Imagine you have a collection of identical flat-bottomed coffee filters that can be nested (stacked inside of each other) so that the resulting area is roughly unchanged. The terminal velocity of one coffee filter is measured to be 0.856 m/s. What is the terminal velocity of 14 nested coffee filters

Answers

Answer 1

Answer:

the terminal velocity of 14 nested coffee filters is 3.2 m/s

Explanation:

Given the data in the question;

we know that;

The terminal velocity is proportional to the square root of weight.

v ∝ √W

v = k√W

the proportionality constant depends upon the surface area and the density of the medium (like air). The coffee filters can be stacked such that the resulting area is roughly unchanged. So, the constant of proportionality k is also unchanged

v/√W = constant

v₂/√W₂ = v₁/√W₁

v₂ = v₁√(W₂ / W₁ )

given that;

v₁ = 0.856 m/s,

W₂ = 14W₁; meaning 14 coffee filters have 14 times the weight of a single coffee filter

so we substitute

v₂ = 0.856 √(14W₁  / W₁ )

v₂  = 0.856 √( 14( W₁/W₁)

v₂  = 0.856 √( 14(1)

v₂  = 0.856 √( 14 )

v₂  = 0.856 × 3.741657

v₂  = 3.2 m/s

Therefore, the terminal velocity of 14 nested coffee filters is 3.2 m/s


Related Questions

Explain how the removal of heat energy affects the speed of the particles in a substance

Answers

Answer:

The removal of heat energy slows the speed of particles

Explanation:

When you add heat to a substance, the heat energy gets transferred to kinetic energy, and the molecules began to move a greater distance at a greater speed. When you remove heat, the opposite happens.

What are the differences between thermionic and photoelectric emission?​

Answers

Answer:

During thermionic emission, electrons are emitted from metal surfaces by providing heat energy, while during photoelectric emission, light energy is emitted when electrons are emitted from the surface of metal

Hope it helps :)

when did the ball fly farther—when it hit the moving bat or the bat that did not move?

Answers

Answer:

when it hit the moving bat

Explanation:

force equals mass times acceleration which means the moving bat will add more force to the ball.

Ball fly farther when it hit the moving bat, bat will add more force to ball.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction

force equals mass times acceleration which means the moving bat will add more force to the ball.

Ball fly farther when it hit the moving bat, bat will add more force to ball.

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A 400 g ball is tied to the end of a 2 m light cord is revolved in a horizontal plane, with the cord
making a 60° angle with the vertical. If the cord can withstand a maximum tension of 60 N, what
is the highest speed at which the ball can move?

Answers

Answer:

Explanation:

Too much information.

At 60° the cord tension must have a vertical component to support the weight and a horizontal component to provide the required centripetal force

tan60 = (mv²/R) / mg = v²/Rg

tan60 = v² / (Lsin60)g

v² = Lgsin60tan60

v² = 2(9.8)sin60tan60

v² = 29.4

v = 5.42 m/s

The ball MUST be moving at 5.42 m/s for the string to make a 60° angle with the vertical.

Let's see if the string is strong enough to do the task

Vertical force requirement

Fy = mg = 0.400(9.8) = 3.92 N

Horizontal force requirement

Fx = mv²/R = 0.400(29.4)/(2sin60) = 6.7896 N

total tension in the cord

F = √(3.92² + 6.7896²) = 7.84 N

so the cord is strong enough and has a safety factor of 60 / 7.84 = 7.7

But the question is asking what is the highest speed the ball can achieve without breaking.

For this we MUST ignore the 60° limit. The cord will be much closer to 90° from the vertical.

We already know the tension must supply 3.92 N vertically.

So the cord on the verge of breaking is at an angle of

θ = arccos(3.92/60) = 86.25°

and has a centripetal force of

Fx = 60sin86.25 = 59.8715 N

Fx = mv²/R

v² = RFx/m = (Lsinθ)Fx / m

v = √(2sin86.25)(59.8715) / 0.400)

v = 17.28342...

v = 17 m/s

Unit conversion

The choices are in units
A,GA,MA,uA,kA,mA,nA,pA. Pick one the units

Unit conversion The choices are in unitsA,GA,MA,uA,kA,mA,nA,pA. Pick one the units

Answers

Answer:

  1.234567 kA

Explanation:

The prefix k stands for kilo-, or 10³. The prefix m stands for milli-, or 10⁻³. The sum shown is ...

  1.234 kA + 0.000567 kA = 1.234567 kA

a stationary golf ball is hit by a club. while the club is in contact with the ball, the ball compresses, the club exerts maximum force when the ball is at maximum compression, and then the ball expands. the momentum of the golf ball after contact with the club is represented by the vector above. which of the following groups of vectors could represent the force exerted on the ball at the three moments described?

Answers

The momentum of the gold ball that represents the force exerted on the ball at the three moments described is vector B.

Momentum is a vector quantity resulted from the mass of a particle and its velocity. Momentum represents the force acting on the particle. Momentum is the implication of Newton's Second Law. Momentum can be formulated as:

P = m.v

where:

P = momentum

m = mass

v = velocity

Following the three moments, we can identify the vector that represent the force exerted on each moment. Let's discuss them further.

Once the golf ball is hit by a club from its stationary position, the force exerted on the golf ball will be in the same direction to the club movement. We assume in this case that the club hits the ball from the left to right. The force will move the ball from its stationary position to the right.

Once the ball is at maximum compression, the force is also at its maximum point. The direction of the force remains as the previous moment.

Lastly, once the ball starts to expand, the force declines. The ball will come to its end position once the momentum of the force becomes zero (0). The momentum of the force will decline since the force direction changes to the left as resulted of the frictional force from the air.

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Complete Question:

A stationary golf ball is hit by a club. while the club is in contact with the ball, the ball compresses, the club exerts maximum force when the ball is at maximum compression, and then the ball expands. the momentum of the golf ball after contact with the club is represented by the vector above. which of the following groups of vectors could represent the force exerted on the ball at the three moments described?

(Please refer to the picture attached below)

a stationary golf ball is hit by a club. while the club is in contact with the ball, the ball compresses,

A wave with a frequency of 5Hz travels a distance of 40mm in 2 seconds.What is the speed of the wave​

Answers

Answer:

20mm per second

Explanation:

lol

Which investigation BEST measures the gravitational force on a
toy car?
A. rolling the car down a steep ramp and measuring time
B. using a spring scale and measuring the weight of the car
C. pushing the car and measuring how far it travels before it stops
D. throwing the car in the air and measuring how far it goes before coming
down

Answers

Answer:

B : using a spring scale and measuring the weight of the car

Explanation:

faraday's law states that the potential difference can be increased by... (choose all that apply)

1. using static electricity instead of current electricity

2. increase the number of coils, increase the strength of the magnet
3. using a bunch of small magnets
4. increasing the time used to power up an electromagnet
5. increase the speed of the magnet

Answers

Id say its the last option of the fourth option

Explanation:

Answer:  

1:increase the number of coils, increase the strength of the magnet

2:increase the speed of the magnet

3: increasing the time used to power up an electromagnet

Explanation:

1). Increasing the number of turns of wire in the coil – By increasing the amount of individual conductors cutting through the magnetic field, the amount of induced emf produced will be the sum of all the individual loops of the coil, so if there are 20 turns in the coil there will be 20 times more induced emf than in one piece of wire.

2). Increasing the speed of the relative motion between the coil and the magnet – If the same coil of wire passed through the same magnetic field but its speed or velocity is increased, the wire will cut the lines of flux at a faster rate so more induced emf would be produced.

3). Increasing the strength of the magnetic field – If the same coil of wire is moved at the same speed through a stronger magnetic field, there will be more emf produced because there are more lines of force to cut.

24. A body A rests on a smooth horizontal table. Two bodies of mass 2 kg and 10 kg hanging freely, are attached to A by strings which pass over smooth pulleys at the edges of the table. The two strings are taut. When the system is released from rest, it accelerates at 2 m/s2 . Find the mass of A.

Answers

The two strings are taut. When the system is released from rest, it accelerates at 2 m/s2 then, Mass of A = 8m/5 kg.

Let the mass of the body A be ‘m’.

The two strings are taut so they exert a tension ‘T’ on body A.

Let ‘a’ be the acceleration produced in the system.

The free body diagram of body A is given below: mA + 2T = mA + ma = mA + m(2)mA + 10T = mA + ma = mA + m(2)

As the two strings are taut, we can say that tension in both strings is equal.

Therefore 2T = 10T or T = 5T As the body A is resting on a smooth horizontal table, there is no friction force acting on the body A.

The net force acting on body A is the force due to tension in the strings. ma = 2T – mg …(1)

As per the given problem, the system is released from rest.

Hence the initial velocity is zero.

Also, we are given that the system accelerates at 2 m/s2.

Therefore a = 2 m/s2 …(2)

From the equations (1) and (2), we get, m(2) = 2T – mg …(3)⇒ m(2) = 2×5m – mg⇒ 2m = 10m – g⇒ g = 8m/5

Thus, the mass of A is 8m/5 kg.

Answer: Mass of A = 8m/5 kg.

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Need help with this to please? Cause no Idk?

Need help with this to please? Cause no Idk?

Answers

Answer:

C

Explanation:

I think buh were is the question

John drove a truck for one hour at a rate of 80 kilometers per hour (km/hr). The next hour, he drove at 100 km/hr. What was his average speed during those two hours?
km/hr

Answers

Please i have asked a.question please help.me

Explanation:

Please i have asked a question in math please help me

~~~~NEED HELP ASAP~~~~

Block A slides into block B along a frictionless surface. They are moving in the direction from left o the right.

Block A= 3kg

Block B= 4kg

Block A velocity before collision =30m/s.

Block B velocity before collision = 15 m/s

The velocity of block B after the collision is 20m/s.


a.) What is the velocity of block A after collision?

b.) Is the collision elastic? Show work to explain answer why or why not.

Answers

Answer:

Block A velocity is 23.33 m/s and the collission is not elastic.

Explanation:

a) m1v1 + m2v2 = m1v1' + m2v2'

Plug in givens

90+60=3v1'+80

solve for v1'= 23.33m/s

b) Find the initial and final kinetic energy of Block B

Ki= 1/2(4)(15)^2 + 1/2(3)(30)^2 = 1800 J

Kf= 1/2(4)(20)^2 + 1/2(3)*(23.33)^2= 1616.433J

Since Ki does not equal Kf the collision is not elastic

Select the generic equation suggested by a graph showing a half-parabola. a y = kx b y = kx2 c y = k(1/x)

Answers

Answer:

b

Explanation:

a parabola (yes, also a half-parabola is a parabola in its nature) is a quadratic equation.

that means it must have a squared variable term.

so, of course, it can only be b : y = kx².

An object with a mass of 2000 kg accelerates 8.3 m/s2 when an unknown force is applied to it. What is the amount of the force?

Answers

Answer:

16,600 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 2000 × 8.3

We have the final answer as

16,600 N

Hope this helps you

A ballast bag is dropped from a balloon that is 300 m above the ground and rising at 13 m/s. For the bag, find (a) the maximum height reached, (b) its position and velocity 5.0 s after it is released, and (c) the time at which it hits the ground.

Answers

308.6 m the maximum height reached.

Define velocity

The main determinant of an object's location and rate of motion is its velocity. It can be explained as the distance an object travels in one measure of time. The displacement of the item in a given amount of time is referred to as velocity.

The distance a person travels in a predetermined amount of time is referred to as speed.

Vi is the starting speed.

Vf is final speed

A=acceleration and Y=displacement

When the bag is freed, its Vi equals that of a balloon traveling at 13 m/s upward.

At the moment of release, choose up as positive y=0.

Vf=0 when it is maximum. Using the equation 2Vf=2Vi+2ay,

0=(13m/s)2+2(9.81m/s2)y, and y=8.6m

300 + 8.6 = 308.6 m is the highest point.

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Louis Armstrong ride his bike 55km east time trial in 51 minutes what was his average velocity in KM/min?

Answers

Louis Armstrong's average velocity in the time trial was approximately 1.078 km/min.

How to determine average velocity?

To calculate the average velocity, divide the total displacement by the total time taken. In this case, Louis Armstrong rode his bike 55 km to the east in a time trial lasting 51 minutes.

Average Velocity = Displacement / Time

Displacement = 55 km (since he rode 55 km to the east)

Time = 51 minutes

Average Velocity = 55 km / 51 min

To express the average velocity in km/min, convert the time from minutes to minutes.

1 hour = 60 minutes

Average Velocity = 55 km / 51 min × (1 hour / 60 min)

Average Velocity = 55 km / 51 min × (1/60) hour

Simplifying the expression:

Average Velocity = 1.078 km/min

Therefore, Louis Armstrong's average velocity in the time trial was approximately 1.078 km/min.

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A2.00 kg block is pulled across a
flat, frictionless floor with a 4.17 N
force directed 40.0° above
horizontal. What is the normal force
acting on the block?
(Hint: It is NOT = mg)
normal force (ND)

Answers

Answer:

Explanation:

R + 4.17sin(40) = mg

R = mg - 4.17sin(40)

= 2(9.8) - 4.17sin(40)

= 16.91957567

= 16.92 N

A 2.00 kg block is pulled across a flat, friction less floor with a 4.17 N force directed 40.0° above horizontal.  The normal force acting on the block  16.92 N.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Given in the question,

R + 4.17 sin(40) = mg

R = mg - 4.17 sin(40)

  = 2(9.8) - 4.17 sin(40)

  = 16.91957567

  = 16.92 N

A 2.00 kg block is pulled across a flat, friction less floor with a 4.17 N force directed 40.0° above horizontal.  The normal force acting on the block  16.92 N.

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A car travels at a constant 10 m/s, then deaccelerates at a
constant 2 ms -2 until rest. Determine time elapsed and car’s
distance before rest

Answers

The time elapsed is the ratio of velocity to the acceleration. The deceleration is given 2 m/s² and the velocity is 10 m/s. Then the time elapsed is 5 seconds.

What is acceleration ?

Acceleration of an object is the rate of change in its velocity. Thus it is the ratio of the change in velocity to the time. If the rate is decreasing, then it is called deceleration.

Given that velocity u = 10 m/s

deceleration = 2 m/s²

then t = v/t

t = 10 m/s / 2 m/s² = 5 s.

Now, the distance of the car before rest is :

s = ut + 1/2 at²

s = 10 m/s ×5 s + 1/2 (-2 m/s²) × 5² = 25 m.

Therefore, the car will travel up to 25 m before rest.

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An object of mass 2kg moves in circles at radius 8m at uniform speed of 30m/s calculate. A_angular velocity B_ceritripetal force

Answers

The angular velocity is 3.75 m/s and the centripetal force is 225 N respectively.

The angular velocity of an object with respect to some extent is a degree of the way rapid that item actions through the point's view, within the feel of the way speedy the angular function of the item modifications. An instance of angular pace is a ceiling fan. One blade will whole a complete round in a certain amount of time T, so its angular speed with respect to the middle of the ceiling fan is twoπ/T.

Calculation:-

A. angular velocity ω = v/r

                                     = 30 /8

                                      = 3.75 m/s

                                     

B. Centripetal force = mv²/r

                             = 2×30²/8

                              = 225 N

There are 3 formulations we will use to find the angular velocity. the primary comes instantly from the definition. The angular pace is the rate of alternate of the position attitude of an object with respect to time, so w = theta / t, in which w = angular pace, theta = position attitude, and t = time.

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One of the experiments that helped determine the mechanical properties of DNA involved attaching a bead to each end of a long strand of DNA and stretching it. A force vs. extension graph of this experiment is shown at right. The -axis shows the force (in pN) and the -axis plots the stretch per base-pair (in nm). At low forces (below ~3 pN), the DNA molecule behaves like a Hookean spring.

Answers

One of the important phases in single DNA molecule analysis is stretching or aligning DNA molecules onto a surface using molecular combing methods. Several contemporary investigations, however, have concentrated on -DNA or other big DNA molecules.

What is DNA stretching?

The degree to which DNA coils affects whether chromosomal strands are short and thick or long and thin. The DNA in chromosomes is more freely coiled between cell divisions and forms long thin strands called chromatin. That's how long one of your cells' DNA would be if you uncoiled each strand and laid them end to end. If you did this for all of your DNA, the resultant strand would be 67 billion miles long—the equivalent of around 150,000 round journeys to the Moon.

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Coulomb is the unit of which quantity?

Answers

Answer:

electric charge

Answer:

Electric charge.

Explanation:

Coulomb, unit of electric charge in the metre - kilogram - second - ampere system, the basis of the SI system of physical units. It is abbreviated as C. The coulomb is defined as the quantity of electricity transported in one second by a current of one ampere.

A porter can climb 10 staircase of 30cm each in 10 sec by carrying a 50kg bag. Calculate the power of the porter

Answers

Therefore, the power of the porter is 441,450 J/s, or approximately 441.5 watts.

What is work done?

The work done by the porter in lifting the 50 kg bag up the stairs can be calculated as the product of the force applied and the distance moved.

The force applied is the weight of the bag, which is given by:

F = m * g

where m is the mass of the bag and g is the acceleration due to gravity, which is approximately 9.81 m/s². Substituting the given values, we get:

F = 50 kg * 9.81 m/s²

F = 490.5 N

The distance moved by the porter in lifting the bag up one staircase is 30 cm, and the porter climbs 10 staircases in 10 seconds, which gives a speed of:

v = (10 * 30 cm) / 10 s

v = 30 cm/s

The power of the porter is the rate at which work is done, which can be calculated as:

P = W / t

where W is the work done and t is the time taken. Substituting the values, we get:

P = F * d * v / t

P = 490.5 N * 10 * 30 cm * 30 cm/s / 10 s

P = 441,450 J/s

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If there is a 25 [lbs] of force acting on a 5 [lbs] of mass, what is the acceleration of that mass?

Answers

Answer:

f = 25 lbs

m = 5 lbs

a =?

f = ma

25 = 5 a( divide both sides by 5)

a = 5(lbs)

Who has greater displacement, an astronaut who has just completed an orbit of the earth or you when you have just traveled from home to school?

Answers

Answer:

Explanation:

This is going to sound like an absurd answer, but sometimes physics can be a little strange.

This answer is weird because of the definition of displacement. It means the distance from the starting point to the ending point, disregarding what happened in between. The point is that the astronaut is at the starting point of his orbit. By definition the starting and ending points are the same. His displacement is 0.

So the answer is you have the greater displacement when you walked one way to school.  The starting point and the ending point are different. You have gone further.

However just to make things a little nasty, when you walk home again, your displacement will be the same as the astronaut's -- 0 meters because you will be right back where you started from.

You that just traveled from home to school has greater displacement than the astronaut.

Displacement is defined as the change in the position of an object.

An astronaut who completed an orbit of the earth, has moved from an initial position x₁ and returned to the same position x₁ because Earth is assumed to be spherical. To complete an orbit of the Earth, the astronaut must return to his initial position since he will move round the Earth.

The displacement of the astronaut is zero because x₁ - x₁ = 0

For you that have just traveled from home to school, BUT haven't returned, your displacement is greater,.

Let's say the distance from your home to school = y

Your initial position at your home = 0

your displacement = y - 0 = y

Thus, you that just traveled from home to school has greater displacement than the astronaut.

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PLEASE HELP! Thank you!
Chloe and Sarah are driving bumper cars. Chloe, who is traveling west at 3.9 m/s, is behind Sarah, who is traveling west at 1.6 m/s. The total mass of Chloe’s car is 163 kg, and total mass of Sarah’s car is 179 kg. Immediately after Chloe collides with Sarah, Chloe’s velocity reduces to 0.95 m/s west. What is Sarah’s velocity immediately after the collision?

A. 5.2 m/s
B. 4.0 m/s
C. 4.3 m/s
D. 4.6 m/s

Answers

Sarah’s velocity immediately after the collision is 4.3 m/s west.

option C is the correct answer.

What is Sarah’s velocity immediately after the collision?

Sarah’s velocity immediately after the collision is calculated by applying the principle of conservation of linear momentum as follows;

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

where;

m₁ is the mass of Sarah's carm₂ is the mass of Chloe's caru₁ is the initial velocity of Sarahu₂ is the initial velocity of Chloev₁ is the final velocity of Sarahv₂ is the final velocity of Chloe

Sarah’s velocity immediately after the collision is calculated as;

179 (1.6) + 163(3.9) = 179v₁ + 163(0.9)

922.1 = 179v₁ + 146.7

179v₁ = 775.4

v₁ = 4.3 m/s

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Calculate the speed of an ancient ship that registers a distance of 3482m in 1 h​

Answers

Hello..! :)

The speed of the ancient ship is 3482 meters per hour or 96.72 centimeters per second.

Explanation:

Data:

D = 3482mT = 1hV = ?

Formula:

V = D/T

Developing:

V = 3482m/1hV = 3482 m/h

Now, we convert to see what its speed is in cm/s.

Conversion:

3482m/h (1m/100cm) (1h/3600s)

V = 96.72 cm/s

¿Doubts? On the comments. Greetings :D

Answer:

Thanks For the points

It is or 96.72 cm/s

A plot of land contains 3.6 acres. How many square meters does it contain? [1 acre = 43,560 ft?)

Answers

Answer:

It contains approximately 14,568.7 square meters

Explanation:

Area Units Conversion

There are several units to express the area of a shape:

\(cm^2,\ m^2,\ km^2,\ ft^2,\ in^2,\ acres, \ hectares\)

The process of expressing the area from one unit to the other is called a conversion.

Specifically, we are interested in converting from acres to square meters. The rule to make the conversion is:

\(1 acre = 4,046.86\ m^2\)

The plot of land has 3.6 acres, thus its area is:

\(3.6 * 4046.86 =14,568.696\ m^2\)

It contains approximately 14,568.7 square meters

I need help on a question

As we know that the three most common household fuse values are 3A,5A and 13A. Make a list of yourhousehold electrical appliances. Divide them into 3 groups according to their power consumption to decide what fuse should be fitted in the plug for each of them.​

Answers

Some household appliances and their fuse ratings are given below:

3A fuse - Table lamp, television, mixer, blender, fridge, freezer,5A fuse - floor lamps, coffee maker, dish washer13A fuse - Washing machine, dishwasher, microwave, toaster, iron.

What is a fuse?

A fuse is a device which is designed to protect an appliance by cutting off the electric circuit when current greater than its rating flows through it.

Some household appliances and their fuse ratings are given below:

3A fuse - Table lamp, television, mixer, blender, fridge, freezer,5A fuse - floor lamps, coffee maker, dish washer13A fuse - Washing machine, dishwasher, microwave, toaster, iron.

In conclusion, a fuse is designed to protect an electrical appliance from excess current.

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Maslow's hierarchy of needs assumes

Answers

Answer:

That people are motivated by a series of five universal needs.

Explanation:

Other Questions
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