Answer :
Final answer:
To find the gravitational force on a 99 kg person due to the moon, Newton's law of universal gravitation is used with the given mass of the moon and distance to the moon, along with the gravitational constant.
Explanation:
The question relates to the application of Newton's law of universal gravitation to calculate the gravitational force exerted on a person by the moon. To calculate this force, the universal gravitational constant G (6.67 × 10-11 N·m2/kg2), the mass of the person, the mass of the moon and the distance between the moon and the person are needed.
Using the provided mass of the moon (7.36 × 1022 kg) and the distance to the moon (3.82 × 108 m), the gravitational force (F) can be computed using the formula:
F = G × (mass of person × mass of moon) / distance2
For a 99 kg person, the calculation would be:
F = (6.67 × 10-11 N·m2/kg2) × (99 kg × 7.36 × 1022 kg) / (3.82 × 108 m)2
After performing this calculation, one can find the gravitational force due to the moon on a 99 kg person. The actual computation of this force would depend on carrying out the multiplication and division as dictated by the formula
