Final answer:
Rory has done more work than Diego because he weighs more, and they climbed the same vertical distance. Work is calculated as the product of force and distance, and the greater force due to Rory's higher weight leads to more work done by Rory (Option a).
Step-by-step explanation:
The question involves Diego and Rory climbing a 4.89 m ladder in the same amount of time. To determine who has done more work, we will apply the definition of work in physics, which is the product of force and the distance over which the force is applied (Work = Force x Distance, W = Fd). Since both climbers ascend the same vertical distance (ladder's height), the only variable that could affect the work done is their individual weights, which corresponds to the force they apply against gravity.
Diego weighs 823 N and Rory weighs 951 N. As work done against gravity is equal to weight (force due to gravity) multiplied by the height climbed (W = mgh), it is clear that the person with higher weight (Rory) has done more work, because the distance climbed is constant for both. Therefore, Rory has done more work in climbing the same ladder compared to Diego.
Option (a) is Rory. Even though they both climbed the same ladder for the same amount of vertical distance, Rory's greater weight means that he exerted a greater force over this distance, resulting in more work done.