A planet with mass m, and radius r .

AI Thread Summary
The discussion clarifies the formula for calculating the acceleration due to gravity on the surface of a planet, specifically using the mass and radius of that planet. The correct formula is g = G*M/R^2, where g is the gravitational acceleration, M is the mass of the planet, and R is its radius. There was initial confusion regarding the use of Earth's mass instead of the planet's mass, which was resolved. Participants emphasized that the mass of the planet in question is essential for the calculation. Ultimately, the focus remained on how to accurately apply the formula to determine gravitational acceleration for "Planet X."
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A planet with mass m, and radius r...

what is the acceleration due to gravity on the surface of the planet?

a = Gm/r^2

correct?

I'm pretty sure I'm right, but I will sleep better if someone can confirm this :smile:

thanks
 
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Thats fine, just make sure m is the mass of the earth, not the object.
 
good thing i asked :)

so the mass of the planet (not earth) doesn't matter at all?
 
You were asking about the acceleration of an object in Earth's gravitational field, which is only dependant on the mass of the Earth and the object's distance from the earth.

What is this other planet you mention? There are no planets near the surface of the earth.. atleast that i know of
 
whozum said:
You were asking about the acceleration of an object in Earth's gravitational field, which is only dependant on the mass of the Earth and the object's distance from the earth.

What is this other planet you mention? There are no planets near the surface of the earth.. atleast that i know of


sorry, just want to make sure we're clear here. I think there might be a misunderstanding.

Lets call the planet: "Planet X"

I am given the mass and radius of Planet X. I want to find out the acceleration due to gravity on the surface of Planet X.


Now I thought I was supposed to use the mass of planet X, not earth, since Earth doesn't have anything to do with the question
 
Sorry, my misunderstanding. You are completely correct.
 
Put in a nutshell:

g = G\frac{M}{R^2},

where g is the free fall acceleration at the surface of the planet,
M is the mass of the planet,
and R is the radius of the planet.
 
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