Answer :
To determine the minimum coefficient of friction that allows a car to pass a corner without skidding, you can use the following formula:
μ = v^2 / rg
where μ is the coefficient of friction, v is the speed of the car, r is the radius of the curve, and g is the acceleration due to gravity (9.81 m/s²).
Inserting the given value will result in:
μ = (52 km/h)²/ (210 m)(9.81 m/s²)
Converting the velocity to m/s and calculating it gives:
μ = 0.312
Therefore, 0.312 is the lowest coefficient of friction that a car can go through a curve without slipping.
To determine the maximum velocity that can be passed through a curve without slipping, we can use the same equation and solve for v.
v = √(μrg)
Plugging in the given values and the calculated minimum coefficient of friction, we get:
v = √(0.312 × 210m × 9.81m/s²)
The calculation yields:
v = 60.4 km/h
The maximum speed that can be taken through a curve without slipping is 60.4 km/h.
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