A 65 kg shopper in riding an up-going escalator, which has an incline of 31 degrees with respect to the horizontal. It is moving at 6 m/s. The top of the escalator is 24 m above the ground. Required:
a. Calculate how much work is done by the friction force between the shoes of the shopper and the step of the escalator as the shopper moves from the bottom to the top of the escalator.
b. Calculate how much work is done by gravity for the ride from the bottom to the top of the escalator.
c. Calculate the potential Energy the woman has at the top of the escalator.

i believe there is something wrong in your question

Explanation:

b) phosphorus pentoxide

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.