Question

kinetic friction force v. normal force
ordering question
click and drag on elements in order
rank the surfaces from lowest to highest values of coefficients of kinetic friction based on the graph.
instructions
highly polished table
sandpaper
rough table

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. This can be rewritten in the form \(y = mx\) (a linear equation), where \(y = F_{k}\), \(x = N\), and \(m=\mu_{k}\).

Step2: Analyze the slope of the lines in the graph

In a \(F_{k}\) vs \(N\) graph, the slope of the line gives the value of \(\mu_{k}\). The steeper the line (larger slope), the larger the value of \(\mu_{k}\).

Looking at the graph:

• The highly - polished table has the least - steep line.
• The rough table has a steeper line than the highly - polished table but less steep than the sandpaper.
• The sandpaper has the steepest line.

Answer:

highly polished table, rough table, sandpaper