Two obhects.each of masss 1.5 kg are moving in the same straight line but in opposite directions.The velocity of each object is 2.5 m`s^(-1)` before the collision during which they stick together.What will be the velocity of the combined object after collision?

Explanation

Here,`m_(1)=m_(2)1.5kg,u_(1)=2.5 ms^(-1)`
`u_(2)=-2.5 ms^(-1)`
(`because` It is moving in opposite direction.)
Let the velocity of the combined object after collision be v m`s^(-1)`
total momenta after collision `therefore (m_(1)+m_(2))v=m_(1)u_(1)+m_(2)u_(2)`
`therefore(1.5+1.5)v=1.5xx2.5+1.5xx(-2.5)`
`therefore 3v=0`
`therefore v=0 ms^(-1)`
The velocity of the combined object after collision is 0m `s^(-1)`