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Question

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?


A
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B

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C

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D

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Solution

The correct option is A

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/svcom=(1.5^i+2^J)m/s


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