According to Rutherford, electrons move around the nucleus at very high speed. How did he correlate this with the stability of an atom?

Explanation

If the electrons are at rest, they should fall into the nucleus due to electrostatic forces of attraction. In order to balance this force of attraction towards the nucleus, they must be under the action of another force away from the centre of the nucleus. This is possible only if the electrons are in a state of motion along a circular path with very high speed.