Question

the images below show two pairs of magnets. the magnets in different pairs do not affect each other. all the magnets shown are made of the same material, but some of them are different sizes and shapes.
pair 1
pair 2
n
s
n
s
n
s
n
s
46.6 mm
46.6 mm
think about the magnetic force between the magnets in each pair. which of the following statements is true?
the magnitude of the magnetic force is greater in pair 1.
the magnitude of the magnetic force is greater in pair 2.
the magnitude of the magnetic force is the same in both pairs.

Explanation:

Step1: Analyze Magnetic Force Factors

Magnetic force between magnets depends on factors like the amount of magnetic material (related to size/volume, since same material) and distance. In Pair 1, both magnets have larger size (same distance 46.6 mm, and more material than Pair 2's smaller magnet). In Pair 2, one magnet is small, so total magnetic material interacting is less than Pair 1.

Step2: Compare Pair 1 and Pair 2

Pair 1: Both magnets are relatively large (ring and solid circle, same distance). Pair 2: One small (half - circle - like) and one large (ring). Since magnetic force is related to the amount of magnetic material (more material → stronger force, same material, so mass/volume related), Pair 1 has more total magnetic material interacting at the same distance (46.6 mm) compared to Pair 2. So the magnetic force magnitude is greater in Pair 1.

Answer:

The magnitude of the magnetic force is greater in Pair 1.