Final answer:
To determine the maximum speed a car can go without skidding, we calculate the maximum static friction force that the tires can provide. The maximum static friction force can be found using the formula fs = μs * N, where fs is the static friction force, μs is the coefficient of static friction, and N is the normal force.
Step-by-step explanation:
To determine the maximum speed a car can go without skidding, we need to calculate the maximum static friction force that the tires can provide. The maximum static friction force can be found using the formula fs = μs * N, where fs is the static friction force, μs is the coefficient of static friction, and N is the normal force. In this case, the normal force is equal to the weight of the car, which can be calculated as N = m * g, where m is the mass of the car and g is the acceleration due to gravity.
Using the given values, the maximum static friction force can be calculated as fs = (0.70) * (2.00 * 10^3 kg) * (9.8 m/s^2). Once we have the maximum static friction force, we can equate it to the centripetal force required to keep the car moving in a circular path, which is given by fs = m * v^2 / r, where v is the velocity of the car and r is the radius of the circular turn. Solving for v, we can find the maximum velocity the car can go without skidding.
Therefore, the maximum velocity the car can go without skidding is approximately 17.8 m/s.