Question

how is coulombs law related to newtons law of gravitation?

Explanation:

Both Coulomb's Law and Newton's Law of Gravitation are inverse - square laws. Coulomb's Law describes the electrostatic force \(F = k\frac{q_1q_2}{r^{2}}\) between two charged particles (\(q_1\), \(q_2\) are charges, \(r\) is the distance between them, \(k=\frac{1}{4\pi\epsilon_0}\)). Newton's Law of Gravitation describes the gravitational force \(F = G\frac{m_1m_2}{r^{2}}\) between two masses (\(m_1\), \(m_2\) are masses, \(r\) is the distance between them, \(G\) is the gravitational constant). They have a similar mathematical form in terms of the dependence on the inverse of the square of the distance between the interacting entities (charges for Coulomb's Law and masses for Newton's Law of Gravitation).

Answer:

Both are inverse - square laws. Coulomb's Law (\(F = k\frac{q_1q_2}{r^{2}}\)) for electrostatic force and Newton's Law of Gravitation (\(F = G\frac{m_1m_2}{r^{2}}\)) for gravitational force have a similar mathematical form with the force depending inversely on the square of the distance (\(r\)) between the interacting entities (charges \(q_1,q_2\) and masses \(m_1,m_2\) respectively).