Problemas em aberto do 7th BPT

A sétima edição do Torneio Brasileiro de Física (BPT) se aproxima e temos uma novidade: a lista de problemas da seletiva nacional já está disponível.

Como funciona?

Essa semana o comitê do Torneio Internacional de Física (IPT) liberou uma lista de 17 problemas em aberto que foram selecionados para o IPT 2025 (https://iptnet.info/problems/). Dentre esses 17 problemas, 12 foram escolhidos para compor a sétima edição do torneio brasileiro; confira a lista abaixo.

Lembrando que esse ano o torneio acontecerá na UFMG em Belo Horizonte, nos dias 9 a 12 de dezembro.

Live para tirar dúvidas

Em breve realizaremos uma live para tirar dúvidas, comentar sobre as regras e dar dicas. Fique ligado em nossas redes sociais e não perca!

A lista:

1) Rip Fast

Is it possible to tell how fast a sheet of paper has been torn into two pieces by examining its torn edges? Investigate how the edge patterns depend on the tearing dynamics and the kind of paper that is used. What types of paper give the largest and smallest estimation uncertainty in the tearing speed?

2) Bouncing Honey

When honey is dripping from a spoon, the trickle can stop flowing, oscillate up and down before flowing again. Explain the phenomenon. Investigate how the oscillations depend on the relevant parameters.

3) Oscillating Rings

Take two ferromagnetic rings of different radii and tie them by a string. Connect another string to the larger ring at the same point. Now holding the whole construction by the second string, you can suspend it in the air by a magnet placed above (see link below). Being held only by these vertical strings, the rings are free to rotate around the vertical axis. Investigate their rotational motion based on the parameters of the system (magnetic permeability of the rings, moments of inertia, positions, thickness, etc). What happens if you replace the central ring with a disk?

https://drive.google.com/file/d/1hyvaKpPFhtNlJ_Grksj_DE4sJMujqyFy/view

4) Traveling Flame

Under certain circumstances a flame can travel along an open canal (see link below). Explain the phenomenon. Investigate its lifetime and speed. Under which circumstances does it display a periodic behavior? Maximize the lifetime of a traveling flame for a given amount of fuel.

5) Flying Coin

One can make a coin fly from a table into a plate placed on it by blowing on it from a certain angle. Investigate the movement of the coin and how it depends on the relevant parameters. What is the maximum height of the plate’s edge such that the coin still lands on/in it? Can you predict the face on which the coin lands based on the relevant parameters?

6) An Optimal Candle

Maximize the luminosity of a candle by varying its size and shape for a chosen wick. What shape should it have to ensure that, when the wick has fully burnt out, all the wax has also completely vaporized away?

8) Kelvin Dropper

A reservoir containing a conducting liquid is connected to two hoses that release two falling streams of drops, which land in two containers. Each stream passes through a metal ring or open cylinder which is electrically connected to the opposite receiving container. After a while, a spark may be observed between two conducting rods connected to the setup. Use this setup as an electrical generator. Investigate and optimize its power efficiency.

https://arxiv.org/pdf/1707.06861

10) Rotating Ring

When a magnetic ring is left at the top of a ferromagnetic rod, several types of motion can be observed. Under which conditions does each type of motion appear? Which types of motion lead to the longest fall time for a given ring radius?

11) Soft Rescuer

Under certain circumstances, soap bubbles don’t break when they fall on a soft carpet. Investigate this phenomenon. What is the maximal landing speed that a bubble can survive for a given carpet?

13) Paper Blade

Investigate the conditions for a paper sheet to cut through different materials. What is the strongest material the paper blade can cut through?

16) PET Bottle Rocket

Build your own rocket using a single PET bottle and add any modifications you like. The working principle of the rocket should be via expulsion, without any combustion or chemical reactions. Investigate what are the limits of the height and the speed of such rockets.

https://www.grc.nasa.gov/www/k-12/rocket/BottleRocket/about.htm

17) The Slinky

When one places a slinky at the top of a staircase, it can be pushed to travel in its peculiar motion down the stairs. Investigate how the average slope influences the motion of the slinky. What is the minimal average slope such that the slinky successfully reaches its steady periodic motion? What happens if you replace the stairs with an inclined plane?

Problemas em aberto do 7th BPT