I know how to do problems involving the work-kinetic energy theoremwhen there is

Question

I know how to do problems involving the work-kinetic energy theoremwhen there is no friction involved, but how do I go about them whenthere is friction?
Here is an example problem:
A 40.0 N crate starting at rest slides down a rough 6.0 m longramp inclined at 30.0 degrees with the horizontal. The force offriction between the crate and the ramp is 6.0 N. Using thework-kinetic energy theorem, find the velocity of the crate at thebottom of the incline.
Here is an example problem:
A 40.0 N crate starting at rest slides down a rough 6.0 m longramp inclined at 30.0 degrees with the horizontal. The force offriction between the crate and the ramp is 6.0 N. Using thework-kinetic energy theorem, find the velocity of the crate at thebottom of the incline.

Explanation / Answer

The net force on the crate is      Fnet = (40.0 N)sin30 - 6.0 N From the work energy theorem              Work done = Change in kinetic energy                   Fnet s = (1/2)mv2 -0 Here m = (40.0 N)/(9.80 m/s2)           s = 6.0m Substitute the values for v.

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