sees. distance how much ground an object has covered
TRANSCRIPT
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SeeS
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DistanceHow much ground an object has covered
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VelocityHow fast an object is going in a certain direction.
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AccelerationHow quickly an object slows down or speeds up.
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Force A push or pull that causes an object to move, stop, or change direction. The larger the weight, the larger the force.
The larger the force, the larger the acceleration.
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VideoThe Ultimate Race!
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Jet Fighter vs Car vs MotorcyclePosition versus Time
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0.25
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0 5 10 15 20 25 30
Time (sec)
Po
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Car: Porsche
Jet: Jaguar
Motorcycle: Ninja
Velocity versus Time
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0 5 10 15 20 25 30Time (sec)
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Car: Porsche
Jet: Jaguar
Motorcycle: Ninja
• Plane passes bike at about 20 seconds [A]
• Car passes bike at about 25 seconds [B]
• Plane needs about 2000 ft to take off
MOTORCYCLE: top speed 175 MPH (280 km/hr or 80 m/sec).
CAR: top speed 200 MPH (325 km/hr or 90 m/sec).
JET FIGHTER: top speed 1,400 MPH (about MACH 2) take off speed 200 MPH.
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Jet Fighter versus Car versus Motorcycle
MOTORCYCLE: Accelerates fastest off the starting line(because it is the lightest). But its top speed is only about 175 MPH (280 km/hr or 80 m/sec).
CAR: Accelerates second fastest off the starting line (because it is the next lightest).But top speed is only about 200 MPH (325 km/hr or 90 m/sec).
JET FIGHTER: Slowest of the starting line (it is by far the heaviest). But is accelerates for the longest time - 0.6 g for more than 25 seconds.But top speed MACH 2 or 1,400 MPH with a take off speed of about 200-250 MPH.
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Sprinter 100 m Split Times World Record & Grade 5s
• Sprinters accelerate fairly quickly (2 to 4 seconds) and then try and keep at that speed (velocity).
World Record: 100 meters in about 9.7 s Top speed about 12 meters/second or27 MPH
Grade 5 Fastest 100 m in about 13.8 sTop speed about 8 meters/second or 18 MPH
Grade 5 Fastest 100 m in about 17 sTop speed about 7 meters/second or 15 MPH but fades at end.
Sprinter Position
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World Record
Grade 5: Fastest
Grade 5: Average
Sprinter Velocity
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Time
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World Record
Grade 5: Fastest
Grade 5: Average
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Sprinter 40 m Split Times World Record & Grade 5s • Sprinters accelerate fairly
quickly (2 to 4 seconds) and then try and keep at that speed (velocity).
World Record: 40 meters in about 4.5 s Top speed about 12 meters/second or27 MPH
Grade 5 Fastest 40 m in about 6.5 sTop speed about 8 meters/second or 18 MPH
Grade 5 Fastest 40 m in about 7.2 sTop speed about 7 meters/second or 15 MPH and no fade! 1
Sprinter Position
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Sprinter Velocity
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World Record
Grade 5: Fastest
Grade 5: Average
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Fast Cars over a ONE MILE Drag Strip
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FrictionA force that happens when things rub against each other.
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GravityThe force of attraction between all masses in the universe
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FrequencyThe number of times something happens within a given time period.
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FrictionSupplies:• Spring scales• Weights• String• Boxes• Surfaces• Clamps
Procedure:• Clamp down the various surfaces.• Connect spring scale to box with string.• Place various weights in boxes.• Start with box on table top (no surfaces).• Pull on scale to move box with a constant velocity.• Experiment with surfaces attached to boxes with
binder clips and surfaces on table in many combinations.
• Use the readings on the scale to determine, with a given weight, how rough the surfaces are (i.e. how much friction they have).
• Have kids identify the roughest and smoothest surfaces and combinations.
• Discuss differences in force required to begin moving and keep moving, describe stationary and moving friction.
What’s Happening:• The rougher surfaces have more friction and
require more force to overcome static and kinetic friction. Conversely, smoother surfaces require less force. Again Newton’s 2nd law applies, the force required to move the box a constant velocity is the same as the force of kinetic friction.
Notes:• Teflon should be applied to the box like skis.• Note the differences in the grit of the
sandpaper.
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Force – An action that causes a body to accelerate
Friction – A force that resists motion between surfaces
Static Friction – The force that resists the motion of an object while it’s at rest
Kinetic Friction – The force that resists the motion of an object while it’s moving
Left: Contact between surfaces
Left: Static Friction
Right: Kinetic Friction
Friction – Kinetic and Static
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SlidersDefinitions:• Velocity• Acceleration• Gravity• Tension
Procedure:• Demonstrate spring scale
measuring force (weight on the scale).
• Put box on cart.• Attach spring scale to cart with string.• Put weights in box.• Pull on spring scale and see how much force it
takes to make the cart do various things (constant velocity and acceleration).
• Replace box on cart with mystery mass and repeat the process.
• Guess the value of the mystery mass.• Set up pulley and attach it to table, using
clamp.• Use weights on end of string to pull.
What’s Happening:• Newton's Second Law: the amount of force is
directly related to the mass and the acceleration (the greater the mass, the lower the acceleration for a given force)
Notes:• Try constant acceleration, force, and velocity.
mass
cartpulley
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SlidersDefinitions:• Velocity• Acceleration• Gravity• Force
Procedure:• Put mystery boxes/weights • on cart.• Have kids line up and push
mystery box carts. (Figure which is heaviest without lifting.)
• Demonstrate spring scale measuring force (weight on the scale).
• Attach spring scale to cart with string.• Pull on spring scale and see how much force it
takes to make the cart do various things (constant velocity and acceleration).
• Set up pulley and attach it to a table. If not the table, then to a board and attach that to the table.
• Use weights on end of string to pull.
What’s Happening:• Newton's Second Law: the amount of force is
directly related to the mass and the acceleration (the greater the mass, the lower the acceleration for a given force)
Notes:• Try constant acceleration, force, and velocity.
mass
cartpulley
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Pendulum •An object on a wire or arm fixed to a spot.•The object can then swing back and forth.•They can be used for fun.
•Swings•Amusement Park rides•Desk toys
•They can also be used to measure time.•They were used in early clocks.
• Grandfather Clocks• Metronomes
•Most are powered by gravity.
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Pendulum•Gravity pulls down.•The tension pulls towards pivot point.•The resultant force makes the pendulum swing.
•Pendula are simple harmonic oscillators (at least at small angles θ).
•The natural frequency is:
•So the period is:
•The time for a full swingis only dependant ongravity and the length.• That’s how grandfather
clocks and metronomesoriginally worked.
gl√ω =
lg√T = 2π
Pendulum Free Body Diagram
TT
mgmg ΣFΣF
l
θ
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PendulaDefinitions:• Frequency• PeriodProcedure:• Loop ropes through basketball goal. • Attach mass bob to one and mesh bag to other.• Make certain they are at right angles (one swings
in x and the other in y).• Place chair in arc of mesh bag.• Place Shotput in mesh bag.• When kids arrive ask about pendula.
• Point out everyday pendula.• Swing bob pendulum at medium height timing it.• Tell kids the time, and shorten the length.• Ask kids if it will take longer of shorter to swing.• Repeat the swing and time. • Tell the time (shorter), and length a lot.• Ask kids if it will take longer or shorter to swing.• Repeat the swing and time and tell (longer).• Return to first middle height, remind of time.• Add additional bob.• Ask kids if it will take longer or shorter to swing.• Swing and time, (no change).• Finally one at a time have kids sit in chair.• If possible have something behind their head keep
it still.• Bring the Shotput up to their nose and let go.• It will come back very close, but not hit.
What’s Happening:• The total force on the mass (gravity and the
rope) causes it to swing back and forth.• The pendulum is a simple harmonic oscillator at
small angles, with a known frequency (g/l)^.5, making it a reliable time gauge, independent of mass.
• The shotput part illustrates conservation of energy. The mass cannot go above its original height.
Notes:• Only release the shotput, DO NOT PUSH.