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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Work and Energy

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Work and Energy

The 200 m free style women's swimming gold medal at the Asian Games...

The 200 m200 \text{ m} free style women's swimming gold medal at the Asian Games went to Priya of India when she established a new record of 11 minute and 57.5657.56 seconds. Assuming she completed the majority of the distance at a uniform speed and was required to exert 460 W460 \text{ W} to sustain her speed, determine the average force of resistance provided by the water during the swim.

Options

  1. A270 N270 \text{ N}
  2. B132 N132 \text{ N}
  3. C362 N362 \text{ N}
  4. D782 N782 \text{ N}

Correct answer

A. 270 N270 \text{ N}

Step-by-step solution

Distance d=200 md = 200 \text{ m}

Time t=1 min 57.56 s=60+57.56=117.56 st = 1 \text{ min } 57.56 \text{ s} = 60 + 57.56 = 117.56 \text{ s}

Average speed v=dt=200117.56 m/sv = \dfrac{d}{t} = \dfrac{200}{117.56} \text{ m/s}

Power P=460 WP = 460 \text{ W}

Since the speed is uniform, the force exerted by the swimmer equals the force of resistance provided by the water.

Using the relation P=F×vP = F \times v, we get:

F=Pv=P×tdF = \dfrac{P}{v} = \dfrac{P \times t}{d}

F=460×117.56200=2.3×117.56=270.388 NF = \dfrac{460 \times 117.56}{200} = 2.3 \times 117.56 = 270.388 \text{ N}

The average force of resistance is approximately 270 N270 \text{ N}.
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