The force of gravitation between two objects is inversely proportional to the square of the distance between them therefore the gravity will become four times if distance between them is reduced to half.

How does the force of gravitation between two objects change when the distance between them is reduced to half?

The force of gravitation between two objects is governed by the universal law of gravitation, which states that the force of attraction between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. Mathematically, it can be represented as:

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

Where:
- F is the force of gravitation
- G is the gravitational constant
- m1 and m2 are the masses of the two objects
- r is the distance between the centers of the two objects

When the distance between the two objects is reduced to half, the force of gravitation between them changes in the following way:

Increase in Force:
- As the distance between the two objects is reduced to half, the denominator of the equation (r^2) becomes 1/4 of its original value.
- Since the force of gravitation is inversely proportional to the square of the distance, reducing the distance by half results in an increase in the force by a factor of 4.
- Therefore, the force of gravitation between the two objects becomes four times stronger when the distance is reduced to half.

Explanation:
- The force of gravitation is a fundamental force of nature that acts between any two objects with mass.
- It is responsible for holding planets in orbit around the sun, keeping our feet on the ground, and governing the motion of celestial bodies.
- The force of gravitation is always attractive, meaning it pulls objects towards each other.
- When the distance between two objects is reduced, the gravitational force becomes stronger because the objects are closer to each other, increasing the interaction between their masses.
- This increase in force is a result of the inverse square law, which states that the force of gravitation decreases rapidly with increasing distance.
- As the objects move closer to each other, the gravitational force increases exponentially, making the objects attract each other with greater force.

Conclusion:
In conclusion, when the distance between two objects is reduced to half, the force of gravitation between them becomes four times stronger. This is due to the inverse square nature of the gravitational force, where reducing the distance by half increases the force by a factor of 4.

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