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## Homework Statement

A train engine climbs a hill. The engine is 30% efficient. The train has a mass of 12000kg. The hill is 750m in height, with an incline of 20° form the horizontal. Friction exerts a force opposing motion of 8000N throughout the climb. Find w, Q

_{in}and Q

_{out}for the engine.

## Homework Equations

We have only covered the first law, and some equations for various types of work:

dE/dt = Q

_{in}- Q

_{out}- w

w = Fd

## The Attempt at a Solution

I assume I have to first solve for the forces as if it were an inclined plane problem. I'm used to the friction being the opposite way, so I am a little confused about how to resolve these forces. I think the work will be:

F

_{||}* hypotenuse of the incline.

But would this work be the work done by the engine? It just seems strange to me since I'm thinking that is due to the train itself, and not the engine within the train. Here's what I have so far: