Two asteroids are 100,000 m apart. One has a mass of 3.5 106 kg. If the force of gravity between them is 1.05 10-4 N, what is the mass of the other asteroid?

When two mass are attracted by gravity, a gravitational force is present. This can be calculated by the expression F = G (m1) (m2) / distance^2 where G is equal to 6.67408 * 10-11 m3 / kg-s^2. We calculate mass as follows:

F = G (m1) (m2) / distance^2

1.05 x10^-4 N = 6.67408 * 10-11 m3 / kg-s^2 (3.5x10^6 kg) (m2) / 100000^2

m2 = 44950.02 kg