Question

A 45 kg teenager jumping off of the diving board has the potential energy of 2,205 J. What was the height of the diving board?

Answer 1

Given:

The mass of the teenager is m = 45 kg

The potential energy is P.E. = 2205 J

To find the height of the diving board.

Step-by-step explanation:

The height can be calculated using the formula

`\begin{gathered} P.E.\text{ =mgh} \\ h=(P.E.)/(mg) \end{gathered}`

Here, g = 9.8 m/s^2 is the acceleration due to gravity.

On substituting the values, the height will be

`\begin{gathered} h=(2205)/(45*9.8) \\ =\text{ 5 m} \end{gathered}`

Thus, the height of the diving board is 5 m