Two identical, isolated particles, each of mass 2 kg, are separated by a distance of 30 cm. What is the magnitude of the gravitational force of one particle on the other?

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To calculate the magnitude of the gravitational force between two particles, we can use Newton's Law of Universal Gravitation.

The formula for gravitational force is given by:

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

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

In this case, the masses of both particles are 2 kg, and the distance between them is 30 cm, which is equivalent to 0.3 m.

Plugging these values into the formula:

F = (6.67430 * 10^-11 N(m/kg)^2) * (2 kg) * (2 kg) / (0.3 m)^2

Simplifying the equation:

F = (6.67430 * 10^-11 N(m/kg)^2) * 4 kg^2 / 0.09 m^2

F = 26.69720 * 10^-11 N

F ≈ 27 * 10^-11 N

Therefore, the magnitude of the gravitational force between the two particles is approximately 27 * 10^-11 N.