A solid circular disc of mass 50 kg rolls along a horizontal floor so that its center of mass has a speed of…

A solid circular disc of mass 50 kg rolls along a horizontal floor so that its center of mass has a speed of 0.4 m s-1. The absolute value of work done on the disc to stop it is ______ J.

Solution

Using work-energy theorem, we get

W=KE

W=0-12mv2+12Iω2

W=0-12mv21+K2R2

=-12×50×0.421+12=-6 J

Absolute work =+6 J

Therefore, required value of W=6 J

Asked in: JEE Main 2024 (31 Jan Shift 1)

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