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Two objects of masses \(100\ g\) and \(200\ g\) are moving along the same line and direction with velocities of \(2\ m\ s^{–1}\) and \(1\ m\ s^{–1}\), respectively. They collide and after the collision, the first object moves at a velocity of \(1.67\ m\ s^{–1}\). Determine the velocity of the second object.
 
Let us consider,
 
\(m_1\) be the mass of first object
 
\(m_2\) be the mass of second object
 
\(u_1\) be the initial velocity of first object before collision
 
\(u_2\) be the initial velocity of the second object before collision
 
\(v_1\) be the final velocity of first object after collision
 
\(v_2\) be the final velocity of the second object after collision
 
From the law of conservation of momentum, We know that,
  
Velocity of the second object after the collision \(=\)  \(m\ s^{-1}\).
  
(Note: Enter your answer with three decimal places)