(adsbygoogle = window.adsbygoogle || []).push({}); 1. In a double-star system, two stars of mass 6.0 *10^30 kg each rotate about the system's center of mass at a radius of 2.0 * 10^11 m.

(a) What is their common angular speed?

(b) If a meteoroid passes through the system's center of mass perpendicular to their orbital plane, what minimum speed must it have at the center of mass if it is to escape to "infinity" from the two-star system?

2. Relevant equations

F=-GMm/r^2

A=V^2/R

V(orbit)=sqrt(GM/r)

U(gravitational potential energy) = -GMm/R

3. The attempt at a solution

I tried to do F=ma and a=v^2/r so m(v^2/r)=GMm/r^2

any help would be greatly appreciated. I need this done by midnight. thanks so much

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# Homework Help: Gravitational Energy and Kepler's Law

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