1. It's bring-your-child-to-work-day! You and your kid come in with the same shoes. Which will have a greater force of friction? Explain. If the same, explain.

2. If a coworker has heels and flats both made with the same material, which pair of shoes will have a greater force of friction when they walk? Explain. If the same, explain.

3. If the shoe had patterns on the bottom, would the coefficients of friction change? If they don't, explain.