Question

Two banked curves have the same radius. Curve A is banked at an angle of 11°, and curve B is banked at an angle of 16°. A car can travel around curve A without relying on friction at a speed of 18.5 m/s. At what speed can this car travel around curve B without relying on friction?

Answer 1

without friction.

then gravity down the clift is mgsinTheta
Centripetal force up the clift is m v^2/r*cosTHeta

setting them equal, mv^2 CosTheta/r= mgSinTheta or
tan Theta*r= v^2/g

so check the calcs there. If right, then v is proportional to sqrt ( *tanTheta)

so Vb=18.5 sqrt (tan16/tan11)
= 1.21*18.5

check through all that