Energy is a disciplinary core idea and a cross-cutting concept in the K-12 Framework for Science Education and the Next Generation Science Standards (NGSS). As numerous authors point out, the energy model in these standards emphasizes the connections between energy and systems. Using energy ideas to interpret or make sense of phenomena means…

Solar limb darkening is a prominent feature seen in white images of the Sun: the brightness of the solar disk is greatest at the solar center and decreases radially outward towards the limb. White light images can be used to examine and even model limb darkening; however, the limb-darkening effect is, in fact, wavelength dependent. Limb darkening…

The importance of introducing computational approaches early and actively in science education is widely acknowledged among educators and scientists. Many great ideas have been put forward and implemented by advocates and organizations such as Partnership for Integration of Computation into Undergraduate Physics (https://www.compadre.org/PICUP)…

Due to the COVID-19 pandemic, in the spring of 2020 many physics programs were forced to quickly transition all of their classes and laboratories to a completely online learning environment. The need for simple and engaging remote physics laboratories became apparent. One relatively low-cost remote lab system is Macmillan's iOLab device. This…

In the April 2018 issue of "TPT," Joseph Amato presented an analysis of intercontinental ballistic missile (ICBM) trajectories as applied to recent test launches from North Korea. Using properties of their elliptical paths, he derived relationships between launch velocity, elevation angle, and maximum range. However, this approach cannot…

Fractals are geometric objects used to describe irregular shapes that have a fractional dimension and commonly appear in nature. Although several proposals for the study of perfect fractals at the basic level are present in the literature, only few proposals for the study of real fractals exist, which does not seem reasonable considering the…

When our school implemented AP Physics 1, I wanted to include a project that would extend over time, use more advanced data analysis, and teach students about handling experimental error. Using a donated 5-inch Newtonian telescope and an entry-level digital camera, the students gathered data from digital images of the four Galilean moons, Io,…

The possibility of negative temperatures on the Kelvin scale is intriguing and confusing simultaneously. This is because students are used to thinking of temperature as a measure of the internal energy of a system. While this concept is good for many systems, it does not work for all systems. Nuclear and electron spin systems, along with lasers…

The frequency ratios for the just diatonic scale are obtained by identifying musical intervals corresponding to Lissajous figures. The demonstration integrates the engineering physics of Lissajous patterns with the recognition of musical intervals through simple ear training. A free HTML5 app has been developed for this class activity and the…

Data acquisition equipment for physics can be quite expensive. As an alternative, data can be acquired using a low-cost Arduino microcontroller. The Arduino has been used in physics labs where the data are acquired using the Arduino software. The Arduino software, however, does not contain a suite of tools for data fitting and analysis. The data…

Probeware (sensors combined with data-analysis software) is a well-established part of physics education. In engineering and technology, sensors are frequently paired with actuators--motors, heaters, buzzers, valves, color displays, medical dosing systems, and other devices that are activated by electrical signals to produce intentional physical…

The exercises described here conveniently exploit the built-in acceleration sensors in smartphones, devices that are becoming ubiquitous if not essential items for most students. This allows each student to have the opportunity for a hands-on experience and to collect their own data, reduces preparation time, and greatly reduces cost by removing…

There is a relatively simple way of using radioactive material in classroom experiments: uranium glass, which provides teachers with a suitable substance. By using the right computer software and a radiation sensor, it can be demonstrated that uranium glass emits radiation at a greater rate than the background radiation and with the aid of UV…

This paper discusses the use of a free mobile engineering application (app) called Autodesk® ForceEffect™ to provide students assistance with spatial visualization of forces and more practice in solving/visualizing statics problems compared to the traditional pencil-and-paper method. ForceEffect analyzes static rigid-body systems using free-body…

We have recently developed a Graphs and Tracks model based on an earlier program by David Trowbridge, as shown in Fig. 1. Our model can show position, velocity, acceleration, and energy graphs and can be used for motion-to-graphs exercises. Users set the heights of the track segments, and the model displays the motion of the ball on the track…