fargoth
- 318
- 6
im a private teacher now for first year students... and today my student asked me a question i didnt know the answer to... so i said i'll look it up, but I am going out with friends 
so if you could help and save me the time id really appreciate it.
the problem is finding the maximum radius of an eliptic route.
we know the tangential speed of the body at the point of the minimal radius.
so according to the advertised solution for the problem, the equation should be:
[tex]\frac{mv_{max}^2}{2}-\frac{A}{R_{min}}=\frac{(mv_{max}R_{min})^2}{2mR_{max}^2}-\frac{A}{R_{max}}[/tex]
but we couldn't understand why it was [tex]E_k+U=U_{eff}[/tex] and not [tex]E_k+U_{eff}(R_{min})=U_{eff}(R_{max})[/tex]
so if you could help and save me the time id really appreciate it.
the problem is finding the maximum radius of an eliptic route.
we know the tangential speed of the body at the point of the minimal radius.
so according to the advertised solution for the problem, the equation should be:
[tex]\frac{mv_{max}^2}{2}-\frac{A}{R_{min}}=\frac{(mv_{max}R_{min})^2}{2mR_{max}^2}-\frac{A}{R_{max}}[/tex]
but we couldn't understand why it was [tex]E_k+U=U_{eff}[/tex] and not [tex]E_k+U_{eff}(R_{min})=U_{eff}(R_{max})[/tex]
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