Home
Class 11
PHYSICS
The potential energy of a body mass m is...

The potential energy of a body mass m is `U=ax+by` the magnitude of acceleration of the body will be-

A

`(a^(2) + b^(2))^(1/2)/m`

B

`a^(2) + b^(2)/m`

C

`(a+ b)^(1/2)`/m`

D

`a + b/m`

Text Solution

Verified by Experts

The correct Answer is:
`(1)`

`m vec a = - ("partial"U)/dx hati - ("partial"U)/(dy) hat j`
Promotional Banner

Topper's Solved these Questions

  • WORK , ENERGY & POWER

    NARAYNA|Exercise EXERCISE -II (H.W)|75 Videos
  • WORK , ENERGY & POWER

    NARAYNA|Exercise EXERCISE -III|54 Videos
  • WORK , ENERGY & POWER

    NARAYNA|Exercise EXERCISE -1 (H.W)|60 Videos
  • WAVES

    NARAYNA|Exercise Exercise-IV|56 Videos
  • WORK POWER AND ENERGY

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

Similar Questions

Explore conceptually related problems

The potential energy of body of mass m given by U=px+qy+rz . The magnitude of the acceleration of the body will be

" The potential energy of a body of mass "m" on the surface of earth is "

The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body is

The potential energy of an object of mass m moving in xy plane in a conservative field is given by U = ax + by , where x and y are position coordinates of the object. Find magnitude of its acceleration :-

Potential energy of a body is zero when that body is at ……. With respect to another body.

Two forces of equal magnitude F act on two isolated bodies P and Q as shown in the figure. The mass of body Q is three times that of body P. The magnitude of the acceleration of P is

The gravitational potential energy at a body of mass m at a distance r from the centre of the earth is U. What is the weight of the body at this distance ?

What will be gain in potential energy of a body of mass m at a height equal to three times the radius 'R' of the earth ?

What is the gravitational potential energy of a body of mass m at a height h ?

Consider the following statements for a simple harmonic motion: 1. The magnitude of the velocity of the body is proportional to its displacement from the mean position. 2. The magnitude of the acceleration of the body is proportional to its displacement from the mean position. 3. The sum of the kinetic energy and potential energy of the body is always constant. Which of the statements given above is/are correct?

NARAYNA-WORK , ENERGY & POWER -EXERCISE -II (C.W)
  1. The kinetic energy (KE) versus time graph for a particle moving along ...

    Text Solution

    |

  2. A uniform chain of length 2 m is kept on a table such that a length of...

    Text Solution

    |

  3. The potential energy of a body mass m is U=ax+by the magnitude of acce...

    Text Solution

    |

  4. A block of mass M is hanging over a smooth and light pulley through a ...

    Text Solution

    |

  5. The kinetic energy K of a particle moving along x - axis varies its po...

    Text Solution

    |

  6. Figure given below shows the plot of the conservative force F, in a un...

    Text Solution

    |

  7. Match the following {: ( "Column I", " Column II"),(" (A) Example o...

    Text Solution

    |

  8. A massless spring with a force constant K = 40N//m hangs vertically fr...

    Text Solution

    |

  9. A block of mass m moving at a speed v compresses as spring thrugh a di...

    Text Solution

    |

  10. A bead of mass 1/2 kg starts from rest from A to move in a vertical pl...

    Text Solution

    |

  11. An outfielder throws a cricket ball with an initial kinetic energy of ...

    Text Solution

    |

  12. Velocity-time graph of a particle of mass (2 kg) moving in a straight ...

    Text Solution

    |

  13. A block of mass 1 kg slides down a vertical curved track that is one q...

    Text Solution

    |

  14. A force F = Ay^(2)+By+C acts on a body at rest in the Y-direction. The...

    Text Solution

    |

  15. A block of mass m=1kg moving on a horizontal surface with speed v(i)=2...

    Text Solution

    |

  16. In the fig. The potential energy U of a particle plotted against its p...

    Text Solution

    |

  17. If F = 2x^(2) - 3x -2, then choose correct option:-

    Text Solution

    |

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

    Text Solution

    |

  19. A particle located in one dimensional potential field has potential en...

    Text Solution

    |

  20. A block of mass 30.0 kg is being brought down by a chain. If the block...

    Text Solution

    |