If the acceleration due to gravity at the surface of earth is $$g,$$ the work done in slowly lifting a body of mass $$m$$ from the earth's surface to a height $$R$$ equal to the radius of the earth is:
1. $$\frac 12$$$$mgR$$
2. $$2mgR$$
3. $$mgR$$
4. $$\frac 14$$$$mgR$$

Subtopic:  Gravitational Potential Energy |
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A person brings a mass of 1 kg from infinity to a point A. Initially, the mass was at rest but it moves at a speed of 2 m s–1 as it reaches A. The work done by the person on the mass is –3 J. The potential at A is:

1. –3 J/kg–1

2. –2 J/kg–1

3. –5 J/kg–1

4. none of these

Subtopic:  Gravitational Potential Energy |
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The magnitude of gravitational potential energy of the moon-earth system is U with zero potential energy at infinite separation. The kinetic energy of the moon with respect to the earth is K.

1. U < K

2. U > K

3. U = K

4.

Subtopic:  Gravitational Potential Energy |
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