(a)
With the use of conservation of momentum law
Mv1+2Mv2=3Mv→v=3v1+2v2
(b)
ΔKE=KEf−KEi
KEf=23M⋅v2=6M(v1+2v2)2
KEi=2Mv12+22Mv22
ΔKE=6M(v1+2v2)2−2Mv12−22Mv22=
=6M(−2v12−2v22+4v1v2)=3M(−v12−v22+2v1v2)=
=−3M(v12−2v1v2+v22)=−3M(v1−v2)2
KElost=∣ΔKE∣=3M(v1−v2)2
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