Law of conservation of moment:
myv⃗y1+mov⃗o1=myv⃗y2+mov⃗o2myvy1+movo1=myvy2+movo2vo2=myvy1+movo1mo=2⋅6+3⋅13=5 m/sm_y\vec{v}_{y1}+m_o\vec{v}_{o1}=m_y\vec{v}_{y2}+m_o\vec{v}_{o2}\\ m_y{v}_{y1}+m_o{v}_{o1}=m_y{v}_{y2}+m_o{v}_{o2}\\ {v}_{o2} = \frac{m_y{v}_{y1}+m_o{v}_{o1}}{m_o} = \frac{2\cdot6+3\cdot1}{3} = 5\,m/smyvy1+movo1=myvy2+movo2myvy1+movo1=myvy2+movo2vo2=momyvy1+movo1=32⋅6+3⋅1=5m/s
So, the yellow cart moves right with velocity of 5 m/s
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