text: # What is the magnitude of the force exerted by the water on the bottom of a bottle?
  
  1. Nov 30, 2009
  
  ### jayced
  
  1. The problem statement, all variables and given/known data
  A container has a large cylindrical lower part with a long thin cylindrical neck. The lower part of the container holds 12.5 m3 of water and the surface area of the bottom of the container is 4.68 m2. The height of the lower part of the container is h1 = 3.30 m and the neck contains a column of water h2 = 8.20 m high. The total volume of the column of water in the neck is 0.200 m3. What is the magnitude of the force exerted by the water on the bottom of the container?
  
  2. Relevant equations
  F = PA
  = (ρgh + P0)(4.68 m²)
  ρ = density of water=1000kg/m^3
  g = acceleration due to gravity = 9.8 m/sec²
  h = height of water column = 3.30m + 8.20m = 11.50 m
  P0 = air pressure at top of column = 1 atmosphere.
  
  3. The attempt at a solution
  F = PA
  = (ρgh + P0)(4.68 m²)
  = (1000kg/m^3)(9.8m/s^2)(11.50m) + 1 atm.)(4.65 m²)=527440.68N need to convert to MN
  
  Is my formula correct?
  Are my units for force correct that it comes out in Newtons?
  
  2. Nov 30, 2009
  
  ### ideasrule
  
  Re: What is the magnitude of the force exerted by the water on the bottom of a bottle
  
  It's correct, but the question asks for the pressure the water exerts. The pressure exerted by the air above is not usually taken into consideration.
  
  3. Nov 30, 2009
  
  ### ApexOfDE
  
  Re: What is the magnitude of the force exerted by the water on the bottom of a bottle
  
  I think the contribution of force exerting on bottom of container includes force by neck and force by lower part.
  
  F = F_neck + F_low
explanation: The document is a forum post discussing a physics problem related to the force exerted by water on the bottom of a container. The post includes a detailed problem statement, relevant equations, and an attempt at a solution. It also contains a question about the correctness of the formula and the units used. The post is followed by two responses from other users, one suggesting that the air pressure should not be considered and another suggesting that the force should be split into contributions from the neck and the lower part of the container.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # What is the magnitude of the force exerted by the water on the bottom of a bottle?
  
  1. Nov 30, 2009
  
  ### jayced
  
  1. The problem statement, all variables and given/known data
  A container has a large cylindrical lower part with a long thin cylindrical neck. The lower part of the container holds 12.5 m3 of water and the surface area of the bottom of the container is 4.68 m2. The height of the lower part of the container is h1 = 3.30 m and the neck contains a column of water h2 = 8.20 m high. The total volume of the column of water in the neck is 0.200 m3. What is the magnitude of the force exerted by the water on the bottom of the container?
  
  2. Relevant equations
  F = PA
  = (ρgh + P0)(4.68 m²)
  ρ = density of water=1000kg/m^3
  g = acceleration due to gravity = 9.8 m/sec²
  h = height of water column = 3.30m + 8.20m = 11.50 m
  P0 = air pressure at top of column = 1 atmosphere.
  
  3. The attempt at a solution
  F = PA
  = (ρgh + P0)(4.68 m²)
  = (1000kg/m^3)(9.8m/s^2)(11.50m) + 1 atm.)(4.65 m²)=527440.68N need to convert to MN
  
  Is my formula correct?
  Are my units for force correct that it comes out in Newtons?
  
  2. Nov 30, 2009
  
  ### ideasrule
  
  Re: What is the magnitude of the force exerted by the water on the bottom of a bottle
  
  It's correct, but the question asks for the pressure the water exerts. The pressure exerted by the air above is not usually taken into consideration.
  
  3. Nov 30, 2009
  
  ### ApexOfDE
  
  Re: What is the magnitude of the force exerted by the water on the bottom of a bottle
  
  I think the contribution of force exerting on bottom of container includes force by neck and force by lower part.
  
  F = F_neck + F_low
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is a forum post discussing a physics problem related to the force exerted by water on the bottom of a container. The post includes a detailed problem statement, relevant equations, and an attempt at a solution. It also contains a question about the correctness of the formula and the units used. The post is followed by two responses from other users, one suggesting that the air pressure should not be considered and another suggesting that the force should be split into contributions from the neck and the lower part of the container.
  
  Label: question-and-answer