Gravitational Potential Energy

A body of mass is taken from the Earth’s surface to the height equal to twice the radius of the Earth. The change in potential energy of the body will be:

1.		2.
3.		4.

A ball is thrown vertically downward from a height of with an initial velocity It collides with the ground, loses of its energy in a collision, and rebounds to the same height. The initial velocity is:
(Take, )

1.		2.
3.		4.

A satellite of mass is orbiting the earth (of radius ) at a height from its surface. What is the total energy of the satellite in terms of
( is the value of acceleration due to gravity at the earth's surface)

1.		2.
3.		4.

A body initially at rest and sliding along a frictionless track from a height (as shown in the figure) just completes a vertical circle of diameter The height is equal to:

1.		2.
3.		4.

The work done to raise a mass from the surface of the earth to a height , which is equal to the radius of the earth, is:

1.		2.
3.		4.

A mass is attached to a thin wire and whirled in a vertical circle. The wire is most likely to break when:

1.	inclined at an angle of from vertical.
2.	the mass is at the highest point.
3.	the wire is horizontal.
4.	the mass is at the lowest point.

A particle is released from a height of above the surface of the earth. At a certain height, its kinetic energy is three times its potential energy. The distance from the earth's surface and the speed of the particle at that instant are respectively:

1.		2.
3.		4.