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19 September, 04:35

A student has a mass (including clothes and shoes) of 65.0 kg. She drinks a 12 oz. can of soda, with a nutritional energy content of 140 Cal. Assuming that the efficiency of her muscles is 20%, how high can she climb without losing weight?

Conversion: 1 Cal = 1,000 cal = 4,180 J

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  1. 19 September, 04:49
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    She can climb 0.92 m without losing weight.

    Explanation:

    Gravitational potential energy is the energy consisting of the product of mass, gravity and height.

    1 cal = 4184 J

    140 cal = 585760 J

    Energy = 585760 J, m = 65.0 kg = 65000 g, Efficiency = 20 %

    GPE = mgh

    where m represents the mass

    g represents the gravity,

    h represents the height.

    585760 = 65000 9.8 h

    h = 0.92 m.
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