Answer:
The force between Earth and the moon is 1.99x10²⁶ N.
Explanation:
The force between Earth and the moon can be found using the Gravitational Force equation:
[tex] F_{g} = \frac{Gm_{E}m_{m}}{d^{2}} [/tex]
Where:
d: is the distance between Earth and the moon = 3.84x10⁵ m
G: is the gravitational constant = 6.67x10⁻¹¹ Nm²/kg²
[tex]m_{E}[/tex]: is the Earth's mass = 5.98x10²⁴ kg
[tex]m_{m}[/tex]: is the moon's mass = 7.36x10²² kg
Hence, the force is:
[tex] F_{g} = \frac{Gm_{E}m_{m}}{d^{2}} = \frac{6.67 \cdot 10^{-11} Nm^{2}/kg^{2}*5.98\cdot 10^{24} kg*7.36\cdot 10^{22} kg}{(3.84\cdot 10^{5} m)^{2}} = 1.99 \cdot 10^{26} N [/tex]
Therefore, the force between Earth and the moon is 1.99x10²⁶ N.
I hope it helps you!
