SPST201 quiz 3

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American Public University *

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201

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Mathematics

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Apr 3, 2024

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6

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Quiz 3 - Results Attempt 1 of 1 Written Dec 19, 2023 7:11 PM - Dec 19, 2023 8:08 PM Attempt Feedback Attempt Score 100 / 100 - 100 % Overall Grade (Highest Attempt) 100 / 100 - 100 % Default Question 1 6 / 6 points Newton's First Law of Motion discusses the principle of Question 2 6 / 6 points ___ right___ ___ hand___ ___ rule___ Question 3 7 / 7 points A perfect score. If desired, schedule a meeting with me via email or Microsoft Teams to go over this assignment. Make sure you know how to get the correct answer for every problem. Energy Gravitation Momentum Force We find the direction of the angular velocity vector and the angular momentum vector by using the ".
What is Newton's Law of Universal Gravitation? Include and explain the mathematical equation in your answer. Question 4 7 / 7 points The mass of an object denotes three things. State all three Question 5 8 / 8 points How fast would a 50kg bicycle have to travel to have the same linear momentum as a 1500 kg car moving at 25 m/s? Newton's Law of Universal Gravitation explains how every object in the universe attracts every other object with a gravitational force. This force depends on the masses of the objects and the distance between them. The more massive the objects, the stronger the force. However, the force gets weaker as the objects move farther apart. The equation is as follows: is the force of gravity G is the universal gravitational constant are the masses of the bodies R is the distance between the bodies The mass of an object denotes how much stuff an object has, it's inertia, and it's gravitational attraction
Question 6 6 / 6 points The apogee is the point of closest approach of the spacecraft to the occupied focus True False Question 7 7 / 7 points Explain the difference between kinetic and potential energy? Question 8 7 / 7 points Describe the terms semi major axis and eccentricity? Include and explain equations for both. Potential energy is the objects position such as a dumbell suspended 100 feet in the air. it is also known as "the energy an object in a conservative field has entirely because of its position". kinetic energy is the objects motion such as the dumbell falling from 100 feet in the air. it is also known as "a function of an object's mass and its velocity". Semimajor axis describes the size of the orbit with a minimum value of 6508km for a stable orbit around Earth. The size of an orbit relates to its specific mechanical energy using the following equation: Eccentricity is the shape of an orbit, for example, circular or elliptical. To calculate eccentricity you need to define the eccentricity vector with the following equation:
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Hide ques±on 8 feedback Question 9 7 / 7 points List and briefly describe the four items on the classic orbital elements checklist. Question 10 7 / 7 points = eccentricity vector μ = gravitational parameter (km3/s2) ≈ 3.986 × 105 km3/s2 for Earth V = magnitude of (km/s) R = magnitude of (km) = position vector (km) = velocity vector (km/s) You should also state what the variable 'a' is even if it's obvious. In your e vector formula it's actually instead of R x V. There is a big difference between the two. Orbits Size: its Semimajor axis Orbits Shape; its eccentricity Orbits Orientation: the orbital plane in space (its inclination and right ascension of the ascending node) as well as the orbit within the plane (the argument of perigee) Spacecrafts Location: this can be found using the True Anomaly
What type of orbit has an inclination between 0 and 90 degrees? At 90 degrees? Question 11 6 / 6 points When the specific mechanical energy < 0, the orbit is considered: Question 12 6 / 6 points ___ argument___ ___ of___ ___ perigee___ Question 13 7 / 7 points What is the difference between a geostationary orbit and a geosynchronous orbit? Question 14 6 / 6 points ___ nodal___ ___ displacement___ Question 15 7 / 7 points Which of the following is NOT a classic orbital element: between 0 and 90 degrees would be a Direct or Prograde orbit while at 90 degrees it is a Polar orbit Circular or elliptical Parabolic Hyperbolic None of the above The angle along the orbital path between the ascending node and perigee is called the a geostationary orbit has a spacecraft orbiting at the same rate at which the Earth rotates, resulting in the spacecraft maintaining a position over the same spot of the Earth throughout its orbit. A geosynchronous orbit is an inclined orbit with a period of about 24 hours. the same period as a geostationary orbit By measuring how much the orbit's ground track moves to the west from one orbit to the next, we use
Done Semimajor axis True longitude Right ascension of the ascending node True anomaly
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