A particle of mass 5 kg strikes a body of mass 2.5 kg at rest elastically. The 2.5 kg mass after collision moves with a kinetic energy of 5J. The Kinetic energy of 5 kg mass before collision is        

A particle of mass 5 kg strikes a body of mass 2.5 kg at rest elastically. The 2.5 kg mass after collision moves with a kinetic energy of 5J. The Kinetic energy of 5 kg mass before collision is        

  1. A
    0.62 J
  2. B
    5.625 J
  3. C
    7.68J
  4. D
    4.20 J

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    Solution:

    m1=5kg,m2=2.5kg,u2=0

    KEof2.5kgis5J

    12mv22=5

    v22=102.5

    v2=105=2m/s

    v2=(m2m1)u2(m1+m2)+2m1u1(m1+m2)                                             

    2=0+2(5)(u1)7.5

    2=2(5)u17.5

    u1=7.55=1.5m/s

    KE of 5 kg before collision=12mu12

    =12×5×(1.5)2

    =458

    =5.625J

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