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For a two `-` body sstem in absence of external forces, the kinetic energy as measured from ground frame is `K_(0)` and from centre of mass frame is `K_(cm)`. Pick up the wrong statement.A. The kinetic energy as measured from center of mass frame is leastB. Only the portion of energy `K_(cm)` can be transferred from one form to another due to internal changes in the system.C. The system always retains at least `K_(o)-K_(cm)` amount of kinetic energy as measured from ground frame irrespective of any kind of internal changes in the system.D. The system always retains at least `K_(cm)` amount of kinetic energy as measured from ground frame irrespective of any kind of internal changes in the system. |
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Answer» Correct Answer - D It can be shown that `K_(0)=K_(cm)+(1)/(2)WV_(cm)^(2)` where `M` is the total mass of the system and `V_(cm)` is velocity of centre of mass with respect to ground. Due to internal changes `K_(cm)` can change but `V_(cm)` will remain same. Hence only `K_(cm)` portion of kintic energy can be transformed to some other form of energy. Thus `D` is the wrong statement. |
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