Could you calculate the mass of the planet?

  • Thread starter Thread starter demode
  • Start date Start date
  • Tags Tags
    Mass Planet
Click For Summary
SUMMARY

The discussion centers on calculating the mass of a planet using centripetal force and distance. The equation provided, Fc = (MV^2) / (R), highlights the relationship between mass (M), velocity (V), and radius (R). To derive the mass of a planet, one must consider Newton's law of universal gravitation, which relates gravitational force to mass and distance. By integrating these concepts, one can establish a method to calculate planetary mass based on centripetal force and orbital parameters.

PREREQUISITES
  • Understanding of centripetal force and its formula
  • Familiarity with Newton's law of universal gravitation
  • Basic knowledge of orbital mechanics
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study Newton's law of universal gravitation in detail
  • Learn how to derive centripetal force from gravitational force
  • Explore the concept of orbital velocity and its calculation
  • Investigate real-world applications of these principles in astrophysics
USEFUL FOR

Students of physics, astrophysicists, and anyone interested in celestial mechanics and planetary science will benefit from this discussion.

demode
Messages
30
Reaction score
0
1. If you know the distance to a planet and the centripetal force on it, could you calculate the mass of the planet? Explain.
Fc = (MV^2) / (R)

I don't even know where to start; in the equation above, you can only substitute the known centripetal force in, but you can't substitute the distance to a planet or the velocity in.. Is there another equation or expression for centripetal force that would satisfy the two variables in the prompt?
 
Physics news on Phys.org
Hint: if you assume the planet is rotating around another one (which you can, since there exists a centripetal force), which is the other force which comes to your mind? (Hint 2: Newton's law of ___________)
 

Similar threads

A planet of mass M and an object of mass m
  • · Replies 6 ·
Replies
6
Views
2K
Calculating Angle & Speed to Reach Planet's Moon from Station Orbit
  • · Replies 1 ·
Replies
1
Views
2K
Calculate magnetic dipole of other planets relative to the Earth
  • · Replies 4 ·
Replies
4
Views
2K
Find g, measured to be 9.78 at the equator, when Earth is still
  • · Replies 17 ·
Replies
17
Views
2K
Calculate the mass of a star and a planet that orbits it
  • · Replies 12 ·
Replies
12
Views
4K
Calculating Tidal Range (Gravitation)
  • · Replies 12 ·
Replies
12
Views
3K
Determine the mass of the planet using Newton’s Law of Universal Gravitation
  • · Replies 2 ·
Replies
2
Views
3K
Rearranging gravitational and centripetal equations to derive formulas
  • · Replies 3 ·
Replies
3
Views
3K
Calculating the velocity of a head-on impact between two suns
  • · Replies 6 ·
Replies
6
Views
2K
From circular orbit to elliptical orbit
  • · Replies 3 ·
Replies
3
Views
3K