Trying to find volume given Newtons/ archimedes principle

In summary, the volume of the paperweight can be calculated by finding the difference between its weight in air and weight in water, dividing by gravity to find its mass, and then dividing by the density of water to find its volume.
  • #1
bc1170
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Homework Statement



A paperweight, when weighed in air, has a weight of W = 6.6 N. When completely immersed in water, however, it has a weight of Win water = 4.0 N. Find the volume of the paperweight.


Homework Equations



Fb = Wfluid


The Attempt at a Solution



I can find density using density of object/density of water=weight of object/initial weight-immersed weight

but can not seem to find out how to find volume... I am stuck
 
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  • #2
The difference between the two weights is the weight of the displaced water, isn't it? What volume of water has a weight of 2.6N?
 
  • #3
I am not sure.. I know that Newtons are kg/s^2 I just don't know how it relates in any way to volume
 
  • #4
Newton's are kg*m/s^2. They are a unit of force. They have the same units as m*a (in F=ma). Volume relates to mass through density. Mass relates to force through weight equals mg (m is mass and g is the acceleration of gravity). You might want to review some of these topics.
 
  • #5
The nitty gritty of it is as follows.
the Difference of the weight in the air, and the weight in the water equals weight of the object
Therefore, we use the following steps to find the volume of the object.

Step 1)
6.6 N -4.0 N = 2.6 N <--weight of water displaced

Step 2)
Divide by gravity to get mass of object
2.6 N / 9.81 m/s^2 = .265kg <-- mass of object

Step 3)
Take that and divide by the density of water
.265kg / 1000kg/m^3 = 2.65E-4 m^3 <--equals the volume of the object
 

1. How do Newtons and Archimedes principle relate to finding volume?

Newtons and Archimedes principle are both fundamental principles in physics that can be used to calculate the volume of an object. Newton's principle states that the buoyant force acting on an object is equal to the weight of the fluid displaced by the object. Archimedes principle states that the buoyant force is equal to the weight of the fluid displaced by the object, which can also be used to calculate the volume of an object.

2. What is the formula for finding volume using Newtons and Archimedes principle?

The formula for finding volume using Newtons and Archimedes principle is V = W/ρg, where V is the volume, W is the weight of the object, ρ is the density of the fluid, and g is the acceleration due to gravity. This formula is derived from both Newton's and Archimedes principles.

3. Can Newtons and Archimedes principle be used for any type of object?

Yes, Newtons and Archimedes principle can be used for any type of object, as long as the object is partially or fully submerged in a fluid. This includes both solid and hollow objects of any shape or size.

4. How accurate is the volume calculation using Newtons and Archimedes principle?

The volume calculation using Newtons and Archimedes principle is highly accurate, as long as the density of the fluid is known and the object is fully or partially submerged. However, there may be some slight errors due to factors such as surface tension or irregularities in the fluid's density.

5. What are some real-world applications of using Newtons and Archimedes principle to find volume?

Newtons and Archimedes principle can be used in various real-world applications, such as determining the volume of ships or submarines, calculating the amount of water displaced by a boat to avoid capsizing, and determining the volume of objects in medical procedures, such as determining the size of a tumor in the body.

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