.A millimeter cube of carbon the size of a pencil point contains about 77 coulombs of positive and negative charge. If you could separate all of the positive and negative charges by a distance of one meter the attractive force between them would be about _________

Respuesta :

Answer:

[tex]5.36\cdot 10^{13}N[/tex]

Explanation:

The magnitude of the electricforce between two charges is given by the formula:

[tex]F=k\frac{q_1 q_2}{r^2}[/tex]

where:

[tex]k=8.99\cdot 10^9 Nm^{-2}C^{-2}[/tex] is the Coulomb's constant

[tex]q_1, q_2[/tex] are the two charges

r is the separation between the two charges

And the force is:

- Repulsive if the two charges have same sign

- Attractive if the two charges have opposite sign

In this problem, we have:

[tex]q_1 = 77 C[/tex] is the magnitude of the positive charge

[tex]q_2 = 77 C[/tex] is the magnitude of the negative charge

r = 1 m is the distance between the two charges

So, the magnitude of the electrostatic force is

[tex]F=(8.99\cdot 10^9)\frac{(77)(77)}{1^2}=5.36\cdot 10^{13}N[/tex]