Three identical stars of mass M form an equilateral trianglethat rotates around the triangle’s center as the stars move in acommon circle about that center. The triangle has edge length L.What is the speed of the stars? b.) What is the period ofrevolution? c.) What is the total potential energy of the 3 starsystem? Express your answers in terms of the star mass M andtriangle edge length L. Hint: Draw a diagram showing thegravitational forces on each star. d.) Find the gravitational forceon a single star due to the gravitational attraction of the othertwo stars, (magnitude and direction). Hints: the 2nd law for asingle particle orbiting a planet i.e. Fg = M v 2 /R. You will needto express R in terms of the triangle edge length L. Use v T = 2πRto find the period. it is a symbols-only problem. All work must bedone in symbols. There are no numbers.
