Home
Class 12
PHYSICS
The kinetic energy needed to project a b...

The kinetic energy needed to project a body of mass m from the earth's surface to infinity is

A

`(mgR)/(2)`

B

`2mgR`

C

`mgR`

D

`(mgR)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C

Requried `KE=(GMm)/(R)=mgR`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    ALLEN |Exercise Exercise 5 B (Previous Year Questions)|9 Videos
  • GRAVITATION

    ALLEN |Exercise Illustration|34 Videos
  • GRAVITATION

    ALLEN |Exercise Exercise 4 B (Brain Storming Subjective Exercise)|20 Videos
  • GEOMETRICAL OPTICS

    ALLEN |Exercise subjective|14 Videos
  • KINEMATICS-2D

    ALLEN |Exercise Exercise (O-2)|47 Videos

Similar Questions

Explore conceptually related problems

Find the kinetic energy needed to project a body of mass m from the surface of earth to infinity.

If the mass of earth is M, radius R and G is universal gravitational constant then the workdone against gravity to move a body of mass 1 kg from the surface of earth to infinity will be

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)

Energy required to move a body of mass m from an orbit of radius 2R to 3R is

The minimum projection velocity of a body from the earth's surface so that it becomes the satellite of the earth (R_(e)=6.4xx10^(6) m) .

Energy required to move a body of mass m from an orbit of radius 2R to 3R is..........

A body of mass m kg starts falling from a distance 2R above the earth's surface. What is its kinetic energy when it has fallen to a distance 'R' above the earth's surface ? (where R is the radius of Earth)

Why potential energy of a body increases when it is carried from the earth's surface ?

If g is the acceleration due to gravity on earth's surface, the gain of the potential energy of an object of mass m raised from the surface of the earth to a height equal to the radius R of the earth is

ALLEN -GRAVITATION-Exercise 5 A (Previous Year Questions)
  1. If suddenly the gravitational force of attraction between earth and sa...

    Text Solution

    |

  2. The kinetic energy needed to project a body of mass m from the earth's...

    Text Solution

    |

  3. Energy required to move a body of mass m from an orbit of radius 2R to...

    Text Solution

    |

  4. The time period of a satellite of earth is 5 hours. If the separation ...

    Text Solution

    |

  5. Two spherical bodies of mass M and 5M & radii R and 2R respectively, a...

    Text Solution

    |

  6. A satellite of mass m revolves around the earth of radius R at a heigh...

    Text Solution

    |

  7. The time period of an earth satellite in circular orbit is independent...

    Text Solution

    |

  8. Suppose the gravitational force varies inversely as the n^(th) power o...

    Text Solution

    |

  9. Suppose the gravitational force varies inversely as the n^(th) power o...

    Text Solution

    |

  10. Average density of the earth

    Text Solution

    |

  11. The change in the value of g at a height h above the surface of the ea...

    Text Solution

    |

  12. A particle of mass 10g is kept on the surface of a uniform sphere of m...

    Text Solution

    |

  13. If gE and gM are the acceleration due to gravity on the surfaces of th...

    Text Solution

    |

  14. A planet in a distant solar systyem is 10 times more massive than the ...

    Text Solution

    |

  15. This question contains Statement -1 and Stantement -2 Of the four choi...

    Text Solution

    |

  16. The height at which the acceleration due to gravity becomes g/9 in ter...

    Text Solution

    |

  17. Two bodies of masses m and 4m are placed at a distance r. The gravitat...

    Text Solution

    |

  18. Two particles of equal mass 'm' go around a circle of radius R under t...

    Text Solution

    |

  19. The mass of a spaceship is 1000kg. It is to be launched from the earth...

    Text Solution

    |

  20. Four particles, each of mass M and equidistant from each other, move a...

    Text Solution

    |