constants. ...
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    DC PANDEY ENGLISH|Exercise CHECK POINT 6.1|20 Videos
  • WORK, ENERGY AND POWER

    DC PANDEY ENGLISH|Exercise CHECK POINT 6.2|20 Videos
  • WORK, ENERGY & POWER

    DC PANDEY ENGLISH|Exercise Level 2 Comprehension Based|2 Videos
  • WORK, POWER AND ENERGY

    DC PANDEY ENGLISH|Exercise E Integer Type Questions|11 Videos

Similar Questions

Explore conceptually related problems

The potential energy of a conservative force field is given by U=ax^(2)-bx where, a and b are positive constants. Find the equilibrium position and discuss whether the equilibrium is stable, unstable or neutral.

The potential energy of a particle under a conservative force is given by U ( x) = ( x^(2) -3x) J. The equilibrium position of the particle is at

The potential energy between two atoms in a molecule is given by U=ax^(2)-bx^(2) where a and b are positive constants and x is the distance between the atoms. The atom is in stable equilibrium when x is equal to :-

The potential energy of a particle in a conservative field is U =a/r^3-b/r^2, where a and b are positive constants and r is the distance of particle from the centre of field. For equilibrium, the value of r is

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

The potential energy between two atoms in a molecule is given by U(x)= (a)/(x^(12))-(b)/(x^(6)) , where a and b are positive constants and x is the distance between the atoms. The atom is in stable equilibrium when

The potential energy function of a particle is given by U(r)=A/(2r^(2))-B/(3r) , where A and B are constant and r is the radial distance from the centre of the force. Choose the correct option (s)

The potential energy of a two particle system separated by a distance r is given by U(r ) =A/r where A is a constant. Find to the radial force F_(r) , that each particle exerts on the other.

The potential energy of a particle in a force field is: U = (A)/(r^(2)) - (B)/(r ) ,. Where A and B are positive constants and r is the distance of particle from the centre of the field. For stable equilibrium the distance of the particle is

The potential energy of a body is given by U = A - Bx^(2) (where x is the displacement). The magnitude of force acting on the partical is

DC PANDEY ENGLISH-WORK, ENERGY AND POWER-MEDICAL ENTRACES GALLERY
  1. The potential energy for a conservative force system is given by U=ax^...

    Text Solution

    |

  2. A body of mass 1 kg begins to move under the action of a time depende...

    Text Solution

    |

  3. A particle of mass 10 g moves along a circle of radius 6.4 cm with a c...

    Text Solution

    |

  4. A block of mass 10 kg, moving in x-direction with a constant speed of ...

    Text Solution

    |

  5. A particle of mass m is driven by a machine that delivers a constant p...

    Text Solution

    |

  6. A block of ,mass m =11.7 kg is to be pushed a distance of s=4.65 m. A...

    Text Solution

    |

  7. A force F=(10+0.50x) acts on a particle in the x direction, where F is...

    Text Solution

    |

  8. An elevator weighing 500 kg is to be lifted up at a constant velocity ...

    Text Solution

    |

  9. The distance of closest approach of an alpha-particle fired at nucleus...

    Text Solution

    |

  10. Two bodies of different masses are moving with same kinetic energy. Th...

    Text Solution

    |

  11. Two bodies of masses 1 kg and 2 kg moving with same velocities are sto...

    Text Solution

    |

  12. One moving electron when comes closer to other stationary electron, th...

    Text Solution

    |

  13. A body of mass m, accelerates uniformly from rest to V(1) in time t(1)...

    Text Solution

    |

  14. A uniform chain of length l is placed on a smooth horizontal table, su...

    Text Solution

    |

  15. The kinetic energy of a body of mass 4 kg and momentum 6 N-s will be

    Text Solution

    |

  16. A body of mass m=3.90 kg slides on a horizontal frictionless table wit...

    Text Solution

    |

  17. A string of length L and force constant k is stretched to obtain exten...

    Text Solution

    |

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

    Text Solution

    |

  19. If two person A and B take 2 s and 4 s, respectively to lift an object...

    Text Solution

    |

  20. If , a machine gun fires n bullets per second each with kinetic energy...

    Text Solution

    |

  21. A uniform force of (3hati+hatj) N acts on a particle of mass 2kg. Henc...

    Text Solution

    |