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

1. mgR
2. 2 mgR
3. 1/2 mgR
4. 3/2 mgR

Correct answer: 2 mgR

Solution

The work done to raise a mass m to a height equal to the Earth's radius R is calculated using the gravitational potential energy difference: W = GMm/R - GMm/(2R) = (1/2)GMm/R. Substituting g = GM/R², we get W = 2mgR.

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