Physics Unit 1: Study Guide

What you need to know for the Unit 1 Test (Fri Sept 23 – B, Mon Sept 26 A)

Basic Trigonometry
Sin, Cos, Tan,  (we’ll hold off on arcSin, arcCos, and arcTan till later in the semester)
Pythagorus’ Theorem

The difference between vectors and scalars (velocity and speed)
Converting units
Powers of 10, scientific notation
Significant Figures

How to derive the General Equation of Kinematics and how to derive the ‘time independent’ equation of kinematics using the 2 column derivation method.

The derivations are in this power point

acceleration-part-2

How to solve 1 dimensional motion problems
How to solve gravitational acceleration (free fall) problems
How to solve girlfriend problems (extra credit)
How to solve time independent motion problems

History of the Atom

 

Where Oh Where –  did all these atoms come from?

All the atoms we have today were created as a result of the Big Bang in the early days of the universe.  As the Early Universe cooled,  protons and electrons formed and joined together to form Hydrogen atoms.  Later, stars formed and “burned” the Hydrogen producing Helium.  Larger, hotter stars continued to burn the Helium to produce heavier atoms such as Iron and Magnesium, then exploded, spewing meals (iron, magnesium etc) across the universe. These metals together with Hydrogen and Helium are the materials which stars, planets, and galaxies are made of.

How did we come up with today’s  models of the atom?

It all started with Democritus.

democritus

Democritus was a great and wise Greek philosopher who lived from 460 BC to 370 BC.  Plato hated him but Democritus had a great sense of humor which undoubtedly irritated the serious Plato (428 BC – 328 BC) even more.  He went blind in his old age and lived till 90,  although some historians believed he lived to 109! Most of his writings were destroyed in th middle ages so his life has become filled with legend.

Democritus’ theory of atoms started as a thought experiment. He (in discussion with Leartus) said if you divide a grape in half and in half again and keep dividing it, eventually you will reach the point where you can divide it no more.  He called these smallest possible pieces “atoms” which meant indivisible in ancient greek. He also believed there was empty space or “void” between the atoms.

Later Aristotle, (384 BC-322 BC) disagreed with Democritus’ theory since he knew that nature could not allow a “void”. Aristotle believed that matter was made from the 4 elements of the ancients; earth, air, water, and fire. Today we know that Democritus was closer to the truth than Aristotle. The problem was, Aristotle was so famous that everyone believed him, setting science back 1,000 years.

father-time   Fast Forward to the late 1700’s

By the 1700’s, scientists had figured out that there were 2 kinds of electric charge. Opposite charges attracted one another. Like charges repelled.  Benjamin Franklin, one of our nations founding fathers, was fascinated by these electric charges. He deemed he could capture the power of electric lightning  by flying a kite with a metal key on the string. He was right, and the result was shocking!

ben_franklin50

Benjamin Franklin was the first to name the opposite charges plus +, andfather-time.jpeg minus -. He also invented the lightning rod.

In 1803, John Dalton, extended the ideas of Democritus. Dalton reasoned that all atoms of a specific element were identical and in some way different from the atoms of other elements.

father-time

In the late 1800’s scientists were busy trying to understand the structure of atoms.
In 1897, J.J. Thomson, using cathode ray tubes, identified the electron. Thomson went on to propose a model of the atom called the Plum Pudding model. He pictured the atom as being a ball of positive charge with negative electrons stuck in it, the electrons being much like the pieces of plum in plum pudding, a popular British desert.

plum-pudding  Thomsons plum pudding model

In 1911, Ernest Rutherford designed an experiment using a thin gold foil and a beam of Alpha Particles (Helium nuclei). Rutherford was hoping to confirm Thomson’s model. He expected the beam of Alphas to pass through the gold with only minor spreading of the beam. What he found instead was that some of the Alpha particles were “scattered” through wide angles, some even bounced straight back. This set the scientific community on its head and they soon discarded the now stale plum pudding model.

Rutherfords-experiment

 

Rutherford Scattering

Click to Run

 

The Bohr Model

In atomic physics, the Rutherford–Bohr model or Bohr model, introduced by Niels Bohr in 1913, depicts the atom as a small, positively charged nucleus surrounded by electrons that travel in circular orbits around the nucleus—similar in structure to the solar system, but with attraction provided by electrostatic forces rather than gravity.

bohr_hydrogen

Bohr defined the “orbitals” as having primary quantum numbers n = 1, 2, 3, etc.

bohrplanetarymodel

Looking back to the spectral lines we saw in the gas discharge tube demonstration, we see that electrons were excited to a higher n quantum level by the power supply. Then the electrons returned to their ground state by releasing energy in form of “photons of light” where the photon energy or color can only have specific values (colors).

h-emission

 

bohr-atom-transitions

various-emission-spectra

Assessment: Why do different elements have different emission spectra?