What mass of butter, which has a usable energy content of 6.0 Cal/g ( 6000 cal/g), would be equivalent to the change in gravita

Question

What mass of 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 73.0 kg man who ascends from sea
level to the top of Mt. Everest, at elevation 8.84 km? Assume that
the average g for the ascent is 9.80 m/s2.

henderson · Answer

Potencial energy:
Pe = mass * gravity * height
Pe = 73 * 9.8 * 8840
Pe = 6,324,136 Nm = 6,324,136 Joules
 
1 cal = 4,1868 J
So
6,324,138 J = 1,510,494 cal = 1,510 Cal
 
Butter: 6 Cal/g
So, for 1,510 Cal we need:
1,510/6 = 251g of butter.

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What mass of butter, which has a usable energy content of 6.0 Cal/g ( 6000 cal/g), would be equivalent to the change in gravita

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