When two unlike charged particles are placed at a distance they get attracted but the force depends on the inverse of the square of distance between the particles. So when they approach each other (as d becomes 0) wont their velocities become very huge and when they collide wont the d between them become 0 so the force will be infinite. Or maybe the law is not valid in microscopic terms?
Similarly with the gravitation law.....when we touch something (feel something), do we actually feel the force as distance between hands and object tends to 0? That would mean nothing is in contanct with anything in the universe.