4. 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.
@iambatman
Any idea? What equations can be used.
Hint: Your weight changes on the planets, but your mass stays the same.
yeah M=Fe/Ge
Yes, F = ma, so solve for the mass, and then use the same formula again for the weight on Jupiter.
Weight = Force
so would it look like this 500 N /26 m/s2
No because 500N is the weight on Earth
What is the acceleration on earth?
9.8m/s/s
Yes, I should specify acceleration due to gravity. 9.8m/s^2
So you have the force and gravity, now solve for m on earth.
so 500N i will multiply by 26m/s2
No, why are you doing that? 500N is your weight on Earth, but you keep using Jupiter's acceleration due to gravity.
Find the mass, using Fearth = m*gearth
oh ok Fj=m*g
Yeah, but you need to find the mass first.
Mass doesn't change, weight does.
\[F_{earth} = ma \implies F _{earth}=mg_{earth}\] solve for m.
F = Mg g = 9.81 m/sec^2 on earth g = 26 m/sec ^2 on Jupiter Woman's weight on Jupiter = 500/9.81 * 26 =1325.18 N
is that corrrect
Yeah that's correct, but I hope you understand what is going on in that equation.
thanks for the help
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