EuPhO 2024 — Задача 1. Task E.1 — Elasticity of the ball

Автор: Olympiads XYZ · транскрипция на официалните материали

Проверена срещу оригинала на 13.9.2026 от същия модел, който я е транскрибирал (без независима проверка)

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УсловиеРешение

"EuPhO 2024, Kutaisi, Georgia — Experimental Problems" · 2 т.

Внимание: Бележка към темата

Solutions-only window; statements to be assembled from the problems-document window. E.4 solution is incomplete (continues beyond page 6).

Условие

Of the two rubber balls you are provided with, one is more elastic than the other.

For the more elastic rubber ball, determine the fraction of kinetic energy which is lost during a collision with a solid surface. Determine this fraction for three different values of the initial kinetic energy.

Photograph of all equipment laid out: wooden stand with a blue ball (J), ruler (K), clothes peg (N), multimeter (B), stop watch (H), battery (C), switches (E), capacitor with diode (D), crocodile clamps (F), digital scales (G), rubber balls (I), wooden sticks (L), metal screw (M), pencil and sharpener (O), and the piezo element (A) with wires.
Figure 1: Overview of all the materials used in this experiment.
Nine circuit symbols in a row, lettered A to I: resistor, ammeter, voltmeter, ohmmeter, switch, battery (marked with a red star), capacitor, diode, piezo element (marked with a red star).
Figure 2: The most common circuit symbols: A - resistor, B - ammeter, C - voltmeter, D - ohmmeter, E - switch, F - battery, G - capacitor, H - diode, I - piezo element. Wires marked with a red star have a red coating.
Two photographs of the wooden release mechanism with a blue ball: left — the two wingnuts on the back of the stand are marked with red arrows; right — the vertical nut for horizontal adjustment is marked with red arrows.
Figure 4: The two wingnuts on the back can easily be loosened to allow the release mechanism to slide vertically. Also, the vertical nut can be used to enable horizontal adjustment.
Graph of bouncing height h_b in mm versus dropping height h in mm with four experimental points (error bars) and a straight linear fit labelled 'fitted, γ = 0.81 ± 0.01'; legend also shows 'experimental values'. Axes run from about 160 to 290 mm (h_b) and 240 to 370 mm (h).
Figure 1
Circuit diagram: a voltmeter V on the left, a capacitor C in the middle, a battery with voltage U_0 on the right, and two switches — one in the top wire and one in the bottom wire.
Figure 2

Решение

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Оригинал в Архива: eupho2024_experiment_problems.pdf · официални решения: eupho2024_experiment_solutions.pdf