Assignment:
A car of mass M traveling at speed v enters a banked turn covered with ice. The road is banked at an angle theta, and there is no friction between the road and the car's tires. What is the radius r of the turn (assuming the car continues in uniform circular motion around the turn)? Express the radius in terms of the given quantities and g, the magnitude of the acceleration due to gravity.
Provide complete and step by step solution for the question, use formulas.