48. A small marble rolls around a horizontal circular path on the inner surface of a conical bowl. The surface of the bowl makes an angle @ with the vertical. a. Draw a free-body marble path of the marble diagram of the forces acting on the marble. b. Show that the acceleration a of the marble is given by a = g tan O' The speed of the marble is 1.5m s and its mass is 3.0g. The angle of the bowl is = 28. c. Calculate: i. the radius of the marble's path ii. the magnitude of the reaction force on the marble from the bowl. A small frictional force acts on the marble so that it gradually spirals down the bowl along a path that can be modelled as a circle of slowly decreasing radius. d. Predict the effect this will have on the angular speed of the marble.