Final answer:
Using Newton's law of universal gravitation, the gravitational force between two 60.0-kg people sitting 100m apart is 2.4 × 10^-11 N, so the correct answer is A.
Step-by-step explanation:
The gravitational force between two 60.0-kg people sitting 100m apart can be calculated using Newton's law of universal gravitation, which is represented by the formula F = G (m1m2) / r^2, where F is the gravitational force, G is the gravitational constant (6.674 × 10^-11 Nm^2/kg^2), m1 and m2 are the masses of the two objects, and r is the distance between the centers of the two masses.
For two people each with a mass of 60.0 kg and separated by a distance of 100 m, the formula becomes F = (6.674 × 10^-11 Nm^2/kg^2) × (60 kg × 60 kg) / (100 m)^2. Upon carrying out the calculation, you'll find the gravitational force to be:
F = (6.674 × 10^-11) × (3600) / (10000)
F = 2.4 × 10^-11 N
Therefore, the correct answer is A. 2.4 x 10^-11 N.