Answer:
6.67 × 10^-9 N.
Step-by-step explanation:
To calculate the gravitational force between two objects, we can use Newton's law of universal gravitation:
F = (G * m1 * m2) / r^2
where F is the gravitational force, G is the gravitational constant (6.67 × 10^-11 N m^2/kg^2), m1 and m2 are the masses of the two objects, and r is the distance between their centers of mass.
In this case, both persons have a mass of 100 kg, and they are standing 1 meter apart. Substituting these values into the formula, we have:
F = (6.67 × 10^-11 N m^2/kg^2) * (100 kg) * (100 kg) / (1 m)^2
F = (6.67 × 10^-11 N m^2/kg^2) * 10000 kg^2 / 1 m^2
F = 6.67 × 10^-9 N
Therefore, the gravitational force that the two 100 kg persons exert on each other when standing 1 meter apart is approximately 6.67 × 10^-9 N.