MEDIUM
NEET
IMPORTANT
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Three identical point masses, each of mass 1 kg, lies in the x-y plane at points (0, 0) (0, 0.2 m) and (0.2 m, 0). The gravitational force on the mass at the origin (0, 0) is,

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Important Questions on Gravitation

MEDIUM
NEET
IMPORTANT
Three particles, each of mass M, are situated at the vertices of an equilateral triangle of side a. The only forces acting on the particles are their mutual gravitational forces. It is desired that each particle moves in a circle while maintaining their original separation a. The initial velocity that should be given to each particle and the time period of circular motion, respectively, are,
HARD
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IMPORTANT
Four particles, kept on the vertices of a square, of equal mass M move along a circle of radius R under the action of their mutual gravitational attraction. The speed of each particle is,
MEDIUM
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IMPORTANT
If two spheres of same masses and radii are brought in contact, then the force of attraction between them will be proportional to,
MEDIUM
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IMPORTANT
Two particles of equal masses 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,
EASY
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IMPORTANT
Assuming the earth to be a homogeneous sphere of radius R, its density in terms of G (constant of gravitation) and g (acceleration due to gravity on the surface of the earth) is,
MEDIUM
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IMPORTANT
The altitude at which acceleration due to gravity decreases by 0.1% approximately is (radius of the earth=6400 km),
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IMPORTANT

Spot the wrong statement:

The acceleration due to gravity g decreases if,

EASY
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IMPORTANT
The radius of moon is 14 times that of the earth and its mass is 180 times that of the earth. If g represents the acceleration due to gravity on earth, then its value on the surface of moon is,