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Explanation & Answer
Please note that equation1) gives the length of the vector A, when its components, namely A_x and A_y are given.
Example:
let's suppose that the subsequent vector v is given:
v = (-2, 5), then its length || v || is:
|| v || = sqrt( 4+25) = sqrt(29
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WEAX 201 ERAU Daytona Beach Meteorology Earths Atmosphere Discussion
Choose TWO questions - one from each question set below - to answer. Place your chosen questions and the formulated answer ...
WEAX 201 ERAU Daytona Beach Meteorology Earths Atmosphere Discussion
Choose TWO questions - one from each question set below - to answer. Place your chosen questions and the formulated answers* within a separate document that includes your name at the top.*Your answers will be scored on completeness, correctness, clarity, and conciseness, and the degree of synthesis and application of the related concepts, not on how many words they contain. More is not necessarily better!Question Set 1: Weather Applications in Everyday LifeDescribe the general trends in pressure and temperature data collected as a radiosonde attached to a weather balloon rises through the troposphere. Support your answer by synthesizing and applying concepts explored in Module 1 regarding the vertical structure of the atmosphere.During a summer vacation to Mammoth Mountain, California, you and some friends are planning to take the ski lift to the top of the mountain, at nearly 11,000 feet above sea level, and descend on bikes. Assuming there is no rain in the forecast, how should you and your friends prepare for this adventure based on the expected changes in atmospheric conditions during the descent? Support your answer by synthesizing and applying concepts explored in Module 1 regarding the vertical structure of the atmosphere.Assume that the weather at the Embry-Riddle campus in Daytona Beach, FL, is currently dominated by low pressure, and that the weather at the Embry-Riddle campus in Prescott, Arizona, is currently dominated by high pressure. Synthesize and apply concepts explored in Module 1 to describe the expected differences in the current weather conditions at each location based on the stated differences in relative pressure. Your discussion should include references to several specific weather elements.Synthesize and apply concepts explored in Module 1 to explain how you could determine the approximate locations of surface high and low-pressure systems by viewing a weather satellite image of cloud cover over the United States.Question Set 2: Weather Applications in AviationYou are a member of an airport development firm who has been contracted to build two new regional airports – one in a valley nestled in high mountains and one near an ocean coastline. Synthesize and apply concepts explored in Module 1 to explain why your firm should consult a climate expert in the planning process.Synthesize and apply concepts explored in Module 1 regarding the vertical structure of the atmosphere to explain the need for commercial aircraft cabin air pressurization.The upward lift on an aircraft wing is directly proportional to the atmospheric density. All other factors aside, will the upward lift on an aircraft wing increase or decrease as it gains altitude? Synthesize and apply concepts explored in Module 1 to justify your answer.After choosing any TWO weather elements described in Module 1, make specific connections between each weather element and expected or potential impacts to flight operations (during either takeoff, landing, or en route).https://www.weather.gov/jetstream/layershttps://scied.ucar.edu/learning-zone/atmosphere/we...https://www.weather.gov/jetstream/pressurehttps://www.youtube.com/watch?v=zz_CRzcIT-Qhttps://www.youtube.com/watch?v=zz_CRzcIT-Q
Gravity
Lab Assignment 9: Gravity
Instructor’s Overview
As you continue with your study of physics, you'll learn that there ar ...
Gravity
Lab Assignment 9: Gravity
Instructor’s Overview
As you continue with your study of physics, you'll learn that there are four
fundamental interactions in nature. These interactions are summarized in this
table:
Interaction
Comments
Relative strength
Effective range
Strong nuclear
force
Binds protons and neutrons in
nuclei
1
10-15 m
Electromagnetic
force
Force between charged
particles. Follows inverse-
square law.
10-2
Infinite
Weak force
Responsible for certain types
of radioactive decay
10-13
10-18 m
Gravitational
force
Force between all objects.
Determined by magnitude of
masses and separation.
Follows inverse-square law.
10-38
Infinite
So gravity is one of the four fundamental forces of nature. We will learn about
the other three in Physics II. Some interesting things to note about the
gravitational force:
In a relative sense, it is the weakest of the four fundamental interactions.
Even so, gravity is largely responsible for the dynamics of our solar system,
galaxy, and the Universe as a whole.
Gravity acts over an infinite distance. Objects may be separated by
thousands of light years, but they experience gravitational attraction.
Gravitational interactions obey the inverse-square law.
Coulomb's Law dictating the force between two charged particles is also an
inverse-square relationship.
In this lab, you will perform experiments that illuminate the concept of
gravitational interaction.
This activity is based on Lab 10 of the eScience Lab kit.
Our lab consists of two main components. These components are described in
detail in the eScience manual. Here is a quick overview:
JWH
1 Physics I
Experiment 1: In the first part of the lab, you will subject a variety of
objects to the force of gravity and discuss your observations.
Experiment 2: In the second part of the lab, you will use a flashlight as an
analogy to demonstrate the inverse-square law of gravity.
Take detailed notes as you perform the experiment and fill out the sections
below. This document serves as your lab report. Please include detailed
descriptions of your experimental methods and observations.
Date:
Student:
Abstract
Introduction
Material and Methods
Results
Based on your results from the experiments, please answer the following
questions:
Experiment 1: Falling in a Gravitational Field
1. The following expression for the acceleration due to gravity works well for
objects near the Earth’s surface (G is the gravitational constant, Me is the
mass of the Earth, and Re is the radius of the Earth):
𝑔 = 𝐺𝑀𝑒
𝑅2
𝑒
Use the above equation to calculate the gravitational acceleration at an
altitude of 100,000 meters above the Earth. By what percentage is this
acceleration different from that on the Earth's surface?
2. How does air resistance alter the way we perceive falling objects?
JWH
2 Physics I
3. Using the universal law of gravitation, show that the gravitational
acceleration experienced by an object is independent of its mass.
Experiment 2: Inverse Square Law
Data table
Distance from
wall
Diameter of light
circle
Radius of light
circle
Area of light
circle
NOTE: Be sure to specify your units.
How did the intensity (brightness) of the circle of light seem to changes as
you increased the source distance?
How did the area of the circle of light change as you moved farther away?
How does this relate to the gravity field of a body?
Make a plot of distance vs. area for the light shining from the cup to the wall
(plot the area data on the y‐axis).
Draw a line of best fit through your data points, and comment on the general
shape of your plot. What kind of relationship does this indicate (i.e. linear,
exponential, logarithmic, etc.)?
If the amount of light shining from the flashlight is constant, the intensity of
light should decrease as the area it shines on gets larger. Using your plot
from question 2, sketch an approximate plot for light intensity vs. distance.
JWH 3 Physics I
6. If you moved too far away from the wall the circle of light probably became
very difficult to see. Is the intensity of the light circle ever zero? Is it correct to
say that gravity doesn’t exist between objects on opposite sides of the
galaxy?
Conclusions
References
JWH 4 Physics I
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Most Popular Content
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Grazing Plan V2 1 1 1
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8 pages
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A scientist believes that she has found a new life form. Which of the following conditions is NOT considered essential in ...
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A scientist believes that she has found a new life form. Which of the following conditions is NOT considered essential in determining whether the ...
8 pages
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• metric ruler (preferably one with 0.1 cm increments, like in Example 1 below) If you have access to a printer, please ...
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• metric ruler (preferably one with 0.1 cm increments, like in Example 1 below) If you have access to a printer, please print out any sheets on ...
WEAX 201 ERAU Daytona Beach Meteorology Earths Atmosphere Discussion
Choose TWO questions - one from each question set below - to answer. Place your chosen questions and the formulated answer ...
WEAX 201 ERAU Daytona Beach Meteorology Earths Atmosphere Discussion
Choose TWO questions - one from each question set below - to answer. Place your chosen questions and the formulated answers* within a separate document that includes your name at the top.*Your answers will be scored on completeness, correctness, clarity, and conciseness, and the degree of synthesis and application of the related concepts, not on how many words they contain. More is not necessarily better!Question Set 1: Weather Applications in Everyday LifeDescribe the general trends in pressure and temperature data collected as a radiosonde attached to a weather balloon rises through the troposphere. Support your answer by synthesizing and applying concepts explored in Module 1 regarding the vertical structure of the atmosphere.During a summer vacation to Mammoth Mountain, California, you and some friends are planning to take the ski lift to the top of the mountain, at nearly 11,000 feet above sea level, and descend on bikes. Assuming there is no rain in the forecast, how should you and your friends prepare for this adventure based on the expected changes in atmospheric conditions during the descent? Support your answer by synthesizing and applying concepts explored in Module 1 regarding the vertical structure of the atmosphere.Assume that the weather at the Embry-Riddle campus in Daytona Beach, FL, is currently dominated by low pressure, and that the weather at the Embry-Riddle campus in Prescott, Arizona, is currently dominated by high pressure. Synthesize and apply concepts explored in Module 1 to describe the expected differences in the current weather conditions at each location based on the stated differences in relative pressure. Your discussion should include references to several specific weather elements.Synthesize and apply concepts explored in Module 1 to explain how you could determine the approximate locations of surface high and low-pressure systems by viewing a weather satellite image of cloud cover over the United States.Question Set 2: Weather Applications in AviationYou are a member of an airport development firm who has been contracted to build two new regional airports – one in a valley nestled in high mountains and one near an ocean coastline. Synthesize and apply concepts explored in Module 1 to explain why your firm should consult a climate expert in the planning process.Synthesize and apply concepts explored in Module 1 regarding the vertical structure of the atmosphere to explain the need for commercial aircraft cabin air pressurization.The upward lift on an aircraft wing is directly proportional to the atmospheric density. All other factors aside, will the upward lift on an aircraft wing increase or decrease as it gains altitude? Synthesize and apply concepts explored in Module 1 to justify your answer.After choosing any TWO weather elements described in Module 1, make specific connections between each weather element and expected or potential impacts to flight operations (during either takeoff, landing, or en route).https://www.weather.gov/jetstream/layershttps://scied.ucar.edu/learning-zone/atmosphere/we...https://www.weather.gov/jetstream/pressurehttps://www.youtube.com/watch?v=zz_CRzcIT-Qhttps://www.youtube.com/watch?v=zz_CRzcIT-Q
Gravity
Lab Assignment 9: Gravity
Instructor’s Overview
As you continue with your study of physics, you'll learn that there ar ...
Gravity
Lab Assignment 9: Gravity
Instructor’s Overview
As you continue with your study of physics, you'll learn that there are four
fundamental interactions in nature. These interactions are summarized in this
table:
Interaction
Comments
Relative strength
Effective range
Strong nuclear
force
Binds protons and neutrons in
nuclei
1
10-15 m
Electromagnetic
force
Force between charged
particles. Follows inverse-
square law.
10-2
Infinite
Weak force
Responsible for certain types
of radioactive decay
10-13
10-18 m
Gravitational
force
Force between all objects.
Determined by magnitude of
masses and separation.
Follows inverse-square law.
10-38
Infinite
So gravity is one of the four fundamental forces of nature. We will learn about
the other three in Physics II. Some interesting things to note about the
gravitational force:
In a relative sense, it is the weakest of the four fundamental interactions.
Even so, gravity is largely responsible for the dynamics of our solar system,
galaxy, and the Universe as a whole.
Gravity acts over an infinite distance. Objects may be separated by
thousands of light years, but they experience gravitational attraction.
Gravitational interactions obey the inverse-square law.
Coulomb's Law dictating the force between two charged particles is also an
inverse-square relationship.
In this lab, you will perform experiments that illuminate the concept of
gravitational interaction.
This activity is based on Lab 10 of the eScience Lab kit.
Our lab consists of two main components. These components are described in
detail in the eScience manual. Here is a quick overview:
JWH
1 Physics I
Experiment 1: In the first part of the lab, you will subject a variety of
objects to the force of gravity and discuss your observations.
Experiment 2: In the second part of the lab, you will use a flashlight as an
analogy to demonstrate the inverse-square law of gravity.
Take detailed notes as you perform the experiment and fill out the sections
below. This document serves as your lab report. Please include detailed
descriptions of your experimental methods and observations.
Date:
Student:
Abstract
Introduction
Material and Methods
Results
Based on your results from the experiments, please answer the following
questions:
Experiment 1: Falling in a Gravitational Field
1. The following expression for the acceleration due to gravity works well for
objects near the Earth’s surface (G is the gravitational constant, Me is the
mass of the Earth, and Re is the radius of the Earth):
𝑔 = 𝐺𝑀𝑒
𝑅2
𝑒
Use the above equation to calculate the gravitational acceleration at an
altitude of 100,000 meters above the Earth. By what percentage is this
acceleration different from that on the Earth's surface?
2. How does air resistance alter the way we perceive falling objects?
JWH
2 Physics I
3. Using the universal law of gravitation, show that the gravitational
acceleration experienced by an object is independent of its mass.
Experiment 2: Inverse Square Law
Data table
Distance from
wall
Diameter of light
circle
Radius of light
circle
Area of light
circle
NOTE: Be sure to specify your units.
How did the intensity (brightness) of the circle of light seem to changes as
you increased the source distance?
How did the area of the circle of light change as you moved farther away?
How does this relate to the gravity field of a body?
Make a plot of distance vs. area for the light shining from the cup to the wall
(plot the area data on the y‐axis).
Draw a line of best fit through your data points, and comment on the general
shape of your plot. What kind of relationship does this indicate (i.e. linear,
exponential, logarithmic, etc.)?
If the amount of light shining from the flashlight is constant, the intensity of
light should decrease as the area it shines on gets larger. Using your plot
from question 2, sketch an approximate plot for light intensity vs. distance.
JWH 3 Physics I
6. If you moved too far away from the wall the circle of light probably became
very difficult to see. Is the intensity of the light circle ever zero? Is it correct to
say that gravity doesn’t exist between objects on opposite sides of the
galaxy?
Conclusions
References
JWH 4 Physics I
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