---
title: "A block of mass \\(m\\) is attached to an ideal horizontal spring of force constant \\(k\\) and oscillates on a frictionless surface with total mechanical energy \\(E_0\\). The system’s velocity \\(v\\) as a function of position \\(x\\) is plotted over a complete cycle. The experiment is repeated using an identical spring and an oscillator of mass \\(2m\\), also with total mechanical energy \\(E_0\\). Which of the following graphs best represents the velocity \\(v\\) versus position \\(x\\) for the system of mass \\(m\\) (solid curve) and the system of mass \\(2m\\) (dashed curve)?"
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url: "https://nerd-notes.com/ubq/124266/"
date_modified: "2026-09-28T14:04:34+00:00"
---

# A block of mass \(m\) is attached to an ideal horizontal spring of force constant \(k\) and oscillates on a frictionless surface with total mechanical energy \(E_0\). The system’s velocity \(v\) as a function of position \(x\) is plotted over a complete cycle. The experiment is repeated using an identical spring and an oscillator of mass \(2m\), also with total mechanical energy \(E_0\). Which of the following graphs best represents the velocity \(v\) versus position \(x\) for the system of mass \(m\) (solid curve) and the system of mass \(2m\) (dashed curve)?

A block of mass \(m\) is attached to an ideal horizontal spring of force constant \(k\) and oscillates on a frictionless surface with total mechanical energy \(E_0\). The system's velocity \(v\) as a function of position \(x\) is plotted over a complete cycle. The experiment is repeated using an identical spring and an oscillator of mass \(2m\), also with total mechanical energy \(E_0\). Which of the following graphs best represents the velocity \(v\) versus position \(x\) for the system of mass \(m\) (solid curve) and the system of mass \(2m\) (dashed curve)?

- **A.** Graph A
- **B.** Graph B
- **C.** Graph C
- **D.** Graph D

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/124266/*