Question

A snowball that will be used to build a snowman is at the top of the only hill in town and weighs 22N. If the Potential Energy of the snowball is 520J, what is the height of the snowy hill?

Answer 1

Answer:

$Height = 23.64\ meters$

Explanation:

Given

$P.E = 520\ J$ --- Potential Energy

$Weight = 22N$

Required

Determine the height of the hill

The potential energy is equal to $the\ work\ done.$

So, we have:

$Potential\ Energy = Work\ Done$

By substitution,

$Work\ Done = 520J$

Work Done is calculated as follows:

$Work\ Done = Force * Distance$

In this case:

The force is represented by the weight of the snowball and the distance is the required height.

So, the equation becomes

$Work\ Done = Weight * Height$

Substitute values for Work Done and Height

$520J = 22N * Height$

Make Height the subject

$Height = \frac{520J}{22N}$

$Height = 23.6363636\ meters$

$Height = 23.64\ meters$ (approximated)