Question

A car goes around a curve on a road that is banked at an angle of 33.5 degrees. Even though the road is slick, the car will stay on the road without any friction between its tires and the road when its speed is 22.7 m/s. What is the radius of the curve?

Answer 1

x: m•a=N•sin α
y: N•cos α=m•g
m•a=m•v²/R= N•sin α=m•gvsin α/cos α= m•g•tan α
R =v²/g•tanα

Answer 2

Unanswerable without the weight of the car to find its gravitational force and the y-component of its normal force