Presents calculations after discussing exponential growth that deal with the determination of the time of exhaustion at different rates of consumption. (PR)

Addresses the principles and problems associated with the use of significant figures. Explains uncertainty, the meaning of significant figures, the Simple Rule, the Three Rule, and the 1-5 Rule. Also provides examples of the Rules. (ML)

Derives the current in the wire joining two points when n points are joined two by two by wires of equal resistance, and two of them are connected to the electrodes of a battery of electromotive force E and resistance R. (YP)

Presents a simpler derivation for centripetal acceleration for use when students are first introduced to the topic. (PR)

Introduces the method of ray tracing to analyze the refraction or reflection of real or virtual images from multiple optical devices. Discusses ray-tracing techniques for locating images using convex and concave lenses or mirrors. (MDH)

Describes a theoretical development to explain the shadow patterns of an object exposed to an extended light source while held at varying distances from a screen. The theoretical model is found to be accurate in comparison with experimental results. (MDH)

A common misconception among students setting up force-acceleration problems is to think of the expression "mass times acceleration" as a force itself. Presents a new formula to express the relationship between force, mass, and acceleration, and discusses its benefits. (MDH)

Establishes a rationale for teaching population genetics to students and inservice biology teachers. Suggests strategies for introducing students to the Hardy-Weinberg principle. (MDH)

Discusses a misconception about the cycloid that asserts the final point on the path of shortest time in the "Brachistochrone" problem is at the lowest point on the cycloid. Uses a BASIC program for Newton's method to determine the correct least-time cycloid. (MDH)

Describes a homemade experimental chamber constructed to accurately measure the refractive index of a transparent liquid. (MDH)

When examining complex waveforms by examining oscillograms from simple resonant circuits, interpretation problems occur. These problematic oscillograms are explainable by recognizing that the typical resonant filters pass significant amounts of several harmonics adjacent to the one intended. Adjacent harmonics effects are computed; resulting…

Addresses the problem that students balk at the notion velocities do not add algebraically. Offers a geometric model to verify the algebraic formulas that calculate velocity addition. Representations include Galilean relativity, Einstein's composition of velocities, and the inverse velocity transformation. (MDH)

Described is a graduate level engineering course on functional analysis offered at Purdue University. The course restricts itself to linear problems, specifically analysis of linear operators on vector spaces. Key applications in the course demonstrating the utility of abstract formulations are presented. (BT)

Discusses solutions to the problem of maximizing the range of a projectile. Presents three references that solve the problem with and without the use of calculus. Offers a fourth solution suitable for introductory physics courses that relies more on trigonometry and the geometry of the problem. (MDH)

Presents examples of physics as applied to the sport of skiing. Examples examine the physics of sliding, unweighting, ski turning, wind resistance, the parabolic and circular motion of aerial skiers, and the aerial maneuvers of ski jumpers. (MDH)