2. First reflection causes the spectrum of colors to be reversed
3. Second reflection separates the colors further
4. Results in a secondary rainbow appearing outside of the primary rainbow, with the colors appearing fainter and in reverse order
Cause of a solar eclipse
1. The moon passes between the sun and the Earth
2. Blocking the sunlight from reaching a certain area on the Earth's surface
3. Can result in a partial solar eclipse or a total solar eclipse
Kinetic energy
The energy of an object in motion
Potential energy
The energy stored in an object based on its position or state
Kinetic energy calculation
0.5 x mass x velocity^2
Potential energy calculation
mass x gravitational field strength x height
Applications of optical fibers
Telecommunications (such as internet data transmission)
Medical imaging (such as endoscopes)
Sensors (such as in temperature or pressure measurements)
Total internal reflection in optical fibers
1. Light traveling through the core of the fiber strikes the boundary with the cladding at an angle greater than the critical angle
2. Light reflects back into the core instead of being refracted out of the fiber
Snell's Law of Reflection
The ratio of the sines of the angles of incidence and refraction is equal to the ratio of the speeds of light in the two media
Internal reflection
Light is reflected within a medium at an angle greater than the critical angle
Reflection and refraction
The bending of light rays at a surface between two different media
Satellite
An object in orbit around a larger object
Orbital velocity
The speed at which an object must travel in order to maintain orbit
Escape velocity
The minimum velocity needed for an object to escape the gravitational pull of a larger object
Gravitational force
The force of attraction between two objects with mass
Gravitational potential energy
The energy stored in an object due to its position in a gravitational field
Calculus
A branch of mathematics that deals with the study of rates of change and the accumulation of quantities
Derivatives, integrals, limits, functions
Concepts in calculus
Global Positioning System (GPS)
A satellite-basednavigationsystem that provides location and time information in all weather conditions anywhere on or near the Earth
How GPS works
1. Operates through a network of at least 24 satellites orbiting the Earth at approximately 20,000 km above the surface
2. Uses trilateration to determine a user's precise location by calculating the distance between the user and multiple satellites
GPS has revolutionized navigation, enabling accurate mapping, surveying, and real-time tracking for various applications, including transportation, emergency response, and outdoor activities
GPS has become an integral part of modern technology, with applications ranging from guiding aircraft and ships to helping individuals navigate through unfamiliar terrain with smartphones and car navigation systems