**Force of Gravitation between two objects**

The force of gravitation, also known as the gravitational force, is the force of attraction between two objects due to their masses. It is a fundamental force that governs the motion of celestial bodies and plays a crucial role in our everyday lives.

**Formula for calculating the force of gravitation**

The force of gravitation between two objects can be calculated using Newton's law of universal gravitation. The formula is:

F = G * (m1 * m2) / r^2

Where:
- F is the force of gravitation
- G is the gravitational constant (approximately 6.67430 × 10^-11 N m^2 kg^-2)
- m1 and m2 are the masses of the two objects
- r is the distance between the centers of the two objects

**Calculating the force of gravitation between the child and the mother**

Given:
- Mass of the child (m1) = 25 kg
- Mass of the mother (m2) = 75 kg
- Distance between them (r) = 1 m

Using the formula for the force of gravitation, we can substitute the given values:

F = G * (m1 * m2) / r^2
F = (6.67430 × 10^-11 N m^2 kg^-2) * (25 kg * 75 kg) / (1 m)^2

Calculating the numerator:

(25 kg * 75 kg) = 1875 kg^2

Calculating the denominator:

(1 m)^2 = 1 m^2

Substituting the values:

F = (6.67430 × 10^-11 N m^2 kg^-2) * (1875 kg^2) / (1 m^2)

Now, we can solve the equation:

F = (6.67430 × 10^-11 N m^2 kg^-2) * (1875 kg^2) / (1 m^2)
F = 1.2502375 × 10^-7 N

Therefore, the force of gravitation between the child and the mother is approximately 1.2502375 × 10^-7 Newtons.