The amplifier in a battery-powered device is being designed to deliver 50 mw to a set of headphones. the impedance of the headphones can be chosen to be?

Answers

Answer 1

The impedance of the headphones can be chosen to be 32 ohms impedance.

           Z = V/I

What is impedance?

The perceived resistance to the flow of an alternating current in an electrical circuit, which is comparable to the real electrical resistance to a direct current and which equals the ratio of effective electromotive force to effective current.

The magnitude of the impedance Z of a circuit is equal to the maximum value of the potential difference, and  voltage, V (volts) across the circuit, divided by the maximum value of a current I (amperes) through the circuit, or simply Z = V/I. The unit of impedance, such  that of resistance, is the ohm.

Case 1 :

I²R = 2P

p = 50nW

R = 8 ohm

so, on solving,

V = 0.89442 V

Case 2 :

I²R = 2P

p = 50nW

R = 32 ohm

so, on solving,

V = 1.788 V

Case 3 :

I²R = 2P

p = 50nW

R = 1000 ohm

so, on solving,

V = 10 V

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Related Questions

How much work is done by the field to rotate this dipole from an orientation of 36.0?

Answers

The field to rotate this dipole from an orientation of 36.0 does a lot of work. In order to find out how much work is done, we need to consider the rotational energy of the dipole. The rotational energy is given by:

E = 1/2 * I * omega^2

where I is the moment of inertia of the dipole and omega is the angular velocity. From the given information, we can calculate the rotational energy to be:

E = 1/2 * I * (36.0 * 2 * pi / 360)^2

= 1/2 * I * 4 * pi^2

= 2 * I * pi^2

Thus, the work done by the field is:

W = 2 * I * pi^2 * 36.0

= 72 * I * pi^2

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Please help me with these few questions! I need them done soon. Only 3 questions.

Answer:
Block A - 19.3 Kg/L
Block B - 0.64 Kg/L
Block C - 0.70 Kg/L
Block D - 0.917 Kg/L
Block E - 3.53 Kg/L

1) Which block has the greatest density?

Block A
Block B
Block C
Block D
Block E

2) Which block has the lowest density?

Block A
Block B
Block C
Block D
Block E

3) Submit your data table and identify the substance each block is made of.

Answers

The block with the greatest density = Block A

The block with the lowest density = Block B

What is density?

The density of an object is the ratio of mass to volume of the object.

density = mass/volume

The given density of the object;

Density Block A =  19.3 Kg/LDensity Block B = 0.64 Kg/LDensity Block C =  0.70 Kg/LDensity Block D = 0.917 Kg/LDensity Block E = 3.53 Kg/L

Thus, we can conclude the following based on the density of the objects;

The block with the greatest density = Block A

The block with the lowest density = Block B

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An object weighs 80.8 n in air. when it is suspended from a force scale and completely immersed in water the scale reads 18.6 n. determine the density of the object.

Answers

The density of the object is 1001 kg/ m³.

To find the density of the object, the given values are,

Weight in Air = 80.8 N

Weight in water = 18.6 N

What is density?

The density can be defined as the mass of a unit volume of a material substance.

The formula for density is,

                                  d = M/V,

where d is density, M is mass, and V is volume.

The unit of density is Kg/m³.

As we know only the weight in air and water, we have to use the formula of buoyant force,

Fb = Fair - F water

    = 80.8 - 18.6

    = 62.2 N

The buoyant force Fb = 62.2 N.

The density of the object should find, for that the velocity will be calculated using the density of the water.

The formula of buoyant force,

Fb = ρVg

where, ρ - density of water, V- velocity, g- acceleration due to gravity.

Substituting the known values,

62.2 = 1000 × V × 9.8

V = 62.2 / ( 1000× 9.8)

Thus,

V = 6.34 × 10⁻³ m³.

To find the object density,

Fb = ρVg

62.2 = ρ × 6.34 × 10⁻³   × 9.8

ρ = 62.2 / (6.34 × 10⁻³   × 9.8)

   = 62.2 / 62.132 ×10⁻³

   = 1001 kg/ m³

The density of the object is 1001 kg/ m³.

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Which gas had the largest proportional increase in mass when moving from the upper troposphere to the surface? why?

Answers

The gas that has the largest proportional increase in mass when moving from the upper troposphere to the surface is water vapor.

What is the troposphere ?

As we move away from the earth surface, we encounter a region of gases. This thin layer of gases that overlay the surface of the earth is what we call the atmosphere. There are many gases that are part of the atmosphere.

As we move away form the atmosphere, we encounter another region that lies shortly above the atmosphere called the troposphere. There is a lot of water in the troposphere because it is quite close to the earth surface.

Hence, the gas that has the largest proportional increase in mass when moving from the upper troposphere to the surface is water vapor.

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Explain four things that atomic theory presently states 

Answers

Answer:

1. Atoms are the smallest units of matter.

2. Atoms are composed of protons, electrons, and neutrons.

3. The protons and neutrons are located in the nucleus, and the electrons orbit around the nucleus.

4. The properties of atoms are determined by the number of protons in the nucleus.

Explanation:

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It takes an average car 130-140 feet to stop if they are going 55 mph. how many feet does it take for a tractor-trailer or a truck to stop going the same speed?

Answers

It will take 130-140 feet for a tractor-trailer or a truck to stop when going at the same speed.

The stopping distance of a body moving with constant acceleration can be calculated by using the following equation,

v^2 - u^2 = 2as

As the body has stopped, v will be zero.

v^2 - u^2 = 2as

The stopping distance comes out to be

s = u^2/2a

As the stopping distance is proportional to the square of the initial velocity of the body, the mass of the body does not have any effect on the stopping distance.

So, both a car and a tractor-trailer will have the same stopping distance when moving at the same speed.

Therefore, it will take 130-140 feet for a tractor-trailer or a truck to stop when going at the same speed.

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It will take 130-140 feet for a tractor-trailer or a truck to stop when going at the same speed.

The stopping distance of a body moving with constant acceleration can be calculated by using the following equation,

v^2 - u^2 = 2as

As the body has stopped, v will be zero.

v^2 - u^2 = 2as

The stopping distance comes out to be

s = u^2/2a

As the stopping distance is proportional to the square of the initial velocity of the body, the mass of the body does not have any effect on the stopping distance.

So, both a car and a tractor-trailer will have the same stopping distance when moving at the same speed.

Therefore, it will take 130-140 feet for a tractor-trailer or a truck to stop when going at the same speed.

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a 56 kg canoeist sits at rest at the back of a 23kg canoe. the canoe is at rest in the still water of a lake with its front end about 50 cm from the end of the dock. the canoeist realizes that the canoe's paddle is still on the dock, and so carefully crawls back to the front of the 3. is the canoeist likely to be able to reach the paddle

Answers

Yes, the canoeist is likely to be able to reach the paddle, the canoeist realizes that the canoe's paddle is still on the dock, and so carefully crawls back to the front of the 3.

What is displacement?

Displacement is a vector quantity. This indicates that it has both a direction and a magnitude and that it is visually represented as an arrow that points from the starting position to the ending position.

As given in the problem a 56 kg canoeist sits at rest at the back of a 23kg canoe. the canoe is at rest in the still water of a lake with its front end about 50 cm from the end of the dock.

the canoeist realizes that the canoe's paddle is still on the dock, and so carefully crawls back to the front of the 3.

Thus, paddles will most likely be within the canoeist's grasp.

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What is the typical wavelength of microwaves used to heat up a frozen burrito? [note: commercial microwaves operate at approximately 2.5 ghz.]

Answers

12.2 millimeters is the typical wavelength.

Typically, consumer ovens operate at 2.45 gigahertz (GHz), or 12.2 centimeters, of wavelength (4.80 in).

What is the usual microwave wavelength?

According to the Encyclopedia Britannica, microwaves have frequencies that range from approximately 1 billion cycles per second, or 1 GHz, up to approximately 300 GHz, and wavelengths that range from approximately 30 centimeters (12 inches) to 1 millimeter (0.04 inches).

Why do microwave ovens use a 2.45 GHz frequency?

Additionally, they typically ran at a frequency of 2.45 GHz. It was agreed that microwave ovens should be granted a few megahertz of space in both directions since, despite extensive shielding, their potent emissions could occasionally interfere with nearby frequencies.

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A cheetah can run at a maximum speed
108 km/h and a gazelle can run at a maximum speed of 79.9 km/h.
If both animals are running at full speed,
with the gazelle 75.8 m ahead, how long before
the cheetah catches its prey?
Answer in units of s.

Answers

The time taken by cheetah to catch its prey is  9.71 s.

What is speed?

Speed is the defined as the distance covered per unit time by a moving body or object.

Speed = distance/time

The speed of the gazelle = 79.9 km/h = 22.2 m/s

speed of the cheetah = 108 km/h = 30 m/s

Let distance covered by gazelle = d

distance covered bet cheetah = d + 75.8

The time taken is same for both = t

time = distance/speed

time taken by cheetah = d + 75.8/30

time taken by gazelle = d/22.2

equating both times: d + 75.8/30 = d/22.2

30 d - 22.2 d = 1682.76

d = 215.7 m

Therefore, time taken by cheetah = (215.7 + 75.8)/30

t = 9.71 s

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Study the works of shannon and nyquist on channel capacity. each places an upper limit on the bit rate of a channel based on two different approaches. how are the two related?

Answers

in that scenario, the signaling rate is exclusively constrained by the channel bandwidth according to Nyquist's analysis of the theoretical capacity of a noiseless channel.

• What signaling rate can be accomplished over a channel with a certain bandwidth, a given signal power, and in the presence of noise was addressed by Shannon.

Channel without errors The temperature of a material is defined as the average kinetic energy of its atoms or molecules, plus any other energy that can be transferred. In theory, the lower limit of temperature would be when all particles have zero energy

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Starting from rest, a 2-kg body acquires a speed of 8 m/s in 2 seconds. the net force acting on the body is:________

Answers

Starting from rest, a 2-kg body acquires a speed of 8 m/s in 2 seconds. the net force acting on the body is: 8 N

To solve this exercise the formula for net force and the formula for uniformly varied rectilinear motion (UVRM) to be applied are:

F = m * aa = (vf - vi) /t

Where:

F = Forcem = massa = accelerationvf = final velocityvi = initial velocityt = time

Information about the problem:

m = 2 kgvf = 8 m/svi = 0 m/st = 2 sa = ?F = ?N = kg * m/s²

Applying the formula for UVRM we can calculate the acceleration of the runner:

a = (vf - vi) /t

a = (8 m/s - 0 m/s) / 2s

a = 8 m/s / 2s

a = 4 m/s²

With the acceleration we can apply the net force formula and get:

F = m * a

F = 2 kg * 4 m/s²

F = 8 N

What is force?

It is the physical magnitude that expresses the effort necessary to move the mass of one kilogram with an acceleration of one meter per second squared, this is expressed in units of the international system in Newton.

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A race car traveling northward on a straight, level track at a constant speed travels 0.762 km in 20.0 s. The return trip over the same track is made in 25.0 s.
(a)
What is the average velocity of the car in m/s for the first leg of the run?

m/s
(b)
What is the average velocity (in m/s) for the total trip?
m/s

Answers

Explanation:

i hope this is the right way to solve it

9 one type of sunburn occurs on exposure to uv light of wavelength in the vicinity of 325 nm. (a) what is the energy of a photon of this wavelength? (b) what is the energy of a mole of these photons?

Answers

6.21 ×10⁻¹⁹ J  energy of a photon of this wavelength

374028.3 J the energy of a mole of these photons

Evaluation :

1) E =hc/λ

=  (6.626×10⁻³⁴×3×10⁸)/(320*10⁹)

= 6.21×10⁻¹⁹ J

2) Of 1 mole E = Avogadro no.*Energy of one photon

= 6.21×10⁻¹⁹×6.023×10²³

= 374028.3 J

3) n×(6.21×10⁻¹⁹) = (10⁻³)

Thus n = 1.61×10¹⁵

How does one find the energy of a photon?

The energy of a photon are often calculated in two ways: If the photon's frequency f is known, we will use the formula E = h f . Planck proposed this equation, which is why it's known as Planck's equation. If the photon's wavelength is understood , the photon's energy are often calculated using the formula E = h c λ

What is the charge of photon?

A photon may be a tiny particle that comprises waves of electromagnetic radiation. As shown by Maxwell, photons are just electric fields traveling through space. Photons haven't any charge, no resting mass, and travel at the speed of sunshine

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An experiment is set up in a lab. Three different
materials - copper, iron, and glass are all placed
with one end of each rod in a pan of hot water.
Each rod has an equivalent amount of wax on the
opposite end. After a few minutes, each of the
wax beads have melted at different times.

What is the dependent variable in the
experiment?


A.time
B.rate of convection
C.rate of radiation
D.rate of conduction

Answers

Answer:

B.rate of convection

Explanation:

A boy sits at the top of a 3.00 m
long playground slide, tilted at 41.09,
with Ak = 0.230. How fast is he

going at the bottom?
(Hint: Leave mass as a symbol,
and it will cancel out.)
(Unit = m/s)

Answers

That is speed=  d/t

fast is he speed = 3.7/s

Hence, the boys' acceleration will be 3.785 m/s².

The boys' acceleration will be 3.785 m/s². It is the rate of change of the velocity on the inclined plane. A type of opposition force acting on the surface of the body that tries to oppose the motion of the body. Its unit is Newton(N).

Mathematically, it is defined as the product of the coefficient of friction and normal reaction.

direction. That object's position per unit of time makes it a scalar quantity. The instantaneous speed is the upper limit of the average speed as the duration of the time interval gets closer to zero.  The average speed of an object in a period of time is the distance traveled by the object divided by the duration of the interval The meter per second (m/s) is the metric unit of speed.The next time when you’re in your car on the highway, do just that. What does it say

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Can someone help me with these five questions? With an explanation, please! Refer to these photos:

Answers

1) The body moved from 0 cm to 4 cm at a constant speed of 1 cm/s.

2) The object moved at a constant speed of 3 cm/s from 0 cm to 3cm

3) Two objects are speeding up and one object is slowing down.

4) The object moved from 4s to 8s at a constant speed of 4 cm/s

5) The horizontal line appears at 5 m/s is the second graph.

What is acceleration?

We know that acceleration has to do with the change of of velocity of an object with time.

1) We can see that the position changes by equal amounts in equal time intervals thus the body moved from 0 cm to 4 cm at a constant speed of 1 cm/s.

2) Looking at the shape of the second graph we can see that the object moved at a constant speed of 3 cm/s from 0 cm to 3cm

3) From the images of the ticker tapes, we can see that two objects are speeding up and one object is slowing down.

4) From the fourth graph, we can see that the object moved from 4s to 8s at a constant speed of 4 cm/s

5) The graph in which the horizontal line appears at 5 m/s is the second graph.

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you decide to go for a walk. you walk 8km to the north in 2 hours, than you was 3km to the south in 1 hour. what is your average speed the entire walk?​

Answers

Average speed = 3.6km/h

The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.

Calculating the ratio of the body's total distance traveled to the time needed to complete that distance yields the average speed formula. As stated in the average speed equation:

S average =  Total Distance traveled/Total Time taken

A scalar value represents the average speed. The change in position or displacement (x) divided by the time intervals (t) during which the displacement happens is the definition of average velocity. The average velocity is measured in meters per second or M/s.

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Using the midpoint method, if the price falls from $100 to $50, the price elasticity of demand is

Answers

The absolute value of the price elasticity of demand is 0.46.

What is price elasticity of demand?

The price elasticity of demand is used to determine the quantity sought after for a good. When prices rise, demand declines for almost all products, but some products are more negatively impacted than others. When a price increases by 1% while all other factors remain constant, the price elasticity provides the percentage change in quantity required. A 1% increase in price results in a 2% decrease in demand when the elasticity is negative two. The effects of changes in other parameters on the needed quantity are evaluated by other elasticities (e.g. the income elasticity of demand for consumer income changes).

What does the microeconomic midpoint technique entail?

With the midpoint formula, percentage changes are calculated by dividing the change by the average, or halfway point, between the starting and final values. As a result, the outcome is the same regardless of the direction of the change.

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Question:

Price Quantity

250 0

200 30

150 70

100 110

50 150

0 190

Using the midpoint method, if the price falls from $100 to $50, the absolute value of the price elasticity of demand is

a. 0.31.

b. 0.46.

c. 1.25.

d. 2.17

In an 8.00 km race, one runner runs at a steady 11.3 km/h and another runs at 14.3 km/h . How far from the finish line is the slower runner when the faster runner finishes the race?

Answers

Answer:

1.69 km away from the finish line.

Explanation:

velocity =distance/time

time= distance/velocity so 8km/14.3km per hour equal to 80/143 hr or 0.559 hrs for second runner to finish race

therefore 0.559 multiply by velocity to give distance of first runner when second runner finish race

0.559 times by 11.3= 6.32 km (3 significant figures)

8 km - 6.32km

= 1.69 km away from the finish line.

Calculate the mass, in grams, of 172 atoms of potassium, k (1 mol of k has a mass of 39.10 g).

Answers

By Avogadro's number, the mass is 1.12 x 10¯²⁰ gram.

We need to know about Avogadro's number to solve this problem. Avogadro's number is the number that explains how many atoms are in one mol. The Avogadro's number is

Na =  6,02 × 10²³ atoms / mol

From the question above, we know that

N = 172 atoms

Ar = 39.1

By using Avogadro's number, we can calculate the amount of potassium

N = Na . n

172 = 6,02 × 10²³ . n

n = 2.86 x 10¯²² mol

Find the mass

n = gr / Ar

2.86 x 10¯²² = gr / 39.1

gr = 1.12 x 10¯²⁰ gram

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If a system does 37.0 kj of work on its surroundings and releases 105 kj of heat, what is the change in the internal energy of the system, in kj?

Answers

The change in the internal energy of the system in kilojoules is 142 kJ.

The internal energy of a system is defined as the sum of work done by a system or work done on a system and heat released by the system or heat gained by a system. Internal energy is represented by the symbol U. It is presented in units of kilojoules.

Work done by the system is W.

W = (-37) kJ

The heat released by the system is U.

U = (-105) kJ

The change in the internal energy of the system in kJ is,

Change in internal energy = Heat + Work done

∆ U = Q + W

∆ U = (-105) + (-37)

∆ U = 142 kJ

Therefore, the change in the internal energy of the system in kilojoules is 142 kJ.

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To what speed must an electron be accelerated from rest for it to have a de broglie wavelength of 100pm? what accelerating potential difference is needed?

Answers

To express of an electron we have to figure out the relationship between momentum and wavelength:

λ= [tex]\frac{h}{p}[/tex]  =[tex]\frac{h}{mv}[/tex]

So, velocity of an electron will be:

v= me/λ[tex]e[/tex]h

​h= Planck's constant

[tex]m_{e}[/tex] = mass of the electron

Now we will see what is its value:

V= h/mcλ

[tex]\frac{6.626 .10^{-34}J.s}{(9.109.10^{-31}kg).(100.10^{-12m)} }\\ 7.27.10^{6} m.s^{-1}[/tex]

​Now, to express accelerating potential energy difference we will use kinetic energy and charge of electron

Kinetic energy: [tex]E_{K} =e_{E}[/tex]

But kinetic energy in terms of velocity is

:[tex]\frac{(9.109.10^{-31}kg).(7.27.10^{6}ms^{-1})^{2} }{2.(1.602.10^{-19} C)} \\=150.210^{-31} .10^{-31} .10^{12}.10^{19}V \\ = 1.502.10^{2}V[/tex]

​What is kinetic energy?Kinetic energy is a type of power that a moving object or particle possesses. An item accumulates kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force. A moving object or particle has kinetic energy, which relies on both its mass and its rate of motion.we can calculate kinetic energy by first determining the work done W by a force, F, in a straightforward example. Consider a force parallel to a surface pushing a box of mass mm across a distance D along that surface.

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On this position-time graph, what is the displacement between 5 s and 20 s

-50 m

-40 m

+40 m

+50 m

Answers

The displacement between 5 s and 20 s in the position-time grap is +40 m

What is displacement?

Displacement is defined as the distance travelled in a specific direction. It can be obtained mathematically as:

Displacement = Displacement 2 - Displcemrnt 1

With the above information, we can obtain the displacement. Details below.

From the question given above, we can obtain the displacement as follow:

Displacement 1 at 5 s = 10 mDisplacement 2 at 20 s= 50 mDisplacement =?

Displacement = Displacement 2 - Displcemrnt 1

Displacement = 50 - 10

Displacement = +40 m

Thus, the displacement is +40m

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Missing part:

See attached photo

Do ocean currents move cold water from the tropics to the poles where the water warms?

Answers

Answer: Large-scale surface ocean currents are driven by global wind systems that are fueled by energy from the sun. These currents transfer heat from the tropics to the polar regions, influencing local and global climate.

Explanation:

I hope this helped you some!

No. That would be silly.  The water in the tropics is the warmest, since the sun is most direct there.  

Any ocean current that takes water away from the tropics moves the water to cooler places, where the water cools off.  ESPECIALLY the poles, home of the coldest water on Earth.  ICE even !

4. In 1994, a human powered submarine was designed at Boca Raton, Florida. It
achieved a maximum speed of 3.06 m/s. Suppose this submarine starts from
rest and accelerates at 0.800 m/s² until it reaches maximum speed. i) How long
did it take and ii) what distance did it travel?

Answers

The correct answer is S = 28.802 m.

Unless driven to change its condition by an external force, a body stays in its state of rest or uniform motion along a straight line. According to the law, a force is a factor that has the power to alter an object's status. Newton uses the inertia of rest, the inertia of motion, and the inertia of direction to explain his first law of motion.

From Newtons 1st equation of motion

V = u+at

3.06 = 0+0.8[tex]t_1[/tex]

[tex]t_1[/tex] = 3.825 s

Submarine travels [tex]t_2[/tex]= 5s with const velocity

and then again [tex]t_2[/tex]=5s for slowing to strip during slow,

0 = 3.06 - a × 5

a = 0.612 m/[tex]s^2[/tex]

Total time =[tex]t_1 + t_2 + t_3[/tex]

T = 13.825 s

Now [tex]v^2= u^2[/tex]+2as

[tex]S_1[/tex]= (3.06[tex])^2[/tex]/2×0.8

[tex]S_1[/tex] = 5.852 m

[tex]S_2[/tex] = Ut

[tex]S_2[/tex] = 3.06 × 5

[tex]S_2[/tex] = 15.3 m

[tex]S_3[/tex] = 0 - (3.06[tex]) ^2[/tex]/-2 × 0.612

[tex]S_3[/tex] = 7.65 m

Total displacement

[tex]S = S_1+S_2+S_3[/tex]

S = 28.802 m

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john bought a bottled pickle with a metallic lid. However, he was not able to open it suggest a way with scientific reason to help her open the lid.​

Answers

Almost all metals expand when exposed to heat. So the metal cap of the jar will also expand in hot water and will be easily opened.

Two spots on a tlc plate have very similar rf values. could they be the same compound? describe a tlc method to determine whether they are the same or different?

Answers

Create a plate with three points of reference. On the two side points put the two compounds separately and in the middle one combine both compounds.

The Rf value of a substance is used to identify the properties of that compound. The Rf value of polar compounds is lower, while the Rf value of non-polar compounds is higher. Three lanes are the most prevalent method for assessing too close spots. Compound A is in lane 1. Compound B is in lane 3. Both spots are in lane 2. This is known as a co-spot. If the co-spot exhibits a 'snowman' effect whenever the TLC is run, it indicates that perhaps the spots are, in a real sense, different compounds which are extremely close together. You could also try changing the solvent system, yet co-spot always comes first.

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Please somebody help me with this project! It's due tomorrow and I'm a bit stuck with it! I'd really appreciate it if anyone is willing to help.

Mass (kg) Volume (L) Density (Kg/L) Substance
Block A
Block B
Block C
Block D
Block E

Densities of Various Materials
Material Density (kg/L)
Wood - 0.40
Apple - 0.64
Plastic - 0.70
Ice - 0.92
Water - 1.00
Aluminum - 2.70
Diamond - 3.53
Lead - 11.3
Gold - 19.3

Questions:
1) Which block has the greatest density?
2) Which block has the lowest density?
3) Submit your data table and identify the substance each block is made of.


I tried to match them, not sure if they're correct:
Answer:
Block A - 19.3 Kg/L
Block B - 0.64 Kg/L
Block C - 0.70 Kg/L
Block D - 0.917 Kg/L
Block E - 3.53 Kg/L

Answers

Block d hehehehe I’m so smart

A mass of 10 kg is dropped from a height of 20 m. ignoring air resistance, what is the maximum speed it achieves?

Answers

A mass of 10 kg is dropped from height of 20 m. ignoring air resistance, maximum speed it achieves is 20m/s.

What is the air resistance?

Here on Earth, we tend to take the air resistance (aka. “drag”) for granted. We just assume that when we throw a ball, launch an aircraft, deorbit a spacecraft, or fire a bullet from a gun, that act of it traveling through our atmosphere will naturally slow it down. But what is reason for this? Just how is air able to slow object down, whether it is in free-fall or in flight?

Because of our reliance on air travel, our enthusiasm for the space exploration, and our love of sports and making things airborne (including ourselves), understanding air resistance is key to understanding physics, and integral part of many scientific disciplines. As part of subdiscipline known as fluid dynamics, it applies to the fields of aerodynamics, hydrodynamics, astrophysics, and nuclear physics (to name a few).

By definition, the air resistance describes the forces that are in opposition to the relative motion of an object as it passes through the air. These drag forces act opposite to oncoming flow velocity, thus slowing the object down. Unlike other resistance the forces, drag depends directly on velocity, since it is the component of the net aerodynamic force acting opposite to the direction of the movement.

so,

PE = mgh = 10 kg x 10 m/s^2 x 20 m = 2000 J

KE = 1/2 mv^2

2000 J = 1/2 x 10 kg x v^2

4000 J = 10 v^2

400 = v^2

20 = v

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If a pipe delivers water at the rate of 63.9 gal/min, what is the rate in ft3/s?

Answers

The rate of water expressed in ft³/s is: 0.1423 ft³/s

To solve this problem, we have to do the conversion of units with the given information.

Information about the problem:

rate of water = 63.9 gal/minrate of water(ft³/s) = ?1 ft³ = 7.481 gal

By Converting the units from (gal/min) to (ft³/s), we get:

rate of water = 63.9 gal/min * 1 ft³/7.481 gal * 1 min/60 s

rate of water =0.1423 ft³/s

What is unit conversion?

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

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