AP Physics Free-Response Practice Question

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SUMMARY

The discussion focuses on solving a physics problem involving fluid dynamics using Bernoulli's equation. Key calculations include determining the speed of water exiting a hole in a cylindrical tank, the volume flow rate, the total volume collected in a tray over two minutes, and the time for a droplet to fall a specific distance. Participants emphasize the importance of clearly showing calculations and understanding the given parameters, such as the height of water and the radius of the hole.

PREREQUISITES
  • Understanding of Bernoulli's equation
  • Knowledge of fluid dynamics principles
  • Familiarity with basic calculus for volume and rate calculations
  • Ability to perform unit conversions and dimensional analysis
NEXT STEPS
  • Study the application of Bernoulli's equation in various fluid flow scenarios
  • Learn how to calculate flow rates using the continuity equation
  • Explore the concept of hydrostatic pressure and its effects on fluid flow
  • Investigate the effects of hole diameter on flow speed and volume rate
USEFUL FOR

Students studying AP Physics, educators teaching fluid dynamics, and anyone preparing for physics exams involving fluid mechanics problems.

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A cylindrical tank containing water of density 1000 kg/m^3 is filled to a height of 0.70 m and placed on a stand. A hole of radius 0.0010 m in the bottom of the tank is opened. Water then flows through the hole and through an opening in the stand and is collected in a tray 0.30 m below the hole. At the same time, water is added to the tank at an appropriate rate so that the water level in the tank remains constant.

(a) Calculate the speed at which the water flows out from the hole

(b) Calculate the volume rate at which water flows out from the hole

(c) Calculate the volume of water collected in the tray in t = 2 minutes

(d) Calculate the time it takes for a given droplet of water to fall 0.25 m from the hole

Well...I started with Bernoulli's equation and calculated the height to find out how far it sinks? And then I calculated the displacement? I don't know...
 
Last edited:
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Do not crosspost. And please read the forum guidelines.

Which part are you referring to? What height did you calculate? You are already given the height. Please show your calculations explicitly for each part. It's very hard for us to decipher what you've done.
 

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