Power Needed to Pull Skier Up Slope

[Jm4872]

Homework Statement

A skier of mass 78.7 kg is pulled by a motor-driven cable up a 31.9 ° slope at a constant speed of 1.04 m/s. If the coefficient of kinetic friction between the skis and the slope is 0.270, what power must be delivered by the motor pulling the cable?

Homework Equations

P=FV

The Attempt at a Solution

The Fnet of the skier will be 0 because the velocity is constant.
To find the F|| of the skier I used the equation mgsin(x) and umg to find Force friction(Ff)
Therefore, T=F||-Ff
and therefore P=T*v
but everytime I do this I get the wrong answer, and I don't know why??Please help!

 

[Chi Meson]

To find the force of friction, you need the normal force, which is balancing w_perpendicular (mg cos x). Force of friction is mu times this normal force.

And also, are w_parallel and friction in the same direction as each other, or opposite? Is just one of these forces or both of them pointing opposite of tension?