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Imagine weighing the same bunch of bananas with two different spring scales like the one in Figure 5.14A. Scale 1 has a spring with spring constant k1. When the bananas are hung from scale 1, the spring stretches Δy1, from its relaxed position. Therefore, the apparent weight of the bananas is
wapp = k1 Δy1
Scale 2 has a stiffer spring; its spring constant is k2 = 3k1. If the same bunch of bananas is hung from scale 2, what is the displacement of its spring Δy2 in terms of Δy1?
FIGURE 5.14 Spring scales are used to measure the apparent weight of an object. A. An object may hang from the spring. B. A pan scale employs a main spring (cutaway) connected to a system of levers (not shown).
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