(Solved): Two stars, one twice as massive as the other, are \( 1.0 \) light year (ly) apart. One light year ...

Two stars, one twice as massive as the other, are \( 1.0 \) light year (ly) apart. One light year is the distance light travels in one year at the speed of light, \( 3.00 \times 10^{8} \mathrm{~m} / \mathrm{s} \). The gravitational potential energy of this double-star system is \( -9.5 \times 10^{34} \mathrm{~J} \). Part A What is the mass of the lighter star? Express your answer with the appropriate units.