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A container is filled with liquid, the depth of the liquid is 60 cm. If it is experiencing a pressure of 2000 Pa, calculate the density of the liquid.

A. 2.5 kg/m^3
B. 3.0 kg/m^3
C. 4.0 kg/m^3
D. 5.0 kg/m^3

User Keyr
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1 Answer

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Final answer:

The density of the liquid in the container, given a pressure of 2000 Pa and a liquid depth of 60 cm, is approximately 339.7 kg/m^3, which does not match any of the provided answer choices.

Step-by-step explanation:

To calculate the density of the liquid in the container, we use the pressure at a depth equation: P = hρg, where P is the pressure, h is the depth of the liquid, ρ is the density, and g is the acceleration due to gravity (approximately 9.81 m/s2).

We can rearrange the formula to solve for ρ (density): ρ = P / (hg).

Substituting the given values into the equation, we have:

ρ = 2000 Pa / (0.6 m * 9.81 m/s2)

ρ = 2000 / 5.886 = 339.7 kg/m3

None of the given choices A. 2.5 kg/m3, B. 3.0 kg/m3, C. 4.0 kg/m3, D. 5.0 kg/m3 match the calculated density. It is possible there may be a typo with the options or with the units in the question. The calculated density should be around 339.7 kg/m3.

User Ryan Alford
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