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hey comes A Relate The gravitational attraction between two objects will __ if one object acquires more mass. 5 Relate The gravitational attraction between two objects will __ if the objects move farther apart. 6 Explain Why are large astronomical bodies such as planets and stars round?
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### 4. **Relate: The gravitational attraction between two objects will __ if one object acquires more mass.**<br /><br />The gravitational attraction between two objects will **increase** if one object acquires more mass. <br /><br />This is because the force of gravity is directly proportional to the product of the masses of the two objects, as described by Newton's Law of Universal Gravitation:<br /><br />\[<br />F = G \frac{m_1 m_2}{r^2}<br />\]<br /><br />Where:<br />- \( F \) is the gravitational force,<br />- \( G \) is the gravitational constant,<br />- \( m_1 \) and \( m_2 \) are the masses of the two objects,<br />- \( r \) is the distance between their centers.<br /><br />If one object's mass increases, the product \( m_1 m_2 \) becomes larger, leading to a stronger gravitational force.<br /><br />---<br /><br />### 5. **Relate: The gravitational attraction between two objects will __ if the objects move farther apart.**<br /><br />The gravitational attraction between two objects will **decrease** if the objects move farther apart.<br /><br />This is because the gravitational force is inversely proportional to the square of the distance between the two objects (\( r^2 \)). As the distance increases, the denominator in the equation becomes larger, reducing the overall force:<br /><br />\[<br />F = G \frac{m_1 m_2}{r^2}<br />\]<br /><br />For example, if the distance doubles, the gravitational force becomes one-fourth as strong.<br /><br />---<br /><br />### 6. **Explain: Why are large astronomical bodies such as planets and stars round?**<br /><br />Large astronomical bodies such as planets and stars are round due to the force of gravity. Gravity pulls matter toward the center of mass of the object, exerting an equal force in all directions. This causes the material to distribute itself evenly around the center, forming a spherical shape.<br /><br />Key points:<br />- A sphere is the most efficient shape for minimizing potential energy under the influence of gravity.<br />- For smaller objects (like asteroids), gravity may not be strong enough to overcome the rigidity of the material, so they can have irregular shapes.<br />- However, for larger bodies like planets and stars, gravity dominates over other forces, pulling the material into a round shape.<br /><br />This phenomenon is why most celestial bodies above a certain size threshold (known as the "hydrostatic equilibrium" limit) are spherical.
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