---
title: "Four winches move shipping containers at constant speeds under different physical conditions, as summarized in the table.  | Winch | Container Mass | Motion Details | Time Interval | |—|—|—|—| | 1 | \\(m\\) | Lifts vertically through height \\(h\\) | \\(t\\) | | 2 | \\(2m\\) | Pulls horizontally distance \\(2h\\) (friction coefficient \\(\\mu_k = 0.5\\)) | \\(t\\) | | 3 | \\(m\\) | Pulls up frictionless \\(30^\\circ\\) ramp to vertical height \\(h\\) | \\(0.5t\\) | | 4 | \\(3m\\) | Lifts vertically through height \\(2h\\) | \\(t\\) |  Which of the following correctly ranks the average mechanical power output \\(P\\) delivered by each winch?"
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url: "https://nerd-notes.com/ubq/119062/"
date_modified: "2026-08-18T04:47:16+00:00"
---

# Four winches move shipping containers at constant speeds under different physical conditions, as summarized in the table.

| Winch | Container Mass | Motion Details | Time Interval |
|—|—|—|—|
| 1 | \(m\) | Lifts vertically through height \(h\) | \(t\) |
| 2 | \(2m\) | Pulls horizontally distance \(2h\) (friction coefficient \(\mu_k = 0.5\)) | \(t\) |
| 3 | \(m\) | Pulls up frictionless \(30^\circ\) ramp to vertical height \(h\) | \(0.5t\) |
| 4 | \(3m\) | Lifts vertically through height \(2h\) | \(t\) |

Which of the following correctly ranks the average mechanical power output \(P\) delivered by each winch?

Four winches move shipping containers at constant speeds under different physical conditions, as summarized in the table.

| Winch | Container Mass | Motion Details | Time Interval |
|---|---|---|---|
| 1 | \(m\) | Lifts vertically through height \(h\) | \(t\) |
| 2 | \(2m\) | Pulls horizontally distance \(2h\) (friction coefficient \(\mu_k = 0.5\)) | \(t\) |
| 3 | \(m\) | Pulls up frictionless \(30^\circ\) ramp to vertical height \(h\) | \(0.5t\) |
| 4 | \(3m\) | Lifts vertically through height \(2h\) | \(t\) |

Which of the following correctly ranks the average mechanical power output \(P\) delivered by each winch?

- **A.** \(P_4 > P_3 > P_2 > P_1\)
- **B.** \(P_4 > P_2 > P_3 > P_1\)
- **C.** \(P_4 > P_2 = P_3 = P_1\)
- **D.** \(P_4 > P_2 = P_3 > P_1\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/119062/*