---
title: "The launching mechanism of a toy gun consists of a spring with an unknown spring constant, \\( k \\). When the spring is compressed \\( 0.120 \\, \\text{m} \\) vertically, a \\( 35.0 \\, \\text{g} \\) projectile is able to be fired to a maximum height of \\( 25 \\, \\text{m} \\) above the position of the projectile when the spring is compressed. Assume that the barrel of the gun is frictionless."
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url: "https://nerd-notes.com/ubq/47207/"
date_modified: "2024-09-20T08:27:04+00:00"
---

# The launching mechanism of a toy gun consists of a spring with an unknown spring constant, \( k \). When the spring is compressed \( 0.120 \, \text{m} \) vertically, a \( 35.0 \, \text{g} \) projectile is able to be fired to a maximum height of \( 25 \, \text{m} \) above the position of the projectile when the spring is compressed. Assume that the barrel of the gun is frictionless.

The launching mechanism of a toy gun consists of a spring with an unknown spring constant, \( k \). When the spring is compressed \( 0.120 \, \text{m} \) vertically, a \( 35.0 \, \text{g} \) projectile is able to be fired to a maximum height of \( 25 \, \text{m} \) above the position of the projectile when the spring is compressed. Assume that the barrel of the gun is frictionless.

**Part a)** Where will you set \(y = 0\)? Explain your reasoning. *(3 points)*

**Part b)** Determine the spring constant of the spring. *(3 points)*

**Part c)** Determine the speed that the projectile is traveling the moment it leaves the spring. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/47207/*