How do you compute an average mass for Jupiter?

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Homework Help Overview

The discussion revolves around calculating an average mass for Jupiter using the orbital data of its moons, Io and Europa. The problem involves understanding gravitational forces and orbital mechanics.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss using the accelerations of the moons and the gravitational force equations to find Jupiter's mass. Some express uncertainty about the sufficiency of the information provided, while others clarify the given distances.

Discussion Status

The conversation is ongoing, with some participants offering guidance on how to relate the moons' accelerations to the gravitational force. There is acknowledgment of the provided distances, but questions about the completeness of the information remain.

Contextual Notes

Participants note that the masses of the moons are not provided, which may affect the calculations. There is also a mention of the need to clarify the relationship between the moons' accelerations and the gravitational forces acting on them.

Haley Feider
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Homework Statement



Io and Europa are two of Jupiter's moons. Io orbits Jupiter at a distance of 421,000 km in a time of 1.769 days. Europa orbits Jupiter at a distance of 671,000 km in a time of 3.551 days. Compute an average mass for Jupiter.

Homework Equations


a=v^2/r

F=Fgravity=GMplanetMmoon/r^2

The Attempt at a Solution


I found the accelerations of the two moons however I have no idea how to use that to find Jupiters mass
 
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I do not think we have enough information. I could be wrong though.
 
For each moon, set its mass times acceleration equal to the force exerted on it.
 
Mister T said:
For each moon, set its mass times acceleration equal to the force exerted on it.
The problem is, the masses are not given, and nor is the distance between the moon and Jupiter.
 
The distances are given.
 
Mister T said:
The distances are given.
Yes they are. My bad.
 
thank you I will try this!
 

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