Home
Class 11
PHYSICS
Acceleration due to gravity is independe...

Acceleration due to gravity is independent of mass of the earth/mass of the body.

Text Solution

Verified by Experts

(a) Acceleration due to gravity at height h `g(h) = g (1-(2h)/R)`  hence according to this acceleration due to gravity decreases as height increases.
(b) Acceleration due to gravity at depth d `g(d) = g(1-d/R)` hence according to this acceleration due to gravity decreases as depth increases.
(c) Acceleration due to gravity `g=(GM_E)/(R^2)` where `M_E` Me mass of earth, hence acceleration due to gravity g is independent to the mass of body (m).
(d) Formula -GMm `(1/r_1 -1/r_2)` is more accurate than the formula `mg(r_1-r_2)`.
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    KUMAR PRAKASHAN|Exercise Section - B ADDITIONAL EXERCISE|4 Videos
  • GRAVITATION

    KUMAR PRAKASHAN|Exercise Section - B Numerical From .DARPAN. Based On Textbook|9 Videos
  • GRAVITATION

    KUMAR PRAKASHAN|Exercise Section - B Numericals (Numerical From Textual Illustration)|15 Videos
  • LAW OF MOTION

    KUMAR PRAKASHAN|Exercise (QUESTION PAPER) SECTION-D|1 Videos

Similar Questions

Explore conceptually related problems

Define acceleration due to gravity.

Acceleration due to gravity at the centre of the earth is :-

Explain the variations of acceleration due to gravity inside and outside the earth and draw the graph.

The height at which the acceleration due to gravity becomes g/9 (where g = acceleration due to gravity on the surface of the earth) in terms of R, the radius of the earth is .........

Where does the acceleration due to gravity is larger, equator or poles of the earth? Why?

Assertion : If rotation of earth about its own axis is suddenly stops then acceleration due to gravity will increase at all places on the earth. Reason : At height h from the surface of earth acceleration due to gravity is g_(h)=g(1- (2h)/R_(e)) .

A satellite of mass m revolves around the earth of radius R at a height x from its surface. If g is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is .........

A satellite of mass m revolves around the earth of radius R at a height x from its surface. If g is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is

The radius of the earth is 4 times that of the moon and its mass is 80 times that of the moon. If the acceleration due to gravity on the surface of the earth is 10m//s^2 that on the surface of the moon will be .........

KUMAR PRAKASHAN-GRAVITATION-Section - B Numerical From Textual Exercise (Answer the following:)
  1. You can shled a charge from electrical forces by putting it inside a h...

    Text Solution

    |

  2. Acceleration due to gravity is independent of mass of the earth/mass o...

    Text Solution

    |

  3. Suppose there existed a planet that went around the Sun twice as fast ...

    Text Solution

    |

  4. In one of the satellites of Jupiter has an orbital period of 1.769 day...

    Text Solution

    |

  5. Let us assume that our galaxy consists of 2.5 x× 10^(11) stars each of...

    Text Solution

    |

  6. Choose the correct alternative : (a) If the zero of potential energy...

    Text Solution

    |

  7. Does the escape speed of a body from the earth depend on (a) the mass ...

    Text Solution

    |

  8. A comet orbits the sun in a highly elliptical orbit. Does the comet ha...

    Text Solution

    |

  9. Which of the following symptoms is likely to afflict an astronaut in s...

    Text Solution

    |

  10. In the following two exercises, choose the correct answer from among t...

    Text Solution

    |

  11. For the above problem, the direction of the gravitational intensity at...

    Text Solution

    |

  12. A rocket is fired from the earth towards the sun. At what distance fro...

    Text Solution

    |

  13. How will you ‘weigh the sun’, that is estimate its mass? The mean orbi...

    Text Solution

    |

  14. A saturn year is 29.5 times the earth year. How far is the saturn from...

    Text Solution

    |

  15. A body weighs 63 N on the surface of the earth. What is the gravitatio...

    Text Solution

    |

  16. Assuming the earth to be a sphere of uniform mass density, how much wo...

    Text Solution

    |

  17. A rocket is fired vertically with a speed of 5 km s^(-1) from the eart...

    Text Solution

    |

  18. The escape speed of a projectile on the earth’s surface is 11.2 km s^(...

    Text Solution

    |

  19. A satellite orbits the earth at a height of 400 km above the surface. ...

    Text Solution

    |

  20. Two stars each of one solar mass (= 2 xx 10^(30) kg)   are approaching...

    Text Solution

    |