The swamp can withstand a pressure of 18 kPa. Will a person walk through

The swamp can withstand a pressure of 18 kPa. Will a person walk through the swamp if his weight is 78 kg and the area of each shoe is 200 cm2?

A person weighing m = 78 kg is affected by the force of gravity from the Earth, determined by the formula F = m ∙ g, where the proportionality coefficient for our planet is g = 9.8 N / kg. With the same force this person will press on the surface of the swamp. To determine whether a person will pass through the swamp, it is necessary to calculate the pressure exerted by one leg of this person on the swamp. It is known that the area of ​​each of his boots is S = 200 cm ^ 2 = 0.02 m ^ 2, the pressure of solids on a horizontal surface is found by the formula p = F: S or p = (m ∙ g): S, substitute the values ​​of physical quantities and make calculations: p = (78 kg ∙ 9.8 N / kg): 0.02 m ^ 2 = 38220 N / m ^ 2 = 38220 Pa. According to the condition of the problem, the swamp can withstand the pressure p = 18 kPa = 18000 Pa. This means that this person will not be able to pass through this swamp.