Home
Class 11
PHYSICS
If x,F and U denote the dispalcement, fo...

If `x,F` and `U` denote the dispalcement, force acting on and potential energy of a particle then

A

`U = F`

B

`F = + (dU)/(dx)`

C

`F = -(dU)/(dx)`

D

`F = (1)/(x)((dU)/(dx))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • WORK POWER AND ENERGY

    NARAYNA|Exercise Level- I (C.W)|60 Videos

  • WORK POWER AND ENERGY

    NARAYNA|Exercise Level- II (C.W)|68 Videos

  • WORK POWER AND ENERGY

    NARAYNA|Exercise Level-VI (Integer)|12 Videos

  • WORK , ENERGY & POWER

    NARAYNA|Exercise EXERCISE IV|43 Videos

Similar Questions

Explore conceptually related problems

If x, F and U denote the displacement force acting on and potential energy of a particle:

A particle is executing SHM with amplitude A. At displacement x=(-A/4) , force acting on the particle is F, potential energy of the particle is U, velocity of particle is v and kinetic energy is K. Assuming potential energyh to be zero at mean position. At displacement x=A/2

A particle is executing SHM. At a displacement y_(1) its potential energy is U_(1) and at a displacement y_(2) its potential energy is U_(2) . The potential energy of the particle at displacement (y_(1)+y_(2)) is

A particle of mass 1 kg is moving X-axis. Its velocity is 6 m//s at x = 0 . Acceleration-displacement curve and potential energy-dispalcement curve of the particle are shown : .

Force acting on a particle is F=-8x in S.H.M. The amplitude of oscillation is 2 (in m) and mass of the particle is 0.5 kg. The total mechanical energy of the particle is 20 J. Find the potential energy of the particle in mean position (in J).

A particle of unit mass is moving along the x-axis under the influence of a force and its total energy is conserved. Four possible forms of the potential energy of the particle are given in column-I (a and U0 are constants). Match the potential energies in column-I to the corresponding statement(s) in column-II. {:((A),U_1(x)= (U_0)/(2)[1-(x/a)^(2)]^(2),(P),"the force acting on the particle is zero at x = a."),((B),U_2(x)= (U_0)/(2)(x/a)^(2),(Q),"the force acting on the particle is zero at x = 0."),((C),U_2(x)= (U_0)/(2)(x/a)^(2)exp[-(x/a)],(R),"the force acting on the particle is zero at x = 0."),((D),U_4(x)= (U_0)/(2)[x/a - 1/3 (x/a)^3],(S),"The particle experiences an attractive force towards x = 0 in the region | x | < a"),(,,(T),"The particle with total energy" (U_0)/4 " can oscillate about the point"x = -a.):}

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

The force acting on a 4gm mass in the potential field U= 8x^2 at x= -2 cm is :

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.

NARAYNA-WORK POWER AND ENERGY-C.U.Q-Key
  1. Which of the following forces is called a conservative force ?

    Text Solution

    |

  2. Identify the non-conservative force in the following

    Text Solution

    |

  3. If x,F and U denote the dispalcement, force acting on and potential en...

    Text Solution

    |

  4. In the case of conservative force

    Text Solution

    |

  5. The change in kinetic energy per unit 'space' (distance) is equal to

    Text Solution

    |

  6. When the momentum of a body a doubled, the kinetic energy is

    Text Solution

    |

  7. For the same kinetic energy, the momentum shall be maximum for which o...

    Text Solution

    |

  8. If the momentum of a particle is plotted on X-axis and its kinetic ene...

    Text Solution

    |

  9. When two identical balls are moving with equal speed in opposite direc...

    Text Solution

    |

  10. The product of linear momentum and velocity of a blood represents.

    Text Solution

    |

  11. The KE of a freely falling body

    Text Solution

    |

  12. Consider the following two statements: A. Linear momentum of a syste...

    Text Solution

    |

  13. Internal forces can change

    Text Solution

    |

  14. If the force acting on a body is inversely proportional to its speed, ...

    Text Solution

    |

  15. Which of the following graphs depicts the variation of KE of a ball bo...

    Text Solution

    |

  16. Which of the following statements is correct?

    Text Solution

    |

  17. Two bodies of unequal masses have same linear momentum. Which one has ...

    Text Solution

    |

  18. Two bodies of masses m(1) and m(2) have equal KE. Their momenta is in...

    Text Solution

    |

  19. A body can have

    Text Solution

    |

  20. A rock of mass m is dropped to the ground from a height h. A second ro...

    Text Solution

    |