An ice cube with a mass of 0.0450 kg is placed at the midpoint of a 1.00-m-long wooden board that is propped up at a 41° angle. The coefficient of kinetic friction between the ice and the wood is 0.165. (a) How much time does it take for the ice cube to slide to the lower end of the board?

(b) If the ice cube is replaced with a 0.0450-kg wooden block, where the coefficient of kinetic friction between the block and the board is 0.435, at what angle should the board be placed so that the block takes the same amount of time to slide to the lower end as the ice cube does? You may find a spreadsheet program helpful in answering this question.