Calculating the work done from an equation for variable force

  • #1

Homework Statement


The force on a particle is directed along an x axis and given by F = F0(x/x0 - 1) where x is in meters and F is in Newtons. If F0 = 1.5 N and x0 = 4.9 m, find the work done by the force in moving the particle from x = 0 to x = 2x0 m.

Homework Equations


F = force, w = work, x = displacement
W=F*x
∫F(x)dx = W

The Attempt at a Solution


Integral from 0 to 9.8 of ( 1.5 * (( x / 4.9) - 1) ) = -7.35 J
 

Answers and Replies

  • #2
Andrew Mason
Science Advisor
Homework Helper
7,656
383
Hi giveortake. Welcome to PF!

You should show us how you calculated your answer so we can see where you may have gone wrong.

It might be a good idea to do a graph of F(x). What shape is the graph? Where are the x and y intercepts? What does the area between the F(x) and the x axis represent? The graphs shows two areas, one below and one above the x axis. What can you say about the two areas?

AM
 
  • Like
Likes scottdave
  • #3
scottdave
Science Advisor
Homework Helper
Insights Author
1,802
761
That's not what I got.
Show the intermediate step: Integral of [(x/a) - 1]dx. Where a is a constant. The 1.5 can be moved out of the integral and multiplied at the end.
 

Related Threads on Calculating the work done from an equation for variable force

Replies
4
Views
10K
Replies
8
Views
1K
  • Last Post
Replies
4
Views
859
  • Last Post
Replies
4
Views
3K
  • Last Post
Replies
6
Views
15K
  • Last Post
Replies
3
Views
18K
  • Last Post
Replies
3
Views
6K
  • Last Post
Replies
7
Views
1K
  • Last Post
Replies
3
Views
2K
Replies
12
Views
16K
Top