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, rcom, as a function of time, 1 kg, m2 = 3 kg, m3 = 8 kg %3D %3D i = (2 - 4) + 23 = (4 - t)i + 23 r3 = 2i + (t 3)} ii Acceleration of the center of mass of the system, acom: Im. iii Net force acting on the system, Fnet- Answer: i) Feom = (- 3t + 24) + (8t 16)j /12 ii) com = i/6 m/s? iii) Fnet 2i N %3D