A man on the moon with a mass of 90 kilograms weighs 146 newtons. The radius of the moon is [tex]1.74 \times 10^6[/tex] meters. Find the mass of the moon.

The formula is F = k r 2 m m 0 ​ ​ , where k is the universal constant of gravity, m the mass of the moon, m 0 ​ that of the man and r the radius of the moon. Solve for m.

Answered by Anonymous | 2024-06-10

184.44 ;

Answered by diarabyars | 2024-06-12

The mass of the Moon can be calculated using Newton's law of universal gravitation, resulting in an approximate mass of 7.35 × 10²² kg. This calculation involves the gravitational force acting on an object of known mass at the surface of the Moon, alongside the radius of the Moon. By substituting these values into the gravitational formula, we can determine the Moon's mass.
;

Answered by Anonymous | 2024-10-01