How are roller coasters designed to obey all of Newtons laws of motion?
I think perhaps you wished to know how roller coasters demonstrate Newton’s laws. Only an entity with a will can obey or disobey, and, as already pointed out, nature compels obedience. Newton’s first law states that objects at rest remain at rest; those in motion remain in motion. This is actually the law of inertia and is older than Newton. Galileo was certainly aware of it. A motionless roller coaster car isn’t very interesting, but it will sit there until it is, typically, pulled to the top of a slope and ‘let go.’ In motion, the car will continue to move until a force acts along its direction of motion to change its velocity. Which brings us to the second law, which is expressed most easily with a mathematical equation, ∑F (a vector) = ma (another vector). As the car moves, the component of gravitational force parallel to the motion either causes its speed to increase (going downward) or decrease (going upward). Frictional forces will also act continually to slow the car. As the ca