Final answer:
The gravitational force between a man and the Earth can be calculated using Newton's universal law of gravitation. Plugging in the values, the approximate gravitational force is 73 N.
Step-by-step explanation:
The gravitational force between an object and the Earth can be calculated using Newton's universal law of gravitation. The formula is given by:
F = G * (m1 * m2) / r^2
Where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the objects (in this case, the man and the Earth), and r is the distance between their centers.
Plugging in the appropriate values for the mass of the man (100 kg), the mass of the Earth (6x10^24 kg), and the radius of the Earth (6400 km) into the formula, we can calculate the gravitational force.
F = (6.674 × 10^-11 N·m²/kg²) * (100 kg) * (6x10^24 kg) / (6400 km)^2
Doing the calculations gives us an answer of approximately 73 N.