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If acceleration due to gravity at distance d[<R] from the centre of earth is $\beta$, then its value at distance d above the surface of earth will be [where R is radius of earth]

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Important Questions on Gravitation

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Gravitational potential in a region is given by V=-(x+y+z)J kg-1. Find the gravitational intensity at (2, 2, 2)m.
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A body weighs 72 N on surface of the earth. When it is taken to a height of h=2R, where R is radius of earth, it would weigh
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If earth suddenly stop rotating, then the weight of an object of mass m at equator will [ω is angular speed of earth and R is its radius]
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During motion of a man from equator to pole of earth, its weight will (neglect the effect of change in the radius of earth)
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As we go from the equator to the poles, the value of g _____.
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What should be the angular speed with which the earth have to rotate on its axis so that a person on the equator would weigh 35th as much as present?
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Four particles of equal mass are moving round a circle of radius r due to their mutual gravitational attraction. Find the angular velocity of each particle.
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A body is projected vertically upwards with a speed of GMR ( M is mass and R is radius of earth). The body will attain a height of