Home
Class 11
PHYSICS
Find the proper potential energy of grav...

Find the proper potential energy of gravitational interaction of matter forming
(a) a thin uniform spherical layer of mass m and radius R,
(b) a uniform sphere of mass m and radius R(make use of the answer to Problem)

Text Solution

Verified by Experts

The correct Answer is:
(a) `U = - Gm^(2)//2R`; (b) `U = - 3Gm^(2)//5R`
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

For a uniform ring of mass M and radius R at its centre

Find the self gravitationl potential of (a) a thin unifrom spherical shell of radius R snd mass M, (b) a solid sphere of the same radius and mass .

A thin spherical shell of mass M and radius R has a small hole. A particle of mass m released at its mouth. Then

The gravitational field due to an uniform solid sphere of mass M and radius a at the centre of the sphere is

A block of mass m is lying at a distance r from a spherical shell of mass m and radius r, then :

Find the potential energy of the gravitational interaction of a point mass m and a rod of mass m and length l , if they are along a straight line. Point mass is at a distance of a from the end of the rod. Find the potential energy of the gravitational

Consider a thin uniform spherical layer of mass M and radius R. The potential energy of gravitational interaction of matter forming this shell is :

Calculate gravitational field intensity at a distance x on the axis from centre of a uniform disc of mass M and radius R .

PHYSICS GALAXY - ASHISH ARORA-GRAVITATION-Unsolved Numerical
  1. A 50 kg astronaut is floating at rest in space 35 m from her stationar...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. A body is projected vertically upward from the surface of earth with a...

    Text Solution

    |

  19. What is the radius of a planet of density rho if at its surface escape...

    Text Solution

    |

  20. Consider two satellites A and B of equal mass, moving in the same circ...

    Text Solution

    |