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You lean to the right as your car turns left because of the momentum. While you are driving in a straight line the car and you have forward momentum as the car turns to the left its changing the trajectory of its momentum but since you are not really part of the car you keep following the forward momentum that you had to begin with. So it appears as if you are leaning right but in reality you are just continuing the original forward momentum but due to the cars seat belt you are being pulled by the car and still moving forward giving you the feeling that you are leaning to the right. As you break down the physics further you really are the tangent acceleration along the turning radius of the car. It all makes much more sense when you understand the fundamentals of calculus.

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Q: Why do you lean to the left when the car is turning right?
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