An infinitely long line of charge has linear charge den­sity 5.00x10^-12 C/m. A proton (mass 1.67x10^-27 kg, charge +1.60x10^-19 C) is 18.0 cm from the line and moving directly toward the line at 3.50x10^3 m/s. (a) Calculate the proton's initial kinetic energy.

Video transcript

Welcome back everybody. We are taking a look at a long horizontal wire here and we are told that a radioactive new Clyde amidst some sort of alpha particle towards that wire. Now we are told that the mass of this alpha particle is 6.64, 10 to the negative 27 kg. And we are told that its speed when it's at a certain position away from the wire is 1.4 times 10 to the seventh meters per second. And we need to calculate what the kinetic energy of this alpha particle is. We know the formula for kinetic energy is one half times mass times velocity squared. Let's go ahead and plug in all of our values. We have one half times 6.64 times 10 to the negative 27 kg times our velocity of 1. times 10 to the seventh meters per second squared. This when you plug this into your calculator gives us a final answer of 6. times 10 to the negative 13th jewels, which corresponds to our final answer choice of B. Thank you all so much for watching hope this video helped. We will see you all in the next one