The 200 m free style women's swimming gold medal

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:

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