warm up 1.what are units for velocity? 2.what are units for acceleration? 3.what is the equation for...
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![Page 1: Warm Up 1.What are units for velocity? 2.What are units for acceleration? 3.What is the equation for acceleration? 4.What is the equation for velocity?](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649e375503460f94b275d7/html5/thumbnails/1.jpg)
Warm Up
1. What are units for velocity?2. What are units for
acceleration?3. What is the equation for
acceleration?4. What is the equation for
velocity?
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Objective
• I CAN:– Relate gravitational force to mass and
distance
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Gravitational Force
The force of attraction between all masses in the universe
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Very Important!!
• Responsible for:– Creation of black holes– Structure of galaxies– Expansion of the universe– Things falling to the ground– Humans only being able to jump so high
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Gravity affects everything!
Universal Gravitation
![Page 6: Warm Up 1.What are units for velocity? 2.What are units for acceleration? 3.What is the equation for acceleration? 4.What is the equation for velocity?](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649e375503460f94b275d7/html5/thumbnails/6.jpg)
Gravity affects everything!
Universal Gravitation
![Page 7: Warm Up 1.What are units for velocity? 2.What are units for acceleration? 3.What is the equation for acceleration? 4.What is the equation for velocity?](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649e375503460f94b275d7/html5/thumbnails/7.jpg)
Gravity affects everything!
Universal Gravitation
![Page 8: Warm Up 1.What are units for velocity? 2.What are units for acceleration? 3.What is the equation for acceleration? 4.What is the equation for velocity?](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649e375503460f94b275d7/html5/thumbnails/8.jpg)
Gravity affects everything!
Universal Gravitation
![Page 9: Warm Up 1.What are units for velocity? 2.What are units for acceleration? 3.What is the equation for acceleration? 4.What is the equation for velocity?](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649e375503460f94b275d7/html5/thumbnails/9.jpg)
Newton’s Law of Universal Gravitation:
Fg = G m1m2
r2
Universal Gravitation
( )
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Fg = G m1m2
r2
Fg = Gravitational Force
G = Constant = 6.7 x 10-11
m1 = mass 1 m2 = mass 2r = dist b/w center of the 2
Universal Gravitation
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• Gravitational constant is CONSTANT (does not change)
• Mass- kg
• Distance- m
• Force- newtons (N) because that’s what happens when you discover things
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Newton’s Universal Law of Gravitation
• Gravitational force- weakest of all forces
• How does it hold the planets in orbit????
• The planets are VERY large and VERY far apart
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What could explain an increase in gravitational force?
• Fg = G m1m2
r2
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What could explain a decrease in gravitational force?
• Fg = G m1m2
r2
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Effect of gravitational force
↑ mass causes ↑ Fg
↓ mass causes ↓ Fg
↑ distance causes ↓ Fg
↓ distance causes ↑ Fg
…but by how much???
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• If the mass is multiplied by some number, then Fg is multiplied by that number
• If the mass is divided by some number, then Fg is divided by that number
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What happens to gravitational force if the mass of one object is
multiplied by 2?• Fg = G m1m2
r2
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What happens to the gravitational force if the mass of both bodies is
multiplied by 2?• Fg = G m1m2
r2
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What happens to gravitational force if the mass of both objects is
multiplied by 3?• Fg = G m1m2
r2
![Page 20: Warm Up 1.What are units for velocity? 2.What are units for acceleration? 3.What is the equation for acceleration? 4.What is the equation for velocity?](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649e375503460f94b275d7/html5/thumbnails/20.jpg)
What happens to the gravitational force if the mass of one body is
multiplied by 3 and the mass of the other body is multiplied by 1/2?
• Fg = G m1m2
r2
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• If the distance is multiplied by some number, Fg is divided by the SQUARE of that number
• If the distance is divided by some number, Fg is multiplied by the SQUARE of that number
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What happens to the gravitational force if the distance between the
objects is multiplied by 2?• Fg = G m1m2
r2
![Page 23: Warm Up 1.What are units for velocity? 2.What are units for acceleration? 3.What is the equation for acceleration? 4.What is the equation for velocity?](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649e375503460f94b275d7/html5/thumbnails/23.jpg)
What happens to the gravitational force if the distance between two
objects is divided by 2?
• Fg = G m1m2
r2
![Page 24: Warm Up 1.What are units for velocity? 2.What are units for acceleration? 3.What is the equation for acceleration? 4.What is the equation for velocity?](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649e375503460f94b275d7/html5/thumbnails/24.jpg)
What happens to the gravitational force if the distance between two
bodies is multiplied by 3?• Fg = G m1m2
r2
![Page 25: Warm Up 1.What are units for velocity? 2.What are units for acceleration? 3.What is the equation for acceleration? 4.What is the equation for velocity?](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649e375503460f94b275d7/html5/thumbnails/25.jpg)
Complete your worksheet independently
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How to calculate?
• Multiply out m1xm2/r2
• Multiply that times 6.7
• Remember scientific notation?
• Want one number in front of decimal
• If move decimal left, exponent becomes less negative
• If move decimal right, exponent becomes more negative
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If two .08kg cheerios are .03m apart, what is the gravitational force between them?
Universal Gravitation
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If two .08kg cheerios are .03m apart, what is the gravitational force between them?
m1 = .08 m2 = .08
Universal Gravitation
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If two .08kg cheerios are .03m apart, what is the gravitational force between them?
m1 = .08 m2 = .08 r = .03
Universal Gravitation
![Page 30: Warm Up 1.What are units for velocity? 2.What are units for acceleration? 3.What is the equation for acceleration? 4.What is the equation for velocity?](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649e375503460f94b275d7/html5/thumbnails/30.jpg)
If two .08kg cheerios are .03m apart, what is the gravitational force between them?
m1 = .08 m2 = .08 r = .03
Universal GravitationFg = G m1m2
r2
![Page 31: Warm Up 1.What are units for velocity? 2.What are units for acceleration? 3.What is the equation for acceleration? 4.What is the equation for velocity?](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649e375503460f94b275d7/html5/thumbnails/31.jpg)
If two .08kg cheerios are .03m apart, what is the gravitational force between them?m1 = .08 m2 = .08 r = .03
Fg = (6.7 x 10-11)(.08 x .08) (.03)2
Universal GravitationFg = G m1m2
r2
![Page 32: Warm Up 1.What are units for velocity? 2.What are units for acceleration? 3.What is the equation for acceleration? 4.What is the equation for velocity?](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649e375503460f94b275d7/html5/thumbnails/32.jpg)
If two .08kg cheerios are .03m apart, what is the gravitational force between them?m1 = .08 m2 = .08 r = .03
Fg = (6.7 x 10-11)(.0064) (.03)2
Universal GravitationFg = G m1m2
r2
![Page 33: Warm Up 1.What are units for velocity? 2.What are units for acceleration? 3.What is the equation for acceleration? 4.What is the equation for velocity?](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649e375503460f94b275d7/html5/thumbnails/33.jpg)
If two .08kg cheerios are .03m apart, what is the gravitational force between them?m1 = .08 m2 = .08 r = .03
Fg = (6.7 x 10-11)(.0064) (.0009)
Universal GravitationFg = G m1m2
r2
![Page 34: Warm Up 1.What are units for velocity? 2.What are units for acceleration? 3.What is the equation for acceleration? 4.What is the equation for velocity?](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649e375503460f94b275d7/html5/thumbnails/34.jpg)
If two .08kg cheerios are .03m apart, what is the gravitational force between them?m1 = .08 m2 = .08 r = .03
Fg = (6.7)x(10-11)x(7.1)
Universal GravitationFg = G m1m2
r2
![Page 35: Warm Up 1.What are units for velocity? 2.What are units for acceleration? 3.What is the equation for acceleration? 4.What is the equation for velocity?](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649e375503460f94b275d7/html5/thumbnails/35.jpg)
If two .08kg cheerios are .03m apart, what is the gravitational force between them?m1 = .08 m2 = .08 r = .03
Fg = (6.7x7.1)x(10-11)
Universal GravitationFg = G m1m2
r2
![Page 36: Warm Up 1.What are units for velocity? 2.What are units for acceleration? 3.What is the equation for acceleration? 4.What is the equation for velocity?](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649e375503460f94b275d7/html5/thumbnails/36.jpg)
If two .08kg cheerios are .03m apart, what is the gravitational force between them?m1 = .08 m2 = .08 r = .03
Fg = (48)x(10-11) N
Universal GravitationFg = G m1m2
r2
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If two .08kg cheerios are .03m apart, what is the gravitational force between them?m1 = .08 m2 = .08 r = .03
Fg = 4.8 x 10-10N
Universal GravitationFg = G m1m2
r2
![Page 38: Warm Up 1.What are units for velocity? 2.What are units for acceleration? 3.What is the equation for acceleration? 4.What is the equation for velocity?](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649e375503460f94b275d7/html5/thumbnails/38.jpg)
Complete your worksheet independently
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Cool Down
1. Does the gravitational constant ever change?
2. How does gravitational force change is distance is tripled?
3. How does gravitational force change if the mass of both bodies is doubled?
4. HW: finish worksheet