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Enduring Understanding: Studying dynamics (causes of motion) has had a profound effect on the way humans view their world. Essential Question: What may be accomplished by understanding dynamics? Essential Question: How did Newton’s Law of Universal Gravitation change the way we view the universe? Essential Question: How does the application of Newton’s Law of Universal Gravitation affect our times?
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Universal Gravitation
Newton reasoned that there is a force of attraction between every two objects in the universe.
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He used this reasoning to explain everything from an apple falling to the orbit of the moon and the planets.
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Previously, people thought that the physical rules in the sky were different than the physical rules on earth. Previous to Newton, what were some ways that humans explained what they saw in the sky?
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What are the factors affecting the attraction between two objects?
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F = Gm1m2/r2 m1 = mass m2 = mass 2 r = the center to center distance between the two masses G is the Universal Gravitational constant and has a value of x 10-11
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A 10 kg and a 15 kg object are 20 m apart
A 10 kg and a 15 kg object are 20 m apart. Calculate the gravitational force of attraction between the two. 2.50 x N
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Even though, you have a force of attraction to every object in the universe, you do not notice this attraction all that often. Why?
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In order for you to feel the attraction, the object must be very close to you and very massive.
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The earth is very close to you and very massive.
The attraction you feel with the earth is called your weight.
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Calculate the weight of a 65 kg object by using w = mg
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Calculate the force of attraction a 65 kg object feels with the earth
Calculate the force of attraction a 65 kg object feels with the earth. Mass of the earth, 5.98 x 1024 kg. The radius of the earth is x 106 m, use this as the value for r. N
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The radius of a planet is 7. 2 x 107 m. Its mass is 2. 7 x 1027 kg
The radius of a planet is 7.2 x 107 m. Its mass is x 1027 kg. What is the gravitational force or weight felt by a 50 kg person on this planet? 1.74 x 103 N
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What is the acceleration due to gravity on this planet?
34.8 m/s2
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If the space shuttle is flying 270,000 m above the surface of the earth, what gravitational force of attraction will a 60 kg person feel? N
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What is the acceleration due to gravity where the space shuttle is located?
9.02 m/s2
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How does the application of Newton’s Law of Universal Gravitation affect our times?
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