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5. what did you find for the coefficient of static friction? is it larg…

Question

  1. what did you find for the coefficient of static friction? is it larger than the coefficient of kinetic friction?

Explanation:

Step1: Recall friction - coefficient concept

The coefficient of static friction ($\mu_s$) is the ratio of the maximum static - frictional force ($F_{s,max}$) to the normal force ($N$), i.e., $\mu_s=\frac{F_{s,max}}{N}$. The coefficient of kinetic friction ($\mu_k$) is the ratio of the kinetic - frictional force ($F_k$) to the normal force ($N$), i.e., $\mu_k = \frac{F_k}{N}$.

Step2: Compare values

In general, the maximum static frictional force is greater than the kinetic frictional force for the same two surfaces in contact. Mathematically, $F_{s,max}>F_k$ when the normal force $N$ is the same. Since $\mu_s=\frac{F_{s,max}}{N}$ and $\mu_k=\frac{F_k}{N}$, we can conclude that $\mu_s>\mu_k$.

Answer:

In general, the coefficient of static friction is larger than the coefficient of kinetic friction. However, without specific experimental data, we cannot give a numerical value for the coefficient of static friction. But we can say that $\mu_s>\mu_k$ based on the nature of static and kinetic friction.