A second pendulum is mounted in a rocket. Its period of oscillation decreases when the rocket
Comes down with uniform acceleration
Moves round the earth in a geostationary orbit
Moves up with a uniform velocity
Moves up with uniform acceleration
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 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 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
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
For a satellite escape velocity is 11 km/s. If the satellite is launched at an angle of 60o with the vertical, then escape velocity will be
11 Km/s
11√3 Km/s
11/√3 Km/s
33 Km/s
A body attains a height equal to the radius of the earth. The velocity of the body with which it was projected is
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 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 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