Gravitational Fields and Centripetal motion

Click For Summary
SUMMARY

The equation GMm/R^2 = v^2/R accurately describes the relationship between gravitational force and centripetal motion in scenarios such as satellite and planetary orbits. The left side represents the gravitational force acting on an object, while the right side denotes the centripetal force required to maintain circular motion. It is essential to include mass (m) on the right side to ensure the equation correctly represents acceleration as a force. This relationship is fundamental in understanding how gravitational fields influence objects in circular motion.

PREREQUISITES
  • Understanding of Newton's Law of Universal Gravitation
  • Familiarity with centripetal force concepts
  • Basic knowledge of circular motion dynamics
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the derivation of Newton's Law of Universal Gravitation
  • Explore the principles of centripetal acceleration in detail
  • Investigate the effects of gravitational fields on satellite motion
  • Learn about the applications of these concepts in astrophysics
USEFUL FOR

Physics students, educators, and anyone interested in the dynamics of gravitational fields and their effects on circular motion.

BlueCardBird
Messages
25
Reaction score
0
Just wondering if this statement is true, GMm/R^2=v^2/R
 
Physics news on Phys.org
It can be. Like most equations, it applies to some things and not others.
 
Yes it applies when circular motion is caused by Gravitation as in satellite or planetary motion. The right side is the Centripetal Force representing the reason the object is not moving linearly due to inertia.
You did forget the m for mass on the right side needed to make the acceleration a Force.
 

Similar threads

High School Why do we feel gravitational acceleration from the Earth and not from the Sun?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Why can centripetal force balance out gravity?
  • · Replies 23 ·
Replies
23
Views
3K
Undergrad Gravitational field in Galilean relativity
  • · Replies 5 ·
Replies
5
Views
1K
Undergrad Origin of Centripetal force when the net force toward the center is 0?
  • · Replies 8 ·
Replies
8
Views
3K
High School Confusion while trying to build intuition of centripetal force
  • · Replies 15 ·
Replies
15
Views
4K
Undergrad When Does an Object Experience Only Centripetal Acceleration in Circular Motion?
  • · Replies 2 ·
Replies
2
Views
2K
High School Gravitational acceleration in circular motion
  • · Replies 2 ·
Replies
2
Views
2K
High School Why is speed constant when centripetal acceleration is constant?
  • · Replies 24 ·
Replies
24
Views
4K
Undergrad The centripetal acceleration of the planets in our solar system
  • · Replies 19 ·
Replies
19
Views
4K
High School Does weight affect the acceleration of an object?
  • · Replies 9 ·
Replies
9
Views
2K