The Calculation of Gravitational Potential Energy for a Skier

Gravitational potential energy (GPE) is a form of potential energy that depends on the height of an object. It is an important concept in physics as it helps us understand the energy stored in an object based on its position in a gravitational field.

In this scenario, the skier has a mass of 80 kg and is standing at the top of a 40-meter slope. The gravitational potential energy of the skier can be calculated using the formula:

PE = mgh

Where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object. By substituting the given values into the formula and considering the standard acceleration due to gravity as 9.8 m/s², we can calculate the gravitational potential energy of the skier.

Therefore, the gravitational potential energy of the skier before she skis down the slope is 31,360 joules. This energy represents the potential for the skier to do work as she descends the slope, converting potential energy into kinetic energy.

Understanding gravitational potential energy is crucial in various fields of science and engineering, as it helps in analyzing the energy transformations in different systems. By mastering the concept of gravitational potential energy, we can make accurate predictions and calculations related to the motion of objects in gravitational fields.