SOLUTION: Hello, I recently asked a question regarding Newton's Synthesis and the tutors told me that G=v^2*r/M. I would appreciate it very much if you can tell me how to solve for v^2 usin

Question 1141734: Hello,
I recently asked a question regarding Newton's Synthesis and the tutors told me that G=v^2*r/M. I would appreciate it very much if you can tell me how to solve for v^2 using the equations below. Here is the original equations that I submitted:
G*Mm/r^2=mv^2/r
Equation for the force of gravity=Equation for centripetal force. I am asked to solve for v^2
Thank you!

Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Same approach. factor an m/r from both or take the equation above and multiply both sides by M/r
GM/r=v^2
Answer by ikleyn(52830) (Show Source): You can put this solution on YOUR website!
.

It was just answered under this link

https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.1141727.html

https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.1141727.html

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