In the Bohr model of the hydrogen atom, a single electron revolves around a single proton in a circle of radius r. Assume that the proton remains at rest. A) By equating the electric force to the electron mass times its acceleration, derive an expression for the electron's speed. Express your answer in terms of electron's charge e, its mass m and orbit radius r. Express your answer in terms of the given quantities and appropriate constants.
B) Obtain an expression for the electron's kinetic energy. Express your answer in terms of the given quantities and appropriate constants.
C) Show that the electron's kinetic energy is just half that of the electric potential energy using your words. (I have no idea on this one, I assume it helps to answer B)
D) Obtain an expression for the total energy. Express your answer in terms of the given quantities and appropriate constants.
E) Calculate the total energy using r=5.29×10−11m. Give your answer in joules.
F) Give the answer of part (d) in eV.

the answer would most likely be c, because if it's a comical piece of information, it may likely not be true, if it's a site that allows anybody to edit the content, it could mean a five year old is typing the info, and if it's a tv show produced by a celeb, it may have a biased opinion.

i'm on my way to history not a mistory.

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.

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