Question Detail
Question
The orbital or critical velocity v_c for a satellite at a height h above the Earth's surface is given by:
Correct Answer
Option A is the correct answer.
Detailed Explanation
For a stable circular orbit, the gravitational force provides the necessary centripetal force: GM_E m/(R_E+h)² = m v_c²/(R_E+h). Solving for v_c gives v_c = √(GM_E/(R_E+h)).
Hint
Set the centripetal force (mv²/r) equal to the gravitational force (GMm/r²).