Help with buoyancy question thanks

In summary, the conversation is about finding the supporting force exerted by the container bottom on an object with a volume and density in a container of water. The formula for normal force is mentioned and the attempt at solving the problem is shown. The conversation ends with a question on how to calculate the buoyancy force and the reminder that both forces combined must equal the weight of the object.
  • #1
jlin94
4
0
help with buoyancy question thanks!

An object denser than water rests on the bot-
tom of a container full of water. The object
has volume V and a density p = 4 pw, where
pw is the density of water.

What supporting force N does the con-
tainer bottom exert on the object, in terms of
pw, g and V ?


Homework Equations


Normal force= force pressure + weight


The Attempt at a Solution


N = F + mg
N = PxA + pVg
N= ...+ 4 pwVg

i don't know how to finish this?
could some explain what to do now to solve for Force normal

thanks!
 
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  • #2


If the object is on the bottom of the container then there is definately an upwards force on the object by the bottom of the container. There is also another force due to buoyancy... do you know how to calculate this 'upthrust'?
Both forces together must equal the weight of the object.
Can you take it from there?
 

FAQ: Help with buoyancy question thanks

What is buoyancy and how does it work?

Buoyancy is the upward force that a fluid exerts on an object when it is partially or fully immersed in the fluid. This force is equal to the weight of the fluid that the object displaces. This is known as Archimedes' principle.

How is buoyancy related to an object's density?

Buoyancy is directly related to an object's density. An object that is less dense than the fluid it is immersed in will experience a greater upward force, and therefore have greater buoyancy. On the other hand, an object that is more dense than the fluid will experience a smaller upward force and have less buoyancy.

Can the shape of an object affect its buoyancy?

Yes, the shape of an object can affect its buoyancy. Objects that are more streamlined and have a larger surface area will experience more buoyancy than objects with a smaller surface area. This is because the larger surface area allows for more fluid to be displaced, resulting in a greater upward force.

What is the difference between positive and negative buoyancy?

Positive buoyancy occurs when an object is less dense than the fluid it is immersed in and experiences an upward force, causing it to float. Negative buoyancy occurs when an object is more dense than the fluid and experiences a downward force, causing it to sink.

How can I calculate the buoyant force on an object?

To calculate the buoyant force on an object, you can use the formula Fb = ρVg, where Fb is the buoyant force, ρ is the density of the fluid, V is the volume of the displaced fluid, and g is the acceleration due to gravity. Alternatively, you can also use the formula Fb = ρVg, where ρ is the density of the fluid, V is the volume of the displaced fluid, and g is the acceleration due to gravity.

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