Final answer:
The gravitational force between an individual with a mass of 66 kg and the Moon is calculated using Newton's law of universal gravitation, resulting in a force of approximately 1.92 N. The correct answer is option a. 1.92 N.
Step-by-step explanation:
The gravitational force (F) between two masses is given by Newton's law of universal gravitation, which can be expressed by the formula:
F = G * (m1 * m2) / r^2
Where:
- G is the gravitational constant (6.674 x 10^-11 N(m/kg)^2),
- m1 and m2 are the masses of the two objects,
- r is the distance between the centers of the two masses.
Given the mass of the Moon (m_moon) is 7.34 x 10^22 kg, the mass of the individual (m_person) is 66 kg, and the radius of the Moon (used as the distance in this case) is 1.74 x 10^6 meters, we can plug these values into the formula to calculate the gravitational force:
F = (6.674 x 10^-11 N(m/kg)^2) * (7.34 x 10^22 kg * 66 kg) / (1.74 x 10^6 m)^2
After calculating, we find that the force between the individual and the Moon is approximately 1.92 N.
Therefore, the correct answer to the question is a. 1.92 N.