IOM 2021, Блиц — Задача 41

The Blitz-contest of IOM-2021

Условие

We put three bodies to three different springs and started an oscillation with the same amplitude. Here is the kinetic energy of the bodies based on the distance from the point of equilibrium. Which statement concerning the elasticity of the strings is correct? (AA – red, BB – blue, CC – green).

Grid graph of E_kinetic against Distance from equilibrium: three downward parabolas with the same zeros at ±amplitude; red curve A is lowest, blue curve B peaks at twice its height, green curve C peaks at three times its height.
  • KA:KB:KC=1:4:9K_A : K_B : K_C = 1 : 4 : 9
  • KA:KB:KC=1:2:3K_A : K_B : K_C = 1 : 2 : 3
  • KA:KB:KC=1:2:3K_A : K_B : K_C = 1 : \sqrt{2} : \sqrt{3}
  • KA:KB:KC=3:2:1K_A : K_B : K_C = 3 : 2 : 1
  • KA:KB:KC=3:2:1K_A : K_B : K_C = \sqrt{3} : \sqrt{2} : 1

Отговори

Решение


Оригинал в Архива: iom-2021-blitz-tasks-eng.pdf · официални решения: iom-2021-blitz-answers-eng.pdf