Two objects 1 and 2, of mass \(m_{1}\) and \(m_{2}\), are released from rest far from Earth, at a location where the magnitude of the acceleration due to gravity is much less than \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\).

(a) What is the ratio \(F_{\mathrm{E} 1}^{G} / F_{\mathrm{E} 2}^{G}\) ?

(b) For these two objects, is the magnitude of the gravitational force exerted by Earth per unit mass independent of the properties of the objects?