A car of mass 1000 kg negotiates a banked curve of radius 90 m on a frictionless road. If the banking angle is 45°, the speed of the car is :

Options

(a) 20 ms⁻¹
(b) 30 ms⁻¹
(c) 5ms⁻¹
(d) 10 ms⁻¹

Correct Answer:

30 ms⁻¹

Explanation:

For banking tan θ = V² / Rg
tan 45 = V² / 90 x 10 = 1
V = 30 m/s