The 200 m freestyle 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 W to maintain her speed. Calculate the average force of resistance offered by the water during the swim.
Concept of Physics - 1 , HC VERMA , Chapter " Work and Energy"
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Given in the question :-
Time for the record = 1 min 57.56 sec
= (60+57.56) = 117.56 sec.
Power used to maintain the speed P = 460 W.
Distance travelled s = 200 m.
We know the formula,
Power =
W = P × t
W = 460 × 117.56
W = 54077.6
We know the formula,
Work = force x displacement
∴ Force = 54077.6 / 200
F = 270.60 N.
Hence the average force is 270.60 N
Hope it Helps.
Time for the record = 1 min 57.56 sec
= (60+57.56) = 117.56 sec.
Power used to maintain the speed P = 460 W.
Distance travelled s = 200 m.
We know the formula,
Power =
W = P × t
W = 460 × 117.56
W = 54077.6
We know the formula,
Work = force x displacement
∴ Force = 54077.6 / 200
F = 270.60 N.
Hence the average force is 270.60 N
Hope it Helps.
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