Frog and Horse Trough Questions

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The discussion revolves around two physics problems involving buoyancy and fluid dynamics. The first question asks for the mass of a frog floating in a hemispherical pod in a fluid with a density of 1.25 g/cm³, emphasizing the need to equate buoyant force with gravitational force. The second question involves calculating the time required to fill a horse trough using a hose, prompting considerations of the trough's volume and the flow rate from the hose. Participants discuss the importance of understanding buoyancy and the need for assumptions in problem-solving. The conversation highlights the challenges of starting these calculations and the necessity of grasping fundamental concepts.
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I have two more questions for anyone can help...
1. A frog in a hemispherical pod finds that he just floats without sinking in a fluid of density 1.25 g/cm3. If the pod has a radius of 9.00 cm and negligible mass, what is the mass of the frog?
2. A cowboy at a dude ranch fills a horse trough that is 1.6 m long, 60 cm wide, and 40 cm deep. He uses a 1.9 cm diameter hose from which water emerges at 1.4 m/s. How long does it take him to fill the trough?

Just need some direction...no answer.
 
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For the first problem:HINT:The buoyancy force must be equal to the gravity force...

For the second:what is the colume of the trough?What is the flow through the hose...?

Daniel.
 
I still don't understand how you begin the problem...do you divided 9 cm by 1.25 g/cm^3?
 
imnotsmart said:
I still don't understand how you begin the problem...do you divided 9 cm by 1.25 g/cm^3?

Firstly, you must understand the definition of The buoyancy force. Do you know what that is and how to calculate it ?

marlon
 
Anyone help?
 
Yeah.U've been asked 2 questions above.Can u answer them?

Daniel.
 
Yeah, the pod partially submerged in the fluid experiences the bouyant force equal in magnitude to the weight of the fluid displaced by the pod.
To calculate it B=PfluidVg=wfluid ?
 
Last edited:
F_{B}=\rho_{fluid}V_{body}g...

And u need to know the volume of the immersed body.

Daniel.
 
how do you find the volume of the immersed body?
 
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I can only assume that all the hemisphere is immersed.The problem is not to explicit,so you have to make assumptions,in order to get a result.

Daniel.
 
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