Answer:
1.2 × 10¹² kg
Explanation:
The gravitational attraction between both asteroids can be expressed through Newton's law of universal gravitation.
[tex]F=G\frac{m_{1}.m_{2}}{r^{2} }[/tex]
where,
F: gravitational force
G: gravitational constant
m: masses of the asteroids
r: distance between the asteroids
[tex]m_{2}=\frac{F.r^{2}}{G.m_{1}} =\frac{1.14N \times (75,000m)^{2}}{(6.67 \times 10^{-11} N.m^{2}/kg^{2}) \times 8 \times 10^{7}kg } =1.2 \times 10^{12} kg[/tex]