Question

The height of jar is 15 cm . It contains a liquid of mass 5 kg and density 900 kg m ³ . The pressure exerted by the liquid on the base of the jar is

Answer 1

Pressure exerted by the liquid on the base of the jar, P = 1338.79 Pa

Explanation:

Given that,

Height of the jar, h = 15 cm = 0.15 m

Mass, m = 5 kg

Density of the liquid, $d=900\ kg/m^3$

The density of any material is given by :

$d=\dfrac{m}{V}$

$V=\dfrac{m}{d}$  

$V=\dfrac{5\ kg}{900\ kg/m^3}$  

V = 0.0055

If A is the area of jar,

$V=A\times h=0.0055$

$A=0.0366\ m^2$

Let P is the pressure exerted by the liquid on the base of the jar. It is given by :

$P=\dfrac{F}{A}$

$P=\dfrac{mg}{A}$

$P=\dfrac{5\times 9.8}{0.0366}$

P = 1338.79 Pa

So, the pressure exerted by the liquid on the base of the jar is 1338.79 Pa. Hence, this is the required solution.

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Topic : Pressure

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