Find height of ball under water beam

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SUMMARY

The discussion centers on calculating the height of a 250 g ball supported by a vertical water beam from a 12 mm diameter nozzle with a velocity of 10 m/s. The problem assumes no energy loss in the jet stream and requires the application of fluid dynamics principles. Participants express confusion regarding the relationship between the sum of forces and potential energy, indicating a need for clarity in applying these concepts to solve the problem accurately.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Knowledge of Bernoulli's equation
  • Familiarity with force and energy concepts in physics
  • Basic dimensional analysis techniques
NEXT STEPS
  • Study Bernoulli's equation and its applications in fluid mechanics
  • Learn about the relationship between force, mass, and acceleration
  • Explore potential energy calculations in fluid systems
  • Review dimensional analysis and its importance in problem-solving
USEFUL FOR

Students in physics or engineering courses, educators teaching fluid dynamics, and anyone interested in solving practical problems involving fluid flow and forces.

Huumah
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Homework Statement


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The 250 g ball is supported by the vertical beam of fresh water which issues from the 12 mm diameter nozzle with a velocity of 10 m/s. Calculate the height h of the ball above the nozzle. Assume the stream remains intact and there is no energy lost in the jet stream


2. The attempt at a solution

STX31.jpg


I don't have answers to the problem, I'm just wondering if I did it right?
 
Physics news on Phys.org
How do you have the sum of the forces equal to the potential energy? Basic dimensional analysis would show that your answer is wrong.
 

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