Two spheres of masses m and M are situated in air and the gravitational force between them is F. The space around the masses is now filled with a liquid of specific gravity 3. The gravitational force will now be
F/3
F/9
3F
F
A body attains a height equal to the radius of the earth. The velocity of the body with which it was projected is
A body of mass m is placed on earth's surface. It is then taken from earth's surface to a height h = 3R, then the change in gravitational potential energy is
mgh/R
2/3 mgR
3/4 mgR
mgR/2
The mean radius of earth is R, its angular speed on its own axis is ω and the acceleration due to gravity at earth's surface is g. What will be the radius of the orbit of a geostationary satellite?
A ball is dropped from a satellite revolving around the earth at a height of 120km.The ball will
Continue to move with same speed along a straight line tangentially to the satellite at that time
Continue to move with the same speed along the original orbit of satellite
Fall down to earth gradually
Go far away in space
What will be the formula of the mass in terms of g, R and G? (R = radius of earth)
g2 R/G
G R2/g
G R/g
g R2/G
If the gravitational force between two object were proportional to 1/R (and not as 1/R2), where R is separation between them, then a particle in circular orbit under such a force would have its orbital speed v proportional to
1/R2
R0
R
1/R
The density of newly discovered planet is twice that of earth.The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is R, the radius of the planet would be
2 R
4 R
R/4
R/2
The escape velocity from the surface of the earth is ve. The escape velocity from the surface of a planet whose mass and radius are three times those of the earth, will be
ve
3 ve
9 ve
1/3ve
The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B. A man jumps to a height of 2m on the surface of A. What is the height of jump by the same person on the planet B?
6 m
2/3 m
2/9 m
18 m