For a short time, the 250-kg roller coaster car is traveling along the spiral track such t...

For a short time, the 250-kg roller coaster car is traveling along the spiral track such that its position measured from the top of the track has components r = 8 m, θ = (0.1t + 0.5) rad, and z = (−0.2t) m, where t is in seconds. Determine the magnitudes of the components of force which the track exerts on the car in the r, θ, and zdirections at the instant t = 2 s. Neglect the size of the car.