The nominal food-energy value of 1.00g of butter is about 7.20 foodcalories. If

Question

The nominal food-energy value of 1.00g of butter is about 7.20 foodcalories.
If all this energy could be converted to mechanical energy,how much butter would be required to power a 65.0kg mountaineer onher journey from Lupine Meadows (elevation 2070m) to summit ofGrand Teton (4196m)?
My answer 44934g , but it's wrong...
Please help, will rate well..
If all this energy could be converted to mechanical energy,how much butter would be required to power a 65.0kg mountaineer onher journey from Lupine Meadows (elevation 2070m) to summit ofGrand Teton (4196m)?
My answer 44934g , but it's wrong...
Please help, will rate well..

Explanation / Answer

the food-energy value of 1.00 g of butter is about 7.20 foodcalories 1 food calories = 4186 J therefore,7.20 food calories = 7.20 * 4186 J = 30139.2J the energy needed by the mountaineer on her journey is E1 = m * g * (h1 - h) m = 65.0 kg = 65.0 * 10^3 g g = 9.8 m/s^2 h1 = 4196 m and h = 2070 m the mass of butter needed is m1 = (E1/30139.2)

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