# A hole was formed in the underwater part of the vessel, the area of which was 5 cm2.

A hole was formed in the underwater part of the vessel, the area of which was 5 cm2. The hole is 3 m below the water level. What is the minimum force required to hold the patch covering the hole on the inside of the boat? The density of water is 1 * 10 ^ 3 kg / m3.

To calculate the value of the minimum force for holding the patch, we use the equality: ρw * g * h = P (pressure) = F / S, whence we express: F = S * ρw * g * h.

Data: S – area of the hole formed (S = 5 cm2 = 5 * 10 ^ -4 m2); ρw is the density of water (according to the condition ρw = 1 * 10 ^ 3 kg / m3); g – acceleration due to gravity (g ≈ 10 m / s2); h is the height of the water level relative to the formed hole (h = 3 m).

Calculation: F = S * ρw * g * h = 5 * 10 ^ -4 * 1 * 10 ^ 3 * 10 * 3 = 15 N.

Answer: A minimum force of 15 N is required.

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