Question

The moon ( mass=7.35 x 10²² kg) is 3.84 x 10⁸ m from the earth ( mass=5.98 x 10²⁴ kg). how much gravitational force do they exert on each other?

Answer 1

The gravitational force between the Earth and the Moon can be calculated using Newton's law of universal gravitation with the given mass of the Earth, mass of the Moon, and the Earth-Moon distance.

Step-by-step explanation:

The student is asking about the gravitational force exerted between the Earth and the Moon. To calculate this force, we can use Newton's law of universal gravitation, which is given by the formula:

F = G * (m1 * m2) / r2

Where F is the gravitational force, G is the gravitational constant (6.674 x 10-11 N(m/kg)2), m1 and m2 are the masses of the two objects, and r is the distance between their centers of mass.

Substituting the given values, we have:

F = (6.674 x 10-11) * (5.98 x 1024 kg * 7.35 x 1022 kg) / (3.84 x 108 m)2

Thus, the gravitational force between the Earth and the Moon can be calculated.