Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

What is the acceleration due to gravity on the surface of the moon if the mass of the moon is 1/80 that of Earth and its radius is one-fourth that of Earth?
Options
A 16 GMe/81Re^2
B GMe/5Re^2
Correct Answer
C GMe/Re^2
D GMe/Re
Correct Answer

Option B is the correct answer.

Detailed Explanation

g_moon = G(M_earth/80) / (R_earth/4)^2 = GM_earth/(80) * (16/R_earth^2) = (16/80) * (G M_earth/R_earth^2) = (1/5) g_earth. So g_moon = GMe/(5Re^2).

Hint

Use g = GM/R^2 and substitute given fractions.

Question Info