Help with buoyancy question thanks

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An object denser than water rests on the bottom of a water-filled container, with a density four times that of water. The normal force exerted by the container's bottom must account for both the object's weight and the buoyant force acting on it. The normal force can be expressed as N = F + mg, where F is the buoyant force and mg is the weight of the object. The buoyant force can be calculated using the formula for upthrust, which is equal to the weight of the displaced water. Understanding these forces is essential to solve for the normal force acting on the object.
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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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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?
 
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