# Exploring the Dynamics of Two Charged Beads

• LoreleiX
In summary, two charged beads, Q1 and Q2, are placed on a long frictionless (insulating) rod with mass 10g and charge 2uC each. Q1 is set in motion at a velocity of 10 m/s towards Q2, which is fixed in place. The question is how close Q1 will get to Q2 before reversing its direction of motion and what is the maximum force exerted on Q1. The principle of conservation of energy can be used to solve this problem, taking into account the initial total energy and the fact that the beads are initially very far apart.
LoreleiX

## Homework Statement

Two charged beads, Q1 and Q2, are placed on a long frictionless (insulating) rod. Initially they are very far apart; the bead Q2 is glued in place and does not move. Both beads have mass 10g and carry charge 2uC. Q1 is set in motion at a velocity v= 10 m/s towards Q2.

A) How close does Q1 get to Q2 before reversing its direction of motion?

B) What is the maximum force exerted on charge Q1?

## Homework Equations

This is kinda how the diagram that goes with it looks like:

<-------*-----------------------------------------*-------------------->

In which the first asterix is Q1 -->
and the second asterix is the fixed Q2

## The Attempt at a Solution

I don't know where to start. Don't i need to know how far apart they are in order to find out how close Q1 will get? Ugh.

Perhaps you could use the principle of conservation of energy: consider the initial total energy (kinetic + potential) and set that equal to the total energy when the relative velocity is zero. The "very far apart" initial condition may simplify this expression.

## 1. What is the purpose of exploring the dynamics of two charged beads?

The purpose of exploring the dynamics of two charged beads is to understand the behavior and interactions of charged particles in a system. This can have applications in various fields such as physics, chemistry, and materials science.

## 2. How are the beads charged and what are their charges?

The beads are typically charged by rubbing them against a material with a different electron affinity, creating a transfer of electrons. The charges on the beads can be either positive or negative, depending on the material they are rubbed against.

## 3. What factors affect the dynamics of the charged beads?

The dynamics of the charged beads are affected by several factors, including the distance between the beads, the strength of the charges, and the medium in which they are suspended. Other factors such as external electric or magnetic fields can also influence their behavior.

## 4. What types of experiments can be performed with two charged beads?

There are various types of experiments that can be performed with two charged beads, such as measuring the strength of their charges, studying their interactions in different mediums, and observing how they behave under the influence of external fields. These experiments can provide valuable insights into the behavior of charged particles in different conditions.

## 5. How does the dynamics of two charged beads relate to other areas of study?

The dynamics of two charged beads is closely related to other areas of study, such as electrostatics, electromagnetism, and colloidal science. Understanding the behavior and interactions of charged particles is crucial in these fields and can lead to advancements in technology and materials.

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