Buoyant Force of a block in water

In summary: N. Then, a small block of unknown material is held completely submerged in the water. The force of the person holding the block must be greater than 100 N in order to keep the system balanced. This is determined by drawing free body diagrams and considering different cases, all of which lead to the conclusion that the force of the person must be greater than 100 N.
  • #1
personage
4
0
A flask of water rests on a scale that reads100 N. Then, a small block of unknown material is held completely submerged in the water. The block does not touch any part of the flask, and the person holding the block will not tell you whether the block is being pulled up (keeping it from falling further) or pushed down (keeping it from bobbing back up).

What is the measurement on the scale now?

a) Greater than 100 N
b) Less than 100 N
c) Equal to 100 N
d) We cannot tell without more information

The correct answer is a. Though I don't know how they reached this conclusion
Could someone please help me with this? :)
 
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  • #2
What is the force the person has to apply for different cases (like no mass, something with the same density of water, something heavier)? The force of the scale plus the force by the person together have to keep the whole system balanced, so knowing one allows to find the other one.
You'll see that all those cases lead to answer (a).
 
  • #3
To expand on what mfb said, draw a free body diagram for each of the three cases that mfb has identified. The importance of drawing free body diagrams cannot be overemphasized.

Chet
 

FAQ: Buoyant Force of a block in water

What is the definition of buoyant force?

The buoyant force is the upward force exerted on an object immersed in a fluid, such as water, due to the difference in pressure between the top and bottom of the object.

How is the buoyant force calculated?

The buoyant force is equal to the weight of the fluid that the object displaces. This can be calculated by multiplying the density of the fluid by the volume of the displaced fluid.

How does the density of the object and the fluid affect the buoyant force?

The buoyant force is directly proportional to the density of the fluid and the volume of the displaced fluid. It is also affected by the density of the object, as a denser object will displace more fluid and experience a greater buoyant force.

What is the relationship between the buoyant force and the weight of the object?

According to Archimedes' principle, the buoyant force is equal to the weight of the fluid that the object displaces. Therefore, if the weight of the object is equal to or less than the buoyant force, the object will float. If the weight is greater, the object will sink.

How does the shape and size of the object affect the buoyant force?

The shape and size of the object can affect the buoyant force in two ways. Firstly, a larger object will displace more fluid and experience a greater buoyant force. Secondly, the shape of the object can affect the distribution of the buoyant force, with objects that are more streamlined experiencing less resistance and therefore a greater buoyant force.

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