Beginner Physics: Solving G Constant on Planets

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Homework Help Overview

The discussion revolves around calculating the gravitational constant (g) on a hypothetical planet that shares Earth's density but has double the radius. Participants are exploring the implications of these parameters on gravitational force.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss using the gravitational force equation and consider how to relate mass and density to the problem. There are questions about whether the mass of the planet can be assumed equal to Earth's mass due to the same density, and how the radius affects the calculations.

Discussion Status

Some participants have offered initial thoughts on how to approach the problem, including setting equations and considering the relationship between density, mass, and radius. There is an acknowledgment of uncertainty and a request for further clarification or guidance.

Contextual Notes

There are indications that participants are unsure about the assumptions regarding mass and density, as well as the specific requirements for the problem (e.g., whether a numerical answer is needed).

PhysicBeginner
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Hi, everyone I'm new to physics and I got a problem that I can't solve.
It says
"What would the g constant be on a planet that has the same density as Earth but has twice the radius?"

Can someone help me on this. Also can someone tell me if I'm suppose to use the equation: Fg=Gm1m2/d(square)?
 
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I'm new to physics too (so don't take my word for this, lol), but my guess is you set that equation above equal to ma, or in this case mg...

so mg = G m1 m2/ r^2, then the masses of the object on the planet cancel out so g = G m (planet)/ (2r)^2

since the radius is twice that of Earth its just 2r..then plug in the values of G and r, and I'm not sure about mass of planet. if the densities are the same, are the masses are the same? if they are, then just plug in the mass of earth...and calculate g

hope this helps a bit until someone smarter comes along, lol
 
Thanks for the tips, now i think I'm getting some of it.
 
PhysicBeginner said:
Hi, everyone I'm new to physics and I got a problem that I can't solve.
It says
"What would the g constant be on a planet that has the same density as Earth but has twice the radius?"
Can someone help me on this. Also can someone tell me if I'm suppose to use the equation: Fg=Gm1m2/d(square)?

If its looking for a numerical answer, I'd find the average density of Earth, find the radius, double the radius, then find the amount of mass that fits in that radius, and put all our new data for the imaginary Earth into the equation you cited at the end.
 

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