Home
Class 11
PHYSICS
Two point masses m and M are held at res...

Two point masses m and M are held at rest at a large distance from each other. When released, they begin moving under their mutual gravitational pull.Find their relative acceleration (a) when separation between them becomes x.Integrate the expression of a obtained above to calculate the relative velocity of the two masses when their paration is x. Write the velocity of centre of mass of the system when separation between them is x.

Text Solution

Verified by Experts

The correct Answer is:
`(G(M+m))/(x^(2))`
`sqrt((2G(M+m))/(x))`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Two particles of masses m and M are initially at rest at an infinite distance part. They move towards each other and gain speeds due to gravitational attracton. Find their speeds when the separation between the masses becomes equal to d .

Two point masses m and M are separated bya distance L . The distance of the centre of mass of the system from m is

Two charge each Q are released when the distance between is d .Then the velocity of each charge of mass m each when the distance between them is 2d is

Two objects of masses m and 4m are at rest at an infinite separation. They move towards each other under mutual gravitational attraction. If G is the universal gravitaitonal constant, then at separation r

Two particles of mass m and M are initially at rest and infinitely separated from each other. Due to mutual interaction, they approach each other. Their relative velocity of approach at a separation d between them, is

Two masses m_(1) and m_(2)(m_(1)ltm_(2)) are released from rest finite distance. They start under their mutual gravitational attraction-

Two bodies of masses m_(1) and m_(2) are initially at infinite distance at rest. Let they start moving towards each other due to gravitational attraction. Calculate the (i) ratio of accelerations and (ii) speeds at the point where separation between them becomes r.

Two masses m_(1) and m_(2) at an infinite distance from each other are initially at rest, start interacting gravitationally. Find their velocity of approach when they are at a distance r apart.

Two point charges, each of mass m and charge q are released when they are at a distance from each other. What is the speed of each charged particle when they are at a distance 2r ?

ARIHANT-GRAVITATION-Exercise
  1. Two lead balls of mass m and 2 m are placed at a separation d. A third...

    Text Solution

    |

  2. Four identical point masses m each are kept at the vertices A, B, and ...

    Text Solution

    |

  3. Two point masses m and M are held at rest at a large distance from eac...

    Text Solution

    |

  4. Find the height above the surface of the earth where the acceleration ...

    Text Solution

    |

  5. An astronaut landed on a planet and found that his weight at the pole ...

    Text Solution

    |

  6. A gravity meter can detect change in acceleration due to gravity (g) o...

    Text Solution

    |

  7. The earth is a homogeneous sphere of mass M and radius R. There is ano...

    Text Solution

    |

  8. A planet having mass equal to that of the earth (M = 6 xx10^(24)kg) ha...

    Text Solution

    |

  9. Angular speed of rotation of the earth is omega(0). A train is running...

    Text Solution

    |

  10. If a planet rotates too fast, rocks from its surface will start flying...

    Text Solution

    |

  11. The angular speed of rotation of the earth is omega=7.27xx10^(-5)rads^...

    Text Solution

    |

  12. A planet has radius ((1)/(36)) th of the radius of the earth. The esc...

    Text Solution

    |

  13. Using a telescope for several nights, you found a celestial body at a ...

    Text Solution

    |

  14. A man can jump up to a height of h(0)=1m on the surface of the earth. ...

    Text Solution

    |

  15. It is known that if the length of the day were T0 hour, a man standing...

    Text Solution

    |

  16. A small satellite of mass m is going around a planet in a circular orb...

    Text Solution

    |

  17. Suppose that the gravitational attraction between a star of mass M and...

    Text Solution

    |

  18. A near surface earth’s satellite is rotating in equatorial plane from ...

    Text Solution

    |

  19. Imagine an astronaut inside a satellite going around the earth in a ci...

    Text Solution

    |

  20. The height of geostationary orbit above the surface of the earth is h....

    Text Solution

    |