The height of the water in the glass is 10 cm. What pressure does the water exert on the bottom of the glass?

The height of the water in the glass is 10 cm. What pressure does the water exert on the bottom of the glass? What pressure would the mercury exert if poured to the same level?

Problem data: h (height of water (mercury) in a glass) = 10 cm (in SI h = 0.1 m).

Reference values: g (acceleration due to gravity) ≈ 10 m / s2; ρw (density of water in a glass) = 1000 kg / m3; ρp (density of mercury) = 13 600 kg / m3.

1) Let’s calculate the water pressure at the bottom of the used glass: P1 = ρw * g * h = 1000 * 10 * 0.1 = 1 * 10 ^ 3 Pa (1 kPa).

2) Determine the pressure of mercury: P2 = ρp * g * h = 13600 * 10 * 0.1 = 13.6 * 10 ^ 3 Pa (13.6 kPa).

Answer: Water has a pressure of 1 kPa, and mercury – 13.6 kPa.