Chapter 08, Problem 51 Your answer is partially correct. Try again. A star has a

Question

Chapter 08, Problem 51 Your answer is partially correct. Try again. A star has a mass of 1.26 x 1030 kg and is moving in a circular orbit about the center of its galaxy. The radius of the orbit is 4.0 x 104 light-years (1 light-year = 9.5 x 1015 m), and the angular speed of the star is 1.3 x 10-15 rad/s. (a) Determine the tangential speed of the star. (b) What is the magnitude of the net force that acts on the star to keep it moving around the center of the galaxy? (a) Numberit (b) Number } Units|[ m/s Units

Explanation / Answer

a) m = 1.26 * 1030 kg , r = 9.5 * 1015 * 4.0 * 104

w = 1.3 * 10-15 rad/s

tangential speed of the star = w * r = 1.3 * 10-15 * 9.5 * 1015 * 4.0 * 104

tangential speed = 4.94 * 105 m/s

b) force = m v2 / r

= (1.26 * 1030 * (4.94 * 105 )2) / (9.5 * 1015 * 4.0 * 104 )

= 8.09 * 1020 N

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