A body of mass 5 ~kg makes an elastic collision with another body at rest and continues to move in the original direction after collision with a velocity equal to 1 10 th of its original velocity. Then the mass of the second body is

Step-by-step solution

Mass of the first body m₁=5 ~kg , for elastic collision e=1 . Suppose initially body m₁ moves with velocity v after collision velocity becomes ( u 10 ) . Let after collision velocity of M block becomes (v₂ ) . By conservation of momentum aligned m₁ u₁+m₂ u₂ & =m₁ v₁+m₂ v₂ or 5 u+M 0 & =5 u 10 +M v₂ aligned Since, aligned v₁-v₂ & =-e (u₁-u₂ ) u 10 -v₂ & =-1(u) aligned or u 10 +u=v₂ Substituting value of v₂ in Eq. (i) from Eq. (ii), we get 5 u= u 2 +M ( 11 u 10 ) or 5- 1 2 =M ( 11 10 ) or M= 9 10 2 11 or aligned M &