Electric potential no clue and midterm in 2 and a half hours

AI Thread Summary
The discussion revolves around calculating the initial speed a proton needs to reach the surface of an iron nucleus, using conservation of energy principles. The key equation involves equating kinetic energy to potential energy, with adjustments for the nucleus's properties. Initial calculations were incorrect due to confusion over the radius and unit conversions, but the correct approach was confirmed. Participants emphasized the importance of accurate arithmetic and unit conversion in solving the problem. The conversation also briefly shifted to a request for help with a separate problem regarding wire diameter, indicating a broader need for assistance in physics concepts.
cemar.
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Homework Statement


A proton is fired from far away toward the nucleus of an iron atom. Iron is the element number 26 and the diameter of the nucleus is 9.0fm. What initial speed does the proton need to just reach the surface of the nucleus? Assume the nucleus remains at rest.


Homework Equations


Conservation of energy which would get reduced to Ki=Uf
U=kq1q2/r
kinematic equation
K = 1/2 m v^2
Do some thing with the element number 26... has 26 protons so make a field?


The Attempt at a Solution


Oh gosh. K this is completely wrong but ill just throw it out there for kicks.
Ki=Uf
Since i don't knwo what r is since its sperical and that confuses me... ill guess you use the distance on the surface of the nucleus?
1/2mv^2 = kq1q2/r
1/2 (1.67E-27) v^2 = 9E9 (1.6E-19) (26*1.6E-19) / 4.5fm
v = 350192

the answer is 3.99E7

Thank you!
 
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cemar. said:
1/2mv^2 = kq1q2/r
1/2 (1.67E-27) v^2 = 9E9 (1.6E-19) (26*1.6E-19) / 4.5fm
This is perfectly correct, just redo your arithmetic. (Change fm to standard units.)
 
Seriously?!? thanks!
Im a mess! :S
You wouldn't happen to know and equation concerning the diameter of a wire with length and current and all that jazz would you??
 
cemar. said:
You wouldn't happen to know and equation concerning the diameter of a wire with length and current and all that jazz would you??
Not sure what you're asking. If you post a complete problem, I can take a look.
 
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