Question Detail
Question
For a satellite in a circular orbit around the Earth, the total mechanical energy E is:
Correct Answer
Option B is the correct answer.
Detailed Explanation
For a circular orbit, K = GMm/(2r) and U = -GMm/r. Therefore, total energy E = K + U = GMm/(2r) - GMm/r = -GMm/(2r). This is negative and is indeed half of the potential energy (since U = -2K).
Hint
Substitute the expression for kinetic energy derived from F_c = F_g into E = K + U.