FLUIDS-how far from dam base does stram hit ground

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To determine how far from the base of a dam a stream hits the ground when a hole is located halfway down, Bernoulli's equation is essential for calculating the velocity of the fluid. After finding the velocity, the next step is to calculate the horizontal distance the fluid travels, denoted as distance x. The discussion emphasizes the importance of understanding the principles of fluid dynamics and projectile motion. Participants confirm the need to apply these concepts to solve the problem effectively. The conversation centers around the application of physics equations to achieve the solution.
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Homework Statement



a dam of height H has a hole half way down to the base. how far outward from the base does the stream hit the ground?


Homework Equations





The Attempt at a Solution


i think you have to use bernoulli's equation right?
first find velocity then distance x right?
 
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Assume that the fluid is just a ball. If someone throws a ball from an elevated location, what information must be known in order to determine how far he throws it?
 
Welcome to PF!

Hi ricky882! Welcome to PF! :wink:
ricky882 said:
i think you have to use bernoulli's equation right?
first find velocity then distance x right?

Right! :smile:

What do you get?​
 

Thread 'Magnitude of buoyant force in fluids of different densities'

The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?
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