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

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SUMMARY

The gravity of a planet with twice the radius and three times the mass of Earth can be calculated using the gravitational force equation. The equation used is F = G(3(m1))(m2)/(2r)^2, where m1 is Earth's mass and r is Earth's radius. A user calculated the weight of a person weighing 540N on Earth to be approximately 793.18N on this hypothetical planet. The calculation highlights the importance of correctly applying the radius in the denominator as (2r)^2.

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  • Understanding of gravitational force equations
  • Familiarity with the concepts of mass and radius in physics
  • Knowledge of the gravitational constant (G)
  • Basic algebra skills for manipulating equations
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  • Learn about the implications of mass and radius on gravitational acceleration
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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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