There is a glass plate on the table. How many times will the pressure of this plate increase on the table if a steel plate

There is a glass plate on the table. How many times will the pressure of this plate increase on the table if a steel plate of the same dimensions is placed on top of it? The density of glass is 2500 kg / m3, and the density of steel is 7800 kg / m3.

To find the increase in pressure on the table of the indicated glass plate, we use the ratio: k = Рк / Рн = (M * g / S) / (m1 * g / S) = M / m1 = (m1 + m2) / m1 = (ρ1 * V + ρ2 * V) / (ρ1 * V) = (ρ1 + ρ2) / ρ1.

Constants: ρ1 – glass density (according to the condition ρ1 = 2500 kg / m3); ρ2 – density of steel (according to the condition ρ2 = 7800 kg / m3).

Calculation: k = (ρ1 + ρ2) / ρ1 = (2500 + 7800) / 2500 = 4.12 p.

Answer: The pressure of the indicated glass plate will increase by 4.12 times.