Gravitation Tes...

The heavier block in an Atwood machine has a mass twice that of the lighter one. The tension in the string is $$16.0\ N$$ when the system is set into motion. Find the decrease in the gravitational potential energy during the first second after the system is released from rest.

$$g_e$$ and $$g_p$$ denote the acceleration due to gravity on the surface of earth and another planet whose mass and radius are twice that of the earth, then

A man weighs $$100\ kg$$ on the surface of the earth of radius $$R$$. At what height above the surface of the earth, he will weigh $$50\ kg$$?

If the mass and radius of a planet are doubled, then acceleration due to gravity on its surface will become :

At what height the acceleration due to gravity will be reduced to $$36\%$$ of its value on the surface of the earth?

The decrease in the value of g at height h from earth's surface is

A body is projected with a velocity double the escape velocity. The velocity of the body after it escape the gravitational field of the earth is:

The Moon to orbits Jupiter once in $$1.769$$ days. The orbital radius of the Moon to is $$421700$$ km. Calculate the mass of Jupiter?

If the radius of earth's orbit is made $$1/4th$$, the duration of an year will become

A narrow tunnel is dug across a planet diametrically and small bod is dropped from a large height, so that it falls the tunnel. The variation of its kinetic energy 'E' with distance r, from the centre is represented by: