A smaller than F If the magnitude of the gravitational force of Earth on the Moon is F, the magnitude of the gravitational force of the Moon on Earth is

The Newton's Law of Gravitation gives the magnitude of the force of attraction between two masses due to gravitational force. The formula is given as below:

[tex]F = \frac{Gm_{1} m_{2}}{r^2}[/tex]

where,

G = Universal Gravitational Constant

m₁ = mass of body 1

m₂ = mass of body 2

r = distance between the masses

F = Force of attraction between the objects

The magnitude of force applied by the objects on each other are equal but opposite in direction.

Therefore, if the force of Earth on Moon is F.

Then, the force of moon on earth will be:

Force of Moon on Earth = - F

onyebuchinnaji onyebuchinnaji · Answer 2 · 2022-01-07T14:42:42+01:00

The magnitude of the gravitational force of the Moon on Earth is F.

The given parameters:

Magnitude of gravitational force of Earth on the moon = F

The magnitude of the gravitational force of the Moon on Earth is determined by applying Newton's third law of motion.

Newton's third law of motion states that for every action, there is equal and opposite reaction.

That is, the force exerted by the Earth on the moon is equal to the force exerted by the moon on Earth but in opposite direction.

[tex]F_E = -F_M\\\\|F_E| = |F_M|[/tex]

Thus, the magnitude of the gravitational force of the Moon on Earth is F.

Learn more about Newton's third law of motion here: https://brainly.com/question/25998091