In some problems, several unknowns must be determined to get at the one needed most. If the equation contains more than one unknown, then an additional equation is needed to solve the problem. It is easiest if you can find equations that contain only one unknown-that is, all of the other variables are known, so you can easily solve for the unknown. Your list of knowns and unknowns can help here. Step 4įind an equation or set of equations that can help you solve the problem. In complex problems, especially, it is not always obvious what needs to be found or in what sequence. Identify exactly what needs to be determined in the problem (identify the unknowns). Remember, “stopped” means velocity is zero, and we often can take initial time and position as zero. Formally identifying the knowns is of particular importance in applying physics to real-world situations. A sketch can also be very useful at this point. Many problems are stated very succinctly and require some inspection to determine what is known. Make a list of what is given or can be inferred from the problem as stated (identify the knowns). Without a conceptual understanding of a problem, a numerical solution is meaningless. Although finding the correct equation is essential, keep in mind that equations represent physical principles, laws of nature, and relationships among physical quantities. Once you have identified the physical principles, it is much easier to find and apply the equations representing those principles. You will also need to decide which direction is positive and note that on your sketch. It often helps to draw a simple sketch at the outset. Step 1Įxamine the situation to determine which physical principles are involved. A certain amount of creativity and insight is required as well. While there is no simple step-by-step method that works for every problem, the following general procedures facilitate problem solving and make it more meaningful. Such analytical skills are useful both for solving problems in this text and for applying physics in everyday and professional life. Analytical skills and problem-solving abilities can be applied to new situations, whereas a list of facts cannot be made long enough to contain every possible circumstance. It is much more powerful than memorizing a list of facts. More importantly, the ability to apply broad physical principles, usually represented by equations, to specific situations is a very powerful form of knowledge. Problem-solving skills are obviously essential to success in a quantitative course in physics. Figure 2.36 Problem-solving skills are essential to your success in Physics.
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