The largest and the shortest distance of the earth from the sun are r1 and r2. Its distance from the sun when it is perpendicular to the major axis of the orbit drawn from the sun is
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
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
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 satellite of mass m is orbiting around the earth in a circular orbit with a velocity v. What will be its total energy?
3/4 mv2
1/2 mv2
mv2
- (1/2)mv2
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
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
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
2R
4R
R/2
R/4
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?
The escape velocity from earth is 11.2 km/s. If a body is to be projected in a direction making an angle 45o to the vertical, then the escape velocity is
11.2 × 2 km/s
11.2 km/s
11.2/√2 km/s
11.2√2 km/s