An 348.1kg weight watcher wishes to climb a mountain to work off the equivalent of a large piece of chocolate cake rated at 342.9kcal (1 kcal = 1000 cal). How high must the person climb?

Question

An 348.1kg weight watcher wishes to climb a mountain to work off the equivalent of a large piece of chocolate cake rated at 342.9kcal (1 kcal = 1000 cal). How high must the person climb?

Answer 1

Start with finding the energy he needs to work off in joules:

342.9kcal*(4184 Joules/1kcal)=1.4347*10⁶ J (rounded 1,434,693.6 J)

That is the amount of work that needs to be done. Now plug that into the equation for work done lifting an object:

W=mgh

divide by mg to get h=W/(mg)

h=(1.4347*10⁶ J)/(348.1 kg * 9.81 m/s²) = 420.1 meters