Gravitational Force: Sun vs Earth

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SUMMARY

The gravitational force exerted by the Sun on the Earth is equal to the gravitational force exerted by the Earth on the Sun, as established by Newton's third law of motion. This relationship can be quantified using the formula F = GM1M2/r^2, where G is the gravitational constant, M1 is the mass of the Sun, M2 is the mass of the Earth, and r is the distance between their centers. The symmetry in the equation confirms that both forces are identical in magnitude but opposite in direction, reinforcing the principle that every action has an equal and opposite reaction.

PREREQUISITES
  • Understanding of Newton's Law of Universal Gravitation
  • Familiarity with the gravitational constant (G)
  • Basic knowledge of mass and distance measurements in physics
  • Concept of action and reaction forces in Newtonian mechanics
NEXT STEPS
  • Calculate gravitational forces using F = GM1M2/r^2 for different celestial bodies
  • Explore the implications of gravitational forces in orbital mechanics
  • Study the concept of gravitational fields and their effects on nearby objects
  • Investigate the role of gravitational forces in astrophysics and cosmology
USEFUL FOR

Students of physics, educators teaching gravitational concepts, and anyone interested in understanding the fundamental forces governing celestial mechanics.

atomant
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Which, if either, is greater: the gravitational force of the sun on the Earth, or the Earth on the sun? How should I be looking at this question i.e in terms of the radius of each object through the equation F=GM1M2/r^2 ?
 
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atomant said:
Which, if either, is greater: the gravitational force of the sun on the Earth, or the Earth on the sun? How should I be looking at this question i.e in terms of the radius of each object through the equation F=GM1M2/r^2 ?
They're the same, i.e. wherever there is an action there is an equal and opposite reaction. You should look at the symmetry of F=GM1M2/r^2.

Pete
 
So it's the same because the G is constant or because the r^2 is the same for bothe planets?
 
Newtons third law, F=-F.
 
right, and if we were to calculate the the gravitational force exerted on the Earth by the sun we would use F=GMm/r^2.
If so I know G is constant, but what values do we substitute for the masses M and m? mass of Earth and sun?

and if we were to find the gravitational force exerted on the sun by the Earth, how do the values change?
 
Yes, use GMm/r^2. For M you use the suns mass, and for m use the Earth's mass. r^2 is the distance sun-earth. The gravitational force exerted on the Earth by the sun, is eqvivalent whit the force the Earth exerts on the sun.
Let`s say F, is the force from sun to earth. Then -F is the force from Earth to sun.
 

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