If a person weighs 500 N on Earth, what would she weigh on Jupiter, where the acceleration due to gravity is 26 m/s2?

Question

If a person weighs 500 N on Earth, what would she weigh on Jupiter, where the acceleration due to gravity is 26 m/s2?  
Show all work leading to your answer.

Jai · Accepted Answer

First, we solve for the mass of the person. Because mass of any object is not changing or constant. We use the formula for weight:
W = mg
where
W = weight (N)
m = mass (kg)
g = acceleration due to gravity = 9.8 m/s^2

substituting,
500 = m*(9.8)
m = 500/9.8
m = 51.02 kg

Since g = 26 m/s^2 in Jupiter,
W = mg
W = 51.02 kg * 26 m/s^2
W = 1326.5 N

hope this helps~ `u`