5) 20 pts. A 2-kg particle has a velocity of v1 = (2.0i - 10tj) m/s, where t is in seconds. A 3-kg particle moves with a constant velocity of v2 = 4i m/s. Att=0.5 sec, determine: a) The velocity of the center of mass b) The total momentum of the systemPHYSICS 105 EQUATION SHEET g= 9.8 m/sec/sec At g = 32.2 fi/sec/sec = AV At into = a, + a, v = ax dt a, = dv dt a = dv dt = AF v = Vo + at At (3 - X ) = Vof +1/2at2 a avg = Av At vi = Va + 2a(x -x. ) tan O = v / gr V+ Vo V= 2 P = OW / 0t = Fv Work = [F - dr (x - *0 ) = VI Work =1/2my? -1/2mv/ K+U. +U. = const Wi - mg K =1/2my SF = ma U., = mgy f=H.FN U, -1/2kx] f, Su, FN TE = fd A=HAFN e(v] - V, ) = (v, -v, ) S,SHEN mv +mv, = mv, +m,v2 W = mg