What is the force, in terms of Coulomb's constant, between two electrical charges of $- 4 C$ $-4 C$ and $32 C$ $32 C$ that are $12 m$ $12 m$ apart?

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What is the force, in terms of Coulomb's constant, between two electrical charges of $- 4 C$ $-4 C$ and $32 C$ $32 C$ that are $12 m$ $12 m$ apart?

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Answer 1 · 2017-03-08T00:58:57

$| F | \approx 2.5 \cdot 10^{7} N$ $|F| ~~2.5*10^7N$

Explanation:

The force between two charges is given by Coulomb's Law:

$| F | = k \frac{| q_{1} | | q_{2} |}{r^{2}}$ $|F|=k(|q_1||q_2|)/r^2$

Where $k$ $k$ is a constant equal to $8.99 \cdot 10^{9} \frac{N \cdot m^{2}}{C^{2}}$ $8.99*10^9(N*m^2)/C^2$

We are given that $r = 12.0 m, q_{1} = - 4 C,$ $r=12.0m, q_1=-4C,$ and $q_{2} = 32 C$ $q_2=32C$ .

$\Rightarrow | F | = (8.99 \cdot 10^{9} \frac{N \cdot m^{2}}{C^{2}}) \frac{(4 C) (32 C)}{{(12.0 m)}^{2}}$ $=> |F|=(8.99*10^9(N*m^2)/C^2)((4C)(32C))/(12.0m)^2$

$\approx 2.5 \cdot 10^{7} N$ $~~2.5*10^7N$

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What is the force, in terms of Coulomb's constant, between two electrical charges of $- 4 C$ $-4 C$ and $32 C$ $32 C$ that are $12 m$ $12 m$ apart?

1 Answer

Explanation:

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Math

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What is the force, in terms of Coulomb's constant, between two electrical charges of −4C-4 C and 32C32 C that are 12m12 m apart?

1 Answer

Explanation:

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What is the force, in terms of Coulomb's constant, between two electrical charges of $- 4 C$ $-4 C$ and $32 C$ $32 C$ that are $12 m$ $12 m$ apart?