Calculating Orbit Radius from Mass & Period

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Homework Help Overview

The discussion revolves around calculating the orbital radius of an object around Earth using its mass and orbital period, as well as exploring concepts related to kinetic and potential energy in different contexts, including orbital mechanics.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between kinetic and potential energy, particularly in the context of an object leaving the Earth's surface and reaching maximum height. Questions arise about the energy transformations that occur during this process and how to apply relevant equations.

Discussion Status

There is an ongoing exploration of various equations and concepts related to energy in motion and gravitational effects. Some participants have shared resources and equations, while others are questioning the assumptions about energy states in different scenarios, such as in orbit.

Contextual Notes

Participants are navigating through multiple interpretations of energy conservation in gravitational fields, particularly in the context of orbital mechanics and varying gravitational acceleration. There are references to specific equations and external resources that may not be fully understood by all participants.

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How do you find an orbital radius of an object around Earth with its mass and Orbital Period?
 
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Awsome, thanks man. Some of these equations I've never seen before help a lot lol
 
Never doubt the power of Mr.Google! :-p

:smile:
 
Kenetic/Potential Energy

When an object eaves the surface of the ground with a certain amount of Kenetic Energy and reaches a max height what does the Potential energy equal to?

I know the equation Ep = -Gmm/r but the question says it leaves the surface with 15 J of Kenetic energy.
 
When it reaches a max height, what happens to the kinetic energy?
 
It equals 0?

Does that mean potential energy is equal to it? or negative?
 
The potential energy at its max height is equal to the amount of kenetic energy the object has just after it leaves the ground
 
What about in orbit? How do you solve for Ep when you have Ek if you know the acceleration due to gravity and the mass?
 
Last edited:
  • #10
In orbit with constant velocity? or is it accelerating? In space, there is no acceleration due to gravity because there is no gravity.
 
  • #11
Its orbiting the earth, and is at a point where gravity is equal to .233 m/s²
 
  • #12
I believe the equation you're looking for is:
Gravitational Potential Energy U = mg ( yf - yi ) = mg y

However, I'm not quite sure what you're asking
 

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