---
title: "A small electric motor is used to lift a light crate. A sensor records the power \\(P\\) delivered by the motor as a function of time \\(t\\), as shown in the graph. Any energy dissipated due to friction within the motor is negligible.  What is the total work done by the motor on the crate between \\(t = 0\\text{ s}\\) and \\(t = 8\\text{ s}\\)?"
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url: "https://nerd-notes.com/ubq/112641/"
date_modified: "2026-04-30T01:18:39+00:00"
---

# A small electric motor is used to lift a light crate. A sensor records the power \(P\) delivered by the motor as a function of time \(t\), as shown in the graph. Any energy dissipated due to friction within the motor is negligible.

What is the total work done by the motor on the crate between \(t = 0\text{ s}\) and \(t = 8\text{ s}\)?

A small electric motor is used to lift a light crate. A sensor records the power \(P\) delivered by the motor as a function of time \(t\), as shown in the graph. Any energy dissipated due to friction within the motor is negligible.

What is the total work done by the motor on the crate between \(t = 0\text{ s}\) and \(t = 8\text{ s}\)?

![A graph of Power P in Watts versus time t in seconds. The horizontal axis (t) ranges from 0 to 8 seconds with major grid lines at 0, 2, 4, 6, and 8. The vertical axis (P) ranges from 0 to 25 Watts with major grid lines at 0, 5, 10, 15, 20, and 25. A solid line starts at (0,0), increases linearly to (2,20), remains constant at 20 Watts until t=6, and then decreases linearly to (8,0).](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-graph-1-1777511918-3MTuKL.jpg)

- **A.** \(10\text{ J}\)
- **B.** \(80\text{ J}\)
- **C.** \(120\text{ J}\)
- **D.** \(160\text{ J}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/112641/*