A pogo stick is a toy that you can stand on, and it has a large spring on one end that compresses and allows you to bounce up and down. Consider a pogo stick with spring constant k, and now imagine the pogo stick is a little rusty, and has some constant kinetic friction f opposing the motion of the spring actuation. If you and the pogo stick have mass m and fall from a small ledge of height h, how much does the spring compress before you start bouncing back up? Express your answer symbolically in terms of the given quantities. (a) Write out your problem-solving strategy for this problem. What concepts or equations do you need? What quantities do you need to find to get your final answer? Do you need to make any assumptions? Start by drawing a diagram or two! (b) Execute your strategy to get the final answer. (c) How does our answer change with a clean pogo stick? i.e. if fk 0?