newton's law of universal gravitation

Why is Gravitation Negligible at the Nanoscale?

The gravitational force between two nanoscale particles is minuscule due to their small masses. For example, consider two nanoparticles each with a mass of 1 nanogram (10-9 grams) separated by a distance of 1 nanometer (10-9 meters). The gravitational force between them can be calculated using Newton's law:
F = G * (m1 * m2) / r2
Given that G = 6.674 × 10-11 N(m/kg)2, the resulting force is exceedingly small, illustrating why gravitational effects are often disregarded in nanotechnology.

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