# Total traslational kinetic energy problem

• amandamarie29
In summary, total translational kinetic energy is the sum of the kinetic energies of all moving objects in a system. It can be calculated using the formula TKE = 1/2mv^2, where m is mass and v is velocity. The energy is directly related to temperature and affects the behavior of a system, including speed, direction, and ability to overcome external forces. It can be changed through various factors and is constant in a closed system but can be affected by energy entering or leaving an open system.
amandamarie29

## Homework Statement

What is the total translational kinetic energy in a classroom filled with nitrogen at 1.01 x 10^5 Pa and 20.7 degrees C? The dimensions of the classroom are 4.60 m x 5.20 m x 8.80 m.

## Homework Equations

Translational kinetic energy can be expressed as
Et = 1/2 mv2 (1)
where
Et = kinetic translation energy (Joule, ft lb)
m = mass (kg, slugs)
v = velocity (m/s, ft/s)
one slug = 32.1740 pounds (as mass) - lbm

## The Attempt at a Solution

this is as far as i got..

use the Maxwell–Boltzmann distribution formula...that is the equation you need to use.

## 1. What is total translational kinetic energy?

Total translational kinetic energy refers to the sum of the kinetic energies of all the objects moving in a system. It is a measure of the energy associated with the overall movement of an object or a group of objects.

## 2. How is total translational kinetic energy calculated?

The formula for calculating total translational kinetic energy is TKE = 1/2mv^2, where m is the mass of the object and v is its velocity. This formula can be applied to each individual object in a system and then summed to find the total kinetic energy.

## 3. What is the relationship between total translational kinetic energy and temperature?

The total translational kinetic energy of a system is directly related to the temperature of the system. As the temperature increases, the average kinetic energy of the particles in the system also increases, resulting in a higher total translational kinetic energy.

## 4. How does total translational kinetic energy affect the behavior of a system?

Total translational kinetic energy affects the behavior of a system in several ways. It determines the speed and direction of the objects in the system, as well as their ability to overcome external forces. It also plays a role in collisions and the transfer of energy between objects.

## 5. Can total translational kinetic energy be changed?

Yes, total translational kinetic energy can be changed through various factors such as changes in velocity, mass, or temperature. It can also be altered through external forces acting on the system, such as friction or gravity. In a closed system, the total translational kinetic energy will remain constant, but in an open system, it can be affected by energy entering or leaving the system.

• Introductory Physics Homework Help
Replies
1
Views
531
• Introductory Physics Homework Help
Replies
12
Views
1K
• Introductory Physics Homework Help
Replies
9
Views
1K
• Introductory Physics Homework Help
Replies
8
Views
1K
• Introductory Physics Homework Help
Replies
1
Views
13K
• Introductory Physics Homework Help
Replies
15
Views
2K
• Introductory Physics Homework Help
Replies
22
Views
3K
• Introductory Physics Homework Help
Replies
5
Views
1K
• Introductory Physics Homework Help
Replies
7
Views
3K
• Introductory Physics Homework Help
Replies
3
Views
3K