A well 1km deep is filled with a liquid of density 950kg/m\(^3\) and g = 10m/s\(^2\), the pressure at the bottom of the well is
A
9.6 × 10\(^6\)N/m\(^2\)
B
9.5 x 10\(^5\)N/m\(^2\)
C
9.4 x 10\(^6\)N/m\(^2\)
D
9.5 x 10\(^6\)N/m\(^2\)
Verified Correct Answer: A.
Physical Principles & Numerical Solution
P = Pa + ρgh = (1.00 \times 10\(^5\)) + (950 \times 10 \times 1000)
P = 10\(^5\) + (95 \times 10\(^5\)) = 10\(^5\)(1 + 95) = 96 \times 10\(^5\)
P = 9.6 \times 10\(^6\) N/m\(^2\)
Source: Myschool Past Questions Archive (Record #55772)