Question

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 2.6 m/s around a curve with a radius of 0.80 m when it started to slip. What was the coefficient of static friction between the quails feet and the ground in this trial?

Answer 1

`u_K=0.862`

Step-by-step explanation:

The force of friction between the quails feet and the ground is:

`F=m*a`

`F_K=m*a`

`F_K=u_k*m*g`

`u_K*m*g=m*a_c`

`u_K*g=a`

`u_K=(a_c)/(g)`

`a_c=(v^2)/(r)`

So the coefficient of static is solve

`u_K=((v^2)/(r))/(g)`

`u_K=(v^2)/(r*g)=((2.6m/s)^2)/(0.80m*9.8m/s^2)`

`u_K=0.862`