# The Moon and Earth are bound together by gravity. If, instead, the force of attraction were the result of each having a charge of the same magnitude but opposite in sing, find the quantity of charge that would have to be placed on each to produce the required force.

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The Moon and Earth are bound together by gravity. If, instead, the force of attraction were the result of each having a charge of the same magnitude but opposite in sing, find the quantity of charge that would have to be placed on each to produce the required force.

2021-03-18
The force due to gravity
$$\displaystyle{F}={\frac{{{G}{M}{m}}}{{{R}^{{2}}}}}$$
G - universal gravitational constant
M - mass of the earth
m - mass of the moon
R - distance
force between the the charges
$$\displaystyle{F}={\frac{{{Q}^{{2}}}}{{{4}\sigma\pi{R}^{{2}}}}}$$
Equating and solve for Q