Home
Class 11
PHYSICS
The potential energy U in joule of a par...

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 :

A

the particle has constant acceleration

B

the particle has zero acceleration

C

the speed of the particle when it crosses y-axis is `10 m//s`

D

co-ordinate of particle at `t = 1` sec is (4.5, 2)

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Promotional Banner

Topper's Solved these Questions

  • WORK AND ENERGY

    ANURAG MISHRA|Exercise Level 3|34 Videos
  • WORK AND ENERGY

    ANURAG MISHRA|Exercise Matching types problems|14 Videos
  • WORK AND ENERGY

    ANURAG MISHRA|Exercise Level 1|53 Videos
  • UNIT AND DIMENSIONS

    ANURAG MISHRA|Exercise Matching Type Problem|4 Videos

Similar Questions

Explore conceptually related problems

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

The potential energy phi in joule of a particle of mass 1 kg moving in x-y plane obeys the law, phi=3x + 4y . Here, x and y are in metres. If the particle is at rest at (6m, 8m) at time 0, then the work done by conservative force on the particle from the initial position to the instant when it crosses the x-axis is .

The potential energy U (in J ) of a particle is given by (ax + by) , where a and b are constants. The mass of the particle is 1 kg and x and y are the coordinates of the particle in metre. The particle is at rest at (4a, 2b) at time t = 0 . Find the speed of the particle when it crosses y-axis.

The potential energy U (in J ) of a particle is given by (ax + by) , where a and b are constants. The mass of the particle is 1 kg and x and y are the coordinates of the particle in metre. The particle is at rest at (4a, 2b) at time t = 0 . Find the speed of the particle when it crosses x-axis

The potential energy U (in J ) of a particle is given by (ax + by) , where a and b are constants. The mass of the particle is 1 kg and x and y are the coordinates of the particle in metre. The particle is at rest at (4a, 2b) at time t = 0 . Find the coordinates of the particle at t =1 second.

The potential energy U (in J ) of a particle is given by (ax + by) , where a and b are constants. The mass of the particle is 1 kg and x and y are the coordinates of the particle in metre. The particle is at rest at (4a, 2b) at time t = 0 . Find the acceleration of the particle.

ANURAG MISHRA-WORK AND ENERGY-Level 2
  1. The potential energy U in joule of a particle of mass 1 kg moving in x...

    Text Solution

    |

  2. A simple pendulum consisting of a mass M attached to a string of lengt...

    Text Solution

    |

  3. An object is displaced from a point A(0, 0, 0) to B(1m, 1m , 1m) under...

    Text Solution

    |

  4. A particle mass is tied to an ideal string and whirled in a vertical c...

    Text Solution

    |

  5. The following plot shows the variation of potential energy (U) of a sy...

    Text Solution

    |

  6. A smooth narrow tube in the form of an arc AB of a circle of centre O ...

    Text Solution

    |

  7. In a children\'s park, there is a slide which has a total length of 10...

    Text Solution

    |

  8. A particle of mass m is kept at the top of a smooth fixed sphere. It i...

    Text Solution

    |

  9. The total work done on a particle is equal to the change in its kineti...

    Text Solution

    |

  10. A particle is acted upon by a force of constant magnitude which is alw...

    Text Solution

    |

  11. You lift a suitcase from the floor and keep it on a table. The work do...

    Text Solution

    |

  12. A particle of maas m is attched to a light string of length l, the oth...

    Text Solution

    |

  13. The string of a simple pendulum can with stand a maximum tension equal...

    Text Solution

    |

  14. A particle of mass m is at rest in a train moving with constant veloci...

    Text Solution

    |

  15. The potential energy in joules of a particle of mass 1 kg moving in a ...

    Text Solution

    |

  16. A ball is projected vertically upwards. Air resistance and variation i...

    Text Solution

    |

  17. A ball is projected vertically upwards. Air resistance and variation i...

    Text Solution

    |

  18. A ball is projected vertically upwards. Air resistance and variation i...

    Text Solution

    |