JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति Question Bank Perfectly Inelastic Collision

  • question_answer
    If a skater of weight 3 kg has initial speed 32 m/s and second one of weight 4 kg has 5 m/s. After collision, they have speed (couple)  5 m/s. Then the loss in K.E. is [CPMT 1996]

    A)             48 J    

    B)             96 J

    C)             Zero    

    D)             None of these

    Correct Answer: D

    Solution :

                    Loss in K.E. = (initial K.E. ? Final K.E.) of system \[\frac{1}{2}{{m}_{1}}u_{1}^{2}+\frac{1}{2}{{m}_{2}}u_{2}^{2}-\frac{1}{2}({{m}_{1}}+{{m}_{2}}){{V}^{2}}\]             \[=\frac{1}{2}3\times {{(32)}^{2}}+\frac{1}{2}\times 4\times {{(5)}^{2}}-\frac{1}{2}\times (3+4)\times {{(5)}^{2}}\]             = 986.5 J


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