Answer:
![(F_(f))/(m*g*cos(x)) =u](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xlosvkthsy8d5uzbfgl9eat74hsol92xtc.png)
Explanation:
The statement says the following:
![F_(f)= u*F_(N) \\F_(N)=m*g*Cos(∅)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/60doze8lckoy1un0v71x6z4r96e7safpon.png)
We need to find 'u' given that we know the following terms:
, m, g, ∅
The way to do that is to substitute not known expression into known expression, we will use the expression of
in
![F_(F)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/wgxortix1atxh9m94x7nvg9tvlprlr1eor.png)
This leads to
![F_(f)=u*m*g*cos(∅)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pmdbo4xi2z0in9set0exkrl0gfkg5rqvpv.png)
Finally we can obtain 'u' by dividing the whole equation with the terms that are with 'u'
We have this
![(F_(f))/(m*g*cos(x)) =u](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xlosvkthsy8d5uzbfgl9eat74hsol92xtc.png)
Where 'u' is the variable that you are looking for