Using electric force to calculate number of protons

AI Thread Summary
The discussion focuses on calculating the charge of an unknown nucleus using electric force principles. The user initially calculated the charge of the unknown nucleus as -2.39x10^-19C but struggled to express it as a whole number multiple of the hydrogen nucleus charge. After clarifying the misunderstanding regarding the distance between the nuclei, they recalculated and determined the unknown nucleus corresponds to carbon. The resolution highlights the importance of correctly interpreting given values in physics problems.
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[SOLVED] using electric force to calculate number of protons

Homework Statement


a hydrogen nucleus and a nucleus of an unknown atom are stationary, 5.0x10^-10m apart, the electric charge on the hydrogen nucleus is 1.6x10^-19C.
express the charge you have calculated for the unknown nucleus as a whole number multiple of the charge on the hydrogen nucleus, you may assume this number is the atomic number of the unknown nucleus, ie the number of protons




Homework Equations


I used Fe= -ke Q1 Q2 / r^2




The Attempt at a Solution



my calculation gave me the charge on the unknown nucleus to be -2.39x10^-19C
however, when i try to turn this into some whole number compared to 1.6x10^-19, i either get 1.5 or 0.6, neither of which are whole numbers.
please help with this part of the question, even if its just a nudge as to what on Earth is actually being asked...
neither integers nor any similar work appears in my coursebook and my tutor isn't returning my emails.
please help
 
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dizzydani said:
my calculation gave me the charge on the unknown nucleus to be -2.39x10^-19C

How? Data seems to be missing here.
 
full equation

okay, so using Fe = -Ke Q1 Q2 / r^2

Fe = 5.5x10^-9 N
-Ke = -9.0x10^9 Nm^2C^-2
Q1 = 1.6x10^-19C
r^2 = 6.25x10^-20m^2

Q2 = 5.5x10^-9 x 6.25x10^-20 / -9.0x10^9 x 1.6x10^-19

Q2 = -2.39x10^-19C

but the main part of the problem is the part where i have to use the 2 number for Q to tell how many protons Q2 nucleus has... i just arent sure where to start with that part
 
dizzydani said:
Fe = 5.5x10^-9 N
This was not previously mentioned.

r^2 = 6.25x10^-20m^2
How, with the given value of r=5.0x10^-10m?
 
ah-haa!

that was it, that was what was causing all my problems. i thought that because it said they were 5.0x10^-10m apart i thought that was the diameter, and that i wanted the square of the radius... i just calculated it all again and i get it now... its carbon...

thanks muchly

big hugs in cyberspace
 
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