Question

Find the pressure at the depth of 0.6m in water of density 1000kg/m cube. (take g=10m/s square)
plz say fast..​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Pressure=6000\:pascal}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Depth(h) = 0.6 \: m \\ \\ \tt: \implies Density = 1000 \: kg/m^{3} \\ \\ \red{\underline \bold{To \: Find:}} \\ \tt: \implies Pressure =?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies Density = \frac{Mass}{Volume} \\ \\ \tt: \implies 1000 \: kg/{m}^{3} = \frac{m}{l \times b \times h} \\ \\ \tt: \implies 1000 = \frac{m}{l \times b \times 0.6 } \\ \\ \tt: \implies \frac{m}{l \times b} = 600 \: kg/m^{2} - - - - - (1) \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Pressure = \frac{Force}{Area} \\ \\ \tt: \implies Pressure = \frac{Mass \times Acceleration}{Area} \\ \\ \tt \circ \: Here \: Acceleration \: is = Acceleration \: due \: to \: gravity \\ \\ \tt: \implies Pressure = \frac{m \times 10}{l \times b} \\ \\ \tt: \implies Pressure = \frac{m}{l \times b} \times 10 \\ \\ \tt: \implies Pressure = 600 \times 10 \times \frac{kg}{m^{2} } \times \frac{m}{s^{2}} \\ \\ \green{\tt: \implies Pressure = 6000 \:pascal}$

Answer 2

$\huge \tt \underline \orange {Answer}$

$\tt \red{Given: }$

$\sf\pink{Depth = 0.6m}$

$\sf \pink{ Density = 1000kg/ m^3}$

$\implies$ $\tt \orange{ Density = \dfrac{Mass}{Volume} }$

$\implies$ $\tt \orange{ 1000= \frac{m}{ l \times b \times h} }$

$\implies$ $\tt \orange{ 600 kg / m^2 }$

Now, calculation of Pressure on the formula of $\tt \red{Pressure = \frac{Force}{Area}}$

$\tt \purple{Breaking \: down \: into \: through \: dimensional \: formla:- }$

$\implies$ $\tt \purple {\frac{m \times 10}{1 \times b} }$

$\implies$ $\tt \purple{ 600 \times 10 \times Pascal}$

$\implies$ $\tt \purple {Pressure }$ $\tt \orange{= 6000 Pascal}$