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Conversation of dinear Momentummass of Carf A=m; quad velocity (u_(1))=4m//s in the +x disection mass of card B=4m; veloaly (u_(2))=0m//s.let, after collision, veloaly of cart A=v_(1)m//s & velocity of the cart B=v_(2)m//sFrom the conservation of linear momenturn,{:[P_(1)=P_(2)],[=>m_(1)v_(1)+m_(2)v_(2)=m_(1)u_(1)+m_(2)u_(2)=>m_(1)u_(1)+m_(2)u_(2)=m_(1)v_(1)+m_(2)v_(2)],[=>m_(1)xx4+m_(2)xx0=m_(1)v_(1)+m_(2)v_(2)],[=>4m+v_(1)+4m xxv_(2)],[=>4=v_(1)+4v_(2)]:}Dow, from the conservation of energy,{:[(1)/(2)m_(1)u_(1)^(2)+(1)/(2)m_(2)u_(2)^(2)=(1)/(2)m_(1)v_(1)^(2)+(1)/(2)m_(2)v_(2)^(2)],[=>(1)/(2)xx(m)xx4^(2)+(1)/(2)xx(4m)xx(0)^(2)=(1)/(2)m xxv_(1)^(2)+(1)/(2)xx4m xxv_(2)^(2)],[=>(1)/(2)m(4^(2))=(1)/(2)mv_(1)^(2)+(1)/(2)mv_(2)^(2)xx4 ... See the full answer