Star (alpha), of mass (m), is headed directly towards Star (beta), of mass (3 m), with velocity
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Star \(\alpha\), of mass \(m\), is headed directly towards Star \(\beta\), of mass \(3 m\), with velocity \(v_{0}\) as measured in \(\beta^{\prime} s\) rest frame.
(a) What is the velocity of their mutual center of mass, measured in \(\beta^{\prime} s\) frame?
(b) How fast is each star moving in the CM frame?
(c) If the two stars merge upon colliding, how fast is the new star moving in the CM frame?
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