What is the gravity of a planet 2 times the radius and 3 times the mass of earth

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Homework Help Overview

The discussion revolves around calculating the gravitational force experienced by a person on a hypothetical planet that has twice the radius and three times the mass of Earth. Participants are exploring the implications of these parameters on gravitational acceleration.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to apply the gravitational force equation, questioning how to correctly incorporate the mass and radius of the planet. There is also a focus on clarifying the initial problem statement and the specific equation being used.

Discussion Status

The discussion is active, with participants providing insights into their calculations and questioning each other's approaches. There is an ongoing examination of the gravitational force equation and its application to the problem, but no consensus has been reached on the correct interpretation or outcome.

Contextual Notes

Participants are working with a specific scenario involving a person's weight on Earth and how it translates to the hypothetical planet. There is mention of multiple choice questions that may influence the direction of the discussion.

cmbswim89
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what is the gravity of a planet 2 times the radius and 3 times the mass of earth
 
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cmbswim89 said:
what is the gravity of a planet 2 times the radius and 3 times the mass of earth
Hello cmbswim89. Welcome to PF !

Do you mean, "What is the acceleration due to gravity on the surface of a planet 2 times the radius and 3 times the mass of earth?"

Show us what you have tried, and where you're stuck so we can help you.
 


well the problem states a person weighs 540N on Earth and asks how much he weighs on a planet 2 times the radius and 3 times the mass. i have tried putting that data into the gravitational force equation but multiplying Earth's mass by 3 and radius by 2 but i don't get any of the multiple choice questions i have
 


cmbswim89 said:
well the problem states a person weighs 540N on Earth and asks how much he weighs on a planet 2 times the radius and 3 times the mass. i have tried putting that data into the gravitational force equation but multiplying Earth's mass by 3 and radius by 2 but i don't get any of the multiple choice questions i have
What equation are you putting the mass & radius into ?

What do you get?
 


F=G(3(m1))(m2)/2r2 so it looks like that with m1 as Earth's mass and r as Earth's radius and i get 793.18N
 


cmbswim89 said:
F=G(3(m1))(m2)/2r2 so it looks like that with m1 as Earth's mass and r as Earth's radius and i get 793.18N

Are you using (2r)2 or 2(r2) in the denominator?
 
sr^2 sorry
 

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