Answer to Question #117748 in Physics for ran li

Question

An Olympic diver has a mass of 45.8 kg and has 7129 J of gravitational potential energy.
What is the height of the diving board? Place your answer in the box below to 3 significant digits.

Answer 1

The potential energy in the gravitational field is given by:

$$W = mgh$$

where $m = 45.8 kg$ is the mass of the body and $h$ is the height above the Earth surface. Let's express the $h$ from this formula and substitute numerical values.:

$$h = \dfrac{W}{mg} = \dfrac{7129J}{45.8kg\cdot 9.81 m/s^2} = 15.867m$$

Answer. h = 15.867 m.