A bucket is filled with a combination of water (density 1000 kg/m3) and oil (den
ID: 1472494 • Letter: A
Question
A bucket is filled with a combination of water (density 1000 kg/m3) and oil (density 700 kg/m3). These fluids do not mix (the oil will float on top of the water). If the layer of oil is 20.1 cm tall, what is the pressure at the interface between the oil and the water? t
his is what I tried and it's coming back as incorrect: density of oil = 700 kg/m^3 height of layer = 20.1 cm converted to m = .201m so P = pgh (700kg/m^3)(9.81m/s^2)(.201m) = 1378.86 Pa that answer came back as incorrect, any help is appreciated.
Explanation / Answer
Layer of oil = 0.201 m thick.
volume of oil = 0.201*A where A is the area of the bucket ( = pir^2 where r = radius of bucket)
weight of oil = 0.201*A*700*g newtons (g = acceleration due to gravity) = 1380.26A newtons (g = 9.81 m/s^2).
Pressure due to weight of oil = force/Area = weight/Area = 1380.26A/A = 1380.26 Pa
The question gives density to only 1 significant figure. 1380.26 Pa = 1400 Pa to 1 significant figure
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