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Mass to be raised is m. Calculate the work done to raise the mass to height h = R.

1. GMm/R
2. GMm/(R+h)
3. GMm/(R²)
4. GMm/(R+h)²

Correct answer: GMm/R

Solution

The work done to raise a mass m to a height h = R from the surface of the Earth is equal to the change in gravitational potential energy. The formula for gravitational potential energy is U = -GMm/r. The work done is the difference in potential energy between the initial and final positions, which simplifies to GMm/R.

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