---
title: "An automated actuator exerts a variable force along the x-axis on an object, given by the function \\(F(x) = bx^2 + c\\), where \\(b = 3.0 \\text{ N/m}^2\\) and \\(c = 4.0 \\text{ N}\\). What is the work done by this force on the object as it moves from \\(x = 1.0 \\text{ m}\\) to \\(x = 2.0 \\text{ m}\\)?"
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url: "https://nerd-notes.com/ubq/117539/"
date_modified: "2026-08-04T07:48:56+00:00"
---

# An automated actuator exerts a variable force along the x-axis on an object, given by the function \(F(x) = bx^2 + c\), where \(b = 3.0 \text{ N/m}^2\) and \(c = 4.0 \text{ N}\). What is the work done by this force on the object as it moves from \(x = 1.0 \text{ m}\) to \(x = 2.0 \text{ m}\)?

An automated actuator exerts a variable force along the x-axis on an object, given by the function \(F(x) = bx^2 + c\), where \(b = 3.0 \text{ N/m}^2\) and \(c = 4.0 \text{ N}\). What is the work done by this force on the object as it moves from \(x = 1.0 \text{ m}\) to \(x = 2.0 \text{ m}\)?

- **A.** \(11 \text{ J}\)
- **B.** \(16 \text{ J}\)
- **C.** \(21 \text{ J}\)
- **D.** \(25 \text{ J}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117539/*