Question

the gravitational force between a 1 ( m_odot ) star and a 0.5 ( m_odot ) star separated by a distance of 100 light - years is stronger than the gravitational force between a 1 ( m_odot ) star and a 0.5 ( m_odot ) star separated by a distance of 10 light - years.
a planet exerts the same gravitational force on a star as the star exerts on the planet, just in the opposite direction. but since the planet is less massive than the star, it will be more significantly impacted by the star’s gravitational pull.
if a planet has two moons that are each 300,000 kilometers away, the gravitational force will be stronger between the planet and the more massive moon than between the planet and the less massive moon.
gravity is a type of energy that can be found throughout the universe.

Explanation:

1. For the first statement: Gravitational force follows an inverse-square law ($F \propto \frac{1}{r^2}$). A larger separation distance means a weaker force, so the force at 100 light-years is weaker than at 10 light-years.
2. For the second statement: Newton's third law states gravitational forces between two objects are equal and opposite. The less massive planet accelerates more ($a=\frac{F}{m}$), so it is more impacted.
3. For the third statement: Gravitational force is proportional to mass ($F \propto m$) when distance is constant. A more massive moon will have a stronger gravitational force with the planet.
4. For the fourth statement: Gravity is a fundamental force, not a form of energy. It can do work, but it is not energy itself.

Answer:

1. False
2. True
3. True
4. False