A small water droplet in a mist of air is approximated as being a sphere of diameter 1.25 mil. Calculate the terminal velocity as it falls through still air to the ground.

Answers

Answer 1

The terminal velocity as it falls through still air is 4.65154 in/s.

The diameter of small water droplet is 1.25 mil= 1.25×0.0254×10^-3 m

                                                                            = 3.175 × 10^-5 m

Now the viscosity of still air is η = 1.83× 10⁻⁵ Pa

 So the formula for drag force is:

                Fd = 6πηrv

  where,  v is the velocity.

Now to attain terminal velocity acceleration must be zero.

            →  W = Fd

                ρVg = 6πrηv

                ρ × 4/3 πr³×g = 6πrηv

                           v = 2/9 × ρgr³/ η

                           v =  2/9 × 10³×9.81×(3.175×10^-3) / 18.6×10^-6

                           v = 0.1181  m/s

                           v = 4.65154 in/s

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Related Questions

Given the following situation of marble in motion on rolling 10 m/s horizontally from a height of 1.5-m with negligible friction.
a.) Once the ball leaves the table, calculate how long it will take for the ball to hit the floor?
b.) How far will the ball travel horizontally before hitting the floor?

Answers

Answer:

The ball would hit the floor approximately [tex]0.55\; \rm s[/tex] after leaving the table.

The ball would travel approximately [tex]5.5\; \rm m[/tex] horizontally after leaving the table.

(Assumption: [tex]g = 9.81\; \rm m \cdot s^{-2}[/tex].)

Explanation:

Let [tex]\Delta h[/tex] denote the change to the height of the ball. Let [tex]t[/tex] denote the time (in seconds) it took for the ball to hit the floor after leaving the table. Let [tex]v_0(\text{vertical})[/tex] denote the initial vertical velocity of this ball.

If the air resistance on this ball is indeed negligible:[tex]\displaystyle \Delta h = -\frac{1}{2}\, g\, t^{2} + v_0(\text{vertical}) \cdot t[/tex].

The ball was initially travelling horizontally. In other words, before leaving the table, the vertical velocity of the ball was [tex]v_0(\text{vertical}) = 0 \; \rm m \cdot s^{-1}[/tex].

The height of the table was [tex]1.5\; \rm m[/tex]. Therefore, after hitting the floor, the ball would be [tex]1.5\; \rm m \![/tex] below where it was before leaving the table. Hence, [tex]\Delta h = -1.5\;\rm m[/tex].

The equation becomes:

[tex]\displaystyle -1.5 = -\frac{9.81}{2} \, t^{2}[/tex].

Solve for [tex]t[/tex]:

[tex]\displaystyle t = \sqrt{1.5 \times \frac{2}{9.81}} \approx 0.55[/tex].

In other words, it would take approximately [tex]0.55\; \rm s[/tex] for the ball to hit the floor after leaving the table.

Since the air resistance on the ball is negligible, the horizontal velocity of this ball would be constant (at [tex]v(\text{horizontal}) =10\; \rm m \cdot s^{-1}[/tex]) until the ball hits the floor.

The ball was in the air for approximately [tex]t = 0.55\; \rm s[/tex] and would have travelled approximately [tex]v(\text{horizontal})\cdot t \approx 5.5\;\rm m[/tex] horizontally during the flight.

A plane has a take off speed of 1 point
300 km/h. What is the
acceleration in m/s2 of the
plane if the plane started from
rest and took 45 seconds to
take off? *​

Answers

Answer:

Acceleration = 1.85m/s²

Explanation:

Given the following data;

Final velocity = 300km/h to m/s = 300*1000/3600 = 83.33m/s

Time = 45 seconds

Since the plane started from rest, initial velocity is equal to 0m/s.

To find the acceleration;

In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.

Mathematically, acceleration is given by the equation;

[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]

Where,

a is acceleration measured in [tex]ms^{-2}[/tex]

v and u is final and initial velocity respectively, measured in [tex]ms^{-1}[/tex]

t is time measured in seconds.

Substituting into the equation, we have;

Acceleration = (83.33 - 0)/45

Acceleration = 83.33/45

Acceleration = 1.85m/s²

Therefore, the acceleration of the plane is 1.85m/s².

A magnetic field is formed when electric charges move. When the electric charges stop moving, the magnetic field (which was formed by the moving charges) ceases to exist. True or False​

Answers

True

Explanation:

when electrons stop.moving it cause a stoppage

in formation of magnetic field

i hope.it helps u

how do I write an essay on how I feel about online school​

Answers

Answer:

Some students appreciated the social aspect of Zoom classrooms, while others felt online education worked best for them when they were working on their own. ... Students said they appreciated having a well-planned work week and didn't appreciate “surprise” assignments online any more than they appreciate them in class

Explanation:

What's I know I said

What do you u write it

Susan said, if I fertilize my geranium plants, they will blossom

Answers

Answer:

I don't know what you're asking, but I will try my best.

If Susan fertilizes her geranium plants, it will help them blossom. If she over-fertilizes them though, they will die. But yes, in general, they will blossom if Susan fertilizes her geranium plants.

what are common in the pictures?​

Answers

Answer:

the flowers the left have them on there heads the middle on there chest and the right one has them on there shoulders

A rocket at rest with a mass of 942 kg is acted on by an average net force of 6,731 N upwards for 21 s. What is the final velocity of the rocket?

Answers

Answer:

Final velocity, V = 150.15 m/s

Explanation:

Given the following data;

Mass = 942kg

Net force = 6,731N

Time = 21secs

To find the final velocity of the rocket;

First of all, we would determine the acceleration of the rocket with respect to time.

Force = mass * acceleration

Substituting into the equation, we have;

6,731 = 942*acceleration

Acceleration = 6731/942

Acceleration = 7.15m/s²

Now, to find the final velocity we would use the first equation of motion.

V = U + at

Since the rocket started from rest, its initial velocity (U) is zero.

V = 0 + 7.15*21

Final velocity, V = 150.15 m/s

Cadmium has eight naturally occurring isotopes. What do the isotopes have in common?
A.
atomic mass
B.
mass number
C.
number of protons
D.
number of neutrons

Answers

C, their number of protons is the same but the neutron numbers change (thats what makes them isotopes)

The isotopes of any element have same number of protons inside them.

What is Cadmium?

Cadmium is a chemical element with the symbol Cd and atomic number 48. It is soft, silvery and white metal.

Given is about Cadmium that it has eight naturally occurring isotopes.

Isotopes are the atoms of the same element which have same number of protons in them but the number of neutrons are different. Isotopes usually have same chemical properties, but they have different physical properties. Their can be stable and unstable isotopes. These unstable isotopes are also called radioisotopes, since they emit radiation. Thus, the isotopes have same number of protons.

Therefore, the isotopes of any element have same number of protons inside them.

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A 10 kg boat is moving 3 m/s. Find kinetic energy. Use KE = (mv^2)/2 ​

Answers

KE = 1/2 (mv^2)

m= 10kg, v=3m/s

10 * (3^2) = 90

Again, KE = 1/2 (mv^2)

1/2 (90) =

45 Joules

How does the composition of a comet compare with that of the Sun?
Both objects are composed of gas.


Both objects contain a form of water.


Comets are made of ice and dust, while the Sun is made of gas.


Comets are made of frozen rock, while the Sun is made of burning rock.

Answers

Answer:

C

Explanation:

The composition of a comet compared with that of the Sun is C "Comets are made of ice and dust, while the Sun is made of gas".

What are comets?

Comets are small, icy bodies that originate from the outer solar system and are composed mainly of frozen water, carbon dioxide, methane, and ammonia, along with dust and small rocky particles. When a comet approaches the Sun, its icy material vaporizes, creating a glowing coma (a hazy atmosphere around the nucleus) and a tail that points away from the Sun due to the solar wind.

On the other hand, the Sun is a giant ball of hot, glowing gas, composed mainly of hydrogen (about 73% of its mass) and helium (about 25% of its mass), with trace amounts of other elements like oxygen, carbon, and iron. The Sun generates energy through nuclear fusion reactions in its core, which convert hydrogen into helium and release a tremendous amount of energy in the process.

Therefore, the composition of a comet is quite different from that of the Sun. While both objects contain some water (in the form of ice for comets and vapor for the Sun), comets are predominantly made of ice and dust, while the Sun is predominantly made of gas, with only a small amount of solid material in its core.

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Help please if u don’t know one don’t answer it but do the most that u can

Answers

(2) 120 * 0.4 = 48 W

(3) 500 / 2 = 250 V

(4) 1000 / 300 = 3.3 A

(5) 700/3 = 233.3 V

(6) 1600 / 240 = 6.7 A

(7) 160 / 2 = 80 V

(8) 120 * 6 = 720 W

(9) 1000 / 240 = 4.17 A

Power (watts) = electric potential difference(volts) * intensity(amps)

Pls , give me Brainliest pls pls pls pls

Answer:

1. 1689 v 259 v p=v 1* + 8.3 answer 2090

Put the following objects in order from smallest
Wrong order
Milky Way
Earth
Moon
Jupiter
Universe
Sun
Comet
Solar System

Answers

Moon

Earth

Sun

Comet

Jupiter

Solar system

Milky Way

Universe

A player throws a basketball with a force of 30.0 N. If the mass of the basketball is 0.625 kg, what acceleration (in m/s) does the player give to the ball?​

Answers

Answer:

your answer should be 48 m/s.

Explanation:

the total for was 30N and the formula for force is F=m*a divide the force by the known, in this case the mass. 30/0.625=48 m/s

A rock with a mass of 80grams dropped into a graduated cylinder with 30 ml of water in it the readingof water became 70 ml what is the density of the rock

Answers

Explanation:

[tex]b = m \div v \\ 80 \div 30 \times 10 { -}^{2} [/tex]

solve: A car travels 2 km North , 10 km East, then 3 km West. pythagorean theorem

Answers

________b_____ 7 km east

|

| 2km north.

|a

|

°

pythagorean theorem : ✓a² + b² = c²

c² = a² + b² = 4 + 49 = 53

c = ✓53 km

displacement = c = ✓53 km

distance = 10 + 3 + 2 = 15 km

can you suggest improvement that can be made towards the design of siphon so that the transfer of liquid is much higher.​

Answers

Answer:

A siphon is a tube that makes use of the potential energy of fluid at an elevated level to transfer the fluid to a lower level, due to pressure differences between the inlet and the outlet points of the tube, such that the pressure at the outlet is higher than the pressure at the inlet

The pressure energy is converted into velocity (kinetic) energy, and therefore, in other to increase the flow rate through the tube of a siphon, with constant diameter, the level of the fluid in the container at the inlet (supply) of the siphon is raised higher than the level at the outlet receiving) container or the outlet point of the siphon tube

The larger the difference between the inlet and outlet levels, the faster the transfer of fluid by the siphon

Explanation:

please please help!!!!!

Answers

All resistors are in series
Therefore R=r1+r2+r3
=1+5+2=8 ohm
V=16v

Therefore V=IR
I=V/R
=16/8=2A
Current=2A

How are the sun and Earth's moon different?(2 points)
The sun is a ball of gases that revolves around Earth, while the moon is the center of the solar system,
The sun is a ball of rock and gas, while the moon is a ball of rock that revolves around the sun.
The sun is the center of the solar system, while the moon is a ball of rock that revolves around Earth
The moon is the center of the solar system, while the sun is the center of the Milky Way.

Answers

Answer: The Sun measures 1.4 million km across, while the Moon is a mere 3,474 km across. In other words, the Sun is roughly 400 times larger than the Moon. But the Sun also happens to be 400 times further away than the Moon, and this has created an amazing coincidence.

Explanation:

Electrical energy in motion is what type of energy ?

Answers

Answer:

kinetic energy

Explanation:

Electrical energy is a type of kinetic energy caused by moving electric charges. The amount of energy depends on the speed of the charges – the faster they move, the more electrical energy they carry.

It’s Kinetic energy

A force of 10 N acts to the left and a force of 5 N acts to the right on an object of mass 1 kg. If its initial speed is zero , what is its velocity after 1 second ?

Answers

Answer: -5 m/s

Explanation:

First find the net force by summing up the forces:

-10N + 5N = -5N

Use Newton's Second Law of motion to solve for the acceleration:

F = ma

-5N = 1kg(a)

a = -5 m/s^2

Use the first kinematic equation to solve for the final velocity:

Vf = Vi + at

Vf = 0 + (-5)(1)

Vf = -5 m/s

someone please helppp

Answers

okay, so what i have learned from my experiences with doing school on e.d.g.e.n.u.i.t.y (they won't let me say the website name on here lol) is that after you write an extended response, they show you a sample response as well as these checkboxes which show things they wanted you to have included in your answer. ideally they want you to select all of them, meaning that all of those elements were included in your answer. it's not a matter or right or wrong; none of those checkboxes contain a wrong answer. you just select the ones that apply to your answer, and you won't get penalized if you don't select all of the checkboxes. you don't even have to select any of them. there's been times where my answer has been not at all what it should've been and i just click done without checking any of those boxes because i did not include any of those elements in my response. as long as the box that you wrote your answer in is outlined in green (which yours is, and that means that the computer likes your answer), you will be fine.

i hope this makes sense! it's sort of hard to explain. if you have any questions, just comment and i'll try my best to explain better lol. have a great rest of your day! <3

what is the si unit of loudness of sound​

Answers

Answer:

We know that loudness is directly proportional to amplitude and SI unit of amplitude is Decibel So unit of loudness is decibel

Answer:

volume

Explanation:

the si unit of sound is volume

What determines a wave’s velocity? a The number of waves per a period of time. b The amplitude of the wave. c The medium it travels through. d How much constructive interference there is.

Answers

Answer:

A

Explanation:

I'm pretty sure that this answer is correct please let me know!

What is the mass of an object that has 324 J of energy and is moving at a speed of 9 m/s? Answer:​

Answers

Answer:

the mass of that object = 324 ÷ 9 = 36j

Answer:

36 kg

Explanation:

m=?

KE= 324 J

v= 9 m/s

m= 324 / 9

= 36 kg

which is not a cinstellation?​

Answers

Answer:

The Big Dipper

Explanation:

percent of Earth's surface is made up of Oxygen.
a) 30
b) 46
c) 62

Answers

Answer: it's made up about 21% so if you do not have this option I say go with 30

Explanation:

Please help. Will give branliest!!

Which action is an example of a force that operates at a distance.

A. A baseball thrown by a player.
B. A pebble falling to the ground
C. Fish swimming in the water
D. A sailboat sailing on a lake

Answers

An action which is an example of a force which operates at a distance is a pebble falling to the ground. Thus, the correct option is B.

What is force?

A force is an influence which can be changed upon with the motion of an object. A force can cause an object with some amount of mass to change the velocity of the object, i.e., to accelerate the object. Force can also be described as a push or a pull of the object. A force is a vector quantity because it has both the magnitude and direction.

A pebble falling to the ground level is an example of the force which operates at a specific distance. A force applied on the pebble covers some distance.

Therefore, the correct option is B.

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Which of the following have the most GPE. 1.) a car at the top of a hill 2.) a car at the bottom of the hill 3.) a car half way down the hill 4.) on the straight part of the track. (I don't know how to give Brainly)

Answers

Answer: car at the top of a hill

Explanation:

A 0.6kg ball accelerated at 55 m/s​ 2​ . What force was applied?

Answers

Answer: 33N

Explanation:

Newton's second Law of motion F = ma

F = (0.6)(55) = 33N

can someone please help:)

1- A positive charge of 3x10-7 is located in a field of 27N/C directed toward the south. What is the force acting on the charge?



2- A positive test charge of 5x10-6Cis in an electric field that exerts a force of 2x10-4N on it.

What is the magnitude of the electric field at the location of the test charge?

Answers

Explanation:

(1) Given that,

A charge, [tex]q=3\times 10^{-7}\ C[/tex]

Electric field, E = 27 N/C

We need to find the force acting on the charge. The force on the charge is given by :

[tex]F=qE\\\\F=3\times 10^{-7}\times 27\\F=8.1\times 10^{-6}\ N[/tex]

So, the force acting on the charge is [tex]8.1\times 10^{-6}\ N[/tex]

(b) Charge, [tex]q=5\times 10^{-6}\ C[/tex]

Force, [tex]F=2\times 10^{-4}\ N[/tex]

Let E be the electric field.

[tex]E=\dfrac{F}{q}\\\\E=\dfrac{2\times 10^{-4}}{5\times 10^{-6}}\\\\E=40\ N/C[/tex]

So, the electric field is 40 N/C.

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