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Asked by jaashisha65 | 16 Jan, 2021, 06:35: PM
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Final velocity is determined using conservation of angular momentum.

Initial angular momentum of mass moving in circular motion = m vo R  .............................(1)

where m is mass , vo is initial speed and R is initial radius of circular motion

Final angular momentum = m v (R/2) ............................(2)

where v is fianl speed .

By conservation of angular momentum , we equate (1) and (2) to get final speed v

m vo R = m v (R/2)   or  v = 2vo

Final kinetic energy = (1/2) m v2 = ( 1/2 ) m ( 2 vo )2  = 2 m vo2
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