Solve the following :

Question:

The $200 \mathrm{~m}$ free style women's swimming gold medal at Seol Olympic 1988 went to Heike Friendrich of East Germany when she set a new Olympic record of 1 minute and $57.56$ seconds. Assume that she covered most of the distance with a uniform speed and had to exert $460 \mathrm{~W}$ to maintain her speed. Calculate the average force of resistance offered by the water during the swim.

Solution:

Power, $\mathrm{P}=\frac{\frac{1}{2}}{2} \mathrm{~V} / \mathrm{t}$

$W=P \times t=460 \times 117.56$

Also

$W=F \times d=F \times 200 \ldots \ldots(2)$

From 1 and 2

$F=(460 \times 117.56) / 200=270.3$

$F=270 \mathrm{~N}$

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