an object’s weight on a planet is directly proportional to the mass of that planet and inversely proportional to the square of the radius of the planet. jupiter is 318 times as massive as Earth and has a radius 11 times as large as that of Earth. if Gordon weighs 100 pounds on Earth, how many pounds would he weigh on jupiter?

100 * 318 / 11^2

i dont know. what is the answer ?

To find out how many pounds Gordon would weigh on Jupiter, we need to apply the given information about the relationships between mass, radius, and weight.

Let's call Gordon's weight on Jupiter Wj, and his weight on Earth We.

According to the given information:
1. Weight is directly proportional to the mass of the planet: Wj ∝ Mj
2. Weight is inversely proportional to the square of the radius of the planet: Wj ∝ 1/Rj^2

Given that:
- Mj = 318 * Me (mass of Jupiter is 318 times the mass of Earth)
- Rj = 11 * Re (radius of Jupiter is 11 times the radius of Earth)
- We = 100 pounds (weight of Gordon on Earth)

To find Wj, we can set up a proportion using the given relationships:

Wj / We = (Mj / Me) * (1 / (Rj^2 / Re^2))

Now we can substitute the given values:

Wj / 100 = (318 * Me / Me) * (1 / (11^2 * Re^2 / Re^2))

Simplifying the equation:

Wj / 100 = 318 * 1 / 11^2

Wj / 100 = 318 / 121

Wj = (318 / 121) * 100

Now we can calculate the weight of Gordon on Jupiter:

Wj ≈ 263.636 pounds

Therefore, Gordon would weigh approximately 263.636 pounds on Jupiter.