Three objects `A` ,` B` and `C` are kept in a straight line on a smooth horizontal surface. These have masses `m `, `2m` and `3 m` , respectively . The head - on elastic collision takes place between `A` and `B` and then `B` makes completely inelastic collision with `C`. All motions occur on the same straight line. The final speed of `C` will be
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After the first collision. `mv_(A)=mv_(A)^(')+2mv_(B)^(')` `1=(v_(B)^(')-v_(A)^('))/(0-v_(A))` `implies v_(B)^(')=6m//s` After the second collision `impliesv_(C)=(2/3)v_(B)^(')impliesv_(C)=4m//s`
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