Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

The acceleration due to gravity, g, at the surface of a planet is given by the formula (where M is the planet's mass and R is its radius):
Options
A g = GMR²
B g = GM/R
C g = GM/R²
Correct Answer
D g = GR²/M
Correct Answer

Option C is the correct answer.

Detailed Explanation

From the lecture, the force on a mass m is F = mg = GMm/R². Canceling m gives g = GM/R². This is derived from equating weight to the gravitational force.

Hint

Consider the force on a mass m at the planet's surface: F = mg = GMm/R².

Question Info