Let's break down this problem. It seems like you're describing a scenario involving gravitational attraction between two masses. To solve this, we need a bit more information.

Key Concepts

* Newton's Law of Universal Gravitation: This law states that every particle in the Universe attracts every other particle with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between their centers. Mathematically:

* F = G * (m1 * m2) / r²

* F = force of attraction

* G = gravitational constant (approximately 6.674 × 10⁻¹¹ N⋅m²/kg²)

* m1 and m2 = masses of the two objects

* r = distance between the centers of the two objects

The Missing Information

You haven't provided the force of attraction (N) when the masses are 10 cm apart. We need this information to calculate the force at a different distance.

Let's Work Through an Example

Let's assume the force of attraction when the masses are 10 cm apart is 0.001 N (this is just an example). Here's how we can find the force when the distance is 5 cm:

1. Initial Setup:

* F1 = 0.001 N (force at 10 cm)

* r1 = 10 cm = 0.1 m (initial distance)

* r2 = 5 cm = 0.05 m (new distance)

2. Applying Newton's Law: Since the masses remain the same, the ratio of the forces is determined only by the change in distance:

* F1 / F2 = (r2²/r1²)

* F2 = F1 * (r1²/r2²)

3. Calculation:

* F2 = 0.001 N * (0.1 m² / 0.05 m²) = 0.004 N

Conclusion

In our example, if the force of attraction between the two masses is 0.001 N when they are 10 cm apart, then the force of attraction would be 0.004 N when the distance is reduced to 5 cm.

Please Provide the Missing Force

To give you an accurate answer, please tell me the force of attraction (N) when the masses are 10 cm apart.