simple stellar models consider a sphere of mass m and radius r. calculate the gravitational potential energy inside the sphere as a function of radius p(r), assuming (a) a density ρ const which is independent of the distance to the center (b) a density which increases towards the centre according to in both cases (a) and (b), write down the volume-averaged average internal pressure needed for hydrostatic pressure, and determine how the pressure within the spher e depends on the distance from the centre

answer: the direction of the wind is expressed as the direction from which the wind is blowing. for example, easterly winds blow from east to west, while westerly winds blow from west to east.

explanation:

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.

answerdmitry mendeleyev made a workable classification of the elements