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AnnZ [28]
2 years ago
8

A small cork is charged to +4.50 mC. Find the number of excess elementary charges (protons or electrons)

Physics
1 answer:
Irina-Kira [14]2 years ago
7 0

Answer:

The third choice: 2.81*10^{16} \: \text{protons}

Explanation:

The cork is positively charged, therefore we know tat there must be excess of positively charged protons present.

The charge p^+ of a proton is

p^+ = +1.6*10^{-19}C;

therefore, the number n that makes up a charge of +4.5mC is

n = \dfrac{+4.5mC}{+1.6*10^{-19}C}  = \dfrac{+4.5*10^{-3}C}{+1.6*10^{-19}C}

\boxed{n =2.81*10^{16} \: \text{protons}}

which is the 3rd choice.

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In order to solve this problem, we must first draw our free body diagram (See attached picture).

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F_{e}=k_{e}\frac{q_{1}q_{2} }{r^{2} }

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F_{12}=8.99x10^{9}N\frac{m^{2} }{C^{2} }\frac{(71x10^{-6}C)(52x10^{-6}C) }{(0.17m)^{2} }

Which gives me a force of:

F_{12}=-1148.48N

In this case the force will be negative because it's directed towards sphere 1, this is to the left.

We can do the same with the force due to sphere 3:

F_{23}=8.99x10^{9}N\frac{m^{2} }{C^{2} }\frac{(46x10^{-6}C)(52x10^{-6}C) }{(0.17m)^{2} }

Which gives me a force of:

F_{23}=744.09N

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F_{net}=∑F

F_{net}=F_{12}+F_{23}

F_{net}=-1148.48N+744.09N

F_{net}=-404.39N

a) Since part a of the problem only asks us for the magnitude, then the net electric force on the middle sphere due to spheres 1 and 3 is 404.39N

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