3. Consider a system of many interacting particles. Let each particle have a potential energy V(r) with respect to any other particle, where V(r) x r where r is the distance to another particle and n is an integer. For such systems the Virial Theorem relates the time averaged total kinetic energy of all particles (Ttot) to the time averaged total potential energy (Vtot) as follows: 2(Ttot) = n(Vtot) If the particles in our system interact only via gravity, what is the time averaged total energy (Etot) of the system? A B D (Etot) = 0 (Etot) = 2(Vtot) (Etot) = (Vtot)/2 (Etot) = -(Vtot) (Etot) = -2(Vtot) [2]