Calculating Work to Stop a Moving Electron

In summary, to stop an electron with a mass of 9.11×10-31 kg and a speed of 1.86×106 m/s, the work required is equal to the change in kinetic energy, which is equal to the initial kinetic energy of 1/2mv^2. The final kinetic energy will be zero. This means that the change in kinetic energy is equal to (minus) 1/2mv^2. This makes it much easier to solve the problem.
  • #1
strugglin-physics
47
0
How much work is required to stop an electron (m = 9.11×10-31 kg) which is moving with a speed of 1.86×106 m/s?

Ef-Ei=W
Kenetic E - Potential E = Work
I don't think there is any potential energy in this case...

I'm a bit stuck. Any suggestions?
 
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  • #2
Keep going. [itex]W = \Delta {KE}[/itex], so what's the kinetic energy of that electron?
 
  • #3
is the change in kenetic energy 1/2mv^2?
 
  • #4
The initial KE of the electron is 1/2mv^2; the final is zero. So, yes, the change in KE is (minus) 1/2mv^2.
 
  • #5
Great thank you that was a whole lot easier than I made it out to be!
 

Related to Calculating Work to Stop a Moving Electron

1. What is the "Work Electron Problem"?

The "Work Electron Problem" is a theoretical question in physics that deals with the nature of electrons and their behavior in relation to energy and work. It asks how much work must be done to move an electron from one point to another in a system.

2. Why is the "Work Electron Problem" important?

The "Work Electron Problem" is important because it helps scientists and researchers understand the behavior of electrons, which are fundamental particles in our universe. It also has practical applications in fields such as electronics, energy production, and materials science.

3. How is the "Work Electron Problem" solved?

The "Work Electron Problem" can be solved using various mathematical and theoretical models, such as classical mechanics, quantum mechanics, and electromagnetic theory. The solution may also depend on the specific system and conditions being studied.

4. What are some real-world examples of the "Work Electron Problem"?

Some examples of the "Work Electron Problem" in real-world scenarios include calculating the energy required to move an electron through a circuit, determining the work needed to excite an electron in a semiconductor, and understanding the energy transfer involved in photosynthesis.

5. How does the "Work Electron Problem" relate to other scientific concepts?

The "Work Electron Problem" is closely related to concepts such as energy, force, momentum, and electric fields. It also has connections to other areas of physics, such as thermodynamics, optics, and particle physics.

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