# The problem will require you to make assumptions, so be sure that your assumptions are clear. You...

## Question:

The problem will require you to make assumptions, so be sure that your assumptions are clear. You have dinner reservations at Atrio in Brickell, but the elevator is broken. If you decide to take the stairs does that entitle you to eat the entire chocolate fondue for two dessert by yourself? The chocolate Fondue for two is {eq}1 lb{/eq}. of dark chocolate, served with a variety of fruits for dipping.

The goal is to solve this problem by creating assumptions and using only energy equations to solve it. For example, using the equation: {eq}E_{total}= E_g+ E_k+ E_{internal}{/eq}.

## Energy Conservation:

The energy conservation are used when the body is in motion and there is a change in the potential of the body to the kinetic energy of the body. The energy is calculated in Joules.

We know 1 lb= 453.6 gm

Also 100 g = 546 calories, so i.e 546(4.186)J

For 1 lb the total energy is

{eq}E=453.6\frac{546}{100}(4.186)=10367 \ J {/eq}

Let the person has a mass of 50 kg and the restaurant be on the 23rd floor. Let us say that the height is 3.5m for the floors.

So, now the potential energy is

P.E=mgh

=50(23)(3.5)

= 4025 J.

Using energy conservation we have

{eq}E_{net}=401695-10367 =391328 J {/eq}