9. (Center of Mass and Linear Momentum) A system containing three objects, which is initially at rest, accelerates by the application of a net force. Masses and time dependent position vectors of objects are given as; Find; i Position vector of system's center of mass, reom, as a function of time, m1 = 1 kg, m2 = 3 kg, ma = 8 kg %3D %3D %3D ri = (P 4)i + 23 3 = (4 - t)i + 23 r3 = 2i + (t 3)j ii Acceleration of the center of mass of the system, acom: iii Net force acting on the system, Fnet- Answer: i) Feom = ( 3t + 24) + (8t 16) /12 ii) acom = i/6 m/s iii) Fnet = 2i N %3D