How many butter, which has a usable energy content of 6.0 Cal/g ( = 6000 cal/g), would be equivalent to the change in gravitational potential energy of a 64 kg man who climbs 7.07 km? Assume that the average g for the climb is 9.80 m/s^2.

Question

Physics

Cecelia Douglas

2 September, 09:54

How many butter, which has a usable energy content of 6.0 Cal/g ( = 6000 cal/g), would be equivalent to the change in gravitational potential energy of a 64 kg man who climbs 7.07 km? Assume that the average g for the climb is 9.80 m/s^2.

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Answers (1)

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Michael Moyer · Answer 1

175.96 g

Explanation:

Potential energy required for the man to climb 7.07 km = m g h.

= 64 x 9.8 x 7070

= 4.434 x 10⁶ J

= 4.434 X 10⁶ / 4.2 cals

= 1.0557 x 10⁶ cals

= 1.0557 x 10⁶ / 6000 g of butter

= 175.96 g of butter.