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JEE Main 202310 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
10 April
Shift
Morning Shift
Subject
Physics
Chapter
Work, Power and Energy

JEE Main 2023 · 10 April · Morning Shift · Physics · Work, Power and Energy

A closed circular tube of average radius 15cm , whose inner walls...

A closed circular tube of average radius 15cm15cm, whose inner walls are rough, is kept in vertical plane. A block of mass 1kg1kg just fit inside the tube. The speed of block is 22ms−122m{s}^{- 1}, when it is introduced at the top of tube. After completing five oscillations, the block stops at the bottom region of tube. The work done by the tube on the block is ________ JJ. (Given g=10ms−2g = 10m{s}^{- 2}).

A closed circular tube of average radius 15cm , whose inner walls are rough, is kept in vertical plane. A block of mass

Correct answer

0

Step-by-step solution

The data given is

r=15cmm=1kgv=22ms−1r = 15cmm = 1kgv = 22m{s}^{- 1}

Total work done by the tube on the block is equal to loss in mechanical energy,

w=12mv2+mghw = \dfrac{1}{2}m{v}^{2} + mgh

⇒w=12×1×(22)2+1×10×0.3⇒ w = \dfrac{1}{2} \times 1 \times {\left(22\right)}^{2} + 1 \times 10 \times 0 . 3

⇒w=245J⇒ w = 245J

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