The package has a weight of 5 lb and slides down the chute. When it reaches the curved por...

The package has a weight of 5 lb and slides down the chute. When it reaches the curved portion AB, it is traveling at 8 ft/s (θ = 0°). If the chute is smooth, determine the speed of the package when it reaches the intermediate point C (θ = 30°) and when it reaches the horizontal plane (θ = 45°). Also, find the normal force on the package at C.