Final answer:
The gravitational force that the Moon produces on the Earth is approximately 1.983 x 10^20 N.
Step-by-step explanation:
The gravitational force that the Moon produces on the Earth can be calculated using Newton's law of universal gravitation. The formula is:
F = G * (m1 * m2) / r^2
where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers of mass. By substituting the given values, we can calculate the gravitational force:
F = (6.67 × 10^-11 N * m^2 / kg^2) * ((7.35 × 10^22 kg) * (5.98 × 10^24 kg)) / (3.84 × 10^8 m)^2
F ≈ 1.983 × 10^20 N