Home
Class 11
PHYSICS
The masses and radii of the Earth and th...

The masses and radii of the Earth and the Moon are `M_1, R_1 and M_2,R_2` respectively. Their centres are at a distance d apart. The minimum speed with which a particel of mass m should be projected from a point midway between the two centres so as to escape to infinity is ........

Text Solution

Verified by Experts

The correct Answer is:
`2sqrt((G(M_(1)+M_(2)))/(d))`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Advance MCQs|17 Videos

  • FLUID MECHANICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problems|86 Videos

  • KINEMATICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Pro.|83 Videos

Similar Questions

Explore conceptually related problems

The masses and radii of the earth an moon are M_(1) and R_(1) and M_(2), R_(2) respectively. Their centres are at a distacne r apart. Find the minimum speed with which the particle of mass m should be projected from a point mid-way between the two centres so as to escape to infinity.

The masses and radii of the earth and moon are (M_(1), R_(1)) and (M_(2), R_(2)) respectively. Their centres are at a distance r apart. Find the minimum escape velocity for a particle of mass 'm' to be projected from the middle of these two masses :

The radii of a planet and its satellite are 2r and r and their densities are rho and 2rho respectively. Their centres are separated by a distance d. The minimum speed with which a body should be projected from the mid point of the line joining their centres so that the body escapes to infinity is (G-universal gravitational constant)

Two particles, each of mass m, are a distance d apart. To bring a third particle, also having mass m, from far away to the point midway between the two particles an external agent does work given by:

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 satellite fo masses m and 4m orbit the earth in circular orbits of radii 4r and r respectively. The ratio of their orbital speed is

Two satellites of masses 3 m and m orbit the earth in circular orbits of radii r and 3 r respectively. The ratio of the their speeds is

If d is the distance between the centre of the earth of mass M_(1) and the moon of mass M_(2) , then the velocity with which a body should be projected from the mid point of the line joining the earth and the moon, so that it just escape is

Earth and moon centre distance is 'r'. From the mid point what should be the speed of the particle so that it can escape to infinity?

PHYSICS GALAXY - ASHISH ARORA-GRAVITATION-Unsolved Numerical
  1. If the time period of a satellite T(S) is different from that of earth...

    Text Solution

    |

  2. Two identical solid copper spheres of radius R placed in contact with ...

    Text Solution

    |

  3. The masses and radii of the Earth and the Moon are M1, R1 and M2,R2 re...

    Text Solution

    |

  4. A 50 kg astronaut is floating at rest in space 35 m from her stationar...

    Text Solution

    |

  5. The eccentricity of the earth's orbit is 0.0167, the ratio of its maxi...

    Text Solution

    |

  6. Find the proper potential energy of gravitational interaction of matte...

    Text Solution

    |

  7. A man of mass m starts falling towards a planet of mass M and radius R...

    Text Solution

    |

  8. A pair of stars rotates about a common centre of mass. One of the star...

    Text Solution

    |

  9. A planet of mass M moves around the Sun along an ellipse so that its m...

    Text Solution

    |

  10. The optimal way of transferring a space vehicle from an inner circular...

    Text Solution

    |

  11. A lunar probe is rocketed from earth directly toward the moon in such ...

    Text Solution

    |

  12. A particle is projected from earth surface with a velocity sqrt((4gR)/...

    Text Solution

    |

  13. A rocket starts vertically upward with speed v(0). Show that its speed...

    Text Solution

    |

  14. A satellite is in a circular orbit very close to the surface of a plan...

    Text Solution

    |

  15. A spherical hollow is made in lead sphere of radius R, such that its s...

    Text Solution

    |

  16. If a satellites is revolving close to a planet of density rho with per...

    Text Solution

    |

  17. Find the angular speed of earth so that a body lying at 30^(@) latitud...

    Text Solution

    |

  18. A projectile is fired vertically upwards from the surface of the earth...

    Text Solution

    |

  19. A satellite is in a circular polar orbit of altitude 300 km. Determine...

    Text Solution

    |

  20. A satellite of mass 5M orbits the earth in a circular orbit. At one po...

    Text Solution

    |