Home
Class 12
PHYSICS
A body (intially at rest is falling unde...

A body (intially at rest is falling under gravity. When it loses a gravitational potential energy by `U`, its speed is `v`.The mass of the body shall be `:`

A

`(2U)/(v)`

B

`(U)/(2v)`

C

`(2U)/(v^(2))`

D

`(U)/(2v^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C

By COME loss is `PE=`gain in `KE` `:`
`U=(1)/(2)mv^(2)rArrm=(2U)/(v^(2))`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Write the change in gravitational potential energy of a body lifted at height h from the surface of earth ?

What is potential energy ? Derive an equation for gravitational potential energy of a body of mass 'm' at a height 'h'. (AS_(1))

A star like the sun has several bodies moving around it at different distances. Consider that all of them are moving in circular orbits. Letr be the distance of the body from the centre of the star and let its linear velocity be v, angular velocity , omega kinetic energy K, gravitational potential energy U, total energy E and angular momentum I. As the radius r of the orbit increases, determine which of the above quantities increase and which ones decrease. As shown in figure, where a body of mass m is revolving around a star of mass M. Linear velocity of the body,

The gravitational potential energy of a body of mass m at the earth's surface is mgR_e . Its gravitational potential energy at a height R_e from the earth's surface will be ..... (Here R_e is the radius of earth)

A body of mass m taken from the earth's surface to the height h = 3R (R = Radius of earth) The change in gravitational potential energy of the body will be ........

When an apple falls from a tree what happens to its gravitational potential energy just as it reaches the ground ? After it strikes the ground ? (AS_(7))

When a negative charge is moved from surface of Earth to a certain height, its gravitational potential energy ...... .

Work done by a body against friction always results in a loss of its kinetic/potential energy .

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

When an object is falling freely from the height h from the earth's surface its gravitational potential energy decreases gradually but its mechanical energy does not change.

ALLEN -TEST PAPER-Exercise (Physics)
  1. A car of mass 1000kg moves from point A to B. If kinetic energy of ca...

    Text Solution

    |

  2. Two bodies of masses m(1) and m(2) are acted upon by a constant force ...

    Text Solution

    |

  3. A body (intially at rest is falling under gravity. When it loses a gra...

    Text Solution

    |

  4. The graph below shows how the force on a mass depends on the position ...

    Text Solution

    |

  5. A particle with total energy E moves in one direction in a region wher...

    Text Solution

    |

  6. Consider the folllowing graph of potential energy (U) vs position (x) ...

    Text Solution

    |

  7. A chain of uniform mass m and length L is held on a frictionless table...

    Text Solution

    |

  8. A force of magnitude of 30N acting along hat(i)+hat(j)+hat(k), displac...

    Text Solution

    |

  9. A spring of force constant K is cut in two parts at its one third leng...

    Text Solution

    |

  10. A ball of mass m is attached to a string whose other end is fixed. The...

    Text Solution

    |

  11. A block of mass m lies on a horizontal frictionless surface and is att...

    Text Solution

    |

  12. Two bars of masses m(1) and m(2) connected by a non-deformed light spr...

    Text Solution

    |

  13. Power due to a force actoing on a block varies with time t as shown in...

    Text Solution

    |

  14. Two inclined frictionless tracks , one gradual and the other steep mee...

    Text Solution

    |

  15. A particle A is projected verically upwards. Another indentical partic...

    Text Solution

    |

  16. Track OABCD (as shown is figure) is smooth and fixed in vertical plane...

    Text Solution

    |

  17. In the ideal atwood machine arrangement shown, what is the change in k...

    Text Solution

    |

  18. A partical of mass 2kg is moving on the x-axis with a constant mechani...

    Text Solution

    |

  19. A chain of length L and mass m is placed upon a smooth surface. The le...

    Text Solution

    |

  20. Potential energy function along x-axis in a certain force field is giv...

    Text Solution

    |