Question

Решите задачу : Манометр , установленный на батискафе ,показывает , что давление воды составляет 9,8 мега паскалей . Определите глубину погружения батискафа

Answer 1

P=9.8*10^6 Па     po=10^3 кг/м3     h=?
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p=po*g*h
h=p/(po*g)=9.8*10^6/(10^3*9.8)=1000 м   (1 км)
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Answer 2

Calculating the Depth of Submersion

To calculate the depth of submersion of the bathyscaphe, we can use the formula for pressure in a fluid:

Pressure = Density × Acceleration due to gravity × Depth

Given: - Pressure = 9.8 megapascals - Acceleration due to gravity = 9.8 m/s^2 (approximately)

We can use these values to solve for the depth.

Calculation

Using the formula: Pressure = Density × Acceleration due to gravity × Depth

We can rearrange the formula to solve for depth: Depth = Pressure / (Density × Acceleration due to gravity)

Given that the density of seawater is approximately 1025 kg/m^3, we can use this value in the calculation.

Solution

Substituting the given values: Depth = 9.8 × 10^6 pascals / (1025 kg/m^3 × 9.8 m/s^2)

Calculating the depth: Depth ≈ 1000 meters

Therefore, the depth of submersion of the bathyscaphe is approximately 1000 meters.