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Following curve shows the variation of intensity of gravitational field with distance from the centre of solid sphere(r) :
(a)
(b)
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Important Questions on Gravitation
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Suppose the acceleration due to gravity at the earth’s surface is 10m/s2 and at the surface of mars it is 4.0 m/s2. A 60kg passenger goes from the earth to the mars in a spaceship moving with a constant velocity. Neglect all other objects in the sky. Which part of figure best represent the weight (Net gravitational force) of the passenger as a function of time :
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Assume that a tunnel is dug through earth from North pole to south pole and that the earth is a non-rotating, uniform sphere of density . The gravitational force on a particle of mass m dropped into the tunnel when it reaches a distance r from the centre of earth is :
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Mars has a diameter of approximately of that of earth and mass of of that of earth. The surface gravitational field strength on mars as compared to that on earth is greater by a factor of:-
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Three equal masses of each are placed at the vertices of an equilateral triangle and a mass of is placed at the centroid of the triangle which is at a distance of from each of the vertices of the triangle. The force, in newton, acting on the mass of is:
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Acceleration due to gravity at the centre of the earth is _____.
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The value of ’g’ on earth surface depends :-
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The value of ’g’ reduces to half of its value at surface of earth at a height ’h’, then :-
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At some planet ’’ is . If it is safe to jump from a height of on earth, then what should be corresponding safe height for jumping on that planet :