How Do You Calculate the Power of a Car's Engine on an Incline?

[adam112]

i have this question for an engineering science assignment, and can't remember how to work it out, any help would be greatly appreciated.

Question:
A car of mass 1500kg has a max speed of 144km/h up an incline of 1 in 49 against a frictional resistance of 500N. Calculate the power of the engine.

 

[denverdoc]

Neglecting the usual frictional losses in the engine and drivetrain, air resistance, etc, which reduce auto efficiency to about 25%, it would seem at a steady state where acceleration=0, whatever force being generated is just equal to the opposing gravitational force and frictional force. I would think then that you need to look at the displacement, both vertical and against friction to compute the work done by the engine. Hope that's a help as one is supposed to show work prior to any major assistance being given.