Dear Student,

## If u1 and u2 are the initial velocities of the two bodies before the collision, the total momentum before the collision is

Pi=m1u1+m2u2

Let v be the common velocity of the two bodies after collision. Then the final mo-mentum after collision is,

pf=(m1+m2)v

From the law of conservation of momentum

Pi=Pf

m1u1+m2u2=(m1+m2)v

∴v = m1u1+m2u2(m1+m2) = 20×10+40×5/20+40 = 200+200/60=400/60=6.67 ms^{−1}

∴ After collision, the combined velocity of both the masses is 6.67m/s.

,Regards.

__HOPE THIS MIGHT HELP YOU,__ THANK YOU !!! :)