---
title: "An electric motor is used to operate a winch that lifts a payload. The mechanical power \\(P\\) delivered by the motor as a function of time \\(t\\) is shown in the graph. What is the total work done by the motor on the payload between \\(t = 0\\text{ s}\\) and \\(t = 10\\text{ s}\\)?"
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url: "https://nerd-notes.com/ubq/120740/"
date_modified: "2026-08-23T04:42:56+00:00"
---

# An electric motor is used to operate a winch that lifts a payload. The mechanical power \(P\) delivered by the motor as a function of time \(t\) is shown in the graph. What is the total work done by the motor on the payload between \(t = 0\text{ s}\) and \(t = 10\text{ s}\)?

An electric motor is used to operate a winch that lifts a payload. The mechanical power \(P\) delivered by the motor as a function of time \(t\) is shown in the graph. What is the total work done by the motor on the payload between \(t = 0\text{ s}\) and \(t = 10\text{ s}\)?

![A quantitative graph showing power \(P\) in watts on the vertical axis as a function of time \(t\) in seconds on the horizontal axis. The horizontal axis extends from \(0\) to \(10\text{ s}\) with major tick marks and vertical gridlines labeled at \(0\), \(2\), \(4\), \(6\), \(8\), and \(10\). The vertical axis extends from \(0\) to \(70\text{ W}\) with major tick marks and horizontal gridlines labeled at \(0\), \(20\), \(40\), and \(60\). A single solid line plots the function: it begins at the origin \((0, 0)\), rises linearly with positive slope to the point \((4, 60)\), continues horizontally to the point \((8, 60)\), and then decreases linearly with negative slope to the point \((10, 0)\) on the horizontal axis. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-graph-1-1787460175-Ahzdms.jpg)

- **A.** \(300\text{ J}\)
- **B.** \(420\text{ J}\)
- **C.** \(480\text{ J}\)
- **D.** \(600\text{ J}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120740/*