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JEE Main 2021 (1 Sep, Shift 2) · Work-Energy Theorem

Work-Energy Theorem question from JEE Main 2021 (1 Sep, Shift 2)

Q15JEE Main 2021 · 1 SEP · SHIFT 2Easy

Work-Energy Theorem

A body of mass 'm' dropped from a height 'h' reaches the ground with a speed of 0.8 gh\sqrt{gh}. The value of work done by the air-friction is:

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Answer: (a)

  1. Work-energy theorem: Wg+Wf=12mv2W_g + W_f = \frac{1}{2}mv^2.
  2. 12m(0.8gh)2=0.32 mgh\frac{1}{2}m(0.8\sqrt{gh})^2 = 0.32\,mgh
  3. Wf=0.32 mgh−mgh=−0.68 mghW_f = 0.32\,mgh - mgh = -0.68\,mgh, so the answer is (a).
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