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Questions and Answers
What is the primary reason the Earth-Moon system's center of mass is closer to the Earth than to the Moon?
What is the primary reason the Earth-Moon system's center of mass is closer to the Earth than to the Moon?
- The Moon revolves around the Sun independently.
- The Earth's mass is significantly greater than the Moon's mass. (correct)
- The gravitational effects of the Sun dominate the system.
- The Moon has a higher density than the Earth.
How does the gravitational interaction between the Earth and Moon influence the motion of the center of mass of the system?
How does the gravitational interaction between the Earth and Moon influence the motion of the center of mass of the system?
- It causes the center of mass to move more rapidly.
- It has no effect on the motion of the center of mass. (correct)
- It creates a stable orbit for the Moon around the center of mass.
- It alters the elliptical path around the Sun.
What does the vector product of two vectors produce?
What does the vector product of two vectors produce?
- A new vector that lies in the same plane as the original vectors.
- A new vector that is perpendicular to the plane formed by the original vectors. (correct)
- A scalar quantity that represents their magnitudes.
- A vector that is identical to one of the original vectors.
Which of the following statements about the center of mass of the Earth-Moon system is true?
Which of the following statements about the center of mass of the Earth-Moon system is true?
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What factor determines the magnitude of the vector product of two vectors?
What factor determines the magnitude of the vector product of two vectors?
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Study Notes
Center of Mass in Earth-Moon System
- Earth's mass is 81 times larger than the Moon's
- The center of mass of the Earth-Moon system is closer to the Earth's center
- The Earth-Moon system revolves around the Sun
- The center of mass of the Earth-Moon system follows an elliptical path around the Sun
- The Sun's gravity acts on the entire Earth-Moon system, not just individual parts
Vector Product
- The vector product is also known as the cross product
- The vector product is a calculation involving two vectors
- The result of the vector product is a new vector perpendicular to the plane formed by the original two vectors
- The magnitude of the product is the product of the original vectors’ magnitudes multiplied by the sine of the angle between them
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