Biologists have studied the running ability of the northern quoll, a marsupial indigenous to australia in one set of experiments, they studied the maximum speed that quolls could run around a curved path without slipping. one quoll was running at 2.4 m/s around a curve with a radius of 1.6 m when it started to slip. what was the coefficient of static friction between the quoll's feet and the ground in this trial?

To solve this problem and find the coefficient of static friction, we will start by considering the balance between the frictional force in the animal and its centripetal force, therefore,

The friction force is defined as

Here,

Coefficient of static friction

N = Normal Force

And Centripetal Force is defined as,

Here,

m = Mass

v = Velocity

r = Radius

Equating,

Rearraning to find the coefficient of static friction,

Replacing,

Therefore the coefficient of static friction between the quoll's feet and the ground in this trial is 0.37

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