To find the maximum speed the car can travel without slipping, you can use the formula:
v = sqrt(μ * g * r)
where v is the maximum velocity, μ is the coefficient of friction, g is the acceleration due to gravity (9.8 m/s^2), and r is the radius of the turn.
Plugging in the given values, you get:
v = sqrt(0.60 * 9.8 m/s^2 * 75 m) = sqrt(45.9 m^2/s^2) = 6.8 m/s
So the maximum speed the car can travel without slipping is approximately 6.8 m/s.
It's important to note that this formula assumes that the car is following a circular path around the turn and that the friction force is the only force acting on the car. If either of these conditions is not met, the actual maximum speed may be slightly different.