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# minimum surface charge density on the plate to stop protons

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Protons exit a high speed proton machine at a speed of 1.50 * 10^6 m/s. A device needs to stop the protons safely.
Protons will embed themselves in a metal target, but protons traveling faster than 1.30 * 10^5 m/s emit dangerous x rays when they hit. The protons must be slowed down to an acceptable speed, then let them hit a target.

You take two metal plates, space them 2.60 cm apart, then drill a small hole through the center of one plate to let the proton beam enter. The opposite plate is the target in which the protons will embed themselves.

A) What are the minimum surface charge densities, in C/m^2, you need to place on each plate?

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It finds the minimum surface charge density on the plate to stop protons. The solution is detailed and was rated '5/5' by the student who posted the question.

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Protons exit a high speed proton machine at a speed of 1.50 * 10^6 m/s. A device needs to stop the protons safely. Protons will embed themselves in a metal target, but protons traveling faster than 1.30 * 10^5 m/s emit dangerous x rays when they hit. The protons must be slowed down to an acceptable speed, ...

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