Answer:
v=13.4 m/s
Explanation:
The centripetal acceleration the car experiments is due to friction, so what we need is to write our equation using the maximum static friction, which is the case on the verge of sliding:
[tex]ma_{cp}=f=\mu_s N[/tex]
Which means (since we are in a horizontal surface):
[tex]m\frac{v^2}{R}=\mu_s mg[/tex]
So the maximum speed before sliding is:
[tex]v=\sqrt{\mu_s Rg}[/tex]
Which for our values is:
[tex]v=\sqrt{(0.683)(26.9m)(9.81m/s^2)}=13.4m/s[/tex]
