Question

Henry can lift a 200 N load 20 m up a ladder in 40 s. Ricardo can lift twice the load up one-half the distance in the same amount of time.

Which comparison between Ricardo and Henry is correct?

Ricardo exerted a greater force, did the same amount of work, and had the same power output as Henry.
Ricardo exerted a greater force, did the same amount of work, and had a greater power output than Henry.
Ricardo exerted a greater force, did less work, and had a lower power output than Henry.
Ricardo exerted a smaller force, did more work, and had the same power output as Henry.

Answer 1

To analyze the situation involving Henry and Ricardo, we need to calculate the work done, the force exerted, and the power output for both individuals.

### For Henry:

- **Load:** 200 N
- **Distance:** 20 m
- **Time:** 40 s

**Work done (W) by Henry:**
\[
W_H = \text{Force} \times \text{Distance} = 200 \, \text{N} \times 20 \, \text{m} = 4000 \, \text{J}
\]

**Power output (P) by Henry:**
\[
P_H = \frac{W_H}{\text{Time}} = \frac{4000 \, \text{J}}{40 \, \text{s}} = 100 \, \text{W}
\]

### For Ricardo:

- **Load:** 400 N (twice Henry's load)
- **Distance:** 10 m (one-half of Henry's distance)
- **Time:** 40 s

**Work done (W) by Ricardo:**
\[
W_R = \text{Force} \times \text{Distance} = 400 \, \text{N} \times 10 \, \text{m} = 4000 \, \text{J}
\]

**Power output (P) by Ricardo:**
\[
P_R = \frac{W_R}{\text{Time}} = \frac{4000 \, \text{J}}{40 \, \text{s}} = 100 \, \text{W}
\]

### Summary of Comparisons:
- **Force exerted:**
- Ricardo exerted a greater force (400 N) than Henry (200 N).

- **Work done:**
- Both did the same amount of work (4000 J).

- **Power output:**
- Both had the same power output (100 W).

### Correct Comparison:
Based on this analysis:

**The correct comparison is:**
"Ricardo exerted a greater force, did the same amount of work, and had the same power output as Henry."