Final answer:
The question relates to the computation of tension, acceleration, force exerted, and potential energy in a c) pulley system with a bucket and a box. Specific values to solve the problem are not provided, but generally, Newton's second law and the definition of potential energy are used in such calculations.
Step-by-step explanation:
The student's question relates to a system involving a bucket of concrete and an 80.0 kg box, connected via a cable and pulley system, and involves the calculation of physical properties such as tension, acceleration, force exerted, and potential energy. This is a typical physics problem that involves concepts such as Newton's laws of motion, the definition of work and energy, and the equations of motion for objects under the influence of gravity. However, the specific values needed to calculate the tension in the cable (a), acceleration of the system (b), the force exerted by the bucket (c), and potential energy of the box (d) have not been provided in the context given. As such, providing a detailed solution is not possible without further information about the situation, such as the height of the bucket or whether the box and bucket are moving or stationary. In general terms, to solve problems like these, you would apply Newton's second law (F = ma) for both the bucket and the box to find the tension and acceleration and use the definition of potential energy (PE = mgh) to find the potential energy of the box, given a specific height.