Two identical stars, each of mass \(3.0 \times 10^{30} \mathrm{~kg}\), revolve about a common center of mass that is \(1.0 \times 10^{11} \mathrm{~m}\) from the center of either star.

(a) What is the rotational speed of the stars?

(b) If a meteoroid passes through the center of mass, perpendicular to the orbital plane of the stars, how fast must the meteoroid be going if it is to escape the gravitational attraction of the stars?