---
title: "Two point particles with identical positive charges \\(q\\) are held at rest a distance \\(d\\) apart in isolated space. Particle 1 has mass \\(m\\) and Particle 2 has mass \\(2m\\). The particles are released from rest and accelerate away from each other due to their mutual electrostatic repulsion. What is the speed \\(v_1\\) of Particle 1 when the separation distance between the particles becomes very large?"
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url: "https://nerd-notes.com/ubq/118056/"
date_modified: "2026-08-04T08:04:56+00:00"
---

# Two point particles with identical positive charges \(q\) are held at rest a distance \(d\) apart in isolated space. Particle 1 has mass \(m\) and Particle 2 has mass \(2m\). The particles are released from rest and accelerate away from each other due to their mutual electrostatic repulsion. What is the speed \(v_1\) of Particle 1 when the separation distance between the particles becomes very large?

Two point particles with identical positive charges \(q\) are held at rest a distance \(d\) apart in isolated space. Particle 1 has mass \(m\) and Particle 2 has mass \(2m\). The particles are released from rest and accelerate away from each other due to their mutual electrostatic repulsion. What is the speed \(v_1\) of Particle 1 when the separation distance between the particles becomes very large?

![A horizontal line shows two small spherical particles labeled Particle 1 and Particle 2. Particle 1 is on the left, labeled with charge q and mass m. Particle 2 is on the right, labeled with charge q and mass 2m. A horizontal double-headed dimension line below the particles indicates a separation distance d between their centers. No other vectors, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785830695-3p3J89.jpg)

- **A.** \(\sqrt{\dfrac{q^2}{3\pi\varepsilon_0 m d}}\)
- **B.** \(\sqrt{\dfrac{q^2}{4\pi\varepsilon_0 m d}}\)
- **C.** \(\sqrt{\dfrac{q^2}{2\pi\varepsilon_0 m d}}\)
- **D.** \(\sqrt{\dfrac{2q^2}{3\pi\varepsilon_0 m d}}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118056/*