Question

A chocolate bar has nutritional energy content of 100KJ. If an 50kg mountain climber eats this chocolate bar and converts it all to potential energy. What altitude(height) can she climb on a mountain using this energy? Consider g=10m/s^2

Answer 1

h = 200 m

Step-by-step explanation:

The energy content of the chocolate is completely converted to the potential energy of the climber. Therefore:

`Energy\ of\ Chocolate = Potential\ Energy\\Energy\ of\ Chocolate = mgh`

where,

m = mass of climber = 50 kg

Energy of Chocolate = 100 KJ = 100000 J

g = acceleration due to gravity = 10 m/s²

h = height = ?

Therefore,

`100000\ J = (50\ kg)(10\ m/s^2)h\\\\h = (100000\ J)/(500\ N)`

h = 200 m