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gas mechanics

1. Series 21. Year - 2. save the bubble!

Batyscaphe Trieste dived into deep sea and released a bubble which started to come to the surface. What is the vertical speed of the bubble? How will this speed change? How long it will take to reach surface? What size of bubbles will be fastest?

Úlohu vymyslel Jano Lalinský.

3. Series 19. Year - 4. rising current

A plane is flying horizontally at speed $v$ and suddenly enters into a rising current (jet) of speed $v′$. What will be acceleration of the plane just after entering the jet?

Assume the buoyancy coefficient $C$ (coefficient in Newton' equation for buoyancy) is linearly proportional to the angle between air flow and wing plane.

Navrhl Matouš Ringel, když mu úlohu odmítl prof. Volf.

2. Series 19. Year - E. fluffy cream

Measure pressure of gas in pressurised CO_{2} container used for home making of sparkling lemonade from still water. The container is filled with CO_{2} or is filled with N_{2}O for fluffy cream preparation.

Kájínek vyčetl na internetu.

3. Series 18. Year - E. density of air

Measure the density of air. Use any method but do not forget to provide relevant theory. The correct answer should contain also estimation of experimental error.

2. Series 18. Year - 3. helicopter

For helicopter to levitate it needs motor of power P. What is the power P' of the helicopter, which is scale copy of the previous one in scale 1:2? Assume the effectiveness of the rotor to be 100%.

Úloha byla převzata z MFO v Kanadě.

1. Series 18. Year - P. anti-rocket

figure

Assume a container on wheels with an orifice on the side. If the container is filled with compressed air, then the air escapes out and whole container moves. It is same principle as the rocket engines. Assume inverse situation – the container with vacuum inside in room full of air. How will the container move? The container can move without friction.

1. ročník 1.kolo.

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