< b="" />Gravitational Force Calculation between Two Objects< />

To calculate the gravitational force between two objects, we can use Newton's law of universal gravitation. This law states that every particle of matter attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

< b="" />Given Information< />
- Mass of the man (m1) = 68 kg
- Mass of the woman (m2) = 52 kg
- Distance between them (r) = 4 meters

< b="" />Step 1: Find the gravitational constant (G)< />
The gravitational constant (G) is a fundamental constant in physics. Its value is approximately 6.67430 x 10^(-11) Nm^2/kg^2.

< b="" />Step 2: Calculate the gravitational force (F)< />
Using Newton's law of universal gravitation, we can calculate the gravitational force between the man and the woman.

The formula for gravitational force (F) is given by:
F = G * (m1 * m2) / r^2

Substituting the given values into the formula:
F = (6.67430 x 10^(-11) Nm^2/kg^2) * (68 kg * 52 kg) / (4 meters)^2

< b="" />Step 3: Solve the equation< />
Calculating the values within the formula:
F = (6.67430 x 10^(-11) Nm^2/kg^2) * (3536 kg^2) / 16 meters^2

Simplifying the expression:
F = (6.67430 x 10^(-11) Nm^2/kg^2) * (3536) / 16

F = 1.4709 x 10^(-8) N

< b="" />Step 4: Interpret the Result< />
The gravitational force between the man and the woman is approximately 1.4709 x 10^(-8) Newtons. This force represents the attraction between the two objects due to their masses and the distance between them.

It is important to note that this force is relatively small because the masses of the man and the woman are relatively small compared to the masses of larger objects like planets or stars. Additionally, the force decreases with the square of the distance between the objects, so the gravitational force becomes weaker as the distance increases.

Overall, the gravitational force between the man and the woman is negligible in everyday situations and does not have a noticeable effect on their interaction.