Gravitational Self EnergyHardQuestion 30756
Question
The gravitational self-energy (energy of assembly) of a uniform solid sphere (mass M, radius R) is:
- A−3GM²/5RCorrect
- B−GM²/R
- C−GM²/2R
- D3GM²/5R
Correct answer
−3GM²/5R
Explanation
Gravitational self-energy = −3GM²/5R (negative because energy is released when assembling mass from infinity). This represents the binding energy of the sphere.