Fission is the process of emitting particles from an unstable radioactive nucleus. This releases quite a bit of energy. Suppose you wanted to instead add a particle, such as a proton, to a nucleus. This is difficult as the electric force the proton feels from the nucleus will tend to repel the proton. If you fired a proton directly towards an iron nucleus, what is the magnitude in Newtons of the force the proton would feel if it is 2 fm from the surface of the iron nucleus?
Assumptions
k
=
9
×
1
0
9
Model an iron nucleus as a sphere of radius 3 fm.
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Level 2!!!
It is correct ?
did not see the 3fms of the nucleus! calculation error
Formula for coulombic force:
k d 2 q 1 q 2
where d is the distance of seperation = ( 2 + 3 ) f m = 5 f m
q 1 is the charge of the pinging proton = 1 . 6 0 2 1 8 × 1 0 − 1 9 C
q 2 is the charge of the nucleus of iron with 26 protons = 2 6 × 1 . 6 0 2 1 8 × 1 0 − 1 9 C
You get k = 9 × 1 0 9 from the question.
So
1 0 1 9 × 1 0 1 9 ( 1 0 1 5 5 ) 2 ( 9 × 1 0 9 ) ( 2 6 × 1 . 6 0 2 1 8 × 1 . 6 0 2 1 8 ) = 2 4 0 . 2 6 8 is the answer in Newtons
how is the distance of seperation is 5fm
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You need to consider the distance from the center of the nucleus, not from the surface.
Use Coulumb's Law using 1 . 6 0 × 1 0 − 1 9 C as the charge of proton and 2 6 ( 1 . 6 0 × 1 0 − 1 9 ) C as the charge of the iron nucleus and its distance will be the distance between the proton and the center of the iron nucleus which is 5 f m or 5 × 1 0 − 1 5 m
bah! took 3 fm as dia. n 1.5 fm radius, messed up the whole thing, lol
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An iron nucleus has 26 protons each having a charge of 1 . 6 × 1 0 − 1 9 , which is the charge on one proton.Using Coulomb's law force on the proton = ( k q 1 q 2 ) / r 2 where r is the distance between the charges.Here q 1 = 26×1.6×10^(-19) and. q 2 = 1.6×10^(-19) and. r=5×10^(-15). Plugging in the values you get force=239.616 N.