1a. A penguin wants to slide down a hill. If the coefficient of static friction between the penguin's belly and the hill is us, determine the minimum angle of the hill (@) for which the penguin could lay down and begin sliding. 1b. Draw a Free body diagram of the penguin sliding down the hill on his belly. 1c. If a hill is inclined at 30° above horizontal, what's the maximum coefficient of friction the penguin can have and still slide down? Determine the maximum coefficient if the hill is 45°. Do the values seem reasonable? (i.e. does it make sense which one is higher?)