Astronomy Chapter 4 – Flashcards
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hypothesis
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educated guess
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Hallmark of Science #1
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a scientific model cannot just include divine intervention: should rely solely on natural causes
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Hallmark of Science #2
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Occam's Razor: the simplest explanation that predicts the phenomenon equally well
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Hallmark of Science #3
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a scientific model must make *testable predictions* about natural phenomena that would force us to revise or abandon the model if the predictions do not *agree with observations*
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A scientific theory must:
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1) explain a wide variety of observations with simple principles 2) supported by a large, compelling, body of evidence 3) must not have failed any crucial test of validity
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Astrology v Astronomy
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astrology: search for hidden influences on human lives based on the positions of planets and stars in the sky astronomy: learning about how stars, planets, other celestial objects work
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sidereal
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relative to the stars
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sidereal day (time?)
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- the time it takes *any star* to make a circuit of the local sky *(23 hr, 56 min)* - takes for the Earth to complete one rotation about its axis with respect to the 'fixed' stars.
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solar day (and time?)
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- the time it takes the *sun* to make a circuit of the local sky *(24 hours)* - the time it takes for the Earth to rotate about its axis so that the Sun appears in the same position in the sky.
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difference between sidereal and solar day
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- one full rotation of the Earth represents a sidereal day and returns you to pointing in your original direction, but you need to rotate a little extra to return to pointing at the Sun - so because Earth travels about 1 degree per day around its orbit, so a solar day requires about 361 degrees of rotation ( one more degree to face the sun to make it 1 solar day )
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synodic month
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the amount of time it takes the moon to repeat it's phases (29.5 days)
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sidereal month
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the amount of time it takes the Moon to complete one orbit around the Earth with respect to the background stars *(27.3 days)*
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Earth travels about ... degrees per month around it's orbit. so from one new moon to the next, the moon must complete a ... orbit
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30; full 360 degree
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sidereal year
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the amount of time it takes the Earth to orbit the Sun once with respect to the background stars
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tropical year (time difference between sidereal year?)
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the amount of time it takes the Earth to go from the March equinox one year to the March equinox the next year *(20 min difference between sidereal year)*
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sidereal period
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the amount of time it takes any planet (other than Earth) to orbit the Sun, measured with respect to the background stars
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synodic period
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the time it takes for a planet to be aligned with the Sun in our sky until it is again aligned similarly
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inferior conjunction with an inferior planet
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the planet is located in between the sun and the earth
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superior conjunction with an inferior planet
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more distance conjunction.. the planet is located on the opposite side of the sun, but in line with the Earth and Sun
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greatest eastern/western elongations
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*see the planet at it's greatest angular distance away from the sun*; there is a right angle between the planet and the sun: a triangle between the sun, planet, and Earth (straight line is between sun and earth)
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conjunction with a superior planet
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the planet is on the opposite side of the sun, in line with the sun, and Earth
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opposition with a superior planet
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the Earth is in between the sun and the other planet
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quadrature
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the earth and sun make a 90 degree angle, the other planet and Earth make a straight line that is the "height" of the triangle, the "base" is the straight line between the sun and the Earth
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transit
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when mercury or venus passes in front of the sun
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Apparent solar time and it's negatives
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Noon is the time when the shadow on a sundial is shortest. - can't tell at night - can't tell someone in any other location than you
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Mean solar time
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Noon is set to the average time when the shadow on a sundial is shortest. (Accounts for subtle differences in day lengths.)
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Standard time
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Mean solar time in the center of your time zone.
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Universal time
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- Mean solar time at 0 degrees longitude (Greenwich, England) - Useful standard for navigation and astronomy
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When and why do we have leap years?
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- Because there are about 365.25 days in a year, a calendar based on 365 days will get out of synch with the seasons - Solution: Add one day every four years! - they are apart of the Julian calendar
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... adds even more subtle corrections to stop the equinoxes from drifting.
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The Gregorian calendar
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we use ... and ... to pinpoint locations in the local sky
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altitude and direction
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we use ... and ... to pinpoint locations on Earth
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latitude and longitude
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we use ... and ... to pinpoint locations on the celestial sphere
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declination and right ascension
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Declination
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"longitude" on the celestial sphere. 0 degrees at celestial equator, +/- rather than north/south.
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Right ascension
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"latitude" on the celestial sphere. 0 degrees at March equinox, measured in hours and minutes east/west
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The Sky at the North Pole: Stars move .. A star's declination is ... ... of stars are circumpolar
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- Stars move parallel to your horizon. - *A star's declination is equal to its altitude.* - 100% of stars are circumpolar
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The Sky at the Equator Stars move... ... stars are circumpolar
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- Stars move perpendicular to your horizon. - no stars are circumpolar
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Stars with dec = 0 degrees rise due ..., cross the meridian at the ..., and set due ...
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east; zenith; west
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Stars with dec > 0 degrees rise ... of due ... and set ... of due ...
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north; east; north; west
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what fraction of the stars in the sky are visible at the equator?
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all of them over the course of the year
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what range of declination can we see at the equator? what are endpoints of declination?
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all ranges; 90 degrees
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Stars at high dec will be ...
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circumpolar.
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Stars at low dec will ...
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rise and set at an angle to your horizon.
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intermediate latitudes...
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both circumpolar and non circumpolar stars
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how to find latitude if given celestial equator altitude
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- on the equinox's we know that the sun crosses the celestial equator... so use this number and add it to zenith (90) then subtract from 180 to find the latitude you're at - or if you're just given path of solstice for ex) 73.5 degrees - 23.5 degrees = 50 degrees .. then do the same procedure
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Over the course of the year, the Sun's ... changes.
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declination
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Because the Earth's axis tilt is roughly 23.5o, there are several "special" latitudes.
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North pole latitude +90 degrees Arctic circle latitude +66.5 degrees Tropic of cancer latitude +23.5 degrees equator 0 degrees tropic of capricorn latitude -23.5 degrees antarctic circle latitude -66.5 degrees south pole latitude - 90 degrees
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The Sun circles the ... on the equinoxes. The Sun circles the sky at an altitude of ... on the summer solstice. The Sun circles ... below the horizon on the winter solstice.
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horizon; 23.5; 23.5
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The Arctic and Antarctic circles represent the latitudes above (Arctic) or below (Antarctic) which there will be more than ... during the summer and ... during the winter.
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24 hours of consecutive sunlight; darkness
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You can also determine your latitude from the altitude of any star or the Sun...
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as it crosses the meridian
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- star x has declination +10 degrees - star has angle up from the south of 60 degrees (meridian altitude = 60) (find latitude)
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- *meridian altitude = altitude of CE + star's declination * - answer = 50 degrees
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how can you determine longitude?
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1. suppose your apparent solar time is 1pm, meaning the sun crossed your meridian 1 hour ago 2. you learn that it is 3pm right now in Greenwich, meaning your local time is 2 hours behind greenwich 3. because each hour represents 15 degrees of longitude you are at longitude 2x15 = 30 degrees W ( you know it's west because it's *an earlier time* - the further west you are the further you are towards an earlier time)
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To determine your longitude, you need to know both...
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the apparent solar time and the time at your known longitude.
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1. june solstice 2. sun on meridian at 50 degrees in the south 3. universal clock tells you time is 15 hours *if you already have the altitude of the celestial equator just add to 90 and subtract to 180... if you're given this type of information you must use formula to find the altitude of CE*
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1. (tells you where sun is on celestial sphere) sun's declination = +23.5 degrees 2. meridian altitude of object - tells you that local time is 12:00 if on the meridian 3. meridian altitude = alt of CE + star's declination (50 - 23.5 = 26.5) 26.5 is altitude of celestial equator - now that we know how high celestial equator is.. we can find latitude = 63.5 degrees (90 +26.5 = x 180 -x = 63.5) - if UT is 3 hours ahead of us (because on meridian when sun is directly over head it is 12:00), we must be 3 hours to the West of their location, or 45 degrees to the west 15 degrees/hr = 45 W (west because their time is ahead of ours)
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Consider the statement "there is no gravity in space." True or False and WHY?
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Completely false because there is always gravity at some point from the center of earth, stars, solar system, the Milky Way, etc.
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True or false, suppose you can enter a vacuum chamber on earth, that is, a chamber with no air inside it. Inside this chamber, if you dropped a hammer and a feather from the same height at the same time, both was at the bottom at the same time.
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True being there is no air friction or anything in the way of both objects they will hit at the same time
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6 gees of acceleration = how many m/s^2
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6 x 9.8 m/s^2 = 58.8 m/s^2
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Speed
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Rate at which object moves speed = distance/time
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velocity
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speed and direction
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acceleration
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rate of change in speed/time (m/s^2)
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All falling objects accelerate at the same rate not counting...
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friction of air resistance
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On earth g = (Which means what?)
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10 m/s^2 (speed increases 10 m/s with each second of falling.)
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Galileo showed the g is the same for...
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all falling objects, regardless of their mass
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Momentum =
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mass x velocity
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A net force changes ..., which generally means...
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momentum; an acceleration (change in velocity).
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angular momentum
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Rotational momentum of a spinning or orbiting object
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is net forced described here? 1. A car coming to a stop 2. A bus speeding up 3. An elevator moving up at constant speed 4. A bicycle going around a curve 5. A moon orbiting Jupiter
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1. Y 2. Y 3. N 4. Y 5. Y ( speed or direction must change )
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mass
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a measure of the amount of matter in an object
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weight
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the force that a scale exerts upon an object
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You are ... in free-fall!
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weightless
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On the moon... (Weight/mass)
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My weight is less, my mass is the same.
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Is there gravity in space?
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Yes
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Weightlessness is due to...
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constant free fall
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Angular momentum describes ...
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objects that are spinning or moving in circles.
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torque
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needed to change an object's angular momentum.
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your weight under 6 g's v. 1 g
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weight increases by 6x
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weight =
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mass x gravity
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force =
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mass x acceleration
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Newton realized the same physical laws that operate on Earth also ...
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operate in the heavens
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Newton discovered laws of ... and ...
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motion; gravity
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Newton's first law of motion
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An object moves at constant velocity unless a net force acts to change its speed or direction
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Newton's Second Law of Motion
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There are two equivalent ways to express Newton's Second Law of Motion - Force = mass x acceleration - Force = rate of change in momentum
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Newton's Third Law of Motion
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For every force, there is always an equal and opposite reaction force
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How does the force the Earth exerts on you compare with the force you exert on it?
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Earth and you exert equal and opposite forces on each other
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A compact car and a Mack truck have a head-on collision. Are the following true or false? 1. The force of the car on the truck is equal and opposite to the force of the truck on the car. 2. The momentum transferred from the truck to the car is equal and opposite to the momentum transferred from the car to the truck. 3. The change of velocity of the car is the same as the change of velocity of the truck.
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1. The force of the car on the truck is equal and opposite to the force of the truck on the car. T 2. The momentum transferred from the truck to the car is equal and opposite to the momentum transferred from the car to the truck. T 3. The change of velocity of the car is the same as the change of velocity of the truck. F
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Objects continue at constant velocity because of
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conservation of momentum.
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The total momentum of interacting objects cannot change unless ...
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an external force is acting on them.
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Interacting objects exchange momentum ...
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through equal and opposite forces.
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Angular momentum is conserved as
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Earth orbits the sun
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distance is greater so (velocity?)
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velocity is smaller
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distance is smaller so (velocity?)
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velocity is greater
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Angular momentum =
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mass x velocity x radius
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The angular momentum of an object cannot change
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unless an external twisting force (torque) is acting on it.
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Earth experiences no twisting force as it orbits the Sun, so
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its rotation and orbit will continue indefinitely.
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Where do objects get their energy?
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Energy makes matter move. Energy is conserved, but it can: transfer from one object to another and change in form
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Kinetic (...) Radiative (...) Potential (...)
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motion. light. stored
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thermal energy
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The collective kinetic energy of many particles (for example, in a rock, in air, in water)
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Thermal energy is related to .. but it is NOT the same
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temperature
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Temperature
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the average kinetic energy of the many particles in a substance.
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thermal energy depends on
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temperature AND density because a higher average kinetic energy for the particles means a higher total energy and the more dense the more molecules that the substance contains
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gravitational potential energy on earth depends on..
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object's mass (m) strength of gravity (g) distance object could potentially fall
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In space, an object or gas cloud has more gravitational energy when
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it is spread out than when it contracts.
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A contracting cloud converts...
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gravitational potential energy to thermal energy
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Mass itself is a form of...
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potential energy called mass-energy (E=Mc^2)
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3 rules of conservation of energy
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- Energy can be neither created nor destroyed. - It can change form or be exchanged between objects. - The total energy content in an isolated system is always the same.
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The universal law of gravitation:
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1. Every mass attracts every other mass. 2. Attraction is directly proportional to the product of their masses. (Doubling mass, doubles gravity) 3. Attraction is inversely proportional to the square of the distance between their centers. (Doubling distance, weakens force of gravity - inverse square law)
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Kepler's laws apply to..., not just planets.
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all orbiting objects
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Bound orbits
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Orbits in which an object goes around another object over and over again
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Unbound orbits
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Paths that bring an object close to another object just once
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Because of momentum conservation, orbiting objects orbit around ...
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their center of mass.
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Newton's laws of gravity and motion showed that the relationship between the ... and ... of a system tells us ...
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orbital period; average orbital distance of a system; the total mass of the system.
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what is total orbital energy
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gravitational energy + kinetic energy
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Total orbital energy (gravitational + kinetic) stays constant if
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there is no external force
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Gravitational encounter
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Two objects pass each other enough that each can feel the effects of the other's gravity
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Atmospheric drag
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Friction causing objects to lose orbital energy
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Escape velocity
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An object that gains orbital energy moves out of one orbit and into another orbit with a higher average altitude
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Total orbital energy stays...
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constant
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farther from the sun (orbital distance and gravitational potential energy?)
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larger orbital distance means more gravitational potential energy
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slower orbital speed means (kinetic energy)
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less kinetic energy
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faster orbital speed means (kinetic energy)
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more kinetic energy
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smaller orbital distance means (gravitational potential energy?)
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less gravitational potential energy
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what can make an object gain or lose orbital energy?
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- Friction or atmospheric drag - A gravitational encounter
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If an object gains enough orbital energy, it may ...
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escape (change from a bound to unbound orbit).
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Moon's gravity pulls harder on ...
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near side of Earth than on far side.
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difference in moon's gravitation pull stretches...
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Earth
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The ... also has a small tidal effect on Earth.
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Sun; but because it's so distant, it isn't very much
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Tidal friction gradually slows ... (and makes the Moon...)
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Earth's rotation; get farther from Earth
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spring tides occur at
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new and full moon
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neap tides occur at
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first and third quarter moon
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The Moon once orbited faster (or slower); ... caused it to ''lock'' in synchronous rotation.
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tidal friction
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Conservation of momentum
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States that there are no external forces, the total momentum is conserved
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Momentum =
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Mass x velocity
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Conservation of angular momentum
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As long as there is no external torque, the total angular momentum of a set of interacting objects cannot change
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Torque
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Twisting force
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Angular momentum =
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M x v x r (Mass, orbital velocity, and radius of orbit or distance to sun)
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Angular momentum explains why
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We see so many spinning disks in the universe
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Law of conservation of energy
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Energy cannot appear out of nowhere; objects can gain or lose energy only by exchanging energy with other objects