Answer to Question #95259 in Classical Mechanics for Lofi

Question #95259
A 2kg yellow cart rolls right with velocity of 6 m/s and collides with a 3kg orange cart moving right with velocity of 1 m/s. After collision, the orange cart moves right with velocity of 5 m/s. What is speed and direction of of the yellow cart?
1
Expert's answer
2019-09-26T14:54:33-0400

Law of conservation of moment:

myvy1+movo1=myvy2+movo2myvy1+movo1=myvy2+movo2vo2=myvy1+movo1mo=26+313=5m/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/s

So, the yellow cart moves right with velocity of 5 m/s


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