Home
Class 11
PHYSICS
The gravitational potential due to a mas...

The gravitational potential due to a mass distribution is `V=A/sqrt(x^2+a^2)`. Find the gravitational field.

Text Solution

AI Generated Solution

To find the gravitational field \( \mathbf{E} \) from the given gravitational potential \( V = \frac{A}{\sqrt{x^2 + a^2}} \), we can follow these steps: ### Step 1: Understand the relationship between gravitational field and potential The gravitational field \( \mathbf{E} \) is related to the gravitational potential \( V \) by the equation: \[ \mathbf{E} = -\nabla V \] This means we need to take the gradient (or partial derivatives) of the potential \( V \) and then negate it. ...
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    HC VERMA ENGLISH|Exercise worked out Examples|13 Videos
  • GRAVITATION

    HC VERMA ENGLISH|Exercise Objective -1|16 Videos
  • FRICTION

    HC VERMA ENGLISH|Exercise Questions for short Answer|11 Videos
  • HEAT AND TEMPERATURE

    HC VERMA ENGLISH|Exercise Objective 2|6 Videos
HC VERMA ENGLISH-GRAVITATION-Question for short Answers
  1. The gravitational potential due to a mass distribution is V=A/sqrt(x^2...

    Text Solution

    |

  2. Can two particles be in equilibrium under the action of their mutual g...

    Text Solution

    |

  3. If heavier bodies are attracted more strongly by the earth why don't t...

    Text Solution

    |

  4. Can you think of two particles which do not exert gravitational force ...

    Text Solution

    |

  5. The earth revolves round the sun because the sun attracts the erth. Th...

    Text Solution

    |

  6. At noon, the sun and the earth pull theobjects on the earth's surface ...

    Text Solution

    |

  7. An apple fals from a tree. An insect in the apple filnds that the eart...

    Text Solution

    |

  8. Suppose the gravitational portential due to a small system is k/r^2 at...

    Text Solution

    |

  9. The gravitational potential energy of a two particle system is derived...

    Text Solution

    |

  10. The weight of an object is more at the poles than at the equator. Is i...

    Text Solution

    |

  11. The weight of a body at the poles is greater than the weight at the eq...

    Text Solution

    |

  12. If the radius of the earth decreases by 1% without changing its mass, ...

    Text Solution

    |

  13. A nut becomes lose and gets detached from a satellite revolving around...

    Text Solution

    |

  14. Is it necessary for the plane of the orbit of a satellite to pass thr...

    Text Solution

    |

  15. Consider earth satellites in circular orbits. A geostationary satellit...

    Text Solution

    |

  16. No part of India is situated on the equator. Is it possible to have a ...

    Text Solution

    |

  17. As the earth rotates about its axis, a person living in his house at t...

    Text Solution

    |

  18. Two satellites going in equatoral plane have almost same radii. As see...

    Text Solution

    |

  19. A spacecraft consumes more fuel in going from earth to moon than it ta...

    Text Solution

    |