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Determining Electric Field Acting on Protons

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Protons are projected with an initial speed v = 9550m/sec into region where the electric potential is given by V = 720z volts. The protons hit a target that lies a horizontal distance of 1.27 mm from the point where the protons are launched. Determine the electric field acting on the protons, and then find the two projection angles that will result in a hit and the total duration of the flight for each of the two trajectories.

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This solution helps determine the electric field acting on protons and find two projection angles.

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Protons are projected with an initial speed v = 9550m/sec into region where the electric potential is given by V = 720z volts. The protons hit a target that lies a horizontal distance of 1.27 mm from the point where the protons are launched. Determine the electric field acting on the protons, and then find the two projection angles that will result in a hit and the total duration of the flight for each of the two trajectories.

Solution:

z

usinθ u

θ Target
ucosθ
...

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