Home
Class 11
PHYSICS
If the distance between the two spherica...

If the distance between the two spherical bodies is increased to four times, then by how many times, the mass of one of the bodies to be changed to maintain the same gravitational force ?

Text Solution

AI Generated Solution

To solve the problem, we need to analyze the gravitational force between two spherical bodies and how it changes when the distance between them is altered. ### Step-by-Step Solution: 1. **Understanding the Gravitational Force Formula**: The gravitational force \( F \) between two masses \( M_1 \) and \( M_2 \) separated by a distance \( r \) is given by the formula: \[ F = \frac{G M_1 M_2}{r^2} ...
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    DC PANDEY ENGLISH|Exercise Solved Examples|16 Videos
  • GRAVITATION

    DC PANDEY ENGLISH|Exercise Miscellaneous Examples|8 Videos
  • GENERAL PHYSICS

    DC PANDEY ENGLISH|Exercise INTEGER_TYPE|2 Videos
  • KINEMATICS

    DC PANDEY ENGLISH|Exercise INTEGER_TYPE|10 Videos

Similar Questions

Explore conceptually related problems

If the distance between the two bodies is increased to two times, then by how many times the mass of one of the bodies to be changed to maintain the same gravitational force ?

If the distance between the sun and the earth is increased by four times then the attraction between the two will

The gravitational force between two bodies is :

If the distance between the sun and the earth is increased by three times, then attraction between two will

If the radius of a circle is increased three times, by how many times will the circumference increase ?

The distance between the centres of the Moon and the earth is D . The mass of the earth is 81 times the mass of the Moon. At what distance from the centre of the earth, the gravitational force will be zero?

The distance of the centres of moon the earth is D. The mass of earth is 81 times the mass of the moon. At what distance from the centre of the earth, the gravitational force on a particle will be zero.

If the unit of force and length be ecah increased by four times, then the unit of energy is increased by

Frictional force between two bodies

DC PANDEY ENGLISH-GRAVITATION-(C) Chapter Exercises
  1. If the distance between the two spherical bodies is increased to four ...

    Text Solution

    |

  2. Starting from the centre of the earth having radius R, the variation o...

    Text Solution

    |

  3. A satellite of mass m is orbiting the earth (of radius R) at a height ...

    Text Solution

    |

  4. At what height from the surface of earth the gravitation potential and...

    Text Solution

    |

  5. The ratio of escape velocity at earth (V(e)) to the escape velocity at...

    Text Solution

    |

  6. Kepler's third law states that square of period of revolution (T) of a...

    Text Solution

    |

  7. The reading of a spring balance corresponds to 100 N while situated at...

    Text Solution

    |

  8. The gravitational field due to an uniform solid sphere of mass M and r...

    Text Solution

    |

  9. What would be the value of acceleration due to gravity at a point 5 km...

    Text Solution

    |

  10. Two particles of equal mass m go round a circle of radius R under the ...

    Text Solution

    |

  11. What would be the escape velocity from the moon, it the mass of the mo...

    Text Solution

    |

  12. Two spheres of masses 16 kg and 4 kg are separated by a distance 30 m ...

    Text Solution

    |

  13. Orbital velocity of an artificial satellite does not depend upon

    Text Solution

    |

  14. Gravitational potential energy of body of mass m at a height of h abov...

    Text Solution

    |

  15. According to Kepler's law of planetary motion, if T represents time pe...

    Text Solution

    |

  16. If mass of a body is M on the earth surface, then the mass of the same...

    Text Solution

    |

  17. Two spherical bodies of masses m and 5m and radii R and 2R respectivel...

    Text Solution

    |

  18. The force of gravitation is

    Text Solution

    |

  19. Dependence of intensity of gravitational field (E) of earth with dista...

    Text Solution

    |

  20. Keeping the mass of the earth as constant, if its radius is reduced to...

    Text Solution

    |

  21. A body of mass m is raised to a height 10 R from the surface of the ea...

    Text Solution

    |