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There are 2 forces acting on the car. One is the force acting on the mass of the car from gravity (and the road supporting it). The other is centrifugal force which causes the car to move in a tangent to the angle of circular motion.

 Because there is no friction from the tires the forces will balance when

m(g) sin(theta) = m(v²)/r)cos(theta)

Rearranging and reducing this

r = (v²/g)cot(theta)

 or

r = (v²) / (g * tan(theta))

r = (16.667 m/s)² / ((9.81 m/s²) * (tan(20)))

r = (277.778 m²/s²) / ( 3.571 m/s² )

r = 77.8 m

_7UP_

I can't read that good

If you click on the pictuer it will be bigger   ! 

...؟؟؟؟؟؟؟؟؟.......

can you draw free body digram ? 

This isn’t a drawing, but they are free bodies.

These kittens are part of Loki's genetic cloning experiments for warm and cuddle worthy kittens. 

These free bodies will tided you over until 7UP returns. These kittens aren’t free, they are just free bodies. We loan them out if you promise to take care of them. We want them back after 7UP returns – or even if he doesn’t.

Here's one of our bigger cats in the care of Puma, our cat Chimp

Lancelot_Link, the cat's meow of  A.P.E.

And he's not "lion," either !!!!

Purr - fect !!!!

Here's your free-body diagram triple-xv:

Resolve forces vertically:  Ncosθ = mg

Resolve forces horizontally: mv²/r = Nsinθ

Solve for r.

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Thanks Alan

Thank you all 

This is interesting.

I went to a science symposium where one of the lecturers spoke on cloning. The scientist explained why it is easier to clone a sheep, cow or a cat compared to other animals, like a dog or primates.

Looks like Puma really loves her kitten.

_7UP_