Final answer:
To calculate the work done by a lever, use the formula Work = Force × Distance. Assuming the load travels the same distance as the effort arm, both input and output work should be 20 J, with the load arm being 1 m. Thus, the correct answer is A) (i) 20 J, (ii) 20 J, (iii) 1 m.
Step-by-step explanation:
The student's question involves calculating input work, output work, and the load arm of a lever based on the given scenario. To calculate the work done, we use the formula Work = Force × Distance. Given the effort force (4 N) and the effort arm (5 m), the input work is calculated as:
Input Work = Effort × Effort Arm = 4 N × 5 m = 20 J.
To calculate the output work done on the load, we use the same formula Work = Force × Distance, with the distance being the displacement of the load. Since the problem does not specify this distance, we typically assume the load moves the same distance as the point where the effort is applied (in the absence of additional information). Thus:
Output Work = Load × Load Arm = 20 N × (Effort Arm / (Effort/Load)) = 20 N × (5 m / (4 N/20 N)) = 20 J.
However, due to the lack of specific information about the displacement of the load, we cannot definitively determine the output work based on the given scenario. For the purpose of answering the student's question with the available choices, the correct load arm should ensure that the output work equals the input work (assuming no losses), which implies:
Output Work / Load = Load Arm = 20 J / 20 N = 1 m.
The correct answer is A) (i) 20 J, (ii) 20 J, (iii) 1 m