A steadily flowing stream of water is funneled into a graduated cylinder for exactly 30 s, during which time 50 ml is collected. what is the volumetric flow rate of the stream? the mass flow rate?

Answer:there is the scetch in the picture

Explanation:

The acceleration of the particle will be 0.

We have position function of a particle is a linear function of time.

We have to determine its acceleration.

The rate of change of velocity with respect to time is called Acceleration.

According to the question -

Assume that the linear function of position of a particle is as follows -

x = mt + c

Where x is displacement of particle and t is time.

Now, Differentiating with respect time, we get velocity -

[tex]$\frac{dx}{dt} = \frac{d}{dt}\;(mt+c) = m[/tex]

Differentiating again with respect time, we get acceleration -

[tex]$\frac{d^{2} x}{dt^{2} } = \frac{d}{dt}\;m = 0[/tex]

Hence, the acceleration of the particle will be 0.

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The ratio of deprotonated to protonated histidines is [tex]10^{6.4 - pK_{a} }[/tex] : 1

We know that,

pH = p[tex]K_{a}[/tex] + ( log [ [tex]A^{-1}[/tex] ] / [ HA ] )

where,

[ [tex]A^{-1}[/tex] ] represents deprotonated form

[ HA ] represents protonated form

Given that,

pH = 6.4

pH = p[tex]K_{a}[/tex] + ( log [ [tex]A^{-1}[/tex] ] / [ HA ] )

6.4 = p[tex]K_{a}[/tex] + ( log [ [tex]A^{-1}[/tex] ] / [ HA ] )

[ [tex]A^{-1}[/tex] ] / [ HA ] = [tex]10^{6.4 - pK_{a} }[/tex]

The relationship between pH and p[tex]K_{a}[/tex] shown above is known as Henderson-Hasselbach equation

Therefore, the ratio of deprotonated to protonated histidines is [tex]10^{6.4 - pK_{a} }[/tex] : 1

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If the time interval during which it falls is cut in half, the distance it fall will be decreased by a factor of 4.

When there is an uniform acceleration,

s = vt - 1/2 a[tex]t^{2}[/tex]

where,

s = Displacement or distance travelled

v = Final velocity ( Here v = 0 )

a = Acceleration

t = Time

[tex]s_{1}[/tex] = - 1/2 a[tex]t_{1} ^{2}[/tex]

[tex]s_{2}[/tex] = - 1/2 a[tex]t_{2} ^{2}[/tex]

Given that,

[tex]t_{2}[/tex] = [tex]t_{1}[/tex] / 2

[tex]t_{1}[/tex] = 2 [tex]t_{2}[/tex]

Rate of change of displacement [tex]s_{2}[/tex] / [tex]s_{1}[/tex] = ( - 1/2 a[tex]t_{2} ^{2}[/tex] ) / ( - 1/2 a[tex]t_{1} ^{2}[/tex] )

                                                                = [tex]t_{2} ^{2}[/tex] / 4[tex]t_{2} ^{2}[/tex]

                                                            [tex]s_{2}[/tex] = [tex]s_{1}[/tex] / 4

The equation s = vt - 1/2 a[tex]t^{2}[/tex] is an equation of motion. Equations of motion describes a physical system's motion with respect to time.

Therefore, If the time interval during which it falls is cut in half, the distance it fall will be decreased by a factor of 4

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Because,

The mechanism that starts, directs, and sustains goal-oriented behaviour is known as motivation. For instance, it spurs you on to get that job promotion or helps you maintain your weight loss. Simply defined, motivation encourages you to take steps that advance your goals.

The word "motivation" is widely used in ordinary speech to refer to the factors influencing someone's actions. It is what spurs people into taking certain actions. The biological, emotional, social, and cognitive variables that drive human behaviour are all included in motivation.

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According to the newton's law of viscosity, the proportional constant that satisfies the relation between the shear strain rate and the velocity gradient is the Viscosity coefficient.

The fluid's resistance to flowing is measured by the coefficient of viscosity. The viscosity of a gas is often lower than that of a liquid. Fluidity is the opposite of viscosity. A liquid with a high viscosity thus has a poor fluidity. There are two forms of viscosity that are frequently used: dynamic viscosity and kinematic viscosity. Dynamic viscosity and kinematic viscosity are connected by the equation dynamic viscosity = kinematic viscosity, where is the density of the fluid. Centipoise is the definition of dynamic viscosity. Kinematic viscosity is measured in centistoke, whereas fluid density is measured in g/cc. One centistoke is determined by dividing one centipoise by one g/cc. Darcy's law uses dynamic viscosity to determine the rate of fluid flow in porous material.

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The answer for sub question A) calculate the percent uncertainty in the distance is 0.059%.

The answer for sub question B)  calculate the uncertainty in the elapsed time is 9,012 s

The answer for sub question C) what is the average speed in meters per second is 4.681 m/s

The answer for sub question D) what is the uncertainty in the average speed is 0.0032 m/s

To calculate the percentage of uncertainty of distance we have uncertainty = 25 m and distance = 42.188 km which is 42188 m.

Now [tex]\frac{25}{42188}[/tex] x 100% = 0.059%

To calculate time elapsed, we have the following data:

2hr which is 7200 s, 30 min which is 1800 s and 12 s

Adding these all up, we get 9012 s.

The average speed in m/s is calculated by 42188 m/ 9012 s = 4.681 m/s

The uncertainty in average speed is calculated by 4.681 m/s x [tex]\frac{0.059 + 0.01}{100}[/tex]

= 0.0032 m/s

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The complete question is A marathon runner completes a 42.188 km course in 2 h , 30 min, and 12 s . There is an uncertainty of 25 m in the distance traveled and an uncertainty of 1 s in the elapsed time. (a) Calculate the percent uncertainty in the distance. (b) Calculate the uncertainty in the elapsed time. (c) What is the average speed in meters per second? (d) What is the uncertainty in the average speed?

At 60 mph (26.7 m/s), Johnny Hotfoot slams on the brakes of his car and skids to a stop in 4 s. (A) How fast is the car slowing down? (b) The extent of the skid.

If the car had been traveling at 40.0 m/s, it would have slid 27.2 m.

The frictional force opposes the linear force pulling on the automobile. Consequently, m is the vehicle's mass, an is its acceleration, and c is its coefficient of friction.

The normal force is R.

given the aforementioned variables

Find the length of the skid if the vehicle had been traveling at 40.0 m/s.

The car would have skidded 27.2 meters if it had been driving at 40.0 meters per second.

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The power that is absorbed or supplied by the network elements is 32 W

The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.

Looking at diagram (a), we will analyze each element separately.

P(2A) = -20(2)

(Negative because the current is entering the negative terminal)

P(2A) = -40W

Which means 40W of power is supplied by the 2A element.

P1 = (6)(2)

P1 = 12W

Therefore, 12W of power is absorbed by element 1.

P(14v) = (14)(2)

P(14v) = 28W

Thus, 28W are absorbed by the 14v element.

We will now look at diagram (b).

P(4A) = (16)(−4)

P(4A) = −64W

Which means 64W are supplied by the 4A element.

P1 = (8)(4)

P1 = 32W

P1 = 32W

Therefore, 32W are absorbed by element 1.

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The frequency of the mice with brown fur is 0.77.

Using the Hardy-Weinberg Principle, we can find out the frequency of occurrence of alleles of a gene or a locus.

The algebraic equation for Hardy-Weinberg Principle is,

p^2 + 2pq + q^2 = 1

Here, p^2 represents the frequency of the dominant allele

q^2 represents the frequency of the recessive allele

2pq represents the frequency of heterozygotes

Out of 200 mice, 120 have brown fur and brown fur is the dominant allele.

Thus, the frequency of brown fur is

p^2 = 120/200 = 0.6

p = 0.77

Hence, the frequency of the mice with brown fur is 0.77.

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Strictly speaking, more fuel is consumed by your car if the air conditioner, headlights, or even a radio is turned on. this statement is true.

Fuel economy is the opposite of fuel consumption. It is the quantity of fuel used to travel a specific distance. In the United States, it is measured in gallons for every 100 miles, while in Europe and other parts of the world, it is measured in litres for every 100 kilometres.

To determine your car's fuel consumption, divide mileage by fuel consumption. You can see here how many miles per gallon of petrol you travelled. For instance, if you filled up your tank with 12 gallons of gas and drove 335 miles before refuelling, your fuel consumption would be 27.9 mpg (335 miles / 12 gallons = 27.9 mpg).

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A particular automobile with an initial speed of 65 km/h will come to 120 km/h in 8.49 s

The formula for Uniformly varied rectilinear motion (UVRM) and procedure we will use to solve this exercise is:

t = (vf - vi) /a

Where:

Information about the problem:

By converting the velocity from km/h to m/s, we get:

65 km/h * (1000 m / 1 km) * (1 h / 3600 s) = 18.056 m/s

120 km/h * (1000 m / 1 km) * (1 h / 3600 s) = 33.33 m/s

Applying the time formula, we have:

t = (vf - vi) /a

t = (33.33 m/s - 18.056 m/s) / 1.8 m/s2

t = 15.274 m/s /  1.8 m/s2

t =  8.49 s

It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2

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Julian is having trouble coping with stress and setting goals. He is most likely struggling with emotional heath.

How we feel and think affects our emotional well-being. It is about how we feel about ourselves, how we handle difficult situations, and how we acknowledge both our own and other people's feelings.

This comprises resilience, self-acceptance, self-esteem, and the capacity to control intense emotions. Social. Friends are crucial because they make our life more enjoyable, companionable, and supportive.

Emotional stability is a state of calmness and emotional control. Resilience is the capacity to handle life's hardships. optimism: having a good outlook on life and the future. Self-esteem is the attitude you have toward oneself.

Depression, anxiety, stress, having a negative body image, grieving a loss, becoming a new parent, and other significant life changes can all have an impact on your mental and emotional well-being.

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Increased lamp voltage is achieved by turning the light intensity dial.

To enlarge the diameter of the hole and let more light through the slide, the iris diaphragm was modified.

Condenser: Position it higher and closer to the slide's bottom to better direct light to the centre of the slide.

Utilize the brightness adjustment knob to change the brightness. Turn the brightness control knob while looking through the eyepieces to make sure there is no glare in the field of view.

Use a daylight balancing filter if your compound microscope has a certain sort of illumination. It typically rests directly on top of the luminator or in a filter holder above the light. This filter is blue.

The daylight balancing filter will correct the colour temperature and produce a higher-quality image if your microscope is lighted by tungsten or halogen (and a better colour image). This blue filter is not necessary if your microscope is an LED.

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Answer: 216000

Explanation:

60 seconds in 1 hour

24 hours in a day = 1440

148 hours in 7 days

A soft drink is a homogeneous mixture.

All of the ingredients in a homogeneous mixture are dispersed equally, and in soft drinks, ingredients including sugar, carbon dioxide, and water combine to produce a single phase. A soft drink is therefore an uniform composition.

A mixture could be homogeneous or heterogeneous.

A mixture refers to a combination of two or more substances that are not chemically combined together. They may be solids, liquids or gases.

A mixture may be composed of substances in the same phase or different phases. If substances are combined in the same phase to form a mixture then the mixture is homogeneous. If substances in different phases combine to give a mixture then the mixture is heterogeneous.

Examples of homogeneous mixtures are salt and water solutions while examples of heterogeneous mixtures are sand and water as well as oil and water.

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The distance of the point from the axis of rotation of the second hand is 9.1 m.

The point from the axis of rotation of the second hand is the radius of the rotation of the clock.

a = v²/r

v² = ar

v = √ar

V = [tex]\frac{2\pi r}{T}[/tex]

√ar = [tex]\frac{2\pi r}{T}[/tex]

ar = [tex]\frac{4\pi^2 r^2}{T^2}[/tex]

a = [tex]\frac{4\pi^2r}{T^2}[/tex]

r = [tex]\frac{aT^2}{4\pi^2}[/tex]

r = (0.1 x 60²)/(4π²)

r = 9.1 m

Newton’s second law states that when a body is subjected to an external force, it begins to accelerate.

The only thing that constitutes acceleration is a change in an object’s velocity over time. It carries both magnitude and direction as a vector quantity.

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A message to travel from earth to a spacecraft at mars as its closest to earth is about 3.11 minutes.

To find the time, the given values are,

Distance = 56 million kilometers.

Here,

A message needs to be traveled to mars from earth and the distance between Earth and Mars (given) s = 56 million km

Speed of light = 3.00—10^5 km/ sec

As We know Velocity,

Velocity = distance / time

=> time = distance / velocity

Time taken t = 56 million km / 3.00—10^5

= 56 x 10^6 / 3 x 10^5

= 186.666 sec

Time taken t = 3.11 min.

So, the message to travel from earth to a spacecraft at mars as its closest to earth is about 3.11 minutes.

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The direction of acceleration experienced by a rider will be toward the center of the circle.

Centripetal acceleration is the acceleration experience by a body moving in a circular path which is always toward the center of the circle.

Centripetal acceleration a = v² / r

Given that swings of the amusement park rotate with a constant speed. The velocity of the swing will not be constant because of the different directions the swing velocity will experience.

The direction of acceleration experienced by a rider will be centripetal acceleration which will always in the direction toward the center.

Therefore, the direction of acceleration experienced by a rider will be toward the center of the circle.

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v₀= 2.83478394238 is its initial velocity v₀ as it leaves the ground.

The rate at which an object's position changes when observed from a specific point of view and when measured against a specific unit of time is known as its velocity.

The equation v = s/t denotes the vector variable velocity (v), which quantifies movement (or change in location, s), over change in time (t).. Speed (or rate, r) is a scalar number that represents the amount of time (t) spent traveling in relation to the amount of distance (d), as shown by the equation r = d/t.

Maximum Height h= 0.410 m

acceleration g= 9.80 m/s² down

let initial speed is Vo.

At maximum height final speed of flea is zero.

From kinematic equation,

v² = v₀² + 2as

0² = v₀² - 2gh

v₀² = 2gh

v₀= [tex]\sqrt{2gh}[/tex]

v₀= [tex]\sqrt{2*9.8*0.41}[/tex]

v₀= 2.83478394238.

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Explanation:

hey! what's up dude

the answer of this will be 1. 1 sec

2. 2sec

3. 10 m/s

hope you find help

now the reson for this will be

let's look in 1st part

we will use v=u+at

where v will be zero at highest pont u is 10m/s

we can take g as 10 or 9.8

so

0=10-10t

so it becomes

-10/-10=t

so 1 sec will be the answer

in 2nd part same time will be taken to come back so total time will be 2 sec

3rd part we can use v=u+at

where we have to find v, u=10 g=-10 and t=2 sec

now v=10-20 so v= -10 m/s

since in question it's asking abaout speed and as speed is a scaler quantity so answer will be mode of -10 so it becomes 10m/s

hope it's help you..

The minimum diameter of a steel wire is 1.41mm

STRESS : The restoring force per unit area. unit of stress is N/m²

     It is denoted by σ

      σ = F/ A

Where σ = stress

F = force

A = area

force = ma

Area of a steel wire is πr²

2r = d

so area becomes

π(d/2)² =πd²/4

here , mass = 80kg

elastic limit = 5.0×10⁸kg

using these values

σ = mg/ πr²

5×10⁸ = 80×10³ × 9.8/ π*d²/4

π *d²/4 = 784 ×10³ /  5×10⁸

           = 156.8 ×10⁻⁵

   d² = 19.9×10⁻⁵

   d = 1.41 mm

The minimum diameter of a steel wire is 1.41mm

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When modest amounts of strong acids or bases are added to a weak acid (or base), it forms a solution known as a buffer that resists pH changes.

The ammonium buffer, which is an aqueous solution of NH3 (ammonia) and NH4Cl (ammonium chloride), mixed in equal molar ratios, is a typical buffer, as the question implies. This creates an alkaline buffer with a pH of roughly 9.20, or higher than 7. It's interesting to note that as long as your concentrations stay the same, nothing else matters. Since ammonia is a weak base, the equilibrium will be located far to the left:

NH4+(aq) + OH NH3(aq) + H2O(l) (aq)

Additionally, a soluble salt called ammonium chloride will also be present in solution.

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Find the total x - component of the electric field at that point and get the resultant or the algebraic sum.

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The angle in radians is 1/60.

                  [tex]\begin{aligned}\\\small s &= r\theta \\\\\small 1\,cm &=\small 60\,cm\times \theta \\\\\small \theta &=\small \frac{1}{60}\,\text{radians}\end{aligned}[/tex]

a relatively recent volcanic island with a wide variety of vegetation.

Adaptive radiations can be caused by intrinsic variables (also known as "important adaptive innovations") that improve the availability of niches to a diverging lineage, or by external factors (such as the creation of new ecological opportunities through the emergence of fresh environments). existence of populations of recently diverged closely related species. The first half of this century's naturalists believed that three ecological processes led to adaptive radiation: phenotypic differentiation of populations through resource-based divergent natural selection, phenotypic differentiation through resource competition (ecological opportunity), and phenotypic differentiation through divergent character.

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