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How much metabolic energy is required for a 68 kg person to run at a speed of 15 km/h for 18 min ? Assume that metabolic power of this running person is 1150 W.

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[tex]Given:\\m=68kg\\v=15 \frac{km}{h} \\t=18min=1080s\\P=1150W\\\\Find:\\\Delta E=?\\\\Solution:\\\\\Delta E=W\\\\W=Pt\\\\W=1150W\cdot 1080s=1242000J=1.1242MJ[/tex]

The metabolic energy required by the running person is 1.242 x 10⁶ J.

The given parameters:

  • Mass of the person, m = 68 kg
  • Speed of the person, v = 15 km/h = 4.167 m/s
  • Time, t = 18 min = 1,080 s
  • Power dissipated, P = 1150 W

The metabolic energy required by the running person is calculated as follows;

E = Pt

E = 1150 x 1,080

E = 1.242 x 10⁶ J

Thus, the metabolic energy required by the running person is 1.242 x 10⁶ J.

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