Question
A submarine is designed to withstand an absolute pressure of 100 atm. How deep can it go below the water surface ? (Consider the density of water = 1000 kg m^ -3 , 1 atm = 1 10^ 5 Pa and gravitational acceleration g = 10 m/s^2)
A submarine is designed to withstand an absolute pressure of 100 atm. How deep can it go below the water surface ? (Consider the density of water = 1000 kg m^ -3 , 1 atm = 1 10^ 5 Pa and gravitational acceleration g = 10 m/s^2)
A. 990 m
The absolute pressure at a depth h below the water surface is given by P = P_0 + g h, where P_0 is the atmospheric pressure. Given: P = 100 atm = 100 10^5 Pa P_0 = 1 atm = 1 10^5 Pa = 1000 kg m^ -3 g = 10 m/s^2 Substituting the values into the equation: 100 10^5 = 1 10^5 + 1000 10 h 99 10^5 = 10^4 h h = 99 10^5 10^4 h = 990 m Answer: 990 m
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