Question

Помогите пожалуйста! Ширина ворот шлюза равна 13 м. Шлюз заполнен водой на глубину 6 м. Рассчитай, с какой силой вода давит на ворота шлюза. ( Принять g=10H/кг.) Ответ (округли до тысячных): вода давит на ворота шлюза с силой .... MH.

Answer 1

Calculation of the Force Exerted by Water on the Gates of the Lock

To calculate the force exerted by water on the gates of the lock, we can use the formula:

Force = Pressure x Area

1. Calculate the pressure exerted by the water: - The pressure exerted by a fluid is given by the formula: Pressure = density x gravity x height - The density of water is approximately 1000 kg/m³. - The acceleration due to gravity, g, is given as 10 m/s² in the question. - The height of the water is given as 6 m.

Plugging in the values, we get: Pressure = 1000 kg/m³ x 10 m/s² x 6 m = 60,000 N/m².

2. Calculate the area of the gates: - The width of the lock gates is given as 13 m.

The area of the gates is: Area = width x height = 13 m x 6 m = 78 m².

3. Calculate the force exerted by the water on the gates: - Using the formula Force = Pressure x Area, we can substitute the values: Force = 60,000 N/m² x 78 m² = 4,680,000 N.

Therefore, the force exerted by the water on the gates of the lock is approximately 4,680,000 N.