Final answer:
The power output needed for the car to climb the slope is approximately 72.3 kW.
Step-by-step explanation:
To calculate the power output needed for the car to climb a slope while encountering wind resistance and friction, we can use the formula P = (f + mg sin 0)v, where P is the power, f is the total force of wind resistance and friction, m is the mass of the car, g is the acceleration due to gravity, 0 is the slope angle, and v is the constant velocity of the car. Substituting the given values, we get P = (600 N + (950 kg) (9.8 m/s^2) sin 2°) (30.0 m/s), which equals to approximately 72.3 kW. Therefore, the correct answer is C.