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Two astronauts are floating in gravitational free space after having lost contact with their spaceship. The two will

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Important Questions on Gravitation

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The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B and C are KA, KB and KC respectively. AC is the major axis and SB is perpendicular to AB at the position of the Sun S as shown in the figure. Then

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If the mass of the Sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following is not correct? 
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Two spherical bodies of mass M and 5M and radii R and 2R released in free space with initial separation between their centres equal to 12R If they attract each other due to gravitational force only, then the distance covered by the smaller body before collision is 
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The height at which the acceleration due to gravity becomes g/9 (where g= the acceleration due to gravity on the surface of earth) in terms of R, the radius of the earth is
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Two bodies of masses M and 4M Are placed at a distance r. The gravitational potential at a point on the line joining them where the gravitational field is zero is.
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Two particles of equal mass m go around a circle of radius R under the action of their mutual gravitational attraction. The speed of each particle with respect to their centre of mass is
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What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass  M and radius R in a circular orbit at an altitude of 2R?

 

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Four particles, each of mass M and equidistant from each other, move along a circle of radius R under the action of their mutual gravitational attraction. The speed of each particle is,