On a harsh winter day, a \(1500\,\text{kg}\) vehicle takes a circular banked exit ramp (radius \(R = 150\,\text{m}\); banking angle of \(10^\circ\)) at a speed of \(30\,\text{mph}\), since the speed limit is \(35\,\text{mph}\). However, the exit ramp is completely iced up (frictionless). To make matters worse, a wind is blowing parallel to the ramp in a downward direction. The wind exerts a force of \(3000\,\text{N}\). Under these conditions, can the driver continue to follow a safe horizontal circle on the exit ramp and stay below the speed limit?

To convert \(\text{mph}\) into \(\text{m/s}\), use \(1\,\text{mi} = 1607\,\text{m}\) and \(1\,\text{hr} = 3600\,\text{s}\).