Answer:
Distance between centre of Earth and centre of Moon is 3.85 x 10⁸ m
Explanation:
The attractive force experienced by two mass objects is known as Gravitational force.
The gravitational force is determine by the relation:
[tex]F=\frac{Gm_{1} m_{2} }{d^{2} }[/tex] ....(1)
According to the problem,
Mass of Moon, m₁ = 7.35 x 10²² kg
Mass of Earth, m₂ = 5.97 x 10²⁴ kg
Gravitational force experienced by them, F = 1.98 x 10²⁰ N
Universal gravitational constant, G = 6.67 x 10⁻¹¹ Nm²kg⁻²
Substitute these values in equation (1).
[tex]1.98\times10^{20} =\frac{6.67\times10^{-11}\times7.35\times10^{22}\times5.97\times10^{24} }{d^{2} }[/tex]
[tex]d^{2}=\frac{2.93\times10^{37}}{1.98\times10^{20}}[/tex]
[tex]d=\sqrt{1.48\times10^{17}}[/tex]
d = 3.85 x 10⁸ m
