The diagram shows a liquid of density 800 kg/m3 filling a container to a depth of 0.5 m. Using g = 10 N/kg, what is the pressure at the bottom due to the li...

Assessment: Physics (9-1) 0972 | Paper 1 Mock 01 | Multiple Choice (Core) Subject: Physics (9-1) - 0972

Question 1 Report

The diagram shows a liquid of density 800 kg/m3 filling a container to a depth of 0.5 m. Using g = 10 N/kg, what is the pressure at the bottom due to the liquid?

diagram

Answer Details

The pressure at a point in a liquid due to the liquid above it is given by:

\[ p = \rho g h \]

where \(\rho\) is the density of the liquid, \(g\) is the gravitational field strength, and \(h\) is the depth below the surface.

Substituting the given values:

\[ p = 800 \times 10 \times 0.5 = 4000 \text{ Pa} \]

A common error is to confuse which quantities to multiply. All three must be multiplied together. If you only multiply two of the three values, you get 400, 4000, or 1600 depending on which pair you choose. With all three, the answer is 4000 Pa.

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