1. The problem statement, all variables and given/known data The maximum torque output from the engine of a new experimental car of mass m is τ . The maximum rotational speed of the engine is ω. The engine is designed to provide a constant power output P. The engine is connected to the wheels via a perfect transmission that can smoothly trade torque for speed with no power loss. The wheels have a radius R, and the coefficient of static friction between the wheels and the road is µ. What is the maximum sustained speed v the car can drive up a 30 degree incline? Assume no frictional losses and assume µ is large enough so that the tires do not slip. (A) v = 2P/(mg) (B) v = 2P/(√3mg) (C) v = 2P/(µmg) (D) v = τω/(mg) (E) v = τω/(µmg) 2. Relevant equations 3. The attempt at a solution I don't even know how to start on this. I'm supposing that the first step is finding a relationship between the torque, power, and velocity , but I don't know how to do that. Thoughts?