Answer :
The mass of each objects are 4.988 kg and 0.01202 kg.
- First, its force-mediating boson is immaterial, just as a photon (the electromagnetic force's force-mediating boson) is immaterial. Massless bosons can carry force a long way. Both EM and gravitational forces follow an inverse square law (force is proportional to 1/r^2, where r is the distance between the centers of gravity). In contrast, the strong and weak nuclear forces have boson that carry matter, and their range is extremely short.
- Second, there is no "repulsive" mode of gravitational force. The electromagnetic force comes in both attractive and repulsive polarities, and since matter is generally charge neutral, the two cancel out almost perfectly at great distances. But gravity is only attractive, so it keeps adding up. As a result, it can reach far.
- Now the force weakens with increasing distance, meaning it needs more "action time" for any given change in the object's motion to occur. But on interplanetary and even interstellar scales, there is plenty of time for small changes per second to add up.
M = -b/(2a) +-√((b/(2a))^2 -c/a)
M = 2.5 +-√(6.25 -0.05997)
M = 2.5 +-2.4879
M = 4.988 kg and 0.01202 kg
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