(e) Imagine the Moon, with 27.3% of the radius of the Earth, had a charge 27.3% as large, with the same sign. Find the electric force the Earth would then exert on the Moon.

Respuesta :

Answer:

if Q = 1c

[tex]F_{e} = 7.25 N[/tex]

Explanation:

We suposse that the earth has a charge equal to Q, then the moon would have a charge equal to 0.273 Q.

The electrical force between two objects charged is described by the Coulomb's law

[tex]F_{e} = \frac{kQ_{1}Q_{2} }{r^{2} }[/tex]

                        Where k is the Coulomb's constant       [tex]k = 8.9874x10^{9} \frac{Nm^{2} }{c^{2} }[/tex]

                                     r is the distance between the earth and the moon

Then the electrical force would be:

[tex]F_{e} = \frac{(8.9874x10^{9}Q(0.273Q) )}{338400000}[/tex]

[tex]F_{e} = 7.25 Q^{2} N[/tex]

For estimating this force we can suppose Q = 1 C and then

[tex]F_{e} = 7.25 N[/tex]

Explanation:

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