Practice Problems - Conservation of Mechanical Energy (Continued) Applyin 3. A skier slides down a frictionless 25 slope from a height of 12 m. How fast is she moving at the bottom of the of Cons hill? Does the slope of the hill matter? Explain. Energy Using the law of conservation of energy can be a powerful tool in your problem solving Categorizing Forces tool kit. Before examining a specific problem, you need to consider two additional in a System concepts. First, you should consider the type of system based on the two categories of forces that may act within or on it: conservative and ronconservative forces. S