Download - Do Now (on a new sheet please):
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Do Now (on a new sheet please):
What net force must act on a 5 kg mass that is moving at a constant speed of 4 m/s around a circle with a radius of 2 m?
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Objective/HomeworkObjective:Homework:
◦Circular Motion – due Tuesday 12/14◦Quiz: Circular Motion – Tuesday
12/14◦Lab: Circular Motion – Friday 12/17◦Kepler’s Laws Worksheet: Monday
12/20◦Test: 2-D Motion – Tuesday December
12/21
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What are some things you know about the universe?
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Keplar’s Laws and Universal Gravitation12/13/10
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Do Now (12/19):1.What are the three
views of the universe that changed over time?
2.Who are the men who developed each?
3.Which is our current view?
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History of Views of the UniverseAristotle: Geocentric
(everything rotates around the Earth in perfect circles)
Patterns of stars in the sky never change
Planets drift with respect to background stars
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History of Views of the UniverseNicolas Copernicus: Heliocentric
(everything rotates around the sun in perfect circles)
Accurately predicts the rising and setting Sun, moon, and stars
Accounts for retrograde motion of Mars, Jupiter, and Saturn
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History of Views of the UniverseJohannes Keplar: Heliocentric Used the accurate recorded
observations of Tyco Brahe to develop a new planetary model and three laws
Planets rotate around the sun in ellipses with the sun at one focus
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Keplar’s LawsFirst law: The path of each planet
about the sun is an ellipse with the sun at one focus
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Keplar’s LawsSecond Law: Each planet moves
so that the planet sweeps out equal areas in equal periods of time
http://www.physicsclassroom.com/mmedia/circmot/ksl.cfm
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Keplar’s LawsThird Law: The ratio of the
squares of the periods (time of rotation: T) of any two planets revolving around the sun is equal to the ratio of the cubes of their radius R from the sun
orr
T
r
T32
22
31
21
3
2
r
TK
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Variables and constants: T=period of orbitR or r= radius of orbitG=universal gravitational ; G=
6.67x10-11 Nm2/kg2
m=massF= forceK=Kepler’s constant
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Newton’s Law of Universal Gravitation
Fg = force of gravityG = 6.67x10-11 Nm2/kg2
r = distance between two objectsm = mass 1 or 2
221
r
mGmFg
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Equations:
221
r
mGmFg
r
Gmv
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Practice/Review:
Please use the rest of class to work on “Kepler’s Laws and Universal Gravitation.” Make sure your test trial results are in by the end of the day!!!
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Example:A 3 kg mass and a 2 kg mass are
placed with their centers 5 m apart. What is the force of attraction between them?
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Do Now:A 5 kg mass and a 6 kg mass are
placed with their centers 0.5 m apart. What is the force of attraction between them?
Turn in your Circular Motion worksheet and your Do Now’s from last week (starting with 12/6)
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Quiz:Clear your desks except for a
piece of paper and a writing utensil
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Quiz:A 9800 N car is driven on a
circular track with a diameter of 600 m at 30 m/s. Calculate the car’s centripetal acceleration & its centripetal force.
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Do Now (12/20):A 5 kg mass and a 6 kg mass are placed with their centers 0.5 m apart. What is the force of gravitational attraction between them?
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Law of Universal Gravitation: The gravitational force between
two objects
221
r
mGmFg
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Period of a planet orbiting the sun
sGm
rT
3
2
•ms: the mass of the sun (constant) •r: radius of orbit
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Speed of a satellite orbiting earthme= mass of the earthr=radius of orbit
r
Gmv e
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Period of a satellite orbiting the earth
r=radius of orbit
eGm
rT
3
2
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Practice/Review:
Please use the rest of class to work on “2-D Forces Review.” Make sure your test trial results are in!!! Once you finish, you may work on your notecard for tomorrow’s test.
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Do Now:What is the speed of the planet
Jupiter around the sun?◦hint – look on page 178 of your
classroom textbooks◦Hint – look for the radius of the
ORBIT not the radius of the planet
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Do Now:What is the period of the planet
Neptune around the sun?◦hint – look on page 178 of your
classroom textbooks