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Join us for an introductory course in astronomy covering topics such as the solar system, energy, and the conservation of energy. Includes textbook, online resources, and observatory visits.
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Astronomy 101The Solar SystemTuesday, ThursdayTom Burbinetomburbine@astro.umass.edu
Course • Course Website: • http://blogs.umass.edu/astron101-tburbine/ • Textbook: • Pathways to Astronomy (2nd Edition) by Stephen Schneider and Thomas Arny. • You also will need a calculator.
There is an Astronomy Help Desk that is open Monday-Thursday evenings from 7-9 pm in Hasbrouck 205. • There is an open house at the Observatory every Thursday when it’s clear. Students should check the observatory website before going since the times may change as the semester progresses and the telescope may be down for repairs at times. The website is http://www.astro.umass.edu/~orchardhill/index.html.
Exam #1 • Average was 85
HW #6 • Due by Feb. 23rd at 1 pm
In the News: Meteorite • Fell in a doctor’s office in Lorton, Virginia
In the News: Asteroid Collision http://www.csmonitor.com/Science/Discoveries/2010/0202/Has-the-Hubble-Space-Telescope-spied-asteroid-on-asteroid-collision-debris
Energy • Energy is the ability to generate motion
Conservation of Energy • Energy is neither created or destroyed – it just changes forms • Conservation of Energy • The energy in a closed system may change form, but the total amount of energy does not change as a result of any process.
Energy units • In English Units, we use calories to measure energy • In science (and in this class), we will use joules to measure energy • 1 Joule = 1 kg*m2/s2
Joule • One joule is defined as the amount of work done by a force of one Newton moving an object through a distance of one meter • Work is the change in enerrgy • Work = Force * distance
3 basic categories of energy • Kinetic energy – energy of motion • Potential energy – energy being stored for possible conversion into kinetic energy • Radiative energy – energy carried by light
Kinetic energy • Kinetic energy = ½ mv2 • m is mass in kg • v is velocity in meters/s • Remember: a joule has units of kg*m2/s2
How much kinetic energy does a 2 kg rock have if it is thrown at 20 m/s? • Kinetic energy = ½ mv2 • A) 200 J • B) 400 J • C) 40 J • D) 800 J
Answer • KE = ½ * 2 * (20) *(20) = 400 joules
Thermal energy (kind of kinetic energy) • Temperature is a measure of the average kinetic energy of the particles • Higher temperature – more kinetic energy, particles moving faster • For examples, air molecules around you are moving at ~600 m/s http://eo.ucar.edu/webweather/molecules.html
Temperature scales • In America, we use Fahrenheit • Water freezes at 32 degrees F • Water boils at 212 degrees F • Everywhere else, they use Celsius • Water freezes at 0 degrees C • Water boils at 100 degrees C
In Science • Temperature is measured in Kelvin • Zero Kelvin is absolute zero – nothing moves • Add 273.15 to the Celsius temperature to get the Kelvin temperature • 273.15 Kelvin = 0 degrees Celsius
Gravitational Potential Energy • Gravitational Potential Energy released as an object falls depends on its mass, the strength of gravity, and the distance it falls • For example, your gravitational potential energy increases as you go farther up in the air • This is because you hit the ground at a faster speed if you jump from a higher distance
KE + PE = 0 • As kinetic energy increases, potential energy decreases
Converting Mass to Energy • What is the most famous formula in the world?
E = mc2 • m is mass in kilograms • c is speed of light in meters/s (3 x 108 m/s) • So E is in joules • very small amounts of mass may be converted into a very large amount of energy and
How much energy can be produced if you can convert 10 kg of material totally into energy? • E = mc2 • A) 3.0 x 108 J • B) 3.0 x 1016 J • C) 9.0 x 1017 J • D) 9.0 x 1010 J
Answer • E = 10 kg * (3 x 108 m/s) * (3 x 108 m/s) • E = 10* (9 x 1016) J • E = 90 x 1016 J • E = 9.0 x 1017 J
Mass-Energy • E=mc2 • So Mass is a form of potential energy • Where is one place where you see mass converted into energy?
Light • Light is a form of energy
Light • These are all forms of light • Gamma rays • X-rays • Ultraviolet light • Visible light • Infrared light • Radio waves
Light • Can act as a particle • Can also act as a wave
Particle aspect • Particles called photons stream from the Sun and can be blocked by your body
Photons • Light is quantized • Comes in discrete packets called photons
Thomas Young Experiment • http://micro.magnet.fsu.edu/primer/java/interference/doubleslit/
Characteristics of waves • velocity = wavelength x frequency • Wavelength = distance • Frequency = cycles per second = hertz
For light • c = wavelength x frequency • In vacuum, speed of light stays the same • So if wavelength goes up • Frequency does down • f = frequency • λ = wavelength • c = λ x f
Calculations • c = λ x f • So if the wavelength is 1 x 10-12 m • 3 x 108 m/s = 1 x 10-12 m * f • f = 3 x 108 m/s/1 x 10-12 m • f = 3 x 1020 s-1 = 3 x 1020 Hz
Calculations • c = λ x f • So if the frequency is 1 x 1015 Hz • 3 x 108 m/s = λ * 1 x 1015 Hz • λ = 3 x 108 m/s/1 x 1015 Hz • λ = 3 x 10-7 m
Energy of light • Energy is directly proportional to the frequency • E = h * f • h = Planck’s constant = 6.626 x 10-34 J*s • since f = c/λ • Energy is inversely proportional to the wavelength • E = hc/λ
VIBGYOR violet red Higher the frequency, Higher the energy of the photon Higher the wavelength, Lower the energy of the photon
ROYGBIV • ROYGBIV • Red – long wavelength • Violet – short wavelength
Calculations • What is the energy of a radio wave with a frequency of 1 x 107 Hz? • E = h * f • h = Planck’s constant = 6.626 x 10-34 J*s • E = 6.626 x 10-34 J*s * 1 x 107 • E = 6.626 x 10-27 J
Calculations • What is the energy of a gamma ray photon with wavelength of 1 x 10-15 m • E = hc/λ • h = Planck’s constant = 6.626 x 10-34 J*s • E = 6.626 x 10-34 J*s * 3 x 108 m/s / 1 x 10-15 m • E = 1.99 x 10-10 J
So why are some types of radiation dangerous? • Higher the energy, the farther the photons can penetrate • So gamma and X-rays can pass much more easily into your the body • These high-energy photons can ionize atoms in cells • Ionization means removes electrons from an atom