The gravitational force exerted on a 1 g particle by a similar particle is 6.67 10⁻¹⁷ N . Determine the separation between the particles.

Step-by-step solution

Given mass of each particle, m₁ = m₂ = 1 g = 10⁻³ kg Gravitational force between the particles, F = 6.67 10⁻¹⁷ N Universal gravitational constant, G = 6.67 10⁻¹¹ N m ^2 kg ⁻² The gravitational force is given by Newton's law of gravitation: F = G m₁ m₂ r^2 Substituting the given values: 6.67 10⁻¹⁷ = 6.67 10⁻¹¹ 10⁻³ 10⁻³ r^2 6.67 10⁻¹⁷ = 6.67 10⁻¹⁷ r^2 r^2 = 1 r = 1 m