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DUMET Medical DUMET Medical Solved Paper-2006

  • question_answer
     A steel ball of mass 5 g is thrown downward with velocity 10 m/s from height 19.5 m. It penetrates sand by 50 cm. The change in mechanical energy will be : (g = 10 m/s )

    A)  1J           

    B)  1.25 J

    C)  1.51 J         

    D)  1.75J

    Correct Answer: B

    Solution :

     The change in mechanical energy \[\Delta U=mg(h+x)+\frac{1}{2}m{{v}^{2}}\] Here, \[m=5g=0.005\,kg,\,h=19.5\,m\] , \[x=50\,cm=0.5\,m,v=10\,m/s\], \[g=10\,\,m/{{s}^{2}}\] \[\therefore \] \[\Delta U=0.005\times 10\times 20+\frac{1}{2}\times 0.005\times 100\] \[=1+0.25\] = 1.25J


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