A866 kg car is traveling at 16.7 m/s around a banked curve with a radius
of 50 m. at what angle would the car have to be banked so that no
friction is required?

Explanation:

The expression to calculate the angle of an ideally banked curve in which friciton is not needed is:

Where:

is the car's velocity

is the radius of the curve

is the acceleration due gravity

As you may see, this angle does not depend on the mass of the car.

Solving with the given values:

Finally:

if they have a finite resultant

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