SOUND: Intensity As a Function of Distance From a Point Source

The First Law of Thermodynamics states that ” energy cannot be created or destroyed. ” Thus, the Wattage ( W ) in units of Joules per second ( J/s ), whether it be generated by an electric circuit, laser beam, ocean wave, falling skydiver ( drag force times drag velocity in W = Fv ),Continue reading “SOUND: Intensity As a Function of Distance From a Point Source”

SOUND: Beat Phenomena in Acoustics

Two major considerations will help us develop a clear understanding of an acoustic phenomena called ” sound beats “. First, consider that a longitudinal sound wave is a pressure wave moving through a ” springy ” medium. The Bulk Modulus and temperature of the medium influence the velocity of sound waves. Of interest here, however,Continue reading “SOUND: Beat Phenomena in Acoustics”

SOUND: Open and Closed-Pipe Systems, and the Concept of Resonance Frequency

Before examining the physics of standing waves within pipes that are closed at one end, a review of systems within which both ends are open is due. Periodic motion is used to model the behavior of systems that are harmonic or cyclical in nature. Within the midst of turbulent high-tide waves crashing against a shoreline,Continue reading “SOUND: Open and Closed-Pipe Systems, and the Concept of Resonance Frequency”

SOUND: Open-Pipe Systems

A standing pressure wave can be established by sound waves within a pipe with both ends open as well as pipes with one closed end. When a single-standing pressure wave exists within a pipe, the frequency ( f ) of the sound emitted is regarded as being the first or ” fundamental ” sound frequencyContinue reading “SOUND: Open-Pipe Systems”

KINEMATIC EQUATIONS: What is the ball’s speed when it’s caught by the goalie?

Q: A soccer player kicks the ball toward a goalie that is 29.0 m in front of him. The ball leaves his foot at a speed of 19.5 m/s and at an angle of 33.4° relative to the ground. Find the speed of the ball when the goalie catches it in front of the net.Continue reading “KINEMATIC EQUATIONS: What is the ball’s speed when it’s caught by the goalie?”

KINEMATICS: What Initial Velocity is Needed to Propel a Projectile Over a Barrier?

Q: The highest barrier that a projectile can clear is 13.7 m, when the projectile is launched at an angle of 10.5° above the horizontal. What is the projectile’s launch speed? A: Recall that a projectile that travels in a curvilinear path has components of motion in the ( x ) and ( y )Continue reading “KINEMATICS: What Initial Velocity is Needed to Propel a Projectile Over a Barrier?”

KINEMATICS: How Far Will a Fired Projectile Travel?

Materials needed: ( 1 ) Spring-loaded cannon; ( 2 ) ruler; ( 3 ) timer The goal will be to determine how far a model cannon’s projectile will travel. First, we will theoretically determine the muzzle velocity ( vm ) of our model cannon. Position the cannon horizontally upon a table. Measure the vertical distanceContinue reading “KINEMATICS: How Far Will a Fired Projectile Travel?”

ENERGY AND MOMENTUM: Subatomic Collisions, Billiard Balls, and the 90-Degree Rule ( Part 1 )

An elastic collision, within which kinetic energy ( KE ) and momentum ( p ) are conserved, is mathematically modeled in terms of momentum as follows:  pi = pf , and m1v1i + m2v2i = m1v1f + m2v2f  where p = mv, and m = mass in kilograms ( kg ), and velocity ( vContinue reading “ENERGY AND MOMENTUM: Subatomic Collisions, Billiard Balls, and the 90-Degree Rule ( Part 1 )”

THE STOCK MARKET: Call Options

THE MATHEMATICS OF OPTIONS TRADING : Let’s first consider a scenario where a single share of stock valued at $100.00 is purchased and subsequently sold at some later date. If this single share of stock increases in value by $6.00, a 6% profit will have been made if the stock is sold for $106.00, neglectingContinue reading “THE STOCK MARKET: Call Options”

MATHEMATICS: An Introduction To Chemistry and Physics

( 1 ) One times one equals one. ( 2 ) One divided by one equals one. These two concepts can get anyone off the ground and on their way to mastering intro. chemistry and/or physics. The following numbers are equivalent to the number 1 : ( 2 divided by 2 = 1 ), (Continue reading “MATHEMATICS: An Introduction To Chemistry and Physics”