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 $\mathrm{r}_{\mathrm{blue}}$ and $\mathrm{r}_{\text {red. }}$. The sum of the masses of the stars is $\mathrm{M}_{\mathrm{blue}}+\mathrm{M}_{\mathrm{red}}=3.70 \times 1033 \mathrm{~kg}$. If it is known that $\mathrm{r}_{\mathrm{blue}}=2 / 5 \mathrm{r}_{\mathrm{red}}$, what is $\mathrm{M}_{\mathrm{red}}$ ?
A) $2.64 \times 1033 \mathrm{~kg}$
B) $1.48 \times 1033 \mathrm{~kg}$
C) $2.22 \times 1033 \mathrm{~kg}$
D) $1.06 \times 10^{33} \mathrm{~kg}$

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The Answer of 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 $\mathrm{r}_{\mathrm{blue}}$ and $\mathrm{r}_{\text {red. }}$. The sum of the masses of the stars is $\mathrm{M}_{\mathrm{blue}}+\mathrm{M}_{\mathrm{red}}=3.70 \times 1033 \mathrm{~kg}$. If it is known that $\mathrm{r}_{\mathrm{blue}}=2 / 5 \mathrm{r}_{\mathrm{red}}$, what is $\mathrm{M}_{\mathrm{red}}$ ?
A) $2.64 \times 1033 \mathrm{~kg}$
B) $1.48 \times 1033 \mathrm{~kg}$
C) $2.22 \times 1033 \mathrm{~kg}$
D) $1.06 \times 10^{33} \mathrm{~kg}$

A Binary Star System Is Composed of Two Stars (One rblue\mathrm{r}_{\mathrm{blue}}rblue​

A Binary Star System Is Composed of Two Stars (One $\mathrm{r}_{\mathrm{blue}}$