# Two objects of masses 100g and 200g are moving along the same line in the same direction with velocities of 2m//s and 1m//s, respectively. The

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Two objects of masses 100g and 200g are moving along the same line in the same direction with velocities of 2m//s and 1m//s, respectively. They collide and after the collison, the first object moves at a velocity of 1.67 m//s in the same direction. Determine the velocity of the second object.

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Mass of one of the objects, m_(1) = 100 g = 0.1 kg
Mass of the other object, m_(2) = 200 g = 0.2 kg
Velocity of m_(1) before collision, v_(1) = 2 m//s
Velocity of m_(2) before collision, v_(2) = 1 m//s
Velocity of m_(1) after collision, v_(3) = 1.67 m//s
Velocity of m_(2) after collision = v_(4)
According to the law of conservation of momentum:
Total momentum before collision = Total momentum after collision
Therefore  m_(1)v_(1) + m_(2)v_(2) = m_(1)v_(3) + m_(2)v_(4)
 2(0.1)+1(0.2)=1.67(0.1)+v_(4)(0.2)
 0.4 = 0.67 + 0.2v_(4)
 v_(4) = 1.165 m/s
Hence, the velocity of the second object becomes 1.165 m/s after the collision