work done by force using graph

Question

The graph shows the x component of a force that acts on an object that moves on the x axis. The vertical spacing between adjacent grid lines is 5.06 N, while the horizontal spacing between adjacent grid lines is 1.0 m.

if you search this question you will find the image of the graph i am unable to insert an image here

What is the work done by the force, in joules, as the object moves from x = 4 m to x = 6 m?

i thought you would set up an integral and then solve but it keeps telling my answer is incorrect.

Answer 1

I could not find the picture of the graph you mentioned.

However, Work is equal to Force multiplied by Distance: W=Fx

Keep in mind, each box in the x direction is equivalent to 1m and EACH box in the y direction is equivalent to 5.06N. So, follow the line to find the point when X=4, when you find it slide your finger accross and find the corresponding Y value. (Please keep in mind as an example if the y value is 3 boxes up from the origin then you must multiply 5.06 by 3)

Repeat the same proccess for x=6, find the corresponding Y value for the line given to you. For each set that you found multiply force by distance this will give you the work at both points and the difference of the two will give you the work done.

I hope this helps, sorry that I was unable to see the picture to be more clear!