Stokes’ law describes sedimentation of particles in liquids and can be used to measure viscosity. Particles in liquids achieve terminal velocity quickly. One can measure the time it takes for a particle to fall a certain distance and then use Stokes’ law to calculate the viscosity of the liquid. Suppose a steel ball bearing (density 7.8 \times 10^3~\text{kg/m}^37.8×10 ​3 ​​ kg/m ​3 ​​ and diameter 3.0~\text{mm}3.0 mm) is dropped in a container of motor oil. It takes 12 s to fall a distance of 0.60 m. Calculate the viscosity of the oil.

Answers

Answer 1

Answer:

The viscosity is  [tex]\eta  = 0.76243 \ kg/ m \cdot s [/tex]  

Explanation:

From the question we are told that

  The  density is  [tex]\rho  =  7.80 *10^{3} \  kg/m^3[/tex]

  The diameter is  [tex]d =  3.0 \  mm =0.003 \ m[/tex]

    The  time taken is  [tex]t  =  12 \ s[/tex]

   The  distance covered is  [tex]d =  0.60 \ m[/tex]

Generally the velocity of the ball is  

      [tex]v  =  \frac{d}{t}[/tex]

=>    [tex]v  =  \frac{0.60}{12}[/tex]

=>    [tex]v  =  0.05 \ m/s [/tex]

Generally the mass of the steel ball is  

    [tex]m  =  \rho  *  V[/tex]

Here  V  is the volume and this is mathematically represented as

     [tex]V  =  \frac{4}{3} *  \pi  * [\frac{d}{2}  ]^3[/tex]

=>    [tex]V  =  \frac{4}{3} *  3.142  * [\frac{0.003}{2}  ]^3[/tex]

=>      [tex]V  = 1.414 *10^{-8} \  m^3[/tex]

So

     [tex]m  = 7.80 *10^{3}  *   1.414 *10^{-8}[/tex]

     [tex]m  = 0.00011 \  kg [/tex]

Generally the viscosity is mathematically represented as  

     [tex]\eta  =  \frac{m  *  g}{6\pi  *  r  *  v }[/tex]

Here  r is the radius represented as

      [tex]r =  \frac{d}{2}[/tex]

=>   [tex]r =  \frac{0.003}{2}[/tex]

[tex]r =  0.0015  \  m [/tex]

So

  [tex]\eta  =  \frac{0.00011  *  9.8}{6 *  3.142   * 0.0015  * 0.05 }[/tex]    

=> [tex]\eta  = 0.76243 \ kg/ m \cdot s [/tex]


Related Questions

If this piece of abductin is 3.1 mm thick and has a cross-sectional area of 0.49 cm2 , how much potential energy does it store when compressed 1.5 mm ?

Answers

Complete question:

A scallop forces open its shell with an elastic material called abductin, whose Young's modulus is about 2.0×10⁶ N/m2 .

If this piece of abductin is 3.1 mm thick and has a cross-sectional area of 0.49 cm2 , how much potential energy does it store when compressed 1.5 mm ?

Answer:

The elastic potential energy of the material is 0.036 J

Explanation:

Given;

Young's modulus, E = 2.0×10⁶ N/m²

Thickness of the abductin, l = 3.1 mm = 0.0031 m

compression of the abductin, x = 1.5 mm = 0.0015 m

area, A = 0.49 cm² = 0.49 x 10⁻⁴ m²

Young's modulus for elastic material is given by;

[tex]E = \frac{stress}{strain} = \frac{Fl}{Ax} \\\\ E = \frac{F}{x}*\frac{l}{A}\\\\ E = k*\frac{l}{A}\\\\k = \frac{AE}{l}\\\\k = \frac{(0.49 x10^{-4})(2*10^6)}{0.0031}\\\\ k = 31,612.9 \ N/m[/tex]

The elastic potential energy of the material is given by;

U = ¹/₂kx²

U = ¹/₂(31,612.9)(0.0015)²

U = 0.036 J

Therefore, the elastic potential energy of the material is 0.036 J

On the surface of the earth the weight of an object is 200 lb. Determine the height of the
object above the surface of the earth, in miles, for the object to register a weight of 125
pounds.

Answers

Answer:

The height of the  object is 5007.4 miles.

Explanation:

Given that,

Weight of object = 200 lb

We need to calculate the value of [tex]Gmm_{e}[/tex]

Using formula of gravitational force

[tex]F=\dfrac{Gmm_{e}}{r^2}[/tex]

Put the value into the formula

[tex]200=\dfrac{Gmm_{e}}{(3958.756)^2}[/tex]

[tex]200\times(3958.756)^2=Gmm_{e}[/tex]

[tex]Gmm_{e}=3.134\times10^{9}[/tex]

We need to calculate the height of the  object

Using formula of gravitational force

[tex]F=\dfrac{Gmm_{e}}{r^2}[/tex]

Put the value into the formula

[tex]125=\dfrac{200\times(3958.756)^2}{r^2}[/tex]

[tex]r^2=\dfrac{200\times(3958.756)^2}{125}[/tex]

[tex]r^2=25074798.5[/tex]

[tex]r=\sqrt{25074798.5}[/tex]

[tex]r=5007.4\ miles[/tex]

Hence. The height of the  object is 5007.4 miles.

Will give brainliest!!!!! Help asap

Answers

Answer:

Correct choice: 5,400 Km/h

Explanation:

Unit Conversions

We'll use the following conversions:

1 Km = 1,000 m

1 h = 3,600 s

Convert the speed of sound in water (1.5\cdot 10^3\ m/s) to Km/h:

[tex]\displaystyle 1.5\cdot 10^3\ m/s*\frac{ 3,600\ s/h}{ 1000 \ Km/m}[/tex]

[tex]=5,400\ Km/h[/tex]

Correct choice: 5,400 Km/h

Please help I don’t know how to do this

Answers

the answer is 3.17647059 hours

Answer:

3.176 hours

Explanation:

given:

distance = 270 km

speed = 85 km/h

find:

how long does it take to get into his audition in hours?

solution:

velocity = distance / time

85 km/h =  270 km  

                      t

85 (t) = 270

t = 270 / 85

t = 3.176 hours

A .25 kilogram baseball is thrown upwards with a speed of 30 meters per second. Neglecting friction the maximum height reached by the baseball is approximately

Answers

Answer: 46 meters

Explanation:

The maximum height reached by the base ball is 45.9 meters.

To find the maximum height the given values are,

Mass = 25 Kg

speed v = 30 meters per second.

What is the height of baseball reached?

As the ball goes up, it acts due to the gravity.

The gravity slows an upward-moving object,

Acceleration due to gravity = 9.8 m/s every second,

the baseball reaches its greatest height in (30/9.8) = 3.06 seconds.

At that instant, its speed is zero.

The baseball's average speed from toss to peak is

            (1/2) (30 + 0)  =  15 m/s .

The baseball average speed = 15 m/s

And the time for greatest height = 3.06 seconds.

Substituting the given values,

The ball rises can be calculated as

 (15 x 3.06)  =  45.9 meters.

Thus, the baseball reached the maximum height approximately is 45.9 meters.

Learn more about the height due to gravity,

https://brainly.com/question/1977173

#SPJ6

URGENT!! A 0.057 kg tennis ball and a tennis racket collide. The racket has an initial
momentum of -2.80 kg m/s and a final momentum of -1.97 kg-m/s. The ball
has an initial momentum of 0.02565 kg-m/s. If you assume the collision is
elastic, what is the final velocity of the ball?
O A. -83.26 m/s
O B. -0.80 m/s
O C. -14.11 m/s
O D. -4.75 m/s

Answers

Answer:

-14.11

Explanation:

I don't quite understand. Can you help please?

Answers

C. It was mainly concerned about wildlife.

Birds and other wild animals can be scared away from the area. This would affect the ecosystem and the local webchains.

An object is traveling with a velocity of 3.05 m/s. The object then accelerates at 2.82 m/s-over a
displacement of 18.4 m. What is its final velocity?

Answers

Answer:

Final velocity (v) = 5.148 m/s (Approx)

Explanation:

Given:

Initial velocity (u) = 3.05 m/s

Acceleration (a) = 2.82 m/s²

Displacement (s) = 18.4 m

Find:

Final velocity (v)

Computation:

v² = u² + 2as

v² = (3.05)² + 2(2.82)(3.05)

v² = 9.3025 + 17.202

v² = 26.5045

v = 5.148 m/s (Approx)

Do 2. A cyclist starts from rest and accelerates along a straight path to a speed of
12.15 m/s in a time of 4.5 seconds.
What is the cyclist's acceleration to the nearest tenth?
O
54.7 m/s2
o
24.3 m/s?
2.7 m/s2
De
3.4 m/s?

Answers

The cyclist's acceleration to the nearest tenth is: C. 2.7 [tex]m/s^2[/tex].

Given the following data:

Initial velocity = 0 m/s (since the cyclist starts from rest).Final velocity = 12.5 m/s.Time = 4.5 seconds.

To find the cyclist's acceleration to the nearest tenth:

Acceleration is calculated by subtracting the initial velocity from the final velocity and dividing by the time.

Mathematically, acceleration is given by the formula;

[tex]A = \frac{V - U}{t}[/tex]

Where:

A is the acceleration.V is the final velocity.U is the initial velocity.t is the time measured in seconds.

Substituting the given parameters into the formula, we have;

[tex]A = \frac{12.5\; - \;0}{4.5} \\\\A = \frac{12.5}{4.5}[/tex]

Acceleration, A = 2.7  [tex]m/s^2[/tex]

Therefore, the cyclist's acceleration to the nearest tenth is 2.7 [tex]m/s^2[/tex].

Read more: https://brainly.com/question/8898885

the rotational speed of earth is similar to?​

Answers

Actually, the speed of the earth is the same everywhere, taking the angular speed as the valid measure of the speed

In positron-emission tomography (PET) used in medical research and diagnosis, compounds containing unstable nuclei that emit positrons are introduced into the brain, destined for a site of interest in the brain. When a positron is emitted, it goes only a short distance before coming nearly to rest. It forms a bound state with an electron, called "positronium", which is rather similar to a hydrogen atom. The binding energy of positronium is very small compared to the rest energy of an electron. After a short time the positron and electron annihilate. In the annihilation, the positron and the electron disappear, and all of their rest energy goes into two photons (particles of light) which have zero mass; all their energy is kinetic energy. These high energy photons, called "gamma rays", are emitted at nearly 180° to each other. What energy of gamma ray (in MeV, million electron volts) should each of the detectors be made sensitive to? (The mass of an electron or positron is 9 × 10-31 kg. 1 eV = 1.6 × 10-19 joules.

Answers

Answer:

Energy of gamma ray = 506250 eV

Explanation:

We are told that the mass of an electron or positron is 9 × 10-31 kg.

This means that their energies will be the same.

Thus; E_e = E_p

Now, since electron and positron annihilate to form gamma(γ) particle, then using work energy principle, we have;

E_γ + E_γ = E_e + E_p

Thus;

2E_γ = E_e + E_p

Since E_e = E_p, we now have;

2E_γ = 2E_e

Thus;

E_γ = E_e

Since all the energy of the electron is converted, then from Einstein's relativity theory, this implies that;

E_e = mc²

c is speed of light = 3 × 10^(8) m/s

And m is given as 9 × 10^(-31) kg

Thus;

E_e = 9 × 10^(-31) × (3 × 10^(8))^(2)

E_e = 810 × 10^(-16) J

Since E_γ = E_e

Thus;

E_γ = 810 × 10^(-16) J

We are given that; 1.6 × 10^(-19) J = 1eV

Thus; 810 × 10^(-16) J gives;

(810 × 10^(-16) × 1)/(1.6 × 10^(-19)) = 506250 eV

5
2. When you keep the mass the same and decrease the unbalanced force how does the acceleration change?

Answers

Answer:

The acceleration will decrease due to less force acting on the object.

Explanation:

I WILL MARK YOU AS BRAINLIEST IF RIGHT
In order to climb up a mountainside, a train needs to start at a speed of 40 mph. The speed limit on the track, however, is 25 mph. How much time does the train need to get up to 40 mph if it can accelerate 4 mph per minute ?

Answers

Let's see what to do buddy.....

_________________________________

[tex]Acceleration = 4 \: \: \frac{mile}{ h } p( min ) [/tex]

Thus ;

The speed increases 4 units per minute.

The train has a speed of 25 mph now.

After a minute it has a speed of 29 mph.

After a minute it has a speed of 33 mph.

After a minute it has a speed of 37 mph.

Look ; 4 units per minute means 4 units per 60 seconds, thus the speed increases 1 unit per 15 seconds .

If the speed wants to increasing from 37 to 40 , needs 3 × 15 seconds = 45 sec.

So we have : 1 min + 1 min + 1 min + 45 sec .

3 minutes and 45 seconds or 225 seconds need to the speed increasing from 25 mph to 40 mph.

_________________________________

And we're done.....♥️♥️♥️♥️♥️

Types of muscle tissue includes

Skeletal muscle

Cardiac muscle

Smooth muscle

All of the above

Answers

Answer:

D. all of the above

Explanation:

hope it helps

D. All of the above

Find the required angular speed, ω, of an ultracentrifuge for the radial acceleration of a point 2.10 cm from the axis to equal 5.00×105 g (where g is the free-fall acceleration)

Answers

Answer:

ω = 15275.25 rad/s

Explanation:

Given that,

Radial acceleration of an ultracentrifuge is, [tex]a=5\times 10^5g[/tex]

Distance from the axis, r = 2.1 cm = 0.021 m

g is the free-fall acceleration such that g = 9.8 m/s²

We need to find the angular speed of an ultracentrifuge. The formula that is used to find the angular speed is given by formula as follows :

[tex]a=r\omega^2[/tex]

Putting all the values,

[tex]\omega=\sqrt{\dfrac{a}{r}} \\\\\omega=\sqrt{\dfrac{5\times 10^5\times 9.8}{0.021}} \\\\\omega=15275.25\ rad/s[/tex]

So, the required angular speed, ω, of an ultracentrifuge is 15275.25 rad/s.

leaves uses_,_and_to make food for the plant​

Answers

light, water, carbon dioxide

Explanation:

c02 , h20 and light

Light water and carbon dioxide

PLS URGENT!!
A radio station sending out a radio wave of frequency 100.5MHz at velocity of 3×10⁸ms⁻¹. At what wavelength is the radio station broadcasting

Answers

Wavelength = velocity / frequency = 3 x 10^8 / 100.5 x 10^6 = 2.99 m

Tension force ........... throughout a string that changes direction over a pulley.
(Fill in the blank)

Answers

Answer:

"is constant"

HELP PLSSSSSSSSSjjdndnsnsj

Answers

Answer:

i feel like 3 not too sure tho


What happens to the temperature of a substance while it is changing state?​

Answers

Answer:

its temperature stays constant

Explanation:

explain what happent to the pressure exerted by an object when the area over which it is exerted:
a) increase
b) decrease​

Answers

The pressure decreases if the area increases. If the area decreases then the pressure increases.

Sedimentary rock turns into magnum through which process

Answers

Sedimentary rocks are formed when sediment is deposited out of air, ice, wind, gravity, or water flows carrying the particles in suspension. This sediment is often formed when weathering and erosion break down a rock into loose material in a source area.

Oil is a powerful source of energy used for cars, machines, and many other purposes. While studying sources of energy that could replace the use of oil, a student thinks about solar power, wind power, nuclear power, and electric batteries. The students asks, "Which type of source will waste the least energy and provide the most energy in all situations?" Which best describes why a scientist would ask a different question than this one?

The question asks about subjective personal preferences regarding energy.

The question focuses on the objective measurements of amounts of energy.

The question has too wide of a focus, as though all situations can be studied at once.

The question is focused on the future and finding new answers about changing needs.

Answers

Answer:

The question has too wide of a focus, as though all situations can be studied at once

Explanation:

I took the test

Answer:

The question has too wide of a focus, as though all situations can be studied at once

Explanation:

i took ed test

is 4x a term? or does it have to remove the 4 to be a term

Answers

Answer:

4x is a term oonly

No need to be romoved

Two cars traveling in the same direction pass you at exactly the same time . The car that is going faster

Answers

moves farther in the same amount of time.

Explanation:

based on my answer......

we supposed to assume that both cars are equal except for speed. So they would have the same mass.....

Anyway, the question doesn't tell you anything about weight or size, so you can't tell from the information given which has more mass.

But the very definition of 'faster' is 'moves farther in the same amount of time'.

Hope this helps

Answer:

They both moves at the same speed

Explanation:

hope it works

Where is the magnetic south pole compared to the geographical north pole?

Answers

Currently, the magnetic south pole lies about ten degrees distant from the geographic north pole, and sits in the Arctic Ocean north of Alaska. The north end on a compass therefore currently points roughly towards Alaska and not exactly towards geographic north.

We can compare these two interactions on the basis of impulse (see above), but sometimes, we are more interested in the forces (human body can withstand very large amount of impulse, if it's delivered over a long time with small forces, but we cannot withstand very large forces lasting over more than a few milliseconds, delivering relatively small impulse). In order to estimate average force from impulse, we need the duration of interaction. Suppose that the contact of the bat with the baseball in (b) lasts for 0.7 milliseconds. What is the magnitude of the average force that the bat exerts on the baseball, for the duration of contact

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 [tex]I =  476 \ N \cdot s [/tex]

b

 [tex]I_1 =  14.21 \  N\cdot s [/tex]

c

    [tex]F  = 20300 \  N [/tex]

Explanation:

Considering the first question

From the question we are told that

   The force produced is [tex]F  =  3400 \ N[/tex]

   The duration of the punch is  [tex]t =  0.14 \  s[/tex]

Generally the impulse delivered is mathematically represented as

    [tex]I =  F  *  t[/tex]

=>    [tex]I =  3400  *  0.14[/tex]

=>    [tex]I =  476 \ N \cdot s [/tex]

Considering the second  question

   The approaching velocity of the ball is  [tex]v_b  =  45 \ m/s[/tex]

    The leaving  velocity of the ball is  [tex]v_l  =  -53 \ m/s[/tex]

     The mass of the ball is  [tex]m_b  =  0.145 \  kg[/tex]

Generally the magnitude of the impulse delivered is mathematically represented as

     [tex]I_1 =  m*  v_b  - m *  v_l[/tex]

=>     [tex]I_1 =  [0.145 *  45]  - [0.145 * -53][/tex]

=>     [tex]I_1 =  14.21 \  N\cdot s [/tex]

Considering the third  question

     The  duration of the impact of the bat is  [tex]t _1 =  0.7 \ ms  =  0.7 *10^{-3} \  s[/tex]

      Generally the average force exerted by the bat is mathematically represented as  

       [tex]F  =  \frac{I_1}{t_1}[/tex]

=>     [tex]F  =  \frac{14.21 }{0.7 *10^{-3}}[/tex]

=>       [tex]F  = 20300 \  N [/tex]

 


How much is the weight of a 1 kg mass at the pole and the equator of the earth

Answers

Given parameters:

Mass given  = 1kg

Unknown:

Weight of the body at pole and equator = ?

Solution:

Both locations are on the surface of the earth. Generally, we take 9.8m/s² as the acceleration due to gravity on the earth.  

       Weight  = mass x acceleration due to gravity

But little disparity occurs in the value of acceleration due to gravity from the pole to equator. This is due to equatorial bulge.

   At the equator  , 9.780 m/s²

               pole  9.832 m/s²

Weight at equator = 1 x 9.780  = 9.78N

Weight at the pole = 1  x 9.832 = 9.832N  

Which best illustrates the electromagnetic force in action?
-a football being kicked
-leaves falling from tree
-flashlight
-neutron beta particle and proton

Answers

Answer:

neutron beta particle and proton (last option in the list)

Explanation:

The neutron beta particle and proton inside a neutron is a clear example of a negative particle (beta particle) and a positive particle (proton) experiencing electromagnetic force (attraction between positive and negative charges) at a very short distance.

Answer:

I'm pretty sure it's the flashlight because electromagnetic force produces electricity.

derive ideal gas equation for n mole of gas.​

Answers

Answer:

Explanation:

Ideal gas equation- The volume (V) occupied by the n moles of any gas has pressure(P) and temperature (T) Kelvin,

the relationship for these variables PV=nRT where R gas constant is called the ideal gas law

Derivation of the Ideal Gas Equation

Let us consider the pressure exerted by the gas to be ‘p,’

The volume of the gas be – ‘v’  

Temperature be – T  

n – be the number of moles of gas

Universal gas constant – R

According to Boyle’s Law,

it constant n & T, the volume bears an inverse relation with the pressure exerted by a gas.

i.e. v∝1p ………………………………(i)

According to Charles’ Law,

When p & n are constant, the volume of a gas bears a direct relation with the Temperature.

i.e. v∝T ………………………………(ii)

According to Avogadro’s Law,

When p & T are constant, then the volume of a gas bears a direct relation with the number of moles of gas.

i.e. v∝n ………………………………(iii)

Combining all the three equations, we have-

v∝nTp

or pv=nRT

where R is the Universal gas constant, which has a value of 8.314 J/mol-K

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