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Problem P. 4278. (October 2010)

P. 4278. A U-shaped communicating vessel, made of a bent glass tube, contains water. The part of the tube which is filled with water is 30 cm long. The difference between the levels of the water in the two parts of the tube is 1 cm when the communicating vessel is in a vehicle which accelerates uniformly.

What is the acceleration of the vehicle if the length of the part of the tube which is horizontal is 10 cm? What would have the difference between the lengths of the water columns been, if a V-shaped communicating vessel had been used in which the total length of the tube which is filled with water was also 30 cm?

(5 pont)

Deadline expired on November 10, 2010.


Sorry, the solution is available only in Hungarian. Google translation

Megoldás. A jármű gyorsulása \(\displaystyle a=\frac{1}{10}g\approx 1{,}0~\rm m/s^2.\)\ A V alakú csőben ugyanekkora gyorsulásnál 1,7 cm lenne a vízoszlopok hosszának különbsége.


Statistics:

99 students sent a solution.
5 points:51 students.
4 points:20 students.
3 points:13 students.
2 points:11 students.
1 point:1 student.
0 point:1 student.
Unfair, not evaluated:2 solutions.

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