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Assuming that the gravitational potential energy of an object at infinity is zero, the change in potential energy (final - initial) of an object of mass m, when taken to a height h from the surface of earth (of radius R), is given by:
- GMm / (R + h)
- GMm / R
- GMmh / (R(R + h))
- mgh
Correct answer: GMmh / (R(R + h))
Solution
The change in gravitational potential energy is derived using the formula for gravitational potential energy, U = -GMm/r. The change is ΔU = U_final - U_initial = -GMm/(R + h) - (-GMm/R), which simplifies to GMmh / (R(R + h)).
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