A glass 10 cm high is filled with mercury. Calculate the pressure of the mercury at the bottom of the glass.
1. Let’s translate given in the SI system:
h = 10 cm = 0.1 m
2. According to Pascal’s law:
The hydrostatic pressure inside the liquid at any depth does not depend on the shape of the vessel in which the liquid is located, and is equal to the product of the density of the liquid, the acceleration of gravity and the depth at which the pressure is determined:
P = ρ * g * h, where ρ is the density of the liquid, g is the free fall acceleration of a body raised above the Earth g = 9.8 m / s2, h is the depth of immersion in the liquid.
3. According to the reference book, we find the density of mercury:
ρ = 13600 kg / m³
4. Substitute the data into the formula and get:
P = ρ * g * h = 13600 * 9.8 * 0.1 = 13328 Pa
Answer: The pressure at the bottom of the glass is 13328 Pa.