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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 points)

Deadline expired on 10 November 2010.


Google Translation (Sorry, the solution is published in Hungarian only.)

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 on problem P. 4278.
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.


  • Problems in Physics of KöMaL, October 2010

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