Home
Class 12
PHYSICS
The potential energy of an object of mas...

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 :-

A

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

B

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

C

`sqrt(a^(2)+b^(2))`

D

None

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • RACE

    ALLEN|Exercise Basic Maths (CIRCULAR MOTION)|17 Videos
  • RACE

    ALLEN|Exercise Basic Maths (COLLISION AND CENTRE OF MASS )|12 Videos
  • RACE

    ALLEN|Exercise Basic Maths (FRICTION)|14 Videos
  • NEWTONS LAWS OF MOTION

    ALLEN|Exercise EXERCISE-III|28 Videos
  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

The potential energy (U) of a body of unit mass moving in a one-dimension force field is given by U=(x^(2)-4x+3) . All units are in S.L

The potential energy (U) of a body of unit mass moving in a one-dimension foroce field is given by U=(x^(2)-4x+3) . All untis are in S.L

The potential energy U in joule of a particle of mass 1 kg moving in x-y plane obeys the law U = 3x + 4y , where (x,y) are the co-ordinates of the particle in metre. If the particle is at rest at (6,4) at time t = 0 then :

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

The potential energy of a particle of mass 2 kg moving in a plane is given by U = (-6x -8y)J . The position coordinates x and y are measured in meter. If the particle is initially at rest at position (6, 4)m, then

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 of a particle of mass 1 kg moving in X-Y plane is given by U=(12x+5y) joules, where x an y are in meters. If the particle is initially at rest at origin, then select incorrect alternative :-

The potential energy of a particle of mass 5 kg moving in the x-y plane is given by U=(-7x+24y)J , where x and y are given in metre. If the particle starts from rest, from the origin, then the speed of the particle at t=2 s is

The potential energy of a particle of mass 5 kg moving in the x-y plane is given by U=(-7x+24y)J , where x and y are given in metre. If the particle starts from rest, from the origin, then the speed of the particle at t=2 s is

The potential energy of a particle of mass 'm' situated in a unidimensional potential field varies as U(x) = U_0 [1- cos((ax)/2)] , where U_0 and a are positive constant. The time period of small oscillations of the particle about the mean position-

ALLEN-RACE-Basic Maths (WORK POWER & ENERGY)
  1. A man pulls a bucket of water from a depth of h from a well. If the ma...

    Text Solution

    |

  2. The potential energy of a particle of mass 1 kg moving along x-axis ...

    Text Solution

    |

  3. The potential energy of an object of mass m moving in xy plane in a co...

    Text Solution

    |

  4. On a particle placed at origin a variable force F=-ax (where a is a po...

    Text Solution

    |

  5. The variation of potential energy U of a system is shown in figure. Th...

    Text Solution

    |

  6. A particle located in one dimensional potential fold has potential ene...

    Text Solution

    |

  7. A particle of mass m is taken from position A to position B along the ...

    Text Solution

    |

  8. The position (x) of a particle of mass 2 kg moving along x-axis at tim...

    Text Solution

    |

  9. The velocity (v) of a particle of mass m moving along x-axis is given ...

    Text Solution

    |

  10. A block of mass 8 kg is released from the top of an inclined smooth su...

    Text Solution

    |

  11. The position (x) of body moving along x-axis at time (t) is given by ...

    Text Solution

    |

  12. A block of mass m is released on the top of a smooth inclined plane of...

    Text Solution

    |

  13. A particle of mass 0.1 kg is subjected to a force which varies with di...

    Text Solution

    |

  14. An unloaded bus can be stopped by applying brakes on straight road aft...

    Text Solution

    |

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

    Text Solution

    |

  16. A car of mass m has an engine which can deliver power P, The minimum t...

    Text Solution

    |

  17. The rate of doing work by force acting on a particle moving along x - ...

    Text Solution

    |

  18. An object starts from rest and is acted upon by a variable force F as ...

    Text Solution

    |

  19. Which of the following force is not conservative :-

    Text Solution

    |

  20. A disc of mass m and radius r is free to rotate about its centre as sh...

    Text Solution

    |