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
A planet is moving in an elliptical orbit around the sun.If T, U, E and L stand for its kinetic energy, gravitational potential energy, total energy and magnitude of angular momentum about the centre of force, which of the following is correct?
T is conserved
U is always positive
E is always negative
L is conserved but direction of vector L changes continuously
The escape velocity of a sphere of mass m is given by (G = universal gravitational constant, Me = mass of earth and Re = radius of earth)
A body attains a height equal to the radius of the earth. The velocity of the body with which it was projected is
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
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
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 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?
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
2 R
4 R
R/4
R/2