---
title: "A bullet of mass \\(0.0500 \\, \\text{kg}\\) traveling at \\(50.0 \\, \\text{m/s}\\) is fired horizontally into a wooden block suspended from a long rope. The mass of the wooden block is \\(0.300 \\, \\text{kg}\\) and it is initially at rest. The collision is completely inelastic and after impact the bullet + wooden block move together until the center of mass of the system rises a vertical distance \\(h\\) above its initial position."
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url: "https://nerd-notes.com/ubq/22794/"
date_modified: "2025-10-16T20:26:26+00:00"
---

# A bullet of mass \(0.0500 \, \text{kg}\) traveling at \(50.0 \, \text{m/s}\) is fired horizontally into a wooden block suspended from a long rope. The mass of the wooden block is \(0.300 \, \text{kg}\) and it is initially at rest. The collision is completely inelastic and after impact the bullet + wooden block move together until the center of mass of the system rises a vertical distance \(h\) above its initial position.

A bullet of mass \(0.0500 \, \text{kg}\) traveling at \(50.0 \, \text{m/s}\) is fired horizontally into a wooden block suspended from a long rope. The mass of the wooden block is \(0.300 \, \text{kg}\) and it is initially at rest. The collision is completely inelastic and after impact the bullet + wooden block move together until the center of mass of the system rises a vertical distance \(h\) above its initial position.

**Part a)** Calculate velocity of the bullet + wooden block just after impact. *(3 points)*

**Part b)** Calculate the vertical distance \(h\) reached by the bullet and wooden block. *(3 points)*

**Part c)** Which of the following two would have the greater effect on the height of the bullet block system: (i) doubling the bullet’s velocity (ii) doubling the bullet’s mass (iii) Neither. Justify your answer. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/22794/*