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

A car is at velocity of 20 km/h. If the car traveled 120 km in 3 hours at constant acceleration, what is its final velocity?

Answers

The velocity is dueuueue. 100

To increase muscular strength the number of reputation should be?
A high
B light
C heavy
D low



increase muscular endurance the number of repetitions should be?
A high
B light
C heavy
D low


To increase muscular endurance the weight being lifted should be?
A high
B light
C heavy
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to increase muscular strength the weight being lifted should be?
A high
B light
C heavy
D low​

Answers

Answer:

Explanation:

heavyy

A car travels 90 km/h. How long does it take for the car to travel
400 km?
b. 1.5x103 s
C. 1.5x104 s
a. 4x104 s.
d. 1.6x104s

Answers

Answer:

4.44 hr

Explanation:

distance= rate*time

400km/(90 km/hr)=time

time=4.44 hr

The effect wind has on an airplane can be modeled by using a wind tunnel. What is one limitation of this model

Answers

Answer:

The limitations of this this model is the amount of wind being blown to effect the airplane.

Answer:  Highly skilled workers are necessary to run the wind tunnel.

Explanation: I took the quiz on A pex.

A force of 50 N acts upon a 10 kg block. Calculate the acceleration of the object.

Answers

acceleration = force / mass = 50/10 = 5 m/s^2

What is an antibody and what does it do?

Answers

an antibody is a blood protein produced in response to and counteracting a specific antigen. Antibodies combine chemically with substances which the body recognizes as alien, such as bacteria, viruses, and foreign substances in the blood.

Antibodies are proteins that help fight off infections and can provide protection against getting that disease again (immunity). Antibodies are disease specific.

A man starts walking at a steady speed of 1 m/s and 6s later his son sets off from the same point in pursuit of him, starting at rest and accelerating at 2/3 m/s/s. How far do they go before they are together?

Answers

Answer:

The father will walk 6 more meters and the son will walk 12 meters

Explanation:

Uniform Speed and Acceleration

This is a problem where two objects have different types of motion. The father walks at a constant speed and later, his son starts a constant acceleration motion in pursuit of him.

Let's start with the father, whose speed is v=1 m/s during t=6 seconds. He travels a distance:

[tex]x=vt=1*6=6\ m[/tex]

Now the son, starting from rest (vo=0) accelerates at a=2/3 m/s^2. His speed will increase and eventually, he will catch up with his father. Let's suppose it happens at a time t1.

The distance traveled by the son is given by:

[tex]\displaystyle xs=v_o.t_1+\frac{a.t_1^2}{2}[/tex]

Since vo=0:

[tex]\displaystyle xs=\frac{a.t_1^2}{2}[/tex]

The father will continue with constant speed and travels a distance of:

[tex]xf=v.t_1[/tex]

For them to catch up, the distance of the son must be 6 m more than the distance of the father, because of the leading distance he has already taken. Thus:

[tex]xs=xf+6[/tex]

Substituting the equations of each man:

[tex]\displaystyle \frac{a.t_1^2}{2}=v.t_1+6[/tex]

We know a=2/3, v=1:

[tex]\displaystyle \frac{2}{3}\cdot\frac{t_1^2}{2}=t_1+6[/tex]

Simplifying:

[tex]\displaystyle \frac{t_1^2}{3}=t_1+6[/tex]

Multiply by 3:

[tex]t_1^2=3t_1+18[/tex]

Rearranging:

[tex]t_1^2-3t_1-18=0[/tex]

Factoring:

[tex](t_1-6)(t_1+3)=0[/tex]

Solving:

[tex]t_1=6 , t_1=-3[/tex]

Since time cannot be negative, the only valid solution is

[tex]t_1=6\ s[/tex]

The distance traveled by the son in 6 seconds is:

[tex]\displaystyle xs=\frac{2/3\cdot 6^2}{2}[/tex]

[tex]xs=12\ m[/tex]

Note the father will travel

[tex]xf=1*6=6\ m[/tex]

This 6 m plus the 6 m he was ahead of the son, make them meet while walking at 6 seconds.

Answer: The father will walk 6 more meters and the son will walk 12 meters

I’ve been stuck on this question, what’s the answer to this question?

Answers

Explanation:

[tex]\sf{H_2CO_3 + NaOH \longrightarrow NA_2CO_3 + H_2O}[/tex]

Where [tex]\sf{H_2CO_3 }[/tex] is Carbonic AcidWhere [tex]\sf{ NaOH }[/tex] is Sodium HydroxideReaction gives out [tex]\sf{ NA_2CO_3 + H_2O}[/tex]Where [tex]\sf{ NA_2CO_3 }[/tex] is Sodium HydroxideAnd [tex]\sf{ H_2O}[/tex] is water.

So, [tex]\sf{ NA_2CO_3 }[/tex] Sodium Carbonate is the answer.

Hope it helps :)

for which pair of objects would adding the same amount of eletrons to each object result in a decrease in a electrical force

Answers

Answer:

two positively charged objects

Explanation:

The gravitational constant G was first measured accurately by Henry Cavendish in 1798. He used an exquisitely sensitive balance to measure the force between two lead spheres whose centers were 0.27 m apart. One of the spheres had a mass of 188 kg, while the mass of the other sphere was 0.93 kg.
What was the ratio of the gravitational force between these spheres to the weight of the lighter sphere?

Answers

The gravitational force between the spheres is

[tex]F_{\rm g}=\dfrac{G(188\,\mathrm{kg})(0.93\,\mathrm{kg})}{(0.27\,\mathrm m)^2}\approx1.6\times10^{-7}\,\mathrm N[/tex]

where G = 6.674 x 10⁻¹¹ N m²/kg².

The weight of the lighter sphere is

[tex]F_{\rm w}=(0.93\,\mathrm{kg})g\approx9.1\,\mathrm N[/tex]

where g = 9.80 m/s².

The ratio between the two forces is then

[tex]\dfrac{F_{\rm g}}{F_{\rm w}}\approx1.8\times10^{-8}[/tex]


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

Answers

Answer:

its temperature stays constant

Explanation:

explain which one would have a larger momentum a charging elephant or a buzzing bee​

Answers

The elephant because , Going at the same speed, the elephant, having more mass, will have much more momentum. Because momentum must always be conserved, when the elephant bumps into you, it will have more effect than the buzzing bee, as more momemtum will tranfser to an object

Plz mark me brainliest

A 1-kilogram object is thrown horizontally and a 2-kilogram object is dropped vertically at
the same instant and from the same point above the ground. Which of the following will
be the same for both objects at any given instant?

Answers

Their vertical position will be the same for both at any instant. They will both hit the ground at the same time.

Acceleration is the change in the velocity of the object with time. Acceleration is the same for both objects so both objects will reach the ground at the same time.

How do you find out the common value for both objects?

Given that both the object dropped at the same time. So the gravitational acceleration of both the objects will be the same which is nearly 10 m/s.

The force at object 1 is given below.

[tex]F_1 = m_1\times g = m_1\times a_1[/tex]

Where m1 is the mass of object 1 and a1 is the acceleration of object 1.

[tex]F _1 = 1\times 10 = 10 \;\rm N[/tex]

The acceleration of object 1 is calculated as below.

[tex]a_1 = \dfrac{F_1}{m_1}[/tex]

[tex]a_1=\dfrac{10}{1} = 10 \;\rm m/s^2[/tex]

The force at object 2 is given below.

[tex]F_2 = m_2\times g = m_2\times a_2[/tex]

Where m2 is the mass of object 2 and a2 is the acceleration of object 2.

[tex]F_2 = 2\times 10 =20 \;\rm N[/tex]

The acceleration of object 2 is calculated as below.

[tex]a_2 = \dfrac{F_2}{m_2}[/tex]

[tex]a_2=\dfrac{20}{2} = 10 \;\rm m/s^2[/tex]

Hence we can conclude that the acceleration of both the objects is the same at every point so they will reach the ground at the same time.

To know more about the acceleration, follow the link given below.

https://brainly.com/question/12134554.

leaves uses_,_and_to make food for the plant​

Answers

light, water, carbon dioxide

Explanation:

c02 , h20 and light

Light water and carbon dioxide

Find the magnitude of the magnetic field that will cause the electron to follow the semicircular path from A to B.

Answers

Answer:

[tex]B=1.61\times 10^{-4}\ T[/tex]

Explanation:

The attached figure shows the path followed by an electron in the semicircular path from A to B.

Velocity of the electron is, [tex]v=1.42\times 10^6\ m/s[/tex]

It can be seen from the figure that the radius of thenpath, r = 5 cm or 0.05 m

The magnetic force acting on the electron is balanced by the centripetal force acting on it. It means,

[tex]Bqv=\dfrac{mv^2}{r}[/tex]

B is the magnitude of the magnetic field

[tex]B=\dfrac{mv}{rq}\\\\\text{Putting all the values}\\\\B=\dfrac{9.1\times 10^{-31}\times 1.42\times 10^6}{0.05\times 1.6\times 10^{-19}}\\\\B=1.61\times 10^{-4}\ T[/tex]

So, the magnitude of the magnetic field is [tex]1.61\times 10^{-4}\ T[/tex].

The magnitude of the magnetic field that will cause the electron to follow the semicircular path from A to B will be  [tex]B=1.61\times 10^-{4]\ T[/tex]

What is magnetic field?

The magnetic field is defined as when the current passes through the wire, then the magnetic field is generated around the wire in a circular pattern.

The attached figure shows the path followed by an electron in the semicircular path from A to B.

The velocity of the electron is, [tex]v=1.42\times 10^6\ \frac{m}{s}[/tex]

It can be seen from the figure that the radius of then path, r = 5 cm or 0.05 m

The magnetic force acting on the electron is balanced by the centripetal force acting on it. It means,

[tex]Bqv=\dfrac{mv^2}{r}[/tex]

B is the magnitude of the magnetic field

[tex]B=\dfrac{mv}{rq}[/tex]

[tex]B=\dfrac{9.1\times 10^{-31}\times1.42\times 10^6}{0.05\times 1.6\times 10^{-19}}[/tex]

[tex]B=1.61\times 10^{-4}\ T[/tex]

So, the magnitude of the magnetic field is  [tex]B=1.61\times 10^-{4]\ T[/tex]

To know more about the magnetic field, follow

https://brainly.com/question/26257705

I really need help on this.

Answers

Earth's rotation is crucial to understanding the Coriolis effect. The Equator is where Earth rotates more quickly than the poles. There at Equator, Earth is larger.

Equatorial areas therefore move at a speed of around 1,600 km/h (1,000 mph) in a 24-hour period to complete a revolution. Earth rotates slowly towards to the poles, at 0.00008 km/h (0.00005 mi/h).

Low-pressure systems called cyclones draw air towards their "eye" or central region. Fluids representing high-pressure systems in the Northern Hemisphere pass low-pressure regions to the right.

Air masses are deflected when they're drawn inside cyclones from across all sides, giving the appearance that a hurricane is rotating clockwise. Trade winds refer to these air masses' recurrent circulation patterns.

To know more about speed click here

brainly.com/question/28224010

#SPJ1

Two point charges of magnitudes +5.00 μC, and +7.00 μC are placed along the x-axis at x = 0 cm and x = 100 cm, respectively. Where must a third charge be placed along the x-axis so that it does not experience any net force because of the other two charges? Two point charges of magnitudes +5.00 μC, and +7.00 μC are placed along the x-axis at x = 0 cm and x = 100 cm, respectively. Where must a third charge be placed along the x-axis so that it does not experience any net force because of the other two charges? 50 cm 45.8 cm 9.12 cm 91.2 cm 4.58 cm

Answers

Answer:

45.8 cm

Explanation:

To solve this, we will use the formula

5 / x² = 7/(1 - x)²

5 / x² = 7 / (1 - 2x + x²)

5 / 7 = x² / (1 - 2x + x²)

x = 0.5 * (√(35) - 5) meters

x = 0.5 * (5.916 - 5)

x = 0.5 * (0.916)

x = 0.458 or x = 45.8

The position where the third charge is placed along the x-axis so that it does not experience any net force because of the other two charges is 45.8 cm.

Given :

Two point charges of magnitudes +5.00 μC, and +7.00 μC are placed along the x-axis at x = 0 cm and x = 100 cm, respectively.

The following calculation can be used in order to determine the position where the third charge is placed along the x-axis so that it does not experience any net force because of the other two charges.

[tex]\rm \dfrac{5}{x^2}=\dfrac{7}{(1-x)^2}[/tex]

Simplify the above expression by cross multiplying.

[tex]5(x^2+1-2x)=7x^2[/tex]

[tex]\rm 5x^2 + 5 - 10x = 7x^2[/tex]

[tex]2x^2+2x-1=0[/tex]

Further, simplify the above expression in order to determine the value of x.

x = 0.458

x = 45.8 cm

Therefore, the correct option is b).

For more information, refer to the link given below:

https://brainly.com/question/24391667

Which undergoes greater acceleration: an airplane that goes from 1000 km/h to 1005 km/h in 10 seconds or a skateboard that
goes from zero to 5 km/h in 1 second?

Answers

Answer:

Skateboard

Explanation:

Acceleration is change in velocity over time.

a = Δv / Δt

The airplane's acceleration is:

a = (1005 km/h − 1000 km/h) / 10 s

a = 0.5 km/h/s

The skateboard's acceleration is:

a = (5 km/h − 0 km/h) / 1 s

a = 5 km/h/s

Being a micro-manager is an example of using effective team building techniques

T or F​

Answers

Answer:

TRUE

Explanation:

Answer:

True

Explanation:

Lithium can be found in?

Answers

Answer:

Lithium does not occur as the metal in nature. Is found combined in small amounts in nearly all igneous rocks and in the waters of many mineral springs. Spodumene, petalite, lepidolite, and amblygonite are the more important minerals containing lithium.

Lithium can be found in Lithium-ion batteries, some heat-resistant glass and ceramics, some grease lubricants, and some anti-depressant medications.

Explain why the interconnection is not valid. Explain why the interconnection is not valid. A valid interconnection would require the 3 AA and 4 AA sources to supply different currents in the same direction, which they do not. A valid interconnection would require the 3 AA and 4 AA sources to supply different currents in opposite directions, which they do not. A valid interconnection would require the 3 AA and 4 AA sources to supply the same current in opposite directions, which they do not. A valid interconnection would require the 3 AA and 4 AA sources to supply the same current in the same direction, which they do not.

Answers

Complete Question

The diagram for this question is shown on the first uploaded image

Explain why the interconnection is not valid.

i A valid interconnection would require the 3 A and 4 A sources to supply different currents in the same direction, which they do not.

ii  A valid interconnection would require the 3 A and 4 A sources to supply different currents in opposite directions, which they do not.

iii  A valid interconnection would require the 3 A and 4 A sources to supply the same current in opposite directions, which they do not.

iv A valid interconnection would require the 3 A and 4 A sources to supply the same current in the same direction, which they do not

Answer:

The correct option is  iv

Explanation:

Looking at the diagram we see that the current source are connected in series, generally the current flowing through two source that are connected in series is suppose to be the same but in this case it is not so

i.e [tex]4A  \ne 3 A[/tex] hence Kirchhoff's law is broken or not followed in this circuit which means the interconnection is not valid  

also another reason why the interconnection is not valid is because the current are flowing in the different directions  

A train travels from Boston to New York. It travels at a speed of 180 km/h for two hours, speeds up to 200 km/h for the next four hours and then slows down to 120 km/h for the next six hours. What is the average speed of the train for this trip?

Answers

Answer:

156 2/3 km/hr

Explanation:

Average speed is found by dividing total distance by total time.

180 km/hr in 2 hrs is 360 miles

200 km/hr in 4 hrs is 800 miles

120 km/hr in 6 hrs is 720 miles

Total time is 12 hrs; Total distance 1880 hrs

Divide distance by time and you have 156 2/3 km/hr. This is your average speed.

A tennis ball is released from a height of 2.0 m above the floor, and then bounces three times. With each bounce, dissipative forces cause it to lose 16.0% of its mechanical energy. How high does it reach after the third bounce?

140 cm

120 cm

120 mm

12 cm

Answers

Answer:

12 cm

Explanation:

From what I got with my answer (8.192 cm) I went ahead and rounded it to the closest answer which is 12 cm. Hopefully im correct but if not, I apologize in advance.

I would definitely say D: 12cm
Anything higher than i’d say 70 cm is false and it’s way to much. Thank you!!!


A man runs 400.0m around the track,
then another 400.0m around the track again.
As the track is 400.Om long, the man is back
where he started!
a) calculate distance travelled

b) calculate mans displacement

Answers

Answer:

Distance = 800 m, Displacement = 0

Explanation:

It is given that,

A man runs 400 m around the track,  then another 400 m around the track again.

(a) Distance travelled by an object is the sum of total path covered.

In this case, he has covered total path of 400 m + 400 m i.e. 800 m. It means he travelled a distance of 800 m.

(b) Displacement covered by an object is the shortest path covered by it. In this problem, he reaches the point from where he has started. It means that his displacement is equal to 0.

How does energy from the sun travel to earth .

Answers

Answer:

through uv light

Energy travels from the Sun to the Earth through electromagnetic waves, like infra red radiation, visible light as well as Ultraviolet and higher frequency radiation.

ASAP PLEASE :)
How can we add kinetic energy to a baseball or football?

Answers

Answer:

Hitting it or throwing it with force.

If a drag racing car accelerated at 69 miles per second in 0.25 s, what is the acceleration of the car

Answers

Answer:

acceleration is : 276 mi/s^2

(276 miles per second squared)

Explanation:

We use the formula for acceleration (a) which is the change in velocity divided by the time it took to change it:

a = (vf - vi) / t

where "vf" stands for final velocity, "vi" for initial velocity, and "t" for the time it took for the velocity to change.

In our case:

a = (69 - 0) / 0.25 = 276 mi/s^2

(276 miles per second squared)

How does Newton’s second law apply to golf

Answers

Answer:  Newton's Second Law of Motion is proven through the way the golf ball flies through the air. Newton's law states that the net force of an object (Fnet) is equivalent to the object's mass (m) multiplied by the object's acceleration (a). In other words, Fnet = ma.

Explanation: Vote me brainliest ;D


A automotive test driver travels due north in a prototype hybrid vehicle at 30 mi/h
for 2 hours. She then reverses her direction and travels due south at 60 mi/h for 1 hour.

What is the average speed of the vehicle?
a) 40 mi/h
b) 50 mi/h
c) zero mi/h
d) 60 mi/h
e) 30 mi/h

Answers

Answer:

Option A. 40 mi/h

Explanation:

To obtain the average speed of the vehicle, we'll begin by calculating the distance travelled by the vehicle in each case. This is illustrated below:

Case 1:

Speed = 30 mi/h

Time = 2 h

Distance =...?

Speed = Distance /Time

30 = Distance /2

Cross multiply

Distance = 30 × 2

Distance = 60 mi

Case 2:

Speed = 60 mi/h

Time = 1 h

Distance =...?

Speed = Distance /Time

60 = Distance /1

Cross multiply

Distance = 60 × 1

Distance = 60 mi

Finally, we shall determine the average speed of the vehicle as follow:

Total distance travelled = 60 + 60

Total distance travelled = 120 mi

Total time = 2 + 1

Total time = 3 h

Average speed =..?

Average speed = Total Distance travelled /Total time

Average speed = 120/3

Average speed = 40 mi/h

Therefore, the average speed of the vehicle is 40 mi/h

when are two magnets attracted?

Answers

Answer:

when the negative and positive energy is connected

Explanation:

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