kitchen counter. The same pressure is exerted on the table by each of the weights of the cans; however the cans are not identical and the densities of the contents are not identical. The radius of can 1 is r1 = 0.025 m and the radius of can 2 is r2 = 0.045 m. The density of can 1 is ρ1 = 820 kg/m3, the density of can 2 is ρ2 = 930 kg/m3, and the height of can 1 is h1= 0.11 m. Randomized Variables r1 = 0.025 m r2 = 0.045 m ρ1 = 820 kg/m3 ρ2 = 930 kg/m3 h1 = 0.11 m
There are two cans of food are sitting on a kitchen counter. The same pressure is exerted on the table by each of the weights of the cans; however the cans are not identical and the densities of the contents are not identical. The radius of can 1 is r1 = 0.025 m and the radius of can 2 is r2 = 0.045 m. The density of can 1 is ρ1 = 820 kg/m3, the density of can 2 is ρ2 = 930 kg/m3, and the height of can 1 is h1= 0.11 m.
Randomized Variables
r1 = 0.025 m
r2 = 0.045 m
ρ1 = 820 kg/m3
ρ2 = 930 kg/m3
h1 = 0.11 m
a. Write an expression for the pressure P1 exerted on the table by can 1 in terms of its density, height, and gravity.
b. Write an expression for the pressure P2 exerted on the table by can 2 in terms its density, height, and gravity.
c. Write an expression for h2 in terms of ρ1, ρ2, and h1.
d. Solve for h2 in meters.
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