A car of mass M = 1000 kg traveling at 50.0 km/hour enters a banked turn covered with ice. The road is banked at an angle θ , and there is no friction between the road and the car's tires as shown in (Figure 1). Use g = 9.80 m/s2 throughout this problem. What is the radius r of the turn if θ = 20.0 ∘ (assuming the car continues in uniform circular motion around the turn)?