The sun has a mass of 1.99 × 1030 kg and is moving in a circular orbit about the center of our galaxy, the Milky Way. The radius of the orbit is 2.3 × 104 light-years (1 light-year = 9.5 × 1015 m), and the angular speed of the sun is 1.1 × 10-15 rad/s.

(a) Determine the tangential speed of the sun.

(b) What is the magnitude of the net force that acts on the sun to keep it moving around the center of the Milky Way?