Gravitational PEHardQuestion 6244
Question
Energy required to move satellite from orbit r₁ to r₂ (r₂ > r₁):
- AGMm(1/r₁−1/r₂)/2Correct
- BGMm(1/r₁−1/r₂)
- CGMm(1/r₂−1/r₁)/2
- D0
Correct answer
GMm(1/r₁−1/r₂)/2
Explanation
ΔE = E₂−E₁ = −GMm/2r₂ − (−GMm/2r₁) = GMm(1/r₁−1/r₂)/2 = GMm(1/r₁−1/r₂)/2.