Final answer:
The gravitational force between the person on Earth and the moon is approximately 1.98 × 10^20 N.
Step-by-step explanation:
The gravitational force between two objects can be calculated using Newton's law of universal gravitation, which states that the force is proportional to the product of the masses and inversely proportional to the square of the distance between them.
In this case, the mass of the moon is 7.35 × 1022 kg, the mass of the person is 47.0 kg, and the distance between the moon and Earth is 3.84 × 108 meters. Plugging these values into the equation, we can calculate the gravitational force:
F = (G * m1 * m2) / d2
Where G is the gravitational constant (approximately 6.67 × 10-11 N*m2/kg2). After calculating the force, we get:
F = (6.67 × 10-11 * 7.35 × 1022 * 47.0) / (3.84 × 108)2 = 1.98 × 1020 N