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 )”
Author Archives: George Walker
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”
ENERGY AND MOMENTUM: Which Object Will Roll Down a Hill More Rapidly?
If a buggy and a sphere of equal masses begin rolling side-by-side down a hill, which will reach the bottom of the hill first ( neglecting wind resistance ) ? For simplicity, we should pretend that the energy transfer in this problem is 100% efficient: no losses occur due to sound, random vibrations, or windContinue reading “ENERGY AND MOMENTUM: Which Object Will Roll Down a Hill More Rapidly?”
MATHEMATICS: Radius, Radians, Diameter, Circumference, and ” Pi ” = 3.14
C = 2πR. What does this mean? What is its usefulness? C = The distance around any circle. But where did such a formula come from? Start by drawing a circle. Within the middle of the circle, draw a dot. Now, draw a line that passes through the dot. This line should divide the circleContinue reading “MATHEMATICS: Radius, Radians, Diameter, Circumference, and ” Pi ” = 3.14″
ELECTRICITY: Direct Current and Parallel Resistors
INTRODUCTION TO DIRECT CURRENT ( DC ) ELECTRONICS : Note: Assuming each resistor ( R ) = 64 Ohms, what is the equivalent resistance of the circuit from points A to B ? Symmetry regarding the flow of electrons is the key to calculating the total resistance ( R ) of this circuit. Let’s suppose theContinue reading “ELECTRICITY: Direct Current and Parallel Resistors”
ELASTIC COLLISIONS: Kinetic Energy, Momentum, Two Equations, and Two Unknown Variables
If a + b = c, and if b = e + f, then it’s also true that a + e + f = c. Any time a variable is common to two or more similar equations, solving one of the two equations will enable us to substitute the common variable into the remaining equation.Continue reading “ELASTIC COLLISIONS: Kinetic Energy, Momentum, Two Equations, and Two Unknown Variables”
GAS LAWS: Boltzmann’s Constant
In previous circumstances, a known quantity of an ideal gas in moles ( n ) was shown to influence a volume of space in accordance with the Ideal Gas Law ( PV = nRT ). It is useful, however, to be able to determine the number of molecules ( N ) of a gas thatContinue reading “GAS LAWS: Boltzmann’s Constant”
MATHEMATICS: Binary Math and Digital Electronics
Write the numbers 8,4,2, and 1 in descending order. We will form binary numbers by choosing the numbers from this list that are needed to form the binary number wanted. Below, we will see how we use the number 1 to choose which number out of the ( 8,4.2,1 ) sequence is being used toContinue reading “MATHEMATICS: Binary Math and Digital Electronics”
ELECTRICITY: Kirchhoff’s Rules and Negative Current Values
Voltage, where V = IR, is the product of the current ( I ) of Amperes in an electrical circuit in units of coulombs per second ( q/s ), and resistance ( R ) in Ohms. Likewise, voltage is defined as the amount of energy in Joules ( J ) a coulomb of charge carriesContinue reading “ELECTRICITY: Kirchhoff’s Rules and Negative Current Values”
