Ahighway curve of radius 60m is banked at an 18° angle. what is the maximum speed with which a 1500 kg rubber tired car can take this curve without sliding? assume the coefficient of static friction between the tires and the road is 1.0. hint: you must consider carefully which way friction points, up the incline or down the incline. also, remember that for uniform circular motion problems you always want to use radial, tangential, and z axes.

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Explanation:

To solve this problem we need to apply Newton's Second Law to the uniform circular motion, this means, we are going to take in account the radial forces. The forces we have in the x axiss are:

(we do not consider the weight here since it is only exerted in the y axiss) so

,

the friction points toward the center of the curve, this is why the car will not slide,

,

now remembering that

we get

,

(this will be eq 1).

Now, for the y axiss we have:

Where the weight and the vertical component of the friction point downwards.

So

,

,

,

(this will be eq 2).

Now we do eq 1 over eq 2:

,

simplifiying and solving for

,

,

,

,

and finaly

yeet youwelcome broo

i believe the answer is a