1 out of 3 attempts A container has a large cylindrical lower part with a long t

Question

1 out of 3 attempts A container has a large cylindrical lower part with a long thin cylindrical neck. The lower part of the container holds 15.85 m of water and the surface area of the bottom of the container is 4.73 mi. The height of the lower part of the container is 3.35 m and the neck contains a column of water 9.48 m high. The total volume of the column of water in the neck is 0.200 m". What is the magnitude of the force exerted by the water on the bottom of the container? Remember that the value of atmospheric pressure is 1.103 x 105 Pa. Use scientific notation to enter the answer. 948 m 12.83 m 3.35 m FI F4 FS F6 2 3 8 4

Explanation / Answer

The pressure at the bottom of the container

P = Patm + gh

P = (gh) + P0

Where '' is the density of water =1000kg/m^3

g = 9.8m/s^2

h = 3.35 + 9.48 = 12.83 m

P0 = 1atm = 1.103*10^5 pa

Therefore The pressure at the bottom of the container

P = (1000*9.8*12.83)+(1.103*10^5)

    = 2.3603*10^5 pa

Force by water on bottom surface is F = PxA

Here , area A = 4.73 m^2

F = (2.3603 * 10^5)* 4.73

   = 1.116*10^6 N = 1.116 MN

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