An electron has momentum of magnitude 2.4 ×10^-22 kg ·m / s. What is the electron's speed?

Name: Problem 34, Chapter 26: College Physics
Uploaded: 2020-05-23T03:35:08-08:00
Duration: 6 min 12 s
Channel: Dading Chen
Description: An electron has momentum of magnitude 2.4 ×10^-22 kg ·m / s. What is the electron's speed?

step 1 In order to determine the speed of electrons, well, first we need the equation of the momentum,

An electron has momentum of magnitude 2.4 ×10^-22 kg ·m /...

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Key Concepts

Dimensional Analysis

Dimensional analysis is a technique used to verify that equations are consistent in terms of units. By ensuring that the units of momentum divided by mass yield the units of velocity, it confirms that the relationship and subsequent calculations are physically meaningful.

Velocity Calculation

In classical mechanics, the velocity of an object can be determined by dividing its momentum by its mass. This relationship, v = p/m, is essential for analyzing motion and is particularly used to calculate the speed of subatomic particles like electrons.

Electron Mass

The electron mass is a fundamental constant that plays a critical role in calculations involving electrons. When applying the momentum formula, knowing the electron mass allows us to determine its velocity, linking microscopic quantum properties with macroscopic measurements.

Momentum

Momentum is a physical quantity defined as the product of an object's mass and its velocity. It encapsulates the amount of motion the object has and is a fundamental concept in mechanics, applicable in both classical and quantum frameworks.

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