Home
Class 11
PHYSICS
A mars satellite moving in an orbit of r...

A mars satellite moving in an orbit of radius `9.4xx10^3 km` take `27540 s` to complete one revolution. Calculate the mass of mars.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
`T=2pi sqrtr^3/(GM))`
`rarr 27540=2xx3.14(sqrt((9.4x1063xx10^3)^3)/(6.67xx10^-11xM))`
or `(27540)^2=(6.280^2=((9.4xx10^5)^3)/(6.67xx10^-11xM)`
`or M=((6.28)^2x(9.4)^3xx10^18)/(6.67xx10^-11xx(27540)^2)`
`=6.5xx10^23kg`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

In a hydrogen atom, the vece moves in an orbit of radius 0.5xx10^(-10) m making 10^(16) r.p.s Calculate the magnetic moment associated with the orbital motion of vece .

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

The planet Mars has two moons, phobos and delmos. (i) phobos has a period 7 hours, 39 minutes and an orbital radius of 9.4 xx 103 km. Calculate the mass of mars. (ii) Assume that earth and mars move in circular orbits around the sun, with the martian orbit being 1.52 times the orbital radius of the earth. What is the length of the martian year in days ?

Find the accelerationof the moon with respect to the eath from the following data, Distance between the earth and the moon =3.85xx10^5 km and the time taken by the moon to complete one revolution around the earth =27.3days

Calculate the value of g in the following two cases: (a) If a mango of mass 1/2 kg falls from a tree from a height of 15 metres, what is the acceleration due to gravity when it beigns to fall? (b) Consider a satellite orbiting the Earth in a circular orbit of radius 1600 km above the surface of the Earth. What is the acceleration experienced by the satellite due to Earth's gravitational force?

A satellite S is moving in an elliptical orbit around the Earth. The mass of the satellite is very small compared to the mass of the Earth.Then, which one of the following statements is correct?

Let us assume that our galaxy consists of 2.5 × 10^(11) stars each of one solar mass. How long will a star at a distance of 50,000 ly from the galactic centre take to complete one revolution? Take the diameter of the Milky Way to be 10^(5) ly.

In the bhohr model of H-atoms,the electrons moves in a circular orbit of radius 0.53 Å with speed of 2.65 xx 10^(6)m//s . Calculate the current orbit.

A bal tied to a sting takes 4 s to complete revolution along a horizontal circle. If by pulling the cord, the radius of the circle is reduced to half of the previous value, then how much time the ball will take in one revolution.

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

    Text Solution

    |

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

    Text Solution

    |

  3. Find the height over the earth'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 weighed by a spring balance 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 rotate so that the apparent g at the equ...

    Text Solution

    |

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

    Text Solution

    |

  10. The time taken by Mars to revolve round the sun is 1.88 years. Find th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. A satellite of mass 1000 kg is supposed to orbit the earth at a height...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. The radius of a planet is R1 and a satellite revolves round it in a c...

    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 particle is fired vertically upward with a speed of 15 kms^-1. With ...

    Text Solution

    |

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

    Text Solution

    |