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A uniform ring of mass is lying at a distance from the centre of a sphere of mass just over the sphere (where is the radius of the ring as well as that of the sphere). Then, the magnitude of the gravitational force between them is
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Important Questions on Gravitation
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A ring of mass and radius is fixed in space at some location. An external agent brings a point mass from infinity to the centre of the ring. Work done by the external agent will be
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Energy required in moving a body of mass from a distance to from centre of earth of mass is
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A planet of mass moves around the sun of mass in an elliptical orbit. The maximum and minimum distance of the planet from the sun are and , respectively. The time period of the planet is proportional to
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A body attains a height equal to the radius of the earth. The velocity of the body with which it was projected is
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If the mass of moon is , where is the mass of earth, find the distance of the point, where gravitational field due to earth and the moon cancel each other, from the centre of the moon. Given that distance between centres of the earth and moon is , where is the radius of the earth.
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The minimum energy required to launch a satellite from the earth's surface in a circular orbit at an altitude of where is the radius of the earth, will be
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Three point masses each of mass rotate in a circle of radius with constant angular velocity due to their mutual gravitational attraction. If at any instant, the masses are on the vertex of an equilateral triangle of side , then the value of is
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A sphere of mass and radius has a concentric cavity of radius as shown in the figure. The force exerted by the sphere on a particle of mass located a distance from the centre of a sphere varies as
