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 weakest magnetic force. pair 1 pair 2 pair 3 pair 4 submit

Explanation:

Step1: Analyze the factors affecting magnetic force

The magnetic force between two magnets depends on the distance between them. The greater the distance, the weaker the magnetic force.

Step2: Compare the distances in each pair

• Pair 1: Distance is \(1.35\) cm.
• Pair 2: Distance is \(3.05\) cm.
• Pair 3: Distance is \(1.35\) cm.
• Pair 4: Distance is \(3.05\) cm.

Since \(3.05>1.35\), we further check the orientation. In Pair 2, the magnets are larger but the key is distance. In Pair 4, although the magnets are smaller, the distance \(3.05\) cm is the same as Pair 2. But magnetic force also relates to the alignment of poles. However, the main factor here (as per the problem's likely intention, focusing on distance) is that Pair 4 has the same large distance as Pair 2. But wait, no - actually, re - checking: the problem is about the weakest force. Magnetic force \(F\propto\frac{1}{r^{2}}\) (approximate for simple cases). Among the given pairs, Pair 4 has the largest distance (\(3.05\) cm) compared to Pair 1 (\(1.35\) cm) and Pair 3 (\(1.35\) cm). Pair 2 has the same distance as Pair 4, but when considering the size (if we assume that larger magnets have more 'dominant' fields, but the problem says same material. Wait, no - the formula \(F\propto\frac{m_1m_2}{r^{2}}\) (in a very simplistic analogy to gravitational force, where \(m\) represents'magnetic strength' related to size). But if we assume that the magnetic'mass' (a non - technical term here for analogy) for Pair 2 (larger magnets) is greater than Pair 4 (smaller magnets) at the same distance \(r = 3.05\) cm.

Answer:

Pair 4