A ramp is 3 meters long and 1.5 meters high. The ramp is used to move a crate into a warehouse If it takes 60 N of force to move a crate that weighs 105 N up the ramp, what is the AMA?

A. 1
B. 2
C. 1.5
D. 1.75

Option D

Explanation:

We want the AMA here, not the IMA. The " Actual Mechanical Advantage " is associated with the force, not distance - so the ramp being 3 meters long and 1.5 meters high is unnecessary information. However, it would be valuable when calculating the IMA.

AMA = OF / IF, where OF - " Output Force, " and IF - " Input Force "

The input force should be 60 N, as you apply 60 newtons to move this crate up the inclined plane. Respectively 105 N is the output force,

AMA = 105 N / 60 N,

AMA = 1.75 - Option D

* The Actual Mechanical Advantage does not have units. Hope that helps! *

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.