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While running, a person transforms about 0.60 J of chemical energy to mechanical energy per step per kilogram of body mass. If a 60 kg runner tranforms energy at a rate of 72 W during a race, how fast is the person running? Assume that a running step is 1.5 m long.

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2.0 m/s

3.0 m/s

2.5 m/s

5.0 m/s

answer is B.

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Detailed Solution

Energy required for 1 kg = 0.6 J

Energy required for 60 kg = 36 J per step

Now per second the runner consumes 72 J of energy

Per 36 joules he takes $\frac{36}{72} s e c$ = 0.5 seconds

Speed = $\frac{d i s \tan c e}{t i m e}$ = $\frac{1.5}{0.5}$ = 3 $\frac{m}{s}$

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