A little bit more complicated.
Weight is a force, Fp is a force, so you determine that horizontal Fp is a fraction of Wp.
In other words you determine that the horizontal acceleration is 0.36 gravitational acceleration or 0.36g.

Some confusion is created because in United States customary units, the pound can be either a unit of force or a unit of mass.

The other thing is that in fact we determine an horizontal acceleration u= 0.36g, we do not calculate the g which is the gravitational acceleration.
We still ask how much is g when we should ask "what fraction of g" should we use.
When we insert in Caesar the 0.36 we specify that Caesar need to calculate a horizontal force equal 0.36*weight
do not know if I succeded to clarify.