Rules of Problem Solving
1. Read the problem carefully and make sure that you know what is being asked and that you understand all the terms and symbols that are used in the problem. Write down all given data.
- Write down the symbols for the physical quantity or quantities called for in the problem, together with the appropriate unit symbols.
- Write down the equation relating the known and unknown quantities of the problem. This called the Basic equation. In this step you will have to draw upon you understanding of t he physical principles involved in the problem. It is helpful to draw a sketch of the problem and to label it with the given data.
- Solve the basic equation for the unknown quantity in the problem, expressing this quantity in terms of those given in the problem. This is called the Working equation.
- Substitute the given data into the working equation. Be sure to use the proper units and carefully check the significant figures in this step.
- Perform the indicated mathematical operations with the units alone to make sure that the answer will be in the units called for in the problem. This process is called unit analysis.
- Perform the indicated numerical operations. Be sure to observe the rules of significant figures.
- Check the answer for reasonableness.
- Review the entire solution.
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