Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

The orbital or critical velocity v_c for a satellite at a height h above the Earth's surface is given by:
Options
A v_c = √(GM_E/(R_E+h))
Correct Answer
B v_c = √(2GM_E/(R_E+h))
C v_c = √(GM_E/(R_E+h)²)
D v_c = √(2g_E R_E)
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).

Question Info