Home
Class 11
PHYSICS
find the acceleration due to gravity in ...

find the acceleration due to gravity in a mine of depth 640 m if the value at the surfaceis 9.800 ms^-2`. The rdius of the earth is 6400 km.

Text Solution

Verified by Experts

Let g' be the acceleration due to gravity in mine
`Then, g'=g(1-d/R)`
`=9.8(1-640/(640xx10^3))`
`=9.8((10000-1)/10^4)`
`=9.8/10^4 9999`
`=9.799 m/s^2`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A satellite is to revolve round the earth in as circle of radius 8000 km. With what speed should this satellite be projected into orbit? What will be the time period? Take g at the surface =9.8ms^-2 and radius of the earth =6400 km.

The value of acceleration due to gravity at the surface of Earth:

The value of acceleration due to gravity at the surface of Earth:

Find the acceleration due to gravity of the moon at a point 1000 km above the moon's surface. The mass of the moon is 7.4 x10^22 ' kg and its radius is 1740 km.

Calculate the value of acceleration due to gravity at a point .5.0 km below the earth's surface. Radius of earth =6400 km and the value of g at the surface of the earth is 9.8 ms^2

The acceleration due to gravity at a height 1 km above the earth is the same sa at depth d below the surface of earth . Then

Suppose the acceleration due to gravity at a place is 10 m/s^2 . Find its value in cm//(min)^2

Suppose the acceleration due to gravity at earth's surface is 10ms^-2 and at the surface of Mars it is 4.0ms^-2 . A passenger goes from the earth to the mars in a spaceship with a constant velocity. Neglect all other object in sky. Which part of figure best represent the weight (net gravitational force) of the passenger as a function of time?

HC VERMA-GRAVITATION-Exercises
  1. The gravitational potential in a region is given by V=20Nkg^-1(x+y). A...

    Text Solution

    |

  2. The gravitational field in a region is given by E=(2veci+vecj)Nkg^-1 s...

    Text Solution

    |

  3. Find the height over the earth's surface at which the weight of a body...

    Text Solution

    |

  4. What is the acceleration due to gravity on the top of Mount Everest? M...

    Text Solution

    |

  5. find the acceleration due to gravity in a mine of depth 640 m if the v...

    Text Solution

    |

  6. A body is weighed by a spring balance to be 1.000 kg at the north pole...

    Text Solution

    |

  7. A body stretches a spring by a particular length at the earth's surfac...

    Text Solution

    |

  8. At what rate should the earth rotate so that the apparent g at the equ...

    Text Solution

    |

  9. A pendulum having a bob of mas m is hanging in a ship sailing along th...

    Text Solution

    |

  10. The time taken by Mars to revolve round the sun is 1.88 years. Find th...

    Text Solution

    |

  11. The moon takes about 27.3 days to revolve around the earth in a nearly...

    Text Solution

    |

  12. A mars satellite moving in an orbit of radius 9.4xx10^3 km take 27540 ...

    Text Solution

    |

  13. A satellite of mass 1000 kg is supposed to orbit the earth at a height...

    Text Solution

    |

  14. Find the radius of the circular orbit of a satellite moving with an an...

    Text Solution

    |

  15. What is the true weight of an object in a geostationary satellite that...

    Text Solution

    |

  16. The radius of a planet is R1 and a satellite revolves round it in a c...

    Text Solution

    |

  17. find the minimum colatitude which can directly receive a signal from a...

    Text Solution

    |

  18. A particle is fired vertically upward fom earth's surface and it goes ...

    Text Solution

    |

  19. A particle is fired vertically upward with a speed of 15 kms^-1. With ...

    Text Solution

    |

  20. A mass of 6xx10^24 kg (equal to the mass of the earth) is to be compre...

    Text Solution

    |