An attractive force of 7.2 N occurs between two point charges that are 0.10 m apart. If one charge is -4.0 µC, what is the other charge? (µC = 1.0 × 10^-6 C) -4.0 µC , -2.0 µC , +2.0 µC , or +4.0 µC
i think it's C.
here we have to apply teh law of Coulomb
the*
Not so sure! sorry!
\[\Large F = K\frac{{{Q_1}{Q_2}}}{{{d^2}}}\]
+2.0 µC
okay! what do we plug in?
for example I will solve that fromula for Q2, and I get: \[{Q_2} = \frac{{F{d^2}}}{{K{Q_1}}}\]
7.2 should be plugged in
ohh what would that look like? :/ i am confused :/ is is 7.2 divided by somehing?
substituting our data, we can write: \[\Large {Q_2} = \frac{{F{d^2}}}{{K{Q_1}}} = \frac{{7.2 \times {{\left( {{{10}^{ - 1}}} \right)}^2}}}{{9 \times {{10}^9} \times \left( { 4 \times {{10}^{ - 6}}} \right)}}\]
F = k*q1*q2/r^2 so q2 = F*r^2/(k*q1) = 7.2*0.10^2/(9.0x10^9*4.0x10^-6) = 2.0x10^-6 and since the force is attractive the charge must be C - 2.0 µC
sorry b! not c!
no, it is C, since the force is attractive, and only opposite charges interact with an attractive force
ohh so our solution is choice C?
yes!
yay! thank you both!!
your welcome!
was that your last question?
oh never mind
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