Question

A 2.5 kg rock is located on the earth's surface. if the mass of the moon is 7.4 e 22 kg, and the separation distance between the center of the rock and the center of the moon is 3.8 e 8 meters, what gravitational force does the moon exert on the rock?

Answer 1

The gravitational force that the moon exerts on the rock is approximately 7.829 × 10^-5 Newtons.

Step-by-step explanation:

To calculate the gravitational force exerted by the moon on the rock, we can use the formula for gravitational force:

F = G * (m1 * m2) / r²

Where F is the force, G is the gravitational constant (6.67 × 10^-11 N.m²/kg²), m1 is the mass of the rock, m2 is the mass of the moon, and r is the distance between their centers.

Substituting the values:

F = (6.67 × 10^-11 N.m²/kg²) * (2.5 kg * 7.4 × 10^22 kg) / (3.8 × 10^8 m)²

F = 7.829 × 10^-5 N

Therefore, the gravitational force that the moon exerts on the rock is approximately 7.829 × 10^-5 Newtons.