---
title: "A mass \\( m_1 \\) traveling with an initial velocity \\( v \\) has an elastic collision with a mass \\( m_2 \\) that is initially at rest."
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url: "https://nerd-notes.com/ubq/91220/"
date_modified: "2025-05-07T02:10:04+00:00"
---

# A mass \( m_1 \) traveling with an initial velocity \( v \) has an elastic collision with a mass \( m_2 \) that is initially at rest.

A mass \( m_1 \) traveling with an initial velocity \( v \) has an elastic collision with a mass \( m_2 \) that is initially at rest.

**Part a)** Determine the final velocity \( v_1 \) of \( m_1 \) in terms of \( m_1 \), \( m_2 \), and \( v \). *(3 points)*

**Part b)** Determine the final velocity \( v_2 \) of \( m_2 \) in terms of \( m_1 \), \( m_2 \), and \( v \). *(3 points)*

**Part c)** For what values of \( m_1 \) and \( m_2 \) would the final velocities of the two masses be in the same direction? The opposite direction? *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/91220/*