Another buoyancy problem. help

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In summary, buoyancy is the upward force exerted by a fluid on an object immersed in it and can be calculated using Archimedes' principle. Density is the measure of how much mass is contained in a given volume of a substance and affects whether an object will float or sink. The shape and size of an object also play a role in buoyancy, as well as other factors such as the density and depth of the fluid, and external forces acting on the object.
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Cranford803
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another buoyancy problem. help!

Homework Statement


The density of water is 1000 kg/m3. A block of wood of uniform density floats so that exactly 3/4 of its volume is underwater. What is the density of the block?


Homework Equations


b=mg
p=m/v


The Attempt at a Solution



not sure how to account for the 3/4 under water part.
 
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Buoyancy is defined as the weight of the water that the object displaces.

How much water is displaced?
 

1. What is buoyancy and how does it relate to this problem?

Buoyancy is the upward force exerted by a fluid on an object immersed in it. In this problem, we are dealing with a situation where the buoyant force is causing an object to float or sink in a fluid.

2. How do I calculate buoyancy?

Buoyancy can be calculated using Archimedes' principle, which states that the buoyant force is equal to the weight of the fluid displaced by the object. This can be expressed as Fb = ρ * V * g, 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.

3. Can you explain the concept of density and how it affects buoyancy?

Density is the measure of how much mass is contained in a given volume of a substance. In the context of buoyancy, objects with a higher density than the fluid will sink, while objects with a lower density will float. This is because the buoyant force is greater than the weight of the object in the case of floating, and less than the weight of the object in the case of sinking.

4. How does the shape and size of an object affect its buoyancy?

The shape and size of an object can affect its buoyancy due to the volume of fluid it displaces. A larger object will displace more fluid and therefore experience a greater buoyant force. The shape of the object can also impact the distribution of the buoyant force, with more irregularly shaped objects experiencing a more uneven distribution of force.

5. What other factors can affect buoyancy in this problem?

In addition to density, shape, and size, other factors that can affect buoyancy in this problem include the density of the fluid, the depth of the fluid, and any external forces acting on the object. These factors can impact the magnitude and direction of the buoyant force, and therefore affect whether the object will float or sink.

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