Question

which of the following actions would decrease in the gravitational force between two objects? 10 pointsincrease the distance between two objects by double, making them farther apart.decrease the distance between two objects by double, bringing them closer together.half the mass of one object, making in smaller.double the mass of one object, making is bigger.maglev trains are able to glide at great speeds using magnets. they place 10 pointsmagnets with opposing magnets close together to propel the train. this works because...like magnetic poles attractopposing magnetic poles repellike magnetic poles repel

Explanation:

Step1: Recall gravitational force law

The gravitational force between two objects is given by $F = G\frac{m_1m_2}{r^2}$, where $G$ is the gravitational constant, $m_1,m_2$ are the masses of the objects, and $r$ is the distance between them.

Step2: Analyze each gravity option

• Double distance: $r$ becomes $2r$, so $F_{new}=G\frac{m_1m_2}{(2r)^2}=\frac{1}{4}F$, force decreases.
• Halve distance: $r$ becomes $\frac{r}{2}$, so $F_{new}=G\frac{m_1m_2}{(\frac{r}{2})^2}=4F$, force increases.
• Halve one mass: $m_1$ becomes $\frac{m_1}{2}$, so $F_{new}=G\frac{\frac{m_1}{2}m_2}{r^2}=\frac{1}{2}F$, force decreases.
• Double one mass: $m_1$ becomes $2m_1$, so $F_{new}=G\frac{2m_1m_2}{r^2}=2F$, force increases.

Step3: Recall magnetic pole rules

Magnetic poles follow: like poles repel, opposite poles attract. Maglev trains use repulsion to glide, so they use like poles or use opposing poles to attract/repel for propulsion; the correct rule here is that like poles repel to create lift/propulsion.

Answer:

1. For the gravitational force question:

• Increase the distance between two objects by double, making them farther apart.
• Half the mass of one object, making it smaller.

1. For the Maglev train question:

• like magnetic poles repel