Question

(8%) Problem 3: In order to build his sandcastle on the beach, Rory fills his bucket with seawater to a depth of d=015 m. The density of seawater is p=1.03*109 kg/m 25% Part (a) Enter an expression for the gauge pressure the seawater exerts on the bottom of the pail (i.e., the pressure due solely to the weight of the water), in terms of the defined quantities and the acceleration due to gravity, g. P= Grade Summary 090 Deductions Potential 1009 P ( Y e h IT d 7 4 1 8 9 56 2 3 0 Submissions Attempts remaining per attempt detailed via P 8 k P n S I NO IN Submit Hist I give up! Hinta: deduction per hit. Hints remaining Feedback: 10 deduction per feedback 25% Part (b) Calculate the gauge pressure, in pascals, that the seawater exerts on the bottom of the pail. 25% Part (c) The bucket is round and has a radius of 0.2 m Enter an expression for the force that the seawater exerts on the bottom of the bucket, in terms of the defined quantities and the acceleration due to gravity: 2 المهدی قم ماء داها، مداوم و گا

Answer 1

(a) Gauge pressure (pressure solely due to the weight of the water), P = ρ g d

(b) P = 1030 kg/m3 x 9.8 m/s2 x 0.15 m = 1514.1 Pascals

(c) F = PxA = ρ g d (π r²) = π r² ρ g d