Science Capsules

The textbook says planes fly because air moves faster over the curved top of a wing, but that explains only part of the lift. These explanations cover how wings turn air downward by Newton's third law, why viscosity matters, and where Bernoulli's shortcut falls short. You can build the understanding of flight that actually holds up.

GPS accuracy depends on precise clock synchronization between satellites and receivers, and that synchronization requires Einstein’s relativity. Readers will understand how satellite motion, gravitational effects, orbital shape, and Earth’s rotation influence GPS timing, and why correcting for these effects is essential to the location accuracy used every day.