Two bodies of mass 60 kg and 30 kg moving in the same direction along straight line velocity 40cms^(-1) and 30cms^(-1)respectively suffer one dimensional elastic collision. Find their velocities after collision

Two bodies of mass 60 kg and 30 kg moving in the same direction along

1.	Two bodies of mass 60 kg and 30 kg moving in the same direction along straight line velocity 40cms^(-1) and 30cms^(-1)respectively suffer one dimensional elastic collision. Find their velocities after collision
Answer» Solution :`"Mass "m_(1)=60KG , "Mass" m_(2)=30KG ,v_(1)=40cms_(-1) ,v_(2)=30 cms^(-1)` `v_(1)((m_(1)-m_(2))/(m_(1)+m_(2)))u_(1)+((2m_(1))/(m_(1)-m_(2)))u_(2)` `v_(2)=((m_(2)-m_(1)))/(m_(1)+m_(2))=u_(2)+ ((2M^(2))/(m_(1)+m_(2)))u_(2)` Substituting the values, we get , `v_(1)=(60-30)/90xx40+(2xx30)/90xx30` `v_(1)=1/9[1200+1800]=(39000)/90=33.3cm s^(-1)` likewise, `v_(2)=(30-60)/90xx30+(2xx60)/90xx40` `v_(2)=1/9[1200+18000]=(3900)/90=43.3cm s^(-1)`