If the radius of the Earth somehow decreased with no change in mass, your weight would
A) not change.
B) increase.
C) decrease.

Question

Quizplus · Accepted Answer

Weight is determined by the gravitational force exerted on an object. The formula for gravitational force is $F = G \frac{m_1 m_2}{r^2}$, where $F$ is the gravitational force, $G$ is the gravitational constant, $m_1$ and $m_2$ are the masses of the two objects, and $r$ is the distance between their centers. If the Earth's radius decreases while its mass remains the same, the distance $r$ between the center of the Earth and an object on its surface decreases. Since $r$ appears in the denominator of the equation, a smaller $r$ results in a larger force, meaning your weight would increase.

If the Radius of the Earth Somehow Decreased with No