Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

The free fall acceleration on the surface of Mars is 3.7 m/s². Determine the radius and the average density of Mars.
Options
A 3.4 × 10⁶ m and 3.9 g/cm³
Correct Answer
B 2.4 × 10⁶ m and 9.9 g/cm³
C 8.4 × 10⁶ m and 33.9 g/cm³
D 34 × 10⁶ m and 33 g/cm³
Correct Answer

Option A is the correct answer.

Detailed Explanation

Using g = GM/R² and M = (4/3)πR³ρ, we get g = (4/3)πGρR. With known values, Mars radius ≈ 3.4 × 10⁶ m and density ≈ 3.9 g/cm³.

Hint

Relate g, R, and ρ through g = (4/3)πGρR.

Question Info