FYKOS Year 36 Series 1 Problem 1 — useful butter · FYKOS 36 #36.1.1

Physics · mechanics

Problem

Jarda decided to bake a cake but he found out that the battery in his kitchen scale was dead, so he can't weigh

300\,\mathrm{g}

of flour. However, he had the idea that he could use a block of butter instead. The packaging said its weight is

m = 250\,\mathrm{g}

. Fortunately, he found a suitable spring and a stopwatch. He put a heap of flour in a very light bowl, attached it to the spring, perturbed it and measured the period of oscillations

T_1=2.8\,\mathrm{s}

. He repeated the same process with the cube of butter and measured

T_2 = 2.3\,\mathrm{s}

. How much flour does Jarda need to add or remove?

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