In their natural form, vermicious knids are huge, dark, egg-shaped beings that c
ID: 1604021 • Letter: I
Question
In their natural form, vermicious knids are huge, dark, egg-shaped beings that can survive under large amounts of pressure. Their home planet is Vermes with a gravitational acceleration of 0.658 meters per second squared. The surface pressure on Vermes is 10 atmospheres, and the surface is covered in a liquid with a specific gravity of 0.5. In some places, the liquid is one mile deep. Determine the total pressure on a vermicious knid living on Vermes at the deepest point in units of kilopascals.
Explanation / Answer
Given g = 0.658 m/s^2
depth h = 1 mile = 1609.34 m
pressure on the surface P1 = 10 atm
P1 = 10 * 1.013 * 10^5 pa
P1 = 1.013 * 10^6 pa
specific gravity = (density of substance / density of water)
0.5 = rho / 1000
density of substance rho = 500 kg/m^2
let P2 be the pressure at the deepest point then
P2 - P1 = rho * g * h
P2 - (1.013 * 10^6) = 500 * 0.658 * 1609.34
P2 = 1.54 * 10^6 pa