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

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To solve for v in the equation mgh = 1/2mv^2 + 1/2mr^2(v/r)^2, one can simplify the equation by recognizing that the mass m can be canceled from both sides. The hint provided indicates that (v/r)^2 can be expressed as v^2/r^2, which aids in rearranging the equation. After simplifying, the focus shifts to finding reliable resources for learning algebra and physics, as the original poster expresses difficulty with the concepts. Recommendations for algebra resources include a specific website, while the search for effective physics learning materials continues, with some frustration expressed regarding the quality of available sites. The discussion emphasizes the challenges of mastering algebra and physics concepts while seeking helpful educational tools.
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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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