1. Newton’s Universal Law of Gravity
SWBAT
Describe Newton’s historical impact.
Use Newton’s universal law of gravity to determine the force and behavior of various objects.

2. Why do we have to learn this?
Cancer Cured
Scientist Discover Drug
The American Revolutionary War
Mankind invents the wheel

3. Sir Isaac Newton

4. Time-Line 1500 AD Jesus 1000 AD 200 BC 500 AD Moon Landing
American Revolution
Jesus
1500 AD
200 BC
500 AD
1000 AD
Aristotle
Earth is center
Now
Newton Birth of modern physics
Copernicus Heliocentric

5. Newton’s Mountain

6. Newton’s Universal Law of Gravity
Newton’s thought experiment led him to realize that the force that pulls an apple to the ground is the same force that keeps the moon in its orbit.

7. v
Fgravity

8. v Fc

9. Newton’s Universal Law of Gravity
F: The force of gravity between m1 and m2 m: The mass of object 1 and object 2 d: The distance from center to center G: gravitational constant F d m1 m2
G = 6.67x10-11 Nm2/kg2

10. Mathematical Relationshipsd
(m1m2) d2 F 1
(1*1)/12 = 1/1 2
(2*1)/12 = 2/1 4 10

11. Mathematical Relationshipsd
(m1m2) d2 F 1
(1*1)/12 = 1/1 2
(2*1)/12 = 2/1 4
(4*1)/12 = 4/1
(1*1)/22 = 1/22 10
(1*1)/102 = 1/102
1/100
1/2
1/(1/2)2 = 1/(¼)

12. Mathematical Relationships
Fill in the table for the next four questions.
What happens to F if we
double both m1 and m2?
triple the distance?
Make the distance 5 times less?
Make both masses 2 times greater and distance 4 times greater?
4 times greater
9 times LESS
25 times greater
4 times greater / 16 times less = 4 times less

13. Determine Force of gravity between…
You and a friend 5 meters apart (use 70 kg for both your masses). N

14. Determine Force of gravity between…
The Earth and you.
~690 N
Mass of you…………………..~70 kg
Mass of the Earth……………5.98x1024 kg
Radius of the Earth………….6.37x106 m

15. Can you jump higher at noon time?

16. Force of gravity between you and the sun?
Mass of the Earth………………5.98x1024 kg
Mass of the Sun………………..1.99x1030 kg
distance from you to the center of the sun…..………1.50x1011 m

17. Force of gravity between you and the sun?

18. Force of gravity between you and the moon?
Mass of you…………………..~70 kg
Mass of the moon……………7.34x1022 kg
Distance to the moon………….3.84x108 m
0.002 N
700 N

19. Newton’s Universal Law of Gravity
SWBAT
Describe Newton’s historical impact.
Use Newton’s universal law of gravity to determine the force and behavior of various objects.