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JEE Main 202431 JanuaryMorning Shift
Exam
JEE Main
Year
2024
Date
31 January
Shift
Morning Shift
Subject
Physics
Chapter
Work, Power and Energy

JEE Main 2024 · 31 January · Morning Shift · Physics · Work, Power and Energy

A solid circular disc of mass 50kg rolls along a horizontal floor...

A solid circular disc of mass 50kg50kg rolls along a horizontal floor so that its center of mass has a speed of 0.4ms−10 . 4m{s}^{- 1}. The absolute value of work done on the disc to stop it is ______ JJ.

Correct answer

0

Step-by-step solution

Using work-energy theorem, we get

W=∆KEW = ∆ KE

⇒W=0−(12mv2+12Iω2)⇒ W = 0 - \left(\dfrac{1}{2}m{v}^{2} + \dfrac{1}{2}I{\omega}^{2}\right)

⇒W=0−12mv2(1+K2R2)⇒ W = 0 - \dfrac{1}{2}m{v}^{2}\left(1 + \dfrac{{K}^{2}}{{R}^{2}}\right)

=−12×50×0.42(1+12)=−6J= - \dfrac{1}{2} \times 50 \times 0 . {4}^{2}\left(1 + \dfrac{1}{2}\right) = - 6J

Absolute work =+6J= + 6J

Therefore, required value of W=6JW = 6J

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