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JEE Main 202229 JuneMorning Shift
Exam
JEE Main
Year
2022
Date
29 June
Shift
Morning Shift
Subject
Physics
Chapter
Work, Power and Energy

JEE Main 2022 · 29 June · Morning Shift · Physics · Work, Power and Energy

A particle of mass 500g is moving in a straight line with velocity...

A particle of mass 500g500g is moving in a straight line with velocity v=bx52v = bx\dfrac{5}{2}. The work done by the net force during its displacement from x=0x = 0 to x=4mx = 4m is (Take b=0.25m−32s−1b = 0 . 25m\dfrac{- 3}{2}{s}^{- 1}).

Options

  1. A2J2J
  2. B4J4J
  3. C8J8J
  4. D16J16J

Correct answer

D. 16J16J

Step-by-step solution

According to the work-energy theorem, work done by all forces will be is equal to the change in kinetic energy.

Wall=\DeltaK{W}_{all} = \DeltaK

=12mb2(x25−x15)= \dfrac{1}{2}m{b}^{2}\left({x}_{2}^{5} - {x}_{1}^{5}\right)= \dfrac{1}{2} \times 0 . 5 \times \dfrac{1}{16} \times {4}^{5} = 16J

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