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