Electric Potential problem escape veloctiy.

AI Thread Summary
The discussion focuses on solving an electric potential problem related to escape velocity. The user attempts to calculate the initial velocity using the equation Vi = sqrt(2/m * ((K*1.5nC*e/.005m) + (K*1.5nC*e/.005m))). They find their initial result too large and consider adjusting the equation by changing 2/m to 1/m and dividing the final answer by 2, which brings it closer to the expected value. The key point is ensuring the kinetic energy matches the electric potential energy of the proton, which is positioned equidistantly between two equal charges. Accurate calculation of electric potential energy is emphasized as crucial for determining the correct velocity.
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Homework Statement



http://www.phy.mtu.edu/~gagin/2200/textfiles/ph2200-ex2-f05.pdf
#23

Homework Equations



My attempt at the equation:
Vi = sqrt(2/m * ((K*1.5nC*e/.005m) + (K*1.5nC*e/.005m)))

The Attempt at a Solution



My equation gives me a value that is too large. Any help appreciated.

I noticed if I change the 2/m to 1/m and divide my final answer by 2 it is a value around the size of the answer...
 
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The kinetic energy must equal the electric potential energy (EPE) of the proton at the current position, which seems to be the approach one has taken.

Then one can determine the v from KE.

Getting the EPE correct is the key. The proton is equidistant between two equal charges.

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elepe.html
 

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