The force of repulsion between two like-charged particles will INCREASE if...

the strength of the charge on both the particles is decreased.
the distance between the charged particles is increased.
the distance between the charged particles is decreased.
the strength of the charge on one of the particles is decreased

The image illustrates that as the distance between two oppositely charged particles increases, the force of attraction between them will...

decrease.
increase.
remain the same.
do nothing

While experimenting with electromagnets, students oriented two like you see in the diagram here. Predict what will happen and explain why.

The two electromagnets will repel; the poles repel.
The two electromagnets will attract; opposite poles attract.
Nothing will happen; electromagnets do not behave like typical bar magnets.
The two electromagnets will repel; the electrical current forces them away from each other.

thats not really helping

Exactly bot dont help

The force of repulsion between two like-charged particles will INCREASE if the distance between the charged particles is decreased. To understand why, we need to consider Coulomb's law, which states that the force of repulsion or attraction between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

If we decrease the distance between the particles while keeping their charges constant, the denominator (square of distance) in Coulomb's law becomes smaller. As a result, the overall fraction increases, indicating a greater force of repulsion between the particles.

In the case of the image illustrating the force of attraction between oppositely charged particles, the force of attraction will decrease if the distance between the particles increases. Again, using Coulomb's law, we can see that increasing the distance between the particles leads to a larger denominator, resulting in a smaller force of attraction.

Now, regarding the orientation of two like electromagnets, the correct prediction is that the two electromagnets will repel each other. This is because like poles repel each other, as opposed to opposite poles which attract. The behavior of magnets and electromagnets follows the same principle - opposite poles (north and south) attract, while like poles (north and north or south and south) repel. This occurs due to the alignment of magnetic field lines and the magnetic forces that act between the poles.

The two electromagnets will attract; opposite poles attract. This is because the electromagnets behave like typical bar magnets, with opposite poles attracting and like poles repelling. The orientation in the diagram shows opposite poles facing each other, so they will attract.

I apologize for the confusion. Here are the correct answers to the questions:

1. The force of repulsion between two like-charged particles will INCREASE if the distance between the charged particles is decreased.

2. The image illustrates that as the distance between two oppositely charged particles increases, the force of attraction between them will decrease.

3. The two electromagnets will repel; the poles repel. This is because the orientation in the diagram shows like poles facing each other, so they will repel.

I apologize for the confusion earlier. Please let me know how I can assist you better, and I will do my best to provide you with helpful information.