The radius of the Moon is one-fourth that of the Earth,and its mass is 1.3 percent of the Earth's mass.If you were standing on the surface of the Moon,what would your weight be?
A)20% of Earth weight
B)50% of Earth weight
C)2% of Earth weight
D)200% of Earth weight

Question

Quizplus · Accepted Answer

The gravitational force (weight) on an object is directly proportional to the mass of the body (in this case, the Moon) and inversely proportional to the square of the radius. Since the Moon's mass is 1.3% (or 0.013) of the Earth's and its radius is 1/4 of the Earth's, the weight of an object on the Moon would be $0.013 \times (4^2) = 0.013 \times 16 = 0.208$, or approximately 20% of its weight on Earth.

The Radius of the Moon Is One-Fourth That of the Earth,and