You're watching a car race and observe one of the cars going around a banked circular curve. The bank is tilted at about 20 degrees, meaning that the car is tilted sideways by this much while driving around the bank. The curve seems to be a semicircle in shape, and you see the radius of the curvature is about 18.0 m.
a. If the car's tangential speed is constant, then why does the car feel acceleration?
b. Draw a force diagram on the car going around the bank. Label all forces and the direction of the car's acceleration. You may ignore friction.
c. The car's mass in part B is about 1500 kg, and it is traveling at a speed of 40 m/s. Find the normal force on the car's tires.
d. Consider a situation where the car is standing still on the bank. Explain how your answer to part B changes.
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