Work required to push a 36 kg box up a ramp with friction

[billyghost]

How much work was required to push a 36 kg box from the bottom of a ramp a distance of 10 m to the top of 1.7 m above the ground if the friction force between the box and the ramp is 20 N? Help? Formulas?

 

[Doc Al]

To push the box up the ramp required:
(1) work against gravity (which equals the increase in gravitational potential energy).
(2) work against friction (think W = Force x Distance).

Figure these two out and add them to find the total work required.

 

[billyghost]

The 20 N friction force is the part I'm unsure about.

 

[Doc Al]

You know the force needed to overcome the friction (20 N). So over what distance do you have to push against friction in raising the box?