Question

Physics 121 Fall 2019 - Document #20: Homework w07 & Reading Assignment page 5 of 6 Problem 3: Discovery of an extra-solar planet: A star of mass M and a planet of mass m move in circular orbits of radius R and respectively about their center of mass which is assumed to lie at the origin (see figure). Both star and planet move at the same angular velocity w. Rodious - *-nxis Plynu Star MAS MESSEM Star and Planet. (a) What is the magnitude of the centripetal acceleration of the planet? or the star? Give your answer in terms of w, and R. (b) The position of the star is given by 1 =Rcost and y =Rsinwt. Determine the y-component of the velocity of the star V.(t). (e) The radii of the orbits are related to the relative masses via R/ r m /M. Explain why, (d) What is the magnitude of the gravitational force of the star on the planet? Or the planet on the star? Ce) Apply Newton's laws to the planet to determine w. Use the result of part (e) to express your answer in terms of G, m, M and R. Problem 3 Continues next page.....

Answer 1

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