Question

If the density of a liquid is 20gcm - 3 height is 4cm and gravitational field strength is 10 N kg, the pressure of the liquid is ​

Answer 1

Pressure is 1.96 × 10^12 Pa

Step-by-step explanation:

`{ \bf{pressure = (force)/(area) }}`

height = 4 cm = 0.04 m

density = 20 g/cm³ = 20,000 kg/m³

But for force:

`{ \sf{force = mass * acceleration}} \\ { \sf{force = ( (density)/(volume) ) * acceleration}} \\ \\ { \sf{force = ( \frac{20000 }{0.04 {}^(3) }) * 10 }} \\ \\ { \sf{force = 3.13 * {10}^(9) \: newtons}}`

For area:

`{ \sf{area = 0.04 * 0.04 = 0.0016 \: m {}^(2) }}`

`{ \tt{pressure = \frac{3.13 * {10}^(9) }{0.0016} }} \\ \\ = { \tt{1.96 * {10}^(12) \: pascals}}`