The pressure at the bottom of a lake, due to water, is 4.9 × 10^6 N/m^2. What is the depth of the lake ?

Q: The pressure at the bottom of a lake, due to water, is 4.9 × 106 N/m2. What is the depth of the lake ?

Sol: Pressure P = h ρ g = 4.9 × 106 N/m2

density of water = 1000 kg/m3; g = 9.8 m/s2

Hence h = P/ρg = (4.9 × 106)/(1000 × 9.8)

= 500m .