Acircular-motion addict of mass 81.0 kg rides a ferris wheel around in a vertical circle of radius 10.0 m at a constant speed of 6.10 m/s. (a) what is the period of the motion? what is the magnitude of the normal force on the addict from the seat when both go through (b) the highest point of the circular path and (c) the lowest point?

(a) 10.29 sec (b) 63.19 N (c)1652.4 N

Explanation:

We have given mass m =81 kg

Radius r = 10 m

Velocity v = 6.10 m/sec

(a) Time period of the motion

(b) At highest point net force

is given by where is centripetal acceleration

So

So

So

0.863333

86%

hope this

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.