Question

multiple choice question
which equation properly describes the relationship between forces that determine the coefficient of kinetic friction?
$f_{n}=mu _{k}f_{f,kinetic}$
$mu _{k}=\frac {fn}{ft,kinetic}$
$mu _{k}=f_{n}f_{f,kinetic}$
$mu _{k}=\frac {ff,kinetic}{fn}$

Explanation:

Step1: Recall the formula for kinetic friction

The formula for kinetic friction is \(F_{f,kinetic}=\mu_{k}F_{N}\).

Step2: Rearrange the formula to solve for \(\mu_{k}\)

Dividing both sides of the equation \(F_{f,kinetic}=\mu_{k}F_{N}\) by \(F_{N}\), we get \(\mu_{k}=\frac{F_{f,kinetic}}{F_{N}}\).

Answer:

\(\mu_{k}=\frac{F_{f,kinetic}}{F_{N}}\) (the fourth option)