A 50-kg object was dropped from a height of 2 meters from water level

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SUMMARY

The discussion focuses on calculating the maximum speed of water exiting a tank when a 50-kg object is dropped from a height of 2 meters above the water level. The tank has a hole located 3 meters below the water surface, with an area of 1.5 square meters and a hole diameter of 2 square millimeters. The mini impact time is specified as 0.02 seconds, indicating the need to derive the appropriate physics equations to determine the water's exit velocity.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with kinematic equations
  • Knowledge of Bernoulli's equation
  • Basic concepts of impact force and time
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  • Research the application of Bernoulli's equation in fluid flow
  • Study kinematic equations for free-fall motion
  • Learn about the relationship between impact force and exit velocity
  • Explore the effects of hole diameter on fluid exit speed
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Physics students, engineers, and anyone interested in fluid dynamics and impact analysis will benefit from this discussion.

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Homework Statement


A 50-kg object was dropped from a height of 2 meters from water level of tank. The open water-tank has a hole 3 meters below water's surface. area of water tank is 1.5 sq m and diameter of hole is 2 sq mm. What is the max speed of water exiting the tank if the mini impact time is .02 seconds?


Homework Equations



What is the equation?

The Attempt at a Solution


What is the equation?
 
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This is not one of those cases where there is a standard equation - you have to derive it from the physics.

What kinds of physics do you think should apply here?

Note: I don't know what the falling mass is supposed to do.
Does it hit the surface of the water?
If so, does it float or sink?
If not: did it start below water-level, or is it next to the tank?
 

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