Final answer:
The 75 kg man has 14700 J of potential energy on a diving board 20 meters high, which is calculated using the formula PE = mgh.
Step-by-step explanation:
The question is asking to calculate the potential energy of a 75 kg man standing on a diving board that is 20 meters above the ground. The formula for potential energy (PE) in the context of gravity is PE = mgh, where m is mass in kilograms, g is the acceleration due to gravity (9.8 m/s² on Earth), and h is height in meters above the ground. Therefore, the potential energy for the man on the diving board can be calculated as follows:
PE = mgh = 75 kg × 9.8 m/s² × 20 m = 14700 Joules (J).
Thus, the 75 kg man has 14700 J of potential energy on a diving board 20 meters high.