A Binary Star System Is Composed of Two Stars (One

Multiple Choice

A binary star system is composed of two stars (one blue, one red) that orbit a common center of mass. Let the distances from the stars to the center of mass be labeled r_blue and r_red. The sum of the masses of the stars is M_blue + M_red = 3.70 x 10³³ kg. If it is known that r_blue = 2/5 r_red, what is M_red?

A) 1.06 × 10³³ kg
B) 2.64 × 10³³ kg
C) 1.48 × 10³³ kg
D) 2.22 × 10³³ kg