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Case (ii)
It can be observed that the total momentum before and after collision in each case is constant.
For an elastic collision, the total kinetic energy of a system remains conserved before and after collision.
For mass of each ball bearing m, we can write:
Total kinetic energy of the system before collision:
Case (i)
Total kinetic energy of the system after collision:
Hence, the kinetic energy of the system is not conserved in case (i).
Case (ii)
Total kinetic energy of the system after collision:
Hence, the kinetic energy of the system is conserved in case (ii).
Case (iii)
Total kinetic energy of the system after collision:
Hence, the kinetic energy of the system is not conserved in case (iii).
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