---
title: "A block of mass \\(M\\) is placed on a horizontal, frictionless surface and pushed against an ideal spring with spring constant \\(k\\), compressing it a distance \\(d\\) from its equilibrium position. The block is released from rest and is launched by the spring. The block loses contact with the spring at the moment the spring reaches its equilibrium position. Which of the following is a correct expression for the average power delivered to the block by the spring during the time interval from release until the block loses contact?"
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url: "https://nerd-notes.com/ubq/110586/"
date_modified: "2026-04-07T05:20:32+00:00"
---

# A block of mass \(M\) is placed on a horizontal, frictionless surface and pushed against an ideal spring with spring constant \(k\), compressing it a distance \(d\) from its equilibrium position. The block is released from rest and is launched by the spring. The block loses contact with the spring at the moment the spring reaches its equilibrium position. Which of the following is a correct expression for the average power delivered to the block by the spring during the time interval from release until the block loses contact?

A block of mass \(M\) is placed on a horizontal, frictionless surface and pushed against an ideal spring with spring constant \(k\), compressing it a distance \(d\) from its equilibrium position. The block is released from rest and is launched by the spring. The block loses contact with the spring at the moment the spring reaches its equilibrium position. Which of the following is a correct expression for the average power delivered to the block by the spring during the time interval from release until the block loses contact?

![A horizontal line representing a frictionless surface is shown. On the far left, a thick vertical line represents a wall. A coiled spring is attached to the wall and extends to the right. A square block of mass \(M\) is shown in contact with the right end of the spring. The spring is compressed by a distance \(d\) from its dashed vertical equilibrium line. An arrow points from the block toward the right, indicating the direction of motion. Variables \(M\), \(k\), and \(d\) are labeled near their respective components.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1775539232-XxZMIB.jpg)

- **A.** \(\dfrac{k d^2 \sqrt{k}}{2 \pi \sqrt{M}}\)
- **B.** \(\dfrac{k d^2 \sqrt{k}}{4 \sqrt{M}}\)
- **C.** \(\dfrac{k d^2 \sqrt{k}}{\pi \sqrt{M}}\)
- **D.** \(\dfrac{2 k d^2 \sqrt{k}}{\pi \sqrt{M}}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/110586/*