How Is Work Calculated When Friction Is Involved?

[BarCode]

Homework Statement

Calculate the work done by a 0.47N force pushing a 0.026kg pencil 0.26m against a force of friction of 0.23N.

Knowns:

F = 0.47N
m = 0.036kg
d = 0.26m
Ff = 0.23N

Homework Equations

Work = Force x Distance

The Attempt at a Solution

Since I know work = f*d, I do
w = 0.47N * 0.26m
= 0.1222J

I'm unsure of how to add friction into the calculation.

 

[Math Jeans]

No. I am pretty sure you are correct. The force is 0.47N, and the distance is 0.26m. The friction is merely slowing the pencil down, which does not effect work.