l need help with these Question

9. An asteroid approaches Jupiter and is slung into a new trajectory around across the solar system. If it's eccentricity is greater than 1, which statement might be true?
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1 point
The asteroid slows down as it passes around Jupiter.
The asteroid continues out of the solar system, never to return.
The asteroid adopts an unusual orbit around the sun, such as an egg shape.
The asteroid falls into an regular orbit around Jupiter instead of the sun.
10. The mass of an object doubles. What happens to the gravitational force between it and another object, assuming they remain the same distance apart?
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1 point
The amount of the gravitational force decreases by one-half.
The amount of the gravitational force quadruples.
The amount of the gravitational force doubles.
The amount of the gravitational force remains the same.
11. Based on Kepler's observations about planetary motion, what is the relationship between a planet's orbital velocity and its distance from the sun?
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1 point
The greater the distance, the slower the orbital velocity.
Distance has no effect on orbital velocity.
The greater the distance, the greater the orbital velocity.
As distance is cut in half, orbital velocity decreases.
12. Why was the geocentric model accepted for more than a thousand years?
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1 point
It correctly explained the motion of the planets.
It correctly described the solar system.
It was confirmed by astronomers using telescopes.
It correctly explained the distribution of the stars.
13. Select the correct answer to complete the sentence. Gravitational force is said to be universal because:
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1 point
it operates in one direction.
it operates only within our solar system.
it applies mainly to planets and moons.
it applies to all objects.
14. Select the correct words to fill in the blanks to this sentence: As a planet draws away from the sun in its orbit, the gravity pull from the sun pulls _________on the planet and the planet's speed _________.
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1 point
forwards, decreases
backwards, decreases
backwards, increases
forwards, increases
15. Why is it important that Earth’s orbit is nearly circular?
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1 point
This prevents massive temperature fluctuations that could occur with a more extremely elliptical orbit.
This allows for massive temperature fluctuations that occur with a more circular orbit.
This prevents massive temperature fluctuations that could occur with a more circular orbit.
This allows for gravitational fluctuations that occur with a more extremely elliptical orbit.
16. As the MASS of an object increases, its gravitational force ___________.
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1 point
decreases
increases
stays the same
17. Why were Tycho Brahe's data and observations important for Kepler's laws?
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1 point
They proved one of the laws to be true.
They disproved the laws.
They provided evidence to support the laws.
They had no relation to the laws.
18. The acceleration of a satellite can be derived by equating the universal gravitational force and the centripetal force.
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1 point
True
False
19. Which is the LEAST eccentric orbit?
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1 point
e=0.001
e=0.90
e=1
e=0.25
20. There are two objects close to each other. If the mass of one of the objects is doubled while the distance remains the same, how does the gravitational force change?
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1 point
It becomes four times stronger
It becomes half as strong
It remains the same
It becomes twice as strong
21. Which two things affect gravitational force between objects?
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1 point
Mass and distance
Mass and cellular composition
Mass and shape
Distance and shape
22. Which of the eight planets in the solar system has the most elliptical orbit?
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1 point
Venus
Earth
Mars
Mercury
23. Where is the sun located on Earth’s elliptical orbit?
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1 point
at the aphelium
at the perihelium
at a focus
at the center of the two foci
24. According to Newton’s Laws of Motion objects will continue in a straight line at a constant _________ unless acted on by an outside _____________.
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1 point
location, planet
speed, force
speed, time
location, force
25. The diagram below shows a model of the solar system. Which of the following statements is correct about this model?
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1 point
Captionless Image
This is the heliocentric model of the solar system and it was created by Aristotle.
This is the geocentric model of the solar system and it was created by Kepler.
This is the heliocentric model of the solar system and it was created by Kepler.
This is the geocentric model of the solar system and

it was created by Aristotle.

Here are the step-by-step answers to your questions:

9. An asteroid approaches Jupiter and is slung into a new trajectory around across the solar system. If its eccentricity is greater than 1, which statement might be true?
- The asteroid continues out of the solar system, never to return.

10. The mass of an object doubles. What happens to the gravitational force between it and another object, assuming they remain the same distance apart?
- The amount of the gravitational force doubles.

11. Based on Kepler's observations about planetary motion, what is the relationship between a planet's orbital velocity and its distance from the sun?
- The greater the distance, the slower the orbital velocity.

12. Why was the geocentric model accepted for more than a thousand years?
- It correctly explained the motion of the planets.

13. Gravitational force is said to be universal because:
- it applies to all objects.

14. As a planet draws away from the sun in its orbit, the gravity pull from the sun pulls __ on the planet and the planet's speed __.
- backwards, decreases

15. Why is it important that Earth’s orbit is nearly circular?
- This prevents massive temperature fluctuations that could occur with a more extremely elliptical orbit.

16. As the mass of an object increases, its gravitational force __.
- increases

17. Why were Tycho Brahe's data and observations important for Kepler's laws?
- They provided evidence to support the laws.

18. The acceleration of a satellite can be derived by equating the universal gravitational force and the centripetal force.
- True

19. Which is the least eccentric orbit?
- e=0.001

20. There are two objects close to each other. If the mass of one of the objects is doubled while the distance remains the same, how does the gravitational force change?
- It becomes four times stronger.

21. Which two things affect gravitational force between objects?
- Mass and distance.

22. Which of the eight planets in the solar system has the most elliptical orbit?
- Mercury

23. Where is the sun located on Earth’s elliptical orbit?
- at a focus

24. According to Newton’s Laws of Motion, objects will continue in a straight line at a constant __ unless acted on by an outside __.
- speed, force

25. The diagram below shows a model of the solar system. This is the __ model of the solar system and it was created by __.
- This is the geocentric model of the solar system and it was created by Kepler.

Sure! I can help you with these questions. Here are the answers and explanations for each question:

9. The correct statement would be "The asteroid continues out of the solar system, never to return." When the eccentricity of an asteroid's trajectory is greater than 1, it means that the trajectory is hyperbolic, and the asteroid will not be captured by the gravity of any celestial body.

10. The amount of the gravitational force would remain the same. The gravitational force between two objects depends on the product of their masses and inversely on the square of the distance between them. Doubling the mass of one object will double the numerator, but it will also double the denominator, resulting in the same gravitational force.

11. "The greater the distance, the slower the orbital velocity." According to Kepler's observations, the orbital velocity of a planet decreases as its distance from the sun increases. This relationship is known as Kepler's third law.

12. The geocentric model was accepted for more than a thousand years because it correctly explained the motion of the planets. Despite its inaccuracies, such as the belief that Earth was the center of the universe, the geocentric model provided a reasonably accurate description of the apparent motion of the planets in the sky.

13. Gravitational force is said to be universal because it applies to all objects. The force of gravity exists between any two objects with mass, regardless of their location or size.

14. "backwards, decreases." As a planet draws away from the sun in its orbit, the gravitational pull from the sun pulls backwards on the planet, causing the planet's speed to decrease.

15. It is important that Earth's orbit is nearly circular because this prevents massive temperature fluctuations that could occur with a more extremely elliptical orbit. A circular orbit ensures more constant distance from the sun throughout the year, leading to stable climate conditions.

16. As the mass of an object increases, its gravitational force increases. The force of gravity is directly proportional to the mass of the objects involved.

17. Tycho Brahe's data and observations were important for Kepler's laws because they provided evidence to support the laws. Tycho Brahe's meticulous and accurate observations of planetary motion were essential for Kepler to formulate his laws of planetary motion.

18. True. The acceleration of a satellite can be derived by equating the universal gravitational force and the centripetal force. This relationship is expressed in Newton's law of universal gravitation.

19. The least eccentric orbit is when e=0.001. Eccentricity is a measure of how elongated an orbit is, with values close to 0 indicating a nearly circular orbit.

20. The gravitational force becomes four times stronger. The gravitational force depends on the product of the masses and inversely on the square of the distance between the objects. Doubling the mass while keeping the distance constant quadruples the gravitational force.

21. Gravitational force between objects is affected by mass and distance. The force of gravity is directly proportional to the mass of the objects and inversely proportional to the square of the distance between them.

22. Mercury has the most elliptical orbit among the eight planets in the solar system. Its orbit is highly elongated, with a high eccentricity.

23. The sun is located at a focus on Earth's elliptical orbit. In an elliptical orbit, the sun is not at the center, but rather at one focus of the ellipse.

24. "speed, force." According to Newton's Laws of Motion, objects will continue in a straight line at a constant speed unless acted upon by an outside force.

25. The diagram represents the heliocentric model of the solar system, and it was created by Kepler. The heliocentric model places the sun at the center of the solar system, with the planets orbiting around it. Kepler developed this model based on his observations and mathematical analysis of the planetary motion.