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

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Two objects of masses 100g and 200g are moving along the same line in 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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Here, mass of one object, m_(1)= 100g=(100)/(1000)kg= 1/10kg
mass of second object, m_(2)= 200g=(200)/(1000)kg = 1/5 kg
Initial velocity of 1st object, u_(1)= 2m//s, Initial velocity of 2nd object, u_(2)=1m//s
Final velocity of 1st object, v_(1)=1.67m//s, Final velocity of 2nd object, v_(2)=?
According to principle of conservation of linear momentum,
m_(1)v_(1)+m_(2)v_(2)= m_(1)u_(1)+m_(2)u_(2) or 1/10xx1.67+1/5v_(2)=1/10xx2+1/5xx1=2/5
or 1/5v_(2)= 2/5-(1.67)/10=7/30 or v_(2)= 7/30xx5=7/6= 1.17m//s