Not mathematicians about mathematics

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spring with stiffness $c$. The plane is smooth. The balls are moved, compressing the spring, then they are simultaneously released. Determine the periods of the resulting oscillations of the balls.

F3. Two springs were made from two identical pieces of steel wire. The diameter of the turns of one of them is $d$, the other $2d$. The first spring, under the action of the load, stretched by one tenth of its length. How much of its length will the object stretch under the same load?

G. I. Kosurov

F4. The cylinder contains purified gas, but it is not known what kind. To raise the temperature of 1 kW of gas by one degree at constant pressure, 958.4 JS is required, and at constant volume - 704.6 JS. What kind of gas is this?

III Weighty Physical Olympiad

F5. There is an electrical target, shown at figure 4. What will a voltmeter with a very high internal resistance show if it is connected to points $C$ and $D$?

F6. Find the value of a grounded metal ball of radius $r$ if there is an exact charge $q$ at a distance $R$ from its center.

II Weighty Physical Olympiad

54

NOT MATHEMATICS
ABOUT MATHEMATICS

Archimedes had more imagination in his head than Homer.

(Voltaire)

Prosperity and accomplishment of mathematics technology with the welfare of the state.

(Napoleon)

What science could be more noble, more delightful, more useful to man than mathematics?

(Franklin)

Mathematicians are like the French: whatever you say, they will translate it into their own language. Something opposite will happen.

(Goethe)

Is it possible such a convex polyhedron, the position of which, when supported by any of the boundaries, would be unstable?

Your car is traveling at a speed of 60 kilometers per hour. How much should you increase your speed to gain one minute for each kilometer?