A body of mass 2kg is traveling with a velocity 10m/s. It collides with another body of the same mass traveling in the same direction with a velocity of 5 m/s. After collision, the two bodies move off together. What is the combined velocity of both the masses?

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.



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