Question

multiple choice question
the coefficient of kinetic friction is the slope of a line on a graph of kinetic friction force v. normal force. it relates
the applied force to the force of gravity.
the force of gravity to the normal force.
the frictional force to the force of gravity.
the frictional force to the normal force.

Explanation:

Step1: Recall the formula for kinetic friction

The formula for kinetic friction is \(F_{k}=\mu_{k}N\), where \(F_{k}\) is the kinetic - friction force, \(\mu_{k}\) is the coefficient of kinetic friction, and \(N\) is the normal force.

Step2: Rearrange the formula to find the relationship

We can rewrite the formula as \(\mu_{k}=\frac{F_{k}}{N}\). In a graph of \(F_{k}\) (y - axis) versus \(N\) (x - axis), the slope of the line is given by \(\text{slope}=\frac{\Delta y}{\Delta x}\). Here, \(y = F_{k}\) and \(x = N\), so \(\text{slope}=\frac{F_{k}}{N}=\mu_{k}\). This shows that the coefficient of kinetic friction \(\mu_{k}\) relates the frictional force \(F_{k}\) to the normal force \(N\).

Answer:

the frictional force to the normal force.