A proton moving at 500000m/s enters a series of charged parallel plates. What is the impact speed on the last plate.

That depends upon the voltages on the plates, and which ones the proton hits. Is that all the information you were given?

To calculate the impact speed of the proton on the last plate, we need to consider the electric field between the charged parallel plates.

Here's the step-by-step process to solve the problem:

1. Determine the acceleration of the proton:
- The proton experiences a force due to the electric field between the plates.
- The force experienced by a charged particle in an electric field is given by the equation: F = q * E, where F is the force, q is the charge of the particle, and E is the electric field strength.
- The electric field strength between the plates can be calculated using the equation: E = V/d, where E is the electric field strength, V is the potential difference between the plates, and d is the distance between the plates.
- The charge of a proton (q) is 1.6 x 10^(-19) Coulombs.
- Assuming that the potential difference (V) between the plates is known, plug in the values to calculate the electric field strength (E).
- Once you have the electric field strength (E), use the equation F = q * E to calculate the force experienced by the proton.
- The force experienced by the proton is given by Newton's second law: F = m * a, where m is the mass of the proton and a is its acceleration.
- Rearrange the equation to solve for acceleration: a = F / m.

2. Find the time taken:
- Since the proton is accelerated between the plates, it will take some time (t) to cross the distance between the plates.
- The distance between the plates (d) is given or can be measured.
- Use the equation of motion: d = 1/2 * a * t^2 to solve for time (t).

3. Calculate the final velocity:
- The final velocity (v) of the proton can be calculated using the equation: v = u + a * t, where u is the initial velocity of the proton.
- The initial velocity (u) of the proton is given as 500,000 m/s.
- Substitute the values of acceleration (a) and time (t) into the equation to calculate the final velocity (v).

By following these steps, you can calculate the impact speed of the proton on the last plate.