Directions: Solve the following problems. Show your work for full credit. Include units in your calculations, and explain your reasoning in your solutions. 1) Using your amazing telescope, you just found a star with a planet orbiting it at a distance of 850,000,000 km. You measured the orbital period to be 4.5 years. a. Find the centripetal acceleration of the planet. . Although you don't know the mass of the planet m, it is possible to solve for the mass of the star M. To do this, find the magnitude of the force of gravity acting on the planet, in terms of m, using both Newton's second law and the law of universal gravitation. Find the star's mass M by setting these results equal to each other and solving for M