Suppose Earth collapsed down to one- hundredth [1/100] of its present radius. How would this affect your weight? Your weight would be
A) increased by a factor of 100.
B) unchanged.
C) increased by a factor of 10,000.
D) reduced by a factor of 100.
E) increased by a factor of 1000.

Question

Quizplus · Accepted Answer

Your weight would increase by a factor of 10,000 because gravitational force is inversely proportional to the square of the radius. If the radius is reduced to 1/100, the gravitational force, and thus your weight, would increase by (1/0.01)^2 = 10,000 times.

Suppose Earth Collapsed Down to One- Hundredth [1/100] of Its