The hiker's gravitational potential energy can be calculated using the formula: gravitational potential energy = mass × gravitational acceleration × change in height.
In this question, the subject is Physics and the grade level is High School.
In order to calculate the hiker's vertical elevation, we can use the formula: elevation = mass × gravitational acceleration × height.
Given that the hiker's mass is 82kg and the vertical elevation increases by 540m over a 2-hour period, we can calculate the gravitational potential energy using the formula: gravitational potential energy = mass × gravitational acceleration × change in height.
So, in this case, the hiker's gravitational potential energy would be: 82kg × 9.8 m/s² × 540m = 431,136 J (joules).