Suppose you are suddenly transported to a planet that had 1/4 the radius of Earth but the same mass as Earth.Your weight would ________ by a factor of ________.
A) increase; 4
B) increase; 16
C) decrease; 4
D) decrease; 16
E) decrease; 8

Question

Quizplus · Accepted Answer

Your weight would increase by a factor of 16 because gravitational force is inversely proportional to the square of the radius. If the radius is reduced to 1/4, the gravitational force increases by (1/(1/4)^2) = 16 times.

Suppose You Are Suddenly Transported to a Planet That Had