What force is required to completely immerse a 2 g test tube in water?

| March 13, 2021 | education

What force is required to completely immerse a 2 g test tube in water? The density of the test tube is 0.2 g / cm3 in a cube.

To find out the force required for the complete immersion of the taken plug in water, we project the acting forces onto the vertical axis: Fx = FA – Fт = ρпв * g * Vпр – mпр * g = ρпв * g * mпр / ρпр – mпр * g = (ρпв / ρpr – 1) * g * mpr.

Const: ρpw – fresh water density (ρpw = 1000 kg / m3); ρpr – plug density (according to the condition ρpr = 0.2 g / cm3 = 200 kg / m3); g – acceleration due to gravity (g ≈ 9.8 m / s2).

Data: mpr – the mass of the taken cork (mpr = 2 g; in SI-mixture SI mpr = 2 * 10-3 kg).

Let’s perform the calculation: Fx = (ρpv / ρpr – 1) * g * mpr = (1000/200 – 1) * 9.8 * 2 * 10-3 = 78.4 * 10-3 N.

Answer: For complete immersion of the taken plug, a force of 78.4 mN is required.



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