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The earth is an approximate sphere. If the interior contained matter is not of the same density everywhere, then on the surface of the earth, the acceleration due to gravity

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Important Questions on Gravitation

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What will be the gravitational potential (V) at a point between two bodies of masses m and Mkept at a distance d apart, where the gravitational field due to them is zero.

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The mass of the moon is 1% of the mass of earth. The ratio of the gravitational pull of the earth on the moon to that of the moon on earth will be,
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The ratio of the weights of a body on Earth’s surface to that on the surface of a planet is 9:4 The mass of the planet is 19th of that of the Earth. If R is the radius of the Earth, what is the radius of the planet? (Take the planets to have the same mass density)
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What is the gravitational potential at a point situated at a2 distance from the centre. A particle of mass M is situated at the centre of a spherical shell of same mass and radius a.
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Four particles each of mass m are placed at the vertices of a square of side l. The potential energy of the system is
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A uniform cable of mass M and length L is placed on a horizontal surface such that its 1nth part is hanging below the edge of the surface. To lift the hanging part of the cable upto the surface, the work done should be:
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Consider two solid spheres of radii R1=1 m,R2=2 m and masses M1 and M2, respectively. The gravitational field due to sphere 1 and 2 are shown. The value of M1M2 is:

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The ratio of radii of two planets is p and the ratio of accelerations due to gravity at their surfaces is q. The ratio of escape velocities from their surfaces will be