A 1500 kg car is making a turn with a 100.0 m radius on a road where the coefficient of static friction is 0.70. What is the maximum speed the car can go without skidding ? Input your answer with correct sig digs and no units.

Respuesta :

Answer:

26 m/s

Explanation:

The net centripetal force is equal to the mass times centripetal acceleration, which is equal to the square of the speed divided by the radius. On level ground, the friction force equals the weight times the coefficient of friction.

F = ma

mgμ = m v²/r

gμ = v²/r

v = √(gμr)

v = √(9.8 m/s² × 0.70 × 100.0 m)

v = 26 m/s