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Physics Einstein, atomic bombs, spacecraft, math
Baseballs, roller coasters, toasters, rainbows, cats The study of the physical world, the most fundamental of the sciences. The behavior and structure of matter.
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Hypothesis- a conjecture to be used as a basis for further investigation
Theory- a synthesis of a large body of information that encompasses well-tested and verified hypotheses Fact- close agreement by many competent observers of the same phenomenon. Law- a concise statement about how nature behaves
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The metric system The System Internationale, SI
Standards of length, time, and mass Length: meter, m Time: second, s Mass: kilogram, kg Derived units: a combination of fundamental units, such as meter per second, m/s
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Measurement uncertainties
Precision: the degree of exactness, is limited by the divisions on the scale Accuracy: how well the measure agrees with an accepted standard.
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Good measurements Parallax, the apparent shift in the position of an object when it is viewed from different angles.
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Scientific Notation and Rounding
356,000,000,000 3.56 x 1011 3 x 10-10 2.38 x 108 When moving the decimal point, the exponent changes: Left – Larger Right- Reduced 53.46
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It’s 1500 miles to Fresno, California
….EXACTLY 1500 miles??? Which numerals are significantly important in the measurement of a quantity?
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The rules for Significant Digits
All non-zero digits are significant. All zeros are significant unless the zeros are at the beginning of a numeral. Examples: ? Put in scientific notation!
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Graphing Data Independent axis: the x-axis- horizontal
Dependent axis: the y-axis- vertical The y values depend on the x values
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Graphing Data Linear relationship, y = mx + b Inverse relationship
y = b/x, b = rational number Quadratic relationship y = bx2
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Linear Motion Position- the location of an object relative to a reference point. We often use the letter x to represent position. (“x marks the spot” Sometimes we also use “d”, when position is some measured distance, d, from a reference point. Reference point- the point from which measurements are made.
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zero! Distance- how far something moves.
Displacement – how far something moves in a given direction. (It’s only concerned about where you started and where you stopped, not what you did in between.) Negative?? For example: if you take a trip all the way around the world and end up right back where you started, you traveled a great distance, but your displacement was zero!
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Rate- a quantity divided by time- how much something is changing in a certain amount of time
Speed- the rate at which position changes- “how fast?” Example: 60 miles per hour- the position of a car will change 60 miles in one hour. We will use m/s most often.
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total distance covered ÷ time interval
Average speed = total distance covered ÷ time interval Instantaneous speed- the speed at any instant
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D - “delta”- a symbol that means “the change in”
the change in position, D x Change in time, D t Change in velocity, D v The change in a value is the difference between the final value and the original value- “final minus original” velocity = final velocity – original velocity Example: a car was moving at 18 m/s and then sped up to 22 m/s. What was D v ? D v = 22 m/s m/s = 4 m/s
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Speed and Velocity In physics, speed and velocity are not the same!
Speed is “how fast”, Velocity is “how fast and in what direction”. Example: 10 m/s is a speed, 10 m/s north is a velocity
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Displacement = velocity x time d = vt
“uniform” means “constant, unchanging” At a uniform speed, the distance traveled is given by Distance = speed x time At uniform velocity, the displacement is given by Displacement = velocity x time d = vt
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Examples How far will you go while traveling at 23 m/s for 12 seconds?
d = vt = 23 m/s x 12 s = 276 m
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How long will it take to travel a distance of 240 km traveling at 12 m/s?
Convert 240 km to meters first! 240 km x = m Rearrange the equation d = vt to solve for t t = d ÷ v = m ÷ 12 m/s = 20000 s
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How far, in meters, will you go while traveling at 70 km/h for 18 seconds?
Convert to the 70 km/h to m/s first, then calculate the distance. 70 = m/s d = vt = 19.4 m/s x 18 s = 349 m
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Graphing Motion The velocity of an object can be found by determining the SLOPE on a position-time graph.
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