Suppose that the radius of the Sun were increased to 5.90 x 1012 m (the average radius of the orbit of Pluto), that the density of this expanded Sun were uniform, and that the planets revolved within this tenuous object.

(a) Calculate Earth's orbital speed in this new configuration.

(b) What is the ratio of the orbital speed calculated in (a) to Earth's present orbital speed of 29.8 km/s? Assume that the radius of Earth's orbit remains unchanged.

(c) What would be Earth's new period of revolution? (The Sun's mass remains unchanged.)