A parallel plate capacitor is assembled using two square plates with a side length of 5.0 cm and a spacing of 1.0 mm between the plates. The electric field strength between the plates is 4.0 × 10⁷ V/m. If a proton is shot from the negative plate towards the positive plate and arrives moving at 3.2 × 10⁶ m/s, what was the proton's speed as it left the negative plate?

In a laboratory, two metal plates are separated by a vertical distance of 4.0 m. A 2.3 nC-charged spherical ball is shot from the lower plate (at a potential V = 0 V) toward the upper metal plate at 3.2 m/s. If the mass of the spherical ball is 3.0 g and the potential difference between the metal plates is 1.5 × 10⁶ V, determine the maximum height the ball will reach before it starts to fall down to the lower plate.

What is the maximum speed attained by an electron moving along the y-axis, given a potential function V(y) = V₀•sin(3πy/λ), where V₀ = 8000 V and λ = 2.5 mm, and the electron starts at y = 0 with an initial speed of 5.3 × 10⁷ m/s?

Consider a tiny particle that has a charge of -2e and a mass of 1.82 × 10^-30 kg that is accelerated through a potential difference of 1500V. If the particle starts from rest, determine what its final speed will be.

A proton is accelerated from rest to a speed of 3.0 × 10⁷ m/s. Find the potential difference needed to achieve this final speed.

In a certain experiment, a beam of electrons is accelerated from rest through a potential difference of 5000 V. If the electrons deliver 0.05J of electrical energy to a fluorescent material, how many electrons are launched through the potential to deliver the energy?