Answer:
q = 3.6 10⁵ C
Explanation:
To solve this exercise, let's use one of the consequences of Gauss's law, that all the charge on a body can be considered at its center, therefore we calculate the electric field on the surface of a sphere with the radius of the Earth
r = 6 , 37 106 m
E = k q / r²
q = E r² / k
q = [tex]\frac{100 \ (6.37 \ 10^6)^2}{9 \ 10^9}[/tex]
q = 4.5 10⁵ C
Now let's calculate the charge on the planet with E = 222 N / c and radius
r = 0.6 r_ Earth
r = 0.6 6.37 10⁶ = 3.822 10⁶ m
E = k q / r²
q = E r² / k
q = [tex]\frac{222 (3.822 \ 10^6)^2}{ 9 \ 10^9}[/tex]
q = 3.6 10⁵ C
