The nucleus of a 125Xe atom (an isotope of the element xenon with mass 125 u ) i

Question

The nucleus of a 125Xe atom (an isotope of the element xenon with mass 125 u ) is 6.0 fm in diameter. It has 54 protons and charge q =+54e

Part A :

What is the electric force on a proton 1.5fm from the surface of the nucleus? Hint: Treat the spherical nucleus as a point charge.

Express your answer to two significant figures and include the appropriate units.

F = ___________

Part B

What is the proton's acceleration?

Express your answer to two significant figures and include the appropriate units.

a = ___________

Explanation / Answer

The proton is 1.5 fm from the surface

r=6/2+1.5=4.5 fm

The electric force is

F=KQ1Q2/r2=(9*109)(54)*(1.6*10-19)2/(4.5*10-15)2

F=614.4 N

b)

proton acceleration

a=F/m=614.4/(1.67*10-27)

a=3.68*1029 m/s2

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