Question

Experiment #9 Buoyant Force Based on the well-known Archimedes principle, objects in a fluid of density ? will buoy up by an upward lifting force, known as the Buoyant Force designated by letter B. The principle states that: B = W_{Displaced-Fluid} (1) Consider the following experiment where we wish to determine the density ? of a fluid. For this purpose we take a solid object of weight w_{Object} = (27/17)N with a density ?_{object} = 2700kg / m^3 placed on a spring with a force constant k N / m. The Spring and the object are all placed inside a container with a fluid whose density ? we wish to determine (see Figure.) (a) Draw a free-body diagram of all forces acting on mass m_0. (b) Use equation(1) to unfold B from which you can write: y = A / k, (2) Where y is the spring compression, and k is spring constant. Use table values to construct a power fit of y vs k. Choose y as vertical and k as horizontal axes respectively. From this graph and the expression for A in equation (2) compute your experimental value of the density ? of the fluid. k(N/m) | y(m) 1 | 1 2 | 0.500 3 | 0.333 4 | 0.250 5 | 0.200 6 | 0.166 7 | 0.143 8 | 0.125 9 | 0.111 10 | 0.100

          Experiment #9

Buoyant Force

Based on the well-known Archimedes principle, objects in a fluid of density ? will buoy up by an upward lifting force, known as the Buoyant Force designated by letter B. The principle states that:

B = W_{Displaced-Fluid} (1)

Consider the following experiment where we wish to determine the density ? of a fluid. For this purpose we take a solid object of weight w_{Object} = (27/17)N with a density ?_{object} = 2700kg / m^3 placed on a spring with a force constant k N / m. The Spring and the object are all placed inside a container with a fluid whose density ? we wish to determine (see Figure.)

(a) Draw a free-body diagram of all forces acting on mass m_0.
(b) Use equation(1) to unfold B from which you can write:

y = A / k, (2)

Where y is the spring compression, and k is spring constant.

Use table values to construct a power fit of y vs k.

Choose y as vertical and k as horizontal axes respectively.

From this graph and the expression for A in equation (2) compute your experimental value of the density ? of the fluid.

k(N/m) | y(m)
1 | 1
2 | 0.500
3 | 0.333
4 | 0.250
5 | 0.200
6 | 0.166
7 | 0.143
8 | 0.125
9 | 0.111
10 | 0.100

Show more…

Experiment #9

Buoyant Force

Based on the well-known Archimedes principle, objects in a fluid of density ? will buoy up by an upward lifting force, known as the Buoyant Force designated by letter B. The principle states that:

B = WDisplaced-Fluid (1)

Consider the following experiment where we wish to determine the density ? of a fluid. For this purpose we take a solid object of weight wObject = (27/17)N with a density ?object = 2700kg / m^3 placed on a spring with a force constant k N / m. The Spring and the object are all placed inside a container with a fluid whose density ? we wish to determine (see Figure.)

(a) Draw a free-body diagram of all forces acting on mass m0.
(b) Use equation(1) to unfold B from which you can write:

y = A / k, (2)

Where y is the spring compression, and k is spring constant.

Use table values to construct a power fit of y vs k.

Choose y as vertical and k as horizontal axes respectively.

From this graph and the expression for A in equation (2) compute your experimental value of the density ? of the fluid.

k(N/m) | y(m)
1 | 1
2 | 0.500
3 | 0.333
4 | 0.250
5 | 0.200
6 | 0.166
7 | 0.143
8 | 0.125
9 | 0.111
10 | 0.100

Added by Joshua V.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

04/14/2022

Step 1

Step 1:** Draw a free-body diagram of all forces acting on mass \(m_o\): - Weight of the object: \(W = 27/17 N\) - Buoyant force: \(B\) - Spring force: \(k \cdot y\) - Net force: \(F_{net} = B - W - k \cdot y\) ** Show more…

Show all steps

lock

Thanks for your feedback!

Experiment #9 Buoyant Force Based on the well-known Archimedes principle, objects in a fluid of density ρ will buoy up by an upward lifting force, known as the Buoyant Force designated by letter B. The principle states that: B = W_{Displaced-Fluid} (1) Consider the following experiment where we wish to determine the density ρ of a fluid. For this purpose we take a solid object of weight w_{Object} = (27/17)N with a density ρ_{object} = 2700kg / m^3 placed on a spring with a force constant k N / m. The Spring and the object are all placed inside a container with a fluid whose density ρ we wish to determine (see Figure.) (a) Draw a free-body diagram of all forces acting on mass m_0. (b) Use equation(1) to unfold B from which you can write: y = A / k, (2) Where y is the spring compression, and k is spring constant. Use table values to construct a power fit of y vs k. Choose y as vertical and k as horizontal axes respectively. From this graph and the expression for A in equation (2) compute your experimental value of the density ρ of the fluid. k(N/m) | y(m) 1 | 1 2 | 0.500 3 | 0.333 4 | 0.250 5 | 0.200 6 | 0.166 7 | 0.143 8 | 0.125 9 | 0.111 10 | 0.100

Play audio

Feedback

Powered by NumerAI

Sri K and 82 other subject Physics 101 Mechanics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

00:01 Hi everyone, so the question is saying that an object is in a fuel of density row with violent problem by an upward lifting cause is acting from it.

00:12 Okay, so a violent cause is acting on the letter b.

00:15 So what is you see in most of the whole role of the pid diagram? so, i have a body, a man and agent based here and with a cisf center.

00:27 So there are also a force is acting from b.

00:30 For upward and other rounderose the upward force is being noted by a b and the number is a so the roundwork horse a is spring course here okay number force a is spring force here and upward force b is bivouacose little u okay so the upward post is birean force here so we put the value of violet force is equal to this the b submast, b submersed, multiplied by row, multiply by g.

01:06 R is density, g is gravitational bay and b is velocity of the summash b.

01:11 So, we know that b is equal to v submust, it equal to mass of 525 density of the 5x r into g.

01:23 So this will be equal to if we take these two turns and together and then we will d into g to identify row into b and take the other time that is show of set so this is equation number one with lager as question number one okay and the equation number two as you know that the spin course is required to k into one that means the spin constant multiplied by this step okay so this is equation number set okay so the equation of a paragraph we have to do a so the graph if we find out the value.

02:05 What is the graph here? here we have to give the value on.

02:11 We have to give the value and we throw this value on x and y xx a such that such that here is my m and here is k and well...

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later