Electric Force/ charge problem; missing electrons

AI Thread Summary
The problem involves calculating the number of missing electrons from a pith ball experiencing an electrostatic force of 4.5 x 10^-3 N toward another pith ball with a charge of 2.3 nC, located 22 mm away. Using the formula F = kqq/r^2, the charge on the first pith ball is determined to be approximately 1.05 x 10^-7 C. This charge is then equated to the product of the number of missing electrons and the charge of a single electron, resulting in an estimated total of 6.58 x 10^11 missing electrons. The calculation is confirmed as consistent with the expected repulsive force, indicating that the initial assumption about the charge was correct. The solution effectively demonstrates the relationship between electrostatic force, charge, and the number of electrons.
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Homework Statement



How many electrons are missing from a pith ball which feels an electrostatic force of
4.5 x 10^-3 N torward a second pith ball 22 mm away with a net charge of 2.3 nC.

Homework Equations



q= ne; charge of an object equals the number of electrons x the charge of an electron

F= kqq/r^2


The Attempt at a Solution



F= kqq/r^2
q=(Fr^2)/kq

q=((4.5 x 10^-3 N)(0.022 m)^2)/((8.99 x 10^9)(2.3 x 10^-9))

q=1.05 × 10^-7
q=ne

(1.05 x 10^-7)/(1.6 x 10^-19)= 658,000,000,000= 6.58 x 10^11 electrons ? Is that right?
 
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It looks good except it should be a repulsive force, if electrons are missing.

Plugging the unknown charge back in gives the Force OK.
 
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