Mercury is poured in a U-shaped communicating vessel (ρрт = 13.6 g / cm3). A 68 cm high water column was added

Mercury is poured in a U-shaped communicating vessel (ρрт = 13.6 g / cm3). A 68 cm high water column was added to the left knee (ρw = 1 g / cm3). In the right knee, a column of mercury rises by …

h1 = 68 centimeters = 0.68 meters – the level of the water column, which was poured into the U-shaped tube in the left knee;

g = 10 Newton / kilogram – acceleration of gravity;

ro1 = 1 g / cm3 = 1000 kilograms / cubic meter – water density;

ro2 = 13.6 g / cm3 = 13600 kilograms / cubic meter – the density of mercury.

It is required to determine h2 (meter) – how much the level of mercury has risen relative to its initial level in the right tube.

According to the law of communicating vessels, the pressure created by the water column with the level h1 on the left side of the tube will be equal to the pressure created by the level of mercury h2 on the right side of the tube:

P1 = P2;

ro1 * g * h1 = ro2 * g * h2;

ro1 * h1 = ro2 * h2;

h2 = ro1 * h1 / (ro2) = 1000 * 0.68 / 13600 = 680/13600 = 68/1360 = 0.05 meters.

Answer: The mercury level has risen by 0.05 meters (5 centimeters).