Plaskett's binary system consists of two stars that revolve In a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal . Assume the orbital speed of each star is |v | = 240 km/s and the orbital period of each is 12.5 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 times 1030 kg Your answer cannot be understood or graded.

Complete Question

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The mass is    

Explanation:

From the  question we are told that

       The mass of the stars are

        The orbital speed of each star is  

         The orbital period is

The centripetal force acting on these stars is mathematically represented as

The gravitational force acting on these stars is mathematically represented as

So  

=>        

=>      

=>      

=>    

The distance traveled by each sun in one cycle is mathematically represented as

Now this can also be represented as

Therefore

=>  

=>    

So  

=>    

=>    

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explanation:

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