Question
Sun April 19, 2015 By: Alexig2020 Alexander

calculate the coulomb force between two alpha particles separated by a distance of 3.2 * 10 -15 m in air?

Expert Reply
Faiza Lambe
Sun April 19, 2015
begin mathsize 14px style Take space fraction numerator 1 over denominator 4 πε subscript 0 end fraction equals 9 cross times 10 to the power of 9 Nm squared straight C to the power of negative 2 end exponent
Charge space on space the space alpha space particle equals plus 2 space straight e
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space plus space 2 space cross times 1.6 cross times 10 to the power of negative 19 end exponent straight C
straight r space equals space 3.2 cross times 10 to the power of negative 15 end exponent straight m
Required space repulsive space coulomb space force space between space the space alpha space particles space is comma
straight F equals fraction numerator 1 over denominator 4 πε subscript 0 end fraction cross times fraction numerator straight q subscript 1 cross times straight q subscript 2 over denominator straight r squared end fraction
straight F equals fraction numerator 9 cross times 10 to the power of 9 cross times 2 cross times 1.6 cross times 10 to the power of negative 19 end exponent cross times 2 cross times 1.6 cross times 10 to the power of negative 19 end exponent over denominator 3.2 cross times 10 to the power of negative 15 end exponent cross times 3.2 cross times 10 to the power of negative 15 end exponent end fraction straight N
straight F equals fraction numerator 9 cross times 10 to the power of 9 cross times 3.2 cross times 3.2 cross times 10 to the power of negative 38 end exponent over denominator 3.2 cross times 3.2 cross times 10 to the power of negative 30 end exponent end fraction straight N
straight F equals 90 space straight N
end style
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