EuPhO 2024 — Задача 5. Task E.5 - Interaction time

"EuPhO 2024, Kutaisi, Georgia — Experimental Problems" · 2,5 т.

Условие

With the result from the previous task, it would be possible to determine the interaction time $\tau$ of the more elastic ball with the wooden surface. However, for the less elastic ball, there is no simple description such as Eq. 1. Alternatively, we can make the following assumption.

If, for a certain collision speed $v_0$, the force experienced by the ball as a function of time can be described as $F_0(t) = f(t)$, then for any other speed $v_1$, the time dependence takes a similar shape and we can express the force as:

$F_1(t) = a_1 f(b_1 t)\,.$

Estimate and plot how the interaction time $\tau$ scales with the collision speed $v$ for collisions of the less elastic rubber ball with a solid surface.

Решение

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