Home
Class 11
PHYSICS
The moon takes about 27.3 days to revolv...

The moon takes about 27.3 days to revolve round the earth in a nearly circular orbit of radius 3.84xx10^5 k. Calculate the mass of the earth from these datas.

Text Solution

Verified by Experts

The correct Answer is:
A, B, D

`T=2pisqrt(r^3/(GM))`
27.3=2xx3.14(sqrt((3.84xx10^5)^3)/(6.67xx106-11M))`
or `27.3xx27.3=(2xx3.14xx(3.84xx10^5)63)/(6.67xx0^-11xx(27.30^2)`
`=6.02xx10^24kg`
`:. ` Mass of earth is found to be `6.02xx10624kg`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Moon takes 27.3 days to complete one revolution around the earth , in a cirular orbit of radius 3.9xx10^(5) km. Calculate the centripetal acceleration of the moon .

A communication satellite of mass 500kg revolves around the earth in a circular orbit of radius 4.0xx10^(7)m in the equatorial plane of the earth in the direction from west to east. The magnitude of angular momentum of the satellite is

A satellite has to revolve round the earth in a circular orbit of radius 8 xx 10^(3) km. The velocity of projection of the satellite in this orbit will be -

A satellite of mass 2000 kg is revolving around the earth in a circular orbit of radius 4xx10^(4) km. The gravitational force exerted by the satellite on the earth is ________. [Mass of the earth = 6xx10^(24)kg, G=6.67xx10^(-11)Nm^(2)//kg^(2) ]

The moon revolves around the earth in a circular orbit of radius - 3.84xx10^5 km with velocity 1 km/s. The additional velocity required to escape from influencing earth satellite is

Two identical satellites A and B revolve round the earth in circular orbits at distance R and 3R from the surface of the earth. The ratio of the linear momenta of A and B is (R = radius of the earth)

A satellite of mass m revolves revolves round the earth of mass M in a circular orbit of radius r with an angular velocity omega . If the angular velocity is omega//8 then the radius of the orbit will be

An artificial satellite is moving in a circular orbit of radius 42250 km . Calculate its speed if it takes 24 hours to revolve around the Earth.

A satellite takes years to move around the earth in its permissible orbit of radius R. the period when it revolves round the earth in an orbit of radius 2R is

HC VERMA-GRAVITATION-Exercises
  1. The grvitationa potential in a region is given by 'V=20Nkg^-1(x+y)'. A...

    Text Solution

    |

  2. The gravitational field ina region is given by E=(2veci+vecj)Nkg^-1 sh...

    Text Solution

    |

  3. Find the height over the eart's surface at which the weight of a body ...

    Text Solution

    |

  4. What is the acceleration due to gravity on the top of Mount Everest? M...

    Text Solution

    |

  5. find the acceleration due to gravity in a mine of depth 640 m if the v...

    Text Solution

    |

  6. A body is weighted by a spring balnce to be 1.000 kg at the north pole...

    Text Solution

    |

  7. A body stretches a spring by a particular length at the earth's surfac...

    Text Solution

    |

  8. At what rate should the earth rotaste so that the apparent g at the eq...

    Text Solution

    |

  9. A pendulum having a bob of mas m is hanging in a ship sailing along th...

    Text Solution

    |

  10. The time take Mars to revolve round the sun is 1.88 years.Find the rat...

    Text Solution

    |

  11. The moon takes about 27.3 days to revolve round the earth in a nearly ...

    Text Solution

    |

  12. A mars satellite miving in an orbit of radius 9.4xx10^3 km take 27540 ...

    Text Solution

    |

  13. AS satellite of mass 1000 kg is supposed to orbit the earth at a heigh...

    Text Solution

    |

  14. a.Find the radius of the circular orbit of a satellite moving with ab ...

    Text Solution

    |

  15. What is the true weight of an object in a geostationary satellite that...

    Text Solution

    |

  16. The radius ofa planet is R1 and a satellite revolves round it in a cir...

    Text Solution

    |

  17. find the minimum colatitude which can directly receive a signal from a...

    Text Solution

    |

  18. A particle is fired vertically upward fom earth's surface and it goes ...

    Text Solution

    |

  19. A prtile is fired vertically upwrd with a speed of 15 kms^-1. With wha...

    Text Solution

    |

  20. A mass of 6xx10^24 kg (equal to the mass of the earth) is to be compre...

    Text Solution

    |