Home
Class 11
PHYSICS
In order to shift a body of mass m from ...

In order to shift a body of mass `m` from a circular orbit of radius `3R` to a higher orbit of radius `5R` around the earth, the work done is

A

`(3GMm)/(5R)`

B

`(GMm)/(2R)`

C

`2/15(GMm)/R`

D

`(GMm)/(5R)`

Text Solution

Verified by Experts

The correct Answer is:
C
`W=[-(Gm)/(5R)]-[(GMm)/(3R)]`
`implies (GMm)/(3R)-(GMm)/(5R)`
`=(GMm)/R[1/3-1/5]=2/15(GMm)/r`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    CENGAGE PHYSICS|Exercise Multiple Correct|24 Videos

  • GRAVITATION

    CENGAGE PHYSICS|Exercise Assertion- Reasoning|13 Videos

  • GRAVITATION

    CENGAGE PHYSICS|Exercise Subjective|15 Videos

  • FLUID MECHANICS

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|1 Videos

  • KINEMATICS-1

    CENGAGE PHYSICS|Exercise Integer|9 Videos

Similar Questions

Explore conceptually related problems

The energy required to move a body of mass m from an orbit of radius 3R to 4R is

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

Two satellites, A and B, have masses m and 2m respectively. A is in a circular orbit of radius R, and B is in a circular orbit of radius 2R around the earth. The ratio of their kinetic energies, T_(A)//T_(B) , is :

Two satellites , A and B , have masses m and 2m respectively . A is in a circular orbit of radius R , and B is in a circular orbit of radius 2R around the earth . The ratio of their energies , K_A/K_B is :

Two satellites, A and B, have masses m and 2m respectively. A is in a circular orbit of radius R, and B is in a circular orbit of radius 2R around the earth. The ratio of their kinetic energies T_(A)//T_(B) is 1/x . Find the value of x.

The energy required to move an earth satellites of mass m from a circular orbit of radius 2 R to a radius 3 R is " " (R is radius of the earth)

The binding of a satellite of mass m in a orbit of radius r is

CENGAGE PHYSICS-GRAVITATION-Single Correct
  1. If the mass of a planet is 10% less than that of the earth and the rad...

    Text Solution

    |

  2. If a man at the equator would weigh (3//5)th of his weight, the angula...

    Text Solution

    |

  3. In order to shift a body of mass m from a circular orbit of radius 3R ...

    Text Solution

    |

  4. A uniform ring of mas m and radius a is placed directly above a unifor...

    Text Solution

    |

  5. A tunnel is dug along a diameter of the earth. Find the force on a par...

    Text Solution

    |

  6. The value of g at a certain height h above the free surface of the ear...

    Text Solution

    |

  7. A plenet moving along an elliptical orbit is closest to the sun at a d...

    Text Solution

    |

  8. Masses of 1 kg each are placed 1 m, 2 m, 4 m, 8 m, ... from a point P....

    Text Solution

    |

  9. Suppose that the acceleration of a free fall at the surface of a dista...

    Text Solution

    |

  10. Three uniform spheres each having a mass M and radius a are kept in su...

    Text Solution

    |

  11. A body of mass m rises to a height h=R//5 from the earth's surface whe...

    Text Solution

    |

  12. A man weighs 80 kg on the surface of earth of radius r. At what height...

    Text Solution

    |

  13. The gravitational potential energy of an isolated system of three part...

    Text Solution

    |

  14. A diametrical tunnel is dug across the earth. A ball dropped into the ...

    Text Solution

    |

  15. Consider two solid uniform spherical objects of the same density rho. ...

    Text Solution

    |

  16. A body starts from rest from a point distant r(0) from the centre of t...

    Text Solution

    |

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

    Text Solution

    |

  18. The mass of the earth is 81 times the mass of the Moon and the distanc...

    Text Solution

    |

  19. Three equal masses m are placed at the three corners of an equilateral...

    Text Solution

    |

  20. Suppose the gravitational force varies inversely as the nth power of d...

    Text Solution

    |