Exam 15: The Origin of the Solar System
Describe some characteristics that the Jovian planets have in common. Use the solar nebula theory to explain the commonality.
The outer four planets, Jupiter, Saturn, Uranus, and Neptune, are Jovian (Jupiter-like) planets, meaning they are large, low-density worlds with thick atmospheres and liquid or ice interiors. According to the solar nebula theory, far from the Sun, beyond the ice line, compounds such as methane and ammonia could condense to form other types of ice. Water vapor, methane, and ammonia were abundant in the solar nebula, so beyond the ice line the nebula would have been filled with a blizzard of ice particles, mixed with small amounts of silicate and metal particles that could also condense there. Those ices are low-density materials. The densities of Jupiter and the other outer planets correspond to a mix of ices plus relatively small amounts of silicates and metal.
Ejection of material from the Solar System by close encounters with planets. If a small object such as a planetesimal passes close to a planet, the small object's path will be affected by the planet's gravitational field. In some cases, the small object can gain energy from the planet's motion and be thrown out of the Solar System.
The phenomenon described in the input question is known as a gravitational slingshot or gravity assist. It occurs when a small object, such as a comet, asteroid, or planetesimal, comes into close proximity with a larger body, like a planet, within a gravitational field. The interaction between the two objects can result in a significant alteration of the smaller object's trajectory and velocity.
Here's how the process works:
1. **Approach:** As the small object approaches the planet, it is pulled in by the planet's gravity. This causes the object to accelerate as it falls into the planet's gravitational well.
2. **Closest Approach:** The small object's path bends around the planet due to the gravitational attraction. The shape of this path depends on the initial trajectory and speed of the object, as well as the mass and velocity of the planet.
3. **Energy Exchange:** If the timing and angle of the approach are just right, the small object can "steal" some of the planet's orbital energy. This happens because the planet is also moving around the Sun, and as the small object swings around the planet, it can be accelerated by the planet's motion. This is similar to a slingshot effect, hence the name.
4. **Ejection:** The added energy can increase the small object's velocity to a point where it exceeds the escape velocity of the Solar System. If this happens, the object is ejected from the Solar System, sent off into interstellar space.
The gravity assist maneuver is not only a natural phenomenon but also a technique deliberately used by space agencies to send spacecraft on interplanetary missions. By carefully planning a spacecraft's trajectory to fly by planets, it can gain the necessary speed to reach distant destinations without requiring an impractical amount of fuel.
For a small object to be ejected from the Solar System by a planet, it must have a close encounter that is precisely aligned to maximize the energy transfer. The likelihood of such an event occurring naturally is low, but it is possible and has likely contributed to the population of interstellar objects passing through other star systems.
The diagram below illustrates the radioactive decay of potassium (40K), which has a half-life of 1.3 billion years. If a lunar rock is found that currently contains 5 grams of 40K, and it is determined that the sample contained 20 grams when it was formed, how old is the lunar rock

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-Using the graph shown above, find out how many half-lives does it take for all radioactive atoms to decay into daughter products,
The most important effect in clearing the solar nebula of gas and dust was
____________ are icy bodies left over from the formation of the solar system and are an example of a planetesimal.
The speed of the solar wind is approximately 400 km/s and the distance from the Sun to Saturn is 9.5 AU (1 AU = km). How long does it take a particle in the solar wind to reach Saturn
How is the presence of space debris accounted for by solar system models
How does the solar nebula theory account for the presence of comets
Suppose that Mercury grew to its present size in 1 million years through the accretion of particles averaging 100 g each. On average how many particles did Mercury capture each second Note: Mercury has a mass of kg and a radius of 2439 km.
____________ pushed gas and dust particles out of the solar nebula by the light from the Sun.
The oldest objects found so far in our solar system are Earth rocks that are 1 billion years old.
The original cloud from which the Sun and planets formed had a composition rich in hydrogen and helium.
-Using the graph shown above, find out how many half-lives does it take for 3/4 of the daughter products to form.
A planet found orbiting a star other than the Sun is called a(n) ____________.
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