Final answer:
The gravitational force between a person with a mass of 47.0 kg and the moon can be calculated using Newton's law of universal gravitation formula, considering the known mass of the moon, the person's mass, and the distance between the Earth and the moon.
Step-by-step explanation:
The gravitational force between a person and the moon can be calculated using Newton's law of universal gravitation, which states that the force (F) between two masses is proportional to the product of their masses (m1 and m2), and inversely proportional to the square of the distance (r) between their centers. The formula is F = G * (m1 * m2) / r2, where G is the gravitational constant, approximately equal to 6.674×10-11 N(m/kg)2.
To find the gravitational force between a person with a mass of 47.0 kg and the moon with a mass of 7.35e22 kg located 3.84e8 meters from Earth, we plug the values into the gravitational formula:
F = (6.674×10-11 N(m/kg)2) * (47.0 kg * 7.35×1022 kg) / (3.84×108 m)2
This will give the magnitude of the gravitational force between the person and the moon.