For a short time, the 250-kg roller-coaster car with passengers is traveling along the spiral track at a constant speed of v = 8 m/s. If the track descends d = 12 m for every full revolution, θ = 2π rad, determine the magnitudes of the components of force which the track exerts on the car in the r, θ, and z directions. Neglect the size of the car.

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r = 10 m d