Final answer:
To find the gravitational force between Earth and the Moon, we can use Newton's law of universal gravitation and plug in the given mass values and distance to get the force.
Step-by-step explanation:
The question at hand involves calculating the gravitational force between the Earth and the Moon. This calculation can be done using Newton's law of universal gravitation, which is given by the equation:
F = G * (m1 * m2) / r²
Where
F is the force of gravity between two masses,
G is the gravitational constant ≈ 6.674 x 10⁻¹¹ N m²/kg²,
m1 and m2 are the masses of two objects, and
r is the distance between the centers of the two masses. Plugging in the values given, we get:
F = (6.674 x 10⁻¹¹ N m²/kg²) * (5.98 x 10²⁴ kg * 7.35 x 10²² kg) / (3.84 x 10⁸ m)²
By calculating this expression, we can find the force of gravity between the Earth and the Moon.