Two balls with masses m1 = 3 kg and m2 = 5 kg have initial velocities v1 = 5 m/s = v2 in the directions as shown in figure. They collide at the origin. Find the velocity of the COM, 3sec before collision?
The given time is of no consequence since VCOM is fixed for all times as there is no external force acting on the system of 2 particles.
Vcom)x=m1(v1)x+m2(v2)xm1+m2=(3)(−5 cos 37∘)+5(0)8=−1.5m/s(Vcom)y=m1(V1)y+m2(V2)ym1+m2=3(−5 sin 37∘)+5(5)8=+2m/s→vcom=(−1.5^i+2^J)m/s