Question

which is directly proportional to your weight on a planets surface? a. only the mass of the planet b. only your mass c. your mass and the mass of the planet d. the distance from the surface to the center of the planet

Explanation:

Step1: Recall the formula for gravitational force (weight)

The formula for the gravitational force \(F = G\frac{Mm}{r^{2}}\), where \(G\) is the gravitational constant, \(M\) is the mass of the planet, \(m\) is your mass, and \(r\) is the distance from the center of the planet to its surface.

Step2: Analyze the proportionality

From the formula \(F = G\frac{Mm}{r^{2}}\), we can see that \(F\) (weight) is directly proportional to \(M\) (mass of the planet) and \(m\) (your mass) when \(r\) is constant (on the planet's surface).

Answer:

C. Your mass and the mass of the planet