Question

The moon has a mass of 7.34 . 1022 kg and a radius of 1.74. 10 meters. If you have a mass of 66

Answer 1

Answer: F = 106.72 N

Explanation: Newton's Law of Universal Gravitation states that two masses attract each other by a force pointing in a straight line to the center-of-mass of both masses.

It is directly proportional to the masses and inversely proportional to the square of their distance, represented as:

$F=G\frac{m_{1}m_{2}}{r^{2}}$

where

G is gravitational constant whose value is 6.67x10⁻¹¹ N(m/kg)²

m are masses in kg

r is distance in m

The force between the moon and a person with mass of 66kg is:

$F=6.67.10^{-11}\frac{66(7.34.10^{22})}{(1.74.10^{6})^{2}}$

$F=\frac{3231.215.10^{11}}{3.0276.10^{12}}$

F = 106.72 N

The force between a person with mass of 66kg and the moon is 106.72 N.