Suppose you could pack neutrons (mass = 1.67 × 10-27 kg) inside a small ball of radius 0.026 m in the same way as neutrons and protons are packed together in the nucleus of an atom.
(a) Approximately how many neutrons would fit inside the ball?
(b) A small object is placed 1.6 m from the center of the neutron-packed ball, and the ball exerts a gravitational force on it. When the object is released, what is the magnitude of the acceleration that it experiences? Ignore the gravitational force exerted on the object by the earth.