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If the distance between the centres of Earth and Moon is D and mass of Earth is 81 times that of Moon, At what distance from the centre of Earth gravitational field will be zero?

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Important Questions on Gravitation

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Beta Question Bank for Engineering: Physics>Chapter 11 - Gravitation>Exercise-1>Q 4
The radius of the earth is about 6400 km and that of the mars is 3200 km. The mass of the earth is about 10 times mass of the mars. An object weighs 200 N on the surface of the earth. Its weight on the surface of the mars will be
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Beta Question Bank for Engineering: Physics>Chapter 11 - Gravitation>Exercise-1>Q 5
Weight of a body of mass m decreases by 1% when it is raised to a height h above the earth's surface. If the body is taken to same distance h below in a mine, then its weight will
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Beta Question Bank for Engineering: Physics>Chapter 11 - Gravitation>Exercise-1>Q 6
Imagine a new planet having the same density as that of the earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is g and that on the surface of new planet is g', then
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Beta Question Bank for Engineering: Physics>Chapter 11 - Gravitation>Exercise-1>Q 7
An object weighs 10 N at the north pole of the Earth. In a geostationary satellite distance 7R from the centre of the Earth (of radius R ), the true weight and the apparent weight are-
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Beta Question Bank for Engineering: Physics>Chapter 11 - Gravitation>Exercise-1>Q 8
The rotation of the earth having radius R about its axis speeds up to a value such that a man at latitude angle 60° feels weightlessness. The duration of the day in such a case is
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Beta Question Bank for Engineering: Physics>Chapter 11 - Gravitation>Exercise-1>Q 9
A man of mass m starts falling towards a planet of mass M and radius R. As he reaches near to the surface, he realizes that he will pass through a small hole in the planet. As he enters the hole, he seen that the planet is really made of two pieces a spherical shell of negligible thickness of mass 2M3 and a point mass M3 at the centre. Change in the force of gravity experienced by the man is :
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Beta Question Bank for Engineering: Physics>Chapter 11 - Gravitation>Exercise-1>Q 10
A body attains a height equal to the radius of the Earth when projected from Earth' surface. The velocity of the body with which it was projected is :-
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Beta Question Bank for Engineering: Physics>Chapter 11 - Gravitation>Exercise-1>Q 11

If the gravitational acceleration at surface of Earth is g, then increase in potential energy in lifting an object of mass m to a height equal to the radius R of Earth will be:-