Question

Universal Gravitation Problem Set

Highlight Given information in GREEN. Highlight what you are solving for in YELLOW.
Formula: Fg= G*M,*M,/d? G= 6.67 * 10-11 N*M°/Kg?
The distance between Earth and its moon is 3.84 x 10 meters. Earth's mass is
m = 5.98 x 1024 kilograms and the mass of the moon is 7.36 x 1022 kilograms.
What is the force between Earth and the moon?

Answer 1

The force between Earth and the moon is 1.99x10²⁶ N.

Step-by-step explanation:

The force between Earth and the moon can be found using the Gravitational Force equation:

`F_(g) = (Gm_(E)m_(m))/(d^(2))`

Where:

d: is the distance between Earth and the moon = 3.84x10⁵ m

G: is the gravitational constant = 6.67x10⁻¹¹ Nm²/kg²

`m_(E)`: is the Earth's mass = 5.98x10²⁴ kg

`m_(m)`: is the moon's mass = 7.36x10²² kg

Hence, the force is:

`F_(g) = (Gm_(E)m_(m))/(d^(2)) = (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`

Therefore, the force between Earth and the moon is 1.99x10²⁶ N.

I hope it helps you!