An asteroid approaches Jupiter and is slung around into a new trajectory across the solar system. Which of the following is possible?

The asteroid slows down as it passes around Jupiter.

The asteroid continues out of the solar system.

The asteroid adopts an unusual orbit around the sun, such as an egg shape.

The asteroid falls into an irregular orbit around Jupiter.

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.

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.

Based on Kepler's observations about planetary motion, the correct statement is:

The greater the distance, the slower the orbital velocity.

Kepler's third law of planetary motion, known as the law of harmonies, states that the square of a planet's orbital period is proportional to the cube of its average distance from the Sun. This means that if a planet is further from the Sun, its orbital period will be longer, and hence it will have a slower orbital velocity.

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

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.

The amount of the gravitational force doubles.

According to Newton's Law of Universal Gravitation, the gravitational force between two objects is directly proportional to the product of their masses. If one object's mass doubles while the other object's mass remains the same, the force of gravity between them will also double. Thus, the correct answer is that the amount of the gravitational force doubles.

Why was the geocentric model accepted for more than a thousand years?

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.

The geocentric model was accepted for more than a thousand years primarily because it was believed to correctly explain the motion of the planets.

In the geocentric model, Earth was considered to be the center of the universe, with other celestial bodies including the Sun, planets, and stars orbiting around it. This model provided a relatively accurate explanation for the observed motion of the planets in the sky, including their retrograde motion (temporary apparent reversal of direction).

While the geocentric model did not accurately describe the solar system (i.e., the true arrangement and scale of the planets), it was widely accepted due to its success in predicting and explaining phenomena within the limitations of naked-eye observations. The knowledge and technology available at the time limited the ability to observe and gather evidence that would disprove the geocentric model. It was not until the heliocentric model, proposed by Nicolaus Copernicus in the 16th century and supported by subsequent astronomical observations, that the understanding of the solar system shifted away from the geocentric perspective.

Select the correct answer to complete the sentence. Gravitational force is said to be universal because:

it operates in one direction.

it operates only within our solar system.

it applies mainly to planets and moons.

it applies to all objects.

The correct answer is: it applies to all objects.

Gravitational force is said to be universal because it applies to all objects in the universe. It is not restricted to a particular direction, our solar system, or specific celestial bodies like planets and moons. According to Newton's Law of Universal Gravitation, every object in the universe with mass experiences gravitational attraction to every other object with mass, regardless of their size, distance, or location.

Which factor is not needed when calculating the velocity of a satellite orbiting a planet?

the mass of the satellite

the orbital radius of the satellite

the mass of the planet

the universal gravitational constant

The factor that is not needed when calculating the velocity of a satellite orbiting a planet is:

the mass of the satellite.

The velocity of a satellite orbiting a planet is determined by the mass of the planet, the orbital radius of the satellite, and the universal gravitational constant. The mass of the satellite itself does not affect its orbital velocity.