Physics Project Abstract

CREATING AND SOLVING CHALLENGING PHYSICS PROBLEMS

Presenter:

Daniel R. Gulotta, Illinois Mathematics and Science Academy, 1500 West Sullivan Road, Aurora, IL, 60506; dgulotta@imsa.edu

Advisors:

vMs. Laura Nickerson, Illinois Mathematics and Science Academy, 1500 West Sullivan Road, Physics, Aurora, IL, 60506; 630-907-5915; physnicks@imsa.edu

Dr. David Workman, Illinois Mathematics and Science Academy, 1500 West Sullivan Road, Physics, Aurora, IL, 60506; 630-907-5915; workman@imsa.edu

Abstract:

The most important ingredient in the creation of a challenging original physics problem is physical insight. The problem's author must fully understand a single physical system and capture its essence in the answer to a simple question. Many other elements make problems intriguing and thought provoking. The linking of concepts often provides for an interesting problem. For example, a mechanics problem can occasionally be rephrased and solved in terms of optics. Problems involving special mathematical techniques demand a physical understanding of mathematical machinery. Often, physics ideas can provide inspiration for mathematical problems, especially in geometry. Once problems are created, others will presumably attempt to solve them. The discovery of new solutions helps create further linkage between concepts and can often provide generalizations. There are a number of useful techniques in physics problem solving, such as exploiting symmetry, considering conserved and minimized quantities, combining physical systems, and creating analogous situations. By creating and solving problems, one learns to look at physics in unique ways that are both practical and intriguing.