Gravity and Height: Find the Height of a Physics Problem

  • Thread starter Thread starter NIZBIT
  • Start date Start date
  • Tags Tags
    Gravity Height
Click For Summary
SUMMARY

The discussion focuses on calculating the height in a physics problem related to gravity and orbital radius. The correct formula for the orbital radius is established as r = √2 * R, where R represents the radius of the planet. The height above the planet is derived as (√2 - 1) * R, which simplifies to approximately 0.41 * R. This clarification resolves the initial confusion regarding the definition of height in the context of the problem.

PREREQUISITES
  • Understanding of gravitational physics concepts
  • Familiarity with orbital mechanics
  • Knowledge of mathematical operations involving square roots
  • Basic comprehension of planetary radius measurements
NEXT STEPS
  • Study gravitational force equations in classical mechanics
  • Learn about orbital dynamics and Kepler's laws
  • Explore the implications of altitude on gravitational potential energy
  • Investigate the relationship between radius and height in various celestial contexts
USEFUL FOR

Students of physics, educators teaching gravitational concepts, and anyone interested in understanding orbital mechanics and height calculations in relation to planetary bodies.

NIZBIT
Messages
69
Reaction score
0
I have a problem like the one below:

https://www.physicsforums.com/showthread.php?t=114812

I understand how they derived it(I did the same thing) but never say what is the height. So could someone tell what the height is?
 
Physics news on Phys.org
In that problem, height is relative to the radius of the planet. The correct answer for THAT question should have been
[tex]r = \sqrt{2}*R[/tex].
That would be the orbital radius. The "height" would be the altitude above the planet, which would be
[tex](\sqrt{2}*R)-R[/tex]
or[tex](\sqrt{2}-1)*R[/tex]
Which happens to be equal to 0.41*R

Substitute the radius of the planet in for R and you get the "height."
 
Ok I see now. Wasn't so obvious last night.
 

Similar threads

  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 11 ·
Replies
11
Views
2K
Replies
7
Views
2K
  • · Replies 41 ·
2
Replies
41
Views
9K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 2 ·
Replies
2
Views
5K
Replies
4
Views
1K