Buoyancy problem answer check. Thanks

In summary, buoyancy refers to the upward force exerted by a fluid on an object immersed in it. It is important in problem solving as it affects the stability and movement of objects in fluids. To calculate buoyant force, you need to know the density of the fluid, the volume of the displaced fluid, and the acceleration due to gravity. Archimedes' principle states that the buoyant force on an object is equal to the weight of the displaced fluid, and is crucial in buoyancy problems. Common mistakes to avoid include not considering the weight of the object, using incorrect values, and not paying attention to units. Buoyancy can be negative, meaning the buoyant force is acting downwards, when an object is more dense than
  • #1
Cranford803
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0

Homework Statement



A 2.5 kg block of wood is floating in water. What is the magnitude of the buoyant force acting on the block?

Homework Equations





The Attempt at a Solution



m=2.5kg
b=mg=2.5*9.81
b= 24.5N

Is this right? Thanks in advance for the help!
 
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  • #2
Seems OK to me. That is, assuming I understood the question.
 

1. What is buoyancy and how is it related to problem solving?

Buoyancy refers to the upward force exerted by a fluid on an object immersed in it. In problem solving, buoyancy is important because it affects the stability and movement of objects in fluids, and must be taken into account when designing structures such as ships and submarines.

2. How do you calculate buoyant force in a buoyancy problem?

To calculate buoyant force, you need to know the density of the fluid, the volume of the displaced fluid, and the acceleration due to gravity. The formula for buoyant force is: Buoyant Force (Fb) = Density of Fluid (ρ) * Volume of Displaced Fluid (V) * Acceleration due to Gravity (g).

3. What is Archimedes' principle and how does it apply to buoyancy problems?

Archimedes' principle states that the buoyant force on an object submerged in a fluid is equal to the weight of the fluid that the object displaces. This principle is important in buoyancy problems because it allows us to calculate the buoyant force on an object by knowing the properties of the fluid and the volume of the displaced fluid.

4. What are some common mistakes to avoid when solving buoyancy problems?

One common mistake is not taking into account the weight of the object itself when calculating the buoyant force. Another mistake is using the wrong value for the density of the fluid or the volume of the displaced fluid. It is also important to pay attention to units and ensure they are consistent throughout the calculations.

5. Can buoyancy be negative in a problem and what does that mean?

Yes, buoyancy can be negative in a problem. This means that the buoyant force is acting downwards, rather than upwards, on the object. Negative buoyancy can occur when an object is more dense than the fluid it is immersed in, causing it to sink instead of float.

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