Solving for V in mgh=1/2mv^2+1/2mr^2(v/r)^2

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Homework Help Overview

The problem involves an equation relating gravitational potential energy and kinetic energy, specifically mgh = 1/2mv^2 + 1/2mr^2(v/r)^2. The original poster seeks assistance in solving for the variable v, expressing difficulty with the algebra involved.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss algebraic manipulation, including a hint regarding the simplification of the term (v/r)^2 and the possibility of dividing by m if it is consistent on both sides of the equation. The original poster expresses confusion and seeks further clarification.

Discussion Status

Some participants have offered hints and resources for learning algebra, while the original poster continues to seek additional help and expresses frustration with the material. There is no explicit consensus on a method to solve the equation, but suggestions for resources indicate a productive direction for further exploration.

Contextual Notes

The original poster mentions being stuck on algebra, indicating a potential gap in foundational knowledge that may affect their ability to engage with the problem effectively.

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Homework Statement



mgh=1/2mv^2+1/2mr^2(v/r)^2

I need to solve for v, I'm really stuck on Algebra can anyone show me the steps I'd take to solve for V?

Thanks

Homework Equations





The Attempt at a Solution



Tried thinking it through but I'm getting stuck :( :(
 
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Here's a hint:

(\frac{v}{r})^2 = \frac{v^2}{r^2}

also, if the variable m on the left hand side of the equation is the exact same m as on the right side, you can divide both sides by m to get rid of it.
 
Thanks for the help i'll try it, anyone know of resources that help you learn Algebra like this, it's really confusing to me.

Thanks
 
Try this site: http://www.wtv-zone.com/Angelaruth49/Algebra.html

teaches some basic algebra.
 
Cool thank you, And does anyone know a good site to learn Physics it's all going over my head in class.
 
google.
 
Sorry to bash on Physics websites but so far every Physics site I've found has had terrible design, poor teaching and organization. (similar to my teaching) With the exception of this site. (Best Physics Site I've found). I've found great resources for learning on every other subject through Google except for Physics.
 

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