---
title: "A cart of mass \\(M = 2.0 \\text{ kg}\\) is initially at rest on a horizontal, frictionless track. A force sensor is used to measure the net horizontal force \\(F\\) exerted on the cart as it moves along the \\(x\\)-axis. The data from the sensor is used to generate the graph of \\(F\\) as a function of position \\(x\\) shown below. What is the kinetic energy of the cart when it reaches the position \\(x = 4.0 \\text{ m}\\)?"
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url: "https://nerd-notes.com/ubq/110113/"
date_modified: "2026-03-27T05:26:53+00:00"
---

# A cart of mass \(M = 2.0 \text{ kg}\) is initially at rest on a horizontal, frictionless track. A force sensor is used to measure the net horizontal force \(F\) exerted on the cart as it moves along the \(x\)-axis. The data from the sensor is used to generate the graph of \(F\) as a function of position \(x\) shown below. What is the kinetic energy of the cart when it reaches the position \(x = 4.0 \text{ m}\)?

A cart of mass \(M = 2.0 \text{ kg}\) is initially at rest on a horizontal, frictionless track. A force sensor is used to measure the net horizontal force \(F\) exerted on the cart as it moves along the \(x\)-axis. The data from the sensor is used to generate the graph of \(F\) as a function of position \(x\) shown below. What is the kinetic energy of the cart when it reaches the position \(x = 4.0 \text{ m}\)?

![A graph of Net Force F in Newtons versus Position x in meters. The vertical axis F ranges from 0 to 12 with major tick marks every 2 units. The horizontal axis x ranges from 0 to 5 with major tick marks every 1 unit. The graph consists of two segments: a linear segment starting at (0, 0) and increasing to (2.0, 10.0), and a horizontal segment starting at (2.0, 10.0) and continuing at a constant value of 10.0 N until it ends at (4.0, 10.0).](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1774589213-feNzMO.jpg)

- **A.** \(10 \text{ J}\)
- **B.** \(20 \text{ J}\)
- **C.** \(30 \text{ J}\)
- **D.** \(40 \text{ J}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/110113/*