A hiker wearing a backpack with combined mass of 100 kg is climbing Mount Washington in New Hampshire. The hiker starts at the Cog Railway (820 meters above sea level) and makes it to the summit of Mount Washington (1,917 meters above sea level). a) How much work does her body perform in order
A hiker wearing a backpack with combined mass of 100 kg is climbing Mount Washington in New Hampshire. The hiker starts at the Cog Railway (820 meters above sea level) and makes it to the summit of Mount Washington (1,917 meters above sea level).
a) How much work does her body perform in order to raise herself to this height? Hint: only consider the change in gravitational potential energy.
b) A banana has a caloric yield of about 160 kcal (for whatever reason, the unit used for food is the “Calorie” where 1 Calorie = 1000 calorie = 1 kcal'th). Assuming full conversion of food energy into work, how many bananas does the hiker need to eat to replenish the work done?
c) Both a) & b) make a few (incorrect) assumptions. Identify them and explain why it is an unfounded assumption.
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