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

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SUMMARY

The discussion centers on solving the equation mgh = 1/2mv^2 + 1/2mr^2(v/r)^2 for the variable v. Key steps include recognizing that the mass m can be canceled from both sides of the equation, simplifying the equation to focus on the terms involving v. The hint provided indicates that (v/r)^2 can be rewritten as v^2/r^2, which is crucial for further manipulation. The user also seeks additional resources for learning Algebra and Physics, highlighting a need for better educational tools in these subjects.

PREREQUISITES
  • Understanding of basic algebraic manipulation
  • Familiarity with physics concepts such as potential and kinetic energy
  • Knowledge of the equation of motion involving mass and velocity
  • Ability to simplify equations by canceling common factors
NEXT STEPS
  • Study algebraic techniques for solving quadratic equations
  • Learn about energy conservation principles in physics
  • Explore online resources for Algebra, such as Khan Academy
  • Investigate reputable Physics educational websites for structured learning
USEFUL FOR

Students struggling with Algebra and Physics concepts, particularly those needing assistance in solving equations involving energy and motion. This discussion is beneficial for high school and college students seeking to improve their problem-solving skills in these subjects.

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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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