For question 20 a) it asks to discover the occupational done. I recognize I have actually to uncover the complete area under the graph but I"m not certain whether I have actually to include or subtract the area the the part that is listed below the x axis.

You are watching: Area under force vs position graph

Image that Question

Graphs were created to aid give us a mental snapshot the gimpppa.org actions and also relationships the they represent.

Work is the carry of energy to or indigenous a mechanism or object by a force exerted through a distance. Job-related that transfers power to the mechanism is positive, and work the transfers energy out of it is negative. Therefore the work done is the positive occupational minus the an unfavorable work (speaking mathematically, that"s the confident plus the negative).

When the force is negative, the is in reality counteracting the displacement. That is without doubt working against it, act negative work-related which naturally have to be subtracted.

When in doubt, constantly think of the initial reason the you uncover the area - The factor is the formula because that work:

$$W=int vec Fcdot dvec x$$

Integrals are constantly the area under the graph. If you think of this area as many, many, plenty of thin coloumns packed close, then the formula mirrors height times width of each coloumn; in this situation force time displacement - which is the area of every coloumn. And also the integral-symbol $int$ then sums it all approximately the complete area.

If the pressure i negative, climate you have negative force times displacement. This of course offers a negative an outcome for each of those coloumns. As soon as all is synthetic together, these as such subtract from the total area.
re-publishing
mention
improve this price
monitor
answered Dec 3 "16 in ~ 11:46

SteevenSteeven
$endgroup$
include a comment |

Thanks because that contributing response to gimpppa.org ridge Exchange!

But avoid

Asking for help, clarification, or responding to various other answers.Making statements based upon opinion; earlier them increase with references or personal experience.

Use MathJax to layout equations. MathJax reference.

See more: Oil Filter For 2001 Hyundai Elantra, Fram Ultra® Spin

Draft saved

authorize up utilizing Email and Password
send

### Post together a guest

name
email Required, yet never shown

### Post together a guest

surname
email

Required, but never shown

## Not the price you're spring for? Browse other questions tagged homework-and-exercises newtonian-mechanics pressures work or questioning your own question.

Featured top top Meta
related
1
job-related as an integral the mass end velocity?
0
Confusion regarding area native graph
1
concern on systems for complete F vs x graph
0
Area of a Trapezoid formula doesn't seem come work? (In calculating work)
0
Area of a Harmonic Oscillator in phase room
0
What is the math function, audit for special relativity, for a graph that velocity vs. Time?
1
how do i calculate the area under this curve native the graph?
1
work done through a spring on a block
hot Network concerns more hot inquiries

question feed

gimpppa.org
company
stack Exchange Network
site style / logo design © 2021 ridge Exchange Inc; user contributions licensed under cc by-sa. Rev2021.10.19.40496

gimpppa.org stack Exchange works finest with JavaScript enabled