# at what distance from the surface of the sphere is the electron’s speed half of its initial value?

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The electron’s speed is not constant, it changes with the distance from the surface of a sphere. To calculate how far away an electron must be for its speed to be half of its initial value, we need to know what the initial value is. The book “Physics: A Straightforward Approach” says that “the speed of electrons near the surface of a metal object such as a coin or aluminum foil can vary by more than ten thousand times.”

In this case, the initial value is not given yet. So it’s impossible to calculate how far away an electron must be for its speed to be half of its initial value. If you want more information about constants and variable in physics, read our other blog post “What Are Constants?”

The idea here would be that the farther a particle from metal surface goes (the sphere), then the slower its velocity becomes – but at some point, there will come a distance where that line starts to curve upwards again because electrons are constantly being emitted by metals as they pass near them; this process slows down with time until finally everything stops when another electron can’t get close enough any closer without colliding into something else instead. This theoretical distance is called the “electron’s de-Broglie wavelength” and it was first explained by a physicist named Louis De Broglie.