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Object A is metallic and electrically neutral. It is chargedby induction so that it acquires a charge of -3.0*10^{-6}C. Object B is identical to objec

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asked 2021-02-21
Object A is metallic and electrically neutral. It is chargedby induction so that it acquires a charge of \(\displaystyle-{3.0}\cdot{10}^{{-{6}}}{C}\).
Object B is identical to object A and is also electricallyneutral. It is carged by inductin so that it acquires a charge of \(\displaystyle+{3.0}\cdot{10}^{{-{6}}}{C}\).
Find the difference in massbetween the charged objects and state which has the greatermass.

Answers (1)

2021-02-23
The excess number of electrons
\(\displaystyle{N}=\frac{{q}}{{e}}={3.0}\cdot\frac{{10}^{{-{6}}}}{{{1.6}\cdot{10}^{{-{19}}}}}\)
The corresponding increase in mass
\(\displaystyle{m}={\left({1.9}\cdot{10}^{{{13}}}\right)}{\left({9.11}\cdot{10}^{{-{31}}}\right)}\)
\(\displaystyle={1.7}\cdot{10}^{{-{17}}}{k}{g}\)
Since both objects carry charge of the same magnitude,N is also equal to the number of electrons lost by object B. Hence, the mass of B is reduced by the amount?
the difference in mass between the chargedobjects and state which has the greater mass
M=(M+m)-(M-m)
\(\displaystyle={2}{m}={3.4}\cdot{10}^{{-{17}}}{k}{g}\)
object A has larger mass.
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