Problem Statement of Series 6, Year 21

About the Competition Rules How to Write Solutions Results

Year 21

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1 2 3 4 5 6

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1 2 3 4 5 6

1 2 3 4 5 6

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Brochure with solutions (cs)

1... free fall of Fykos-bird

points

A Fykos-bird (the symbol of the seminar) is flying 1 km above the forest at speed 4 m ⁄ s. It is shooted by a men with a gun. The bullet leaves gun at speed 710 m ⁄ s. Our men saw the bird just above his head and fired. How far from him the body of bird will touch the ground? Air friction is negligible.

We will publish the solution to this problem soon.

2... cooking in pressure cooker

points

Assume a pressure cooker, which is filled with half of water and remaining half is filled with air. Then it is closed that no water vapor or air can escape. The cooker with water is slowly heated. At what temperature will water start to boil? What phases are present inside the pressure cooker during increasing temperature?

We will publish the solution to this problem soon.

3... cooling a soup

points

Assume copper hemispherical pot, with diameter of 40 cm. The pot is filled with a soup and is placed in water. It is floating 10cm under water level. Will the water start to fill the pot, if the border of pot is pulled up by a chain by 10 cm?

We will publish the solution to this problem soon.

4... quick retreat

points

Fykos-bird is running through a coridor, which is turning to left. The width of coridor is $b$, bird is running at speed $v_{0}$ and the turn is in distance $d$. If the acceleration will be bigger than $a_{0}$, it will slip and fall down. What is the optimum trajectory to have smallest possible delay?

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P... mission impossible

points

Make a plan how to liberate a Fykos-bid from custody. Do not forget to make plan B and C.

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E... magnetic lock

points

[on request you can get a piece of magnet] Measure the dependence of magnetic force between 2 magnets.

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Hint: place a piece of paper between magnets and measure the force needed to separate the magnets.

Instructions for Experimental Tasks
We will publish the solution to this problem soon.

S...

points

We will publish the solution to this problem soon.
If you are looking for the old website, you may find it at https://old.fykos.org