Question

A box is sliding up an incline that makes an angle of 15.0 degrees with respect to the horizontal. The coefficient of kinetic friction between the box and the surface of the incline is 0.180. The initial speed of the box and the surface of the incline is 1.50 m/s. How far does the box travel along the incline before coming to rest?

This is from Chapter 4, Forces and Newton's Laws of Motion.

Should I redefine the plane to make the x-axis the same line as the incline?

Answer 1

N=mgcosα
F(fr)= μN = μmgcosα
ma=F(fr)+mgsinα =>
ma= μmgcosα + mgsinα
a=g(μcosα+sinα)=....
s=v²/2a=....

Answer 2

What is F(fr)?