Final answer:
The potential energy of a 150 lb diver at rest on a diving platform 10 m from the water is 6664 J (joules).
Step-by-step explanation:
The potential energy of an object is given by the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above a reference point. In this case, the 150 lb diver can be converted to kilograms by dividing by 2.205 (since 1 lb = 2.205 kg), giving a mass of approximately 68 kg. The acceleration due to gravity is approximately 9.8 m/s².
Using the formula, the potential energy of the diver is PE = (68 kg) * (9.8 m/s²) * (10 m) = 6664 J. Therefore, the potential energy of the diver at rest on the diving platform 10 m from the water is 6664 J (joules).