Question

the images below show four 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. think about the magnetic force between the magnets in each pair. select the pair with the magnetic force of greatest magnitude. pair 1 diagram: circle magnet (n/s) and bar magnet (n/s) separated by 4.5 in pair 2 diagram: bar magnet (s/n) and circle magnet (n/s) separated by 2 in pair 3 diagram: bar magnet (n/s) and circle magnet (n/s) separated by 2 in pair 4 diagram: bar magnet (n/s) and circle magnet (s/n) separated by 4.5 in

Explanation:

Step1: Recall Magnetic Force Factors

Magnetic force magnitude depends on distance (inverse - related, closer = stronger) and magnet strength (larger/same - material magnets have more strength, also attraction/repulsion: but for magnitude, attraction/repulsion doesn't change magnitude, just direction). Also, the size of the magnet (more material, stronger field, so stronger force when interacting).

Step2: Analyze Each Pair

• Pair 1: Distance = 4.5 in, one small bar magnet, one round magnet.
• Pair 2: Distance = 2 in, small bar magnet, round magnet. But check polarity: bar is S - N, round is N - S. So attraction? But distance is 2 in, but bar is small.
• Pair 3: Distance = 2 in, larger bar magnet (longer than Pair 2's bar) and round magnet. Larger bar (more material, same material) means stronger magnet. Distance is 2 in (close), and polarity: bar N - S, round N - S? Wait, bar is N (green) - S (purple), round is N (green) - S (purple). Wait, no: bar's N is green, S is purple; round's N is green, S is purple. So if bar's S (purple) is near round's N (green)? Wait, no, the bar is N - S (green - purple), round is N - S (green - purple). So the bar's S (purple) is facing the round's N (green)? Wait, no, the diagram: Pair 3 has bar magnet (N - S, green - purple) and round magnet (N - S, green - purple), distance 2 in. Wait, maybe I misread. Wait, Pair 3: bar is N (green) - S (purple), round is N (green) - S (purple). So the bar's S (purple) is next to round's N (green)? So attraction. And the bar is larger than Pair 2's bar (Pair 2's bar is shorter). Also, distance is 2 in (same as Pair 2, but bar is larger).
• Pair 4: Distance = 4.5 in, bar and round (round is S - N, bar is N - S). So repulsion? But distance is 4.5 in (far), so force is weak.

Now, compare Pair 2 and Pair 3: same distance (2 in), but Pair 3's bar magnet is larger (longer) than Pair 2's bar. Larger magnet (same material) has more magnetic strength, so the force between Pair 3's magnets should be greater. Also, Pair 1 and 4 have larger distance (4.5 in), so force is weaker than Pair 2 and 3. Between Pair 2 (small bar) and Pair 3 (large bar), Pair 3 has larger magnet, so greater force.

Answer:

Pair 3