[tex]\frac{25}{24}J[/tex]work is needed to stretch the spring from 35 cm to 40 cm.
Spring's Work
According to Hooke's Law, which may be used to calculate the amount of work needed to compress or expand the spring, [tex]F(x)=kx,[/tex] where [tex]F(x)[/tex] denotes the applied force, [tex]k[/tex] the spring constant, and [tex]x[/tex] the length of the spring that has been compressed or stretched from its normal length.
[tex]W=\int_a^b F(x) d x[/tex]
The following equation can be used to analyze the work done on the spring because work is the force exerted over a specific distance.
The integral is calculated using the information that it takes [tex]2J[/tex]of labor to pull a spring from a natural length of [tex]30[/tex] cm to [tex]40[/tex] cm, a difference of [tex]12[/tex] cm or [tex]0.12[/tex] cm.
[tex]\begin{aligned}W=\int_a^b F(x) d x &=\int_a^b k x d x & \\2 &=\int_0^{0.12} k x d x & \\2 &=\left.\frac{k x^2}{2}\right|_0 ^{0.12} & {[\text { Integrate] }} \\2 &=\frac{9}{1250} k & \\k &=\frac{2500}{9} & {[\text { Solve for } \mathrm{k}] }\end{aligned}[/tex]
(a) We must determine the amount of labor necessary to lengthen the spring from [tex]35[/tex] cm to [tex]45[/tex] cm, instead of starting with its natural length. Accordingly, the spring is extended from [tex]5[/tex] cm ([tex]0.05[/tex]cm) to [tex]10[/tex]cm ([tex]0.10 cm[/tex]) from its native length.
[tex]W=\int_a^b F(x) d x & =\int_a^b k x d x & \\ &[/tex]
[tex]=\int_{0.05}^{0.10} \frac{2500 x}{9} d x & \\[/tex]
[tex]= & \frac{2500}{9} \cdot \frac{3}{800} d x & \text { [Integrate] } \\ &[/tex]
[tex]=\frac{25}{24} & \text { [Simplify] }[/tex]
As a result, stretching the spring requires [tex]\frac{25}{24}J[/tex]works.
A force of 30 N will stretch the spring how far beyond its natural length?The spring will be stretched with a force of [tex]30 N[/tex], thus the next task is to calculate how far the spring will be stretched.
[tex]\begin{aligned}F(x) &=k x \\30 &=\frac{2500 x}{9} \\\Rightarrow x &=\frac{30 \cdot 9}{2500} \\x &=\frac{27}{250} \\x &=0.108 \text { meters }\end{aligned}[/tex]
The spring will therefore be lengthened by a distance of [tex]0.108m[/tex].
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A) an electron has an initial speed of 226000 m/s. if it undergoes an acceleration of 4.0 x 1014 m/s2, how long will it take to reach a speed of 781000 m/s? answer in units of s.
The final speed is found to be 1.3 × 10⁻⁹ seconds.
Initial speed -226000 m/s
Acceleration - 4.0 x 1014 m/s2,
Speed - 781000 m/s
What is Acceleration?Acceleration is a rate of change of velocity with respect to time with respect to direction and speed.A point or an object moving in a straight line is accelerated if it speeds up or slows down.Acceleration formula can be written as,a = (v - u ) / t m/s²
As we have to find the time taken, the formula can be altered as,
t = v - u / a
where, t - time taken to reach a final speed
v - final velocity
u - initial velocity
a - acceleration.
Substituting all the given values,
[tex]t =\frac{781000 - 226000} {4* 1014}[/tex]
= 1.3875 × 10⁻⁹ seconds.
So, taken to reach the final speed is found to be 1.3 × 10⁻⁹ seconds.
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The common element among measures of speed, rate, and latency is _________. group of answer choices performance frequency time reactivity
The common element among measures of speed, rate, and latency is time.
What is time ?The only science that specifically studies time is physics, but even physicists acknowledge that time is one of the most challenging aspects of our universe to comprehend. However, time is typically seen as an ontologically "fundamental" or primary idea and is not composed of or dependent upon anything else, even in the most advanced and sophisticated physical models.
Time is typically defined by its measurement in the sciences; it is only what a clock says. Since physics in particular frequently requires extremely precise time measurements, time must be regarded as an infinitely divisible linear continuum and not as a quantized quantity (i.e. composed of discrete and indivisible units). Time can now be measured accurately to about 1015 seconds thanks to contemporary atomic time standards like TAI and UTC and extremely precise atomic clocks. This is equivalent to about 1 second of error in roughly 30 million years.
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What would happen to the organisms if the ice was more dense?
Answer:
If solid ice were denser than water, it would sink. In the most extreme conditions, there would be no way to melt the ice in deep lakes and oceans, which would thicken from the bottom to the surface, forming permanently frozen bodies of ice and disrupting Earth's water cycle.
Explanation:
This ice layer insulates the water below it, allowing it to stay liquid, which allows the life within it to survive. If ice sank, the liquid water on top would also freeze and sink, until all the liquid water became frozen. Water is less dense as a solid, than as a liquid, which is why ice floats.
16. How many coulombs of charge pass through a lamp in 1. 2 min if the current is constant at 250 ma?
According to the current, the charge is 18 coulombs.
We need to know about current to solve this problem. Current can be defined as the flowrate of charge through the medium. It can be determined as
I = Q / t
where I is current, Q is charge and t is time.
From the question above, we know that
I = 250 mA = 0.25 A
t = 1.2 min = 72 seconds
By substituting the given parameters, we can calculate the charge
I = Q / t
0.25 = Q / 72
Q = 18 coulombs
Hence, the charge is 18 coulombs.
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Why are there flat spots on
heating curves of substances like
water?
Sound that starts at its source, then bounces off walls, the ceiling and objects within a room before acting on a microphone or an eardrum is known as:_________
Reflection is the process by which sound leaves its source and travels through a room's objects, walls, and ceiling before reaching a microphone or an eardrum.
What do you mean by ceiling?The room's internal overhead lining The ceiling is very high. material used to cover a room's roof or walls. something akin to a towering canopy, an overhanging shelter, or a starry sky. Using a system of timber joists and beams that span the ceiling's length and width.
What is the function of the ceiling?Ceilings assist in enclosing and dividing spaces, controlling the diffusion of light and sound inside a space, and preventing the transfer of sound across spaces.
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The demand function for product x is given by q subscript x superscript d equals 360 minus 7 p subscript x. how much consumer surplus do consumers receive when p subscript x equals 11?
The demand function for product x is given by q subscript x superscript d equals 360 minus 7 p subscript, consumer surplus do consumers receive. increase by 35,000 units of the good, when p subscript x equals 11.
The sum of the patron surplus and producer surplus is the total gains from trade. Consumer surplus consumers measures the benefit to buyers of participating in a very market.
It's measured because the amount a buyer is willing to purchase is decent minus the number a buyer actually pays for it. The total surplus in an exceedingly market consumers could be a measure of the overall wellbeing of all participants during a market.
Consumer surplus is the difference between willingness to get hold of an honest and also the price that customers actually purchase it. Consumer surplus is an economic measurement to calculate the benefit (i.e., surplus) of what consumers are willing to obtain an honest or service versus its value. The patron surplus formula is predicated on a theory of utility.
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A badger is trying to cross the street. Its velocity vvv as a function of time ttt is given in the graph below where rightwards is the positive velocity direction. A set of black coordinate axes are given with the vertical axis labeled "v (m/s)" and the horizontal axes labeled "t (s)". A curve that relates v to t is shown in blue. It begins with a straight line of endpoints (0,0) and (1,5). This first line is connected to a second line with endpoints (1,5) and (3,-5). This second line is then connected to a third line of endpoints (3,-5) and (6,-5). A set of black coordinate axes are given with the vertical axis labeled "v (m/s)" and the horizontal axes labeled "t (s)". A curve that relates v to t is shown in blue. It begins with a straight line of endpoints (0,0) and (1,5). This first line is connected to a second line with endpoints (1,5) and (3,-5). This second line is then connected to a third line of endpoints (3,-5) and (6,-5). What is the badger's displacement \Delta xΔxdelta, x from t=2\,\text st=2st, equals, 2, start text, s, end text to 3\,\text s3s3, start text, s, end text? Answer with two significant digits. \text mm
The badgers displacement from its position at point t = 2, to its position at point t = 3 is 25 meters
Which method can be used to calculate the displacement of the badger?The points on the graph are;
(0, 0), (1, 5), (3, -5), (6, -5)
The point t = 2 is between (1, 5) and (3, -5)
The slope, m, of the line containing the point t = 2 is therefore;
m = (-5 - 5)/(3 - 1) = -5The equation of the line is therefore;
v - 5 = -5•(t - 1)
v = -5•t + 5 + 5 = -5•t + 10
v = -5•t + 10
At t = 2, we have;
v = -5×2 + 10 = 0
The velocity at t = 2 is 0 m/s
The value of the acceleration is the same as the slope, m = a = -5
Given that the initial velocity at t = 2 is 0, we have;
∆x = u•t + 0.5•a•t²
At t = 3, the time of travel from the time t = 2 is 1 seconds, which gives;
∆x = 0×5 + 0.5×(-5)×1² = -2.5
The distance traveled between points, t = 2 and t = 3 is ∆x = -2.5, which is 2.5 meters in the direction opposite to the initial direction.
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Suppose that the marginal propensity to save (mps) equals 0.2. the value of the multiplier would be:_________
0.2 is the value of the marginal propensity to save (mps). The multiplier's value would be 5.
Briefing:
Multiplier = 1 / marginal saving propensity (MPS)
= 1 / 0.2
= 5.
What does marginal propensity mean?The percentage of an overall salary increase that a customer spends on purchasing goods and services rather than saving is known as the marginal propensity to consume (MPC) in economics.
How is marginal propensity determined?By dividing the change in consumer spending (C) by the change in disposable income (I), the MPC formula is created. Formula for the marginal propensity to consume is (C1 - C0) / (I1 - I0), where C0 is the initial amount spent by consumers.
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as it passes over grand bahama island, the eye of a hurricane is moving in a direction 30◦ north of west with a speed of 55 km/h. three hours later, it shifts due north, and its speed slows to 81 km/h. how far from grand bahama is the eye 4.50 h after it passes over the island? answer in units of km.
Answer:
249 km
Explanation:
and its speed slows to 81 km/h. ??? <===== Isn't slower...
for three hours it travels 55 km/h for 1.5 hours it travels at 81 km/hr
Distance North 3 * 55 sin 30 + 81 * 1.5 km = 204 km
Distance West 3 * 55 cos 30 = 142.9 km
Use pythag theorem to find displacement
d^2 = 204^2 + 142.9 ^2 shows d = 249 km
A solar eclipse that occurs when the moons umbra does not reach earths surface is called?
A solar eclipse that occurs when the moon's umbra does not reach earths surface is called Annular Solar Eclipse.
An Annular Solar Eclipse is a phenomenon during solar eclipse in which Moon covers the center part of Sun when seen from Earth. But the Sun's outer edges are visible. This looks like a Ring of fire which is called as an Annulus.
An Umbra is a point in a shadow from which you cannot see the light source which formed the shadow.
Therefore, a solar eclipse that occurs when the moons umbra does not reach earths surface is called Annular Solar Eclipse
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A toy car is given an initial velocity of 5.0 m/s east and experiences a constant acceleration of 2.0 m/s2 east. what is the final velocity after 6.0 s?
A toy car is given an initial velocity of 5.0 m/s east and experiences a constant acceleration of 2.0 m/s2 east. As a result, the toy car's final velocity is 17m/s
How do you determine overall velocity?Velocity (v) is a vector quantity that represents displacement (or change in position, s) over time (t) via the equation v = s/t. Speed (or rate, r) is a scalar number that represents the distance travelled (d) divided by the change in time (t) by the equation r = d/t.
When an automobile begins at rest, its initial velocity is zero. When a projectile is launched into space, its initial velocity will be greater than zero. When a car comes to a halt after using the brakes, the starting velocity is greater than zero, but the end velocity is zero.
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Five particles are shot from the left into a region that contains a uniform electric field. The numbered lines show the paths taken by the five particles. A negatively charged particle with a charge –3q follows path 2 while it moves through this field. Do not consider any effects due to gravity. In which direction does the electric field point?.
Five particles are shot from the left into a region that contains a uniform electric field. A negatively charged particle with a charge –3q follows path 2 while it moves through this field. The electric field point towards the bottom of the page.
What are electric fields?An electric field is a physical field around a charged particle or object which has the ability to surround electrically charged particles and exerts force on all other charged particles that are present in the field.
This force exerted upon them is either attracting or repelling them. This electric field also refers to as the physical field for a system of charged particles.
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When bill butcher of port city brews discusses shelf space and the way that a merger could increase the leverage potential of large brewers, he is discussing which competitive force?
He is discussing Bargaining Power of Buyers competitive force.
What do you understand by leverage?
The employment of various financial instruments or borrowed cash, or leverage, is an investing strategy that aims to improve an investment's potential return. The level of debt a company utilizes to finance its assets is another definition of leverage.
It offers a range of funding options so that the company can reach its desired earnings. Leverage is a crucial investing strategy because it enables businesses to establish a ceiling for the growth of their operations.
Leverage can be used, for instance, to support financially a new business. Purchasing fixed assets or borrowing money in the form of a loan from another business or person can serve as examples of leverage.
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A student investigated how different coloured light was refracted by glass.
The student aimed rays of different coloured light at a glass block.
She measured the angle of refraction for each colour.
Give two variables that the student should control.
Two variables the student should control in the experiment are:
amount of lightthe angle of incidence of the incident light.What are variables in an experiment?Variables in an experiment refers to those factors which can be changed by the researcher and these changes in these variables will result in changes in the result of the experiment.
There are three types of variables in an experiment and they are:
Independent variable: this variable does is changed by the researcher and results in changes in the variable being tested.
Dependent variable: this is the variable being tested and is affected by changes in the independent variable.
Control or constant variable : this variable is kept constant in the experiment.
Considering the investigation by the student:
the student investigated how different colored light was refracted by glassthe student aimed rays of different colored light at a glass block measured the angle of refraction for each colorTwo variables the student should control are:
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Consider the surface with parametric equations .
a) find the equation of the tangent plane at . .
b) find the surface area under the restriction
There are two ways to express the tangent plane equation. Given that it is the sum of the two distinct tangent vectors, its parametric equation is r=r0+sru+trv.
What does the parametric surface in calculus mean?A surface in Euclidean space is considered to be parametric if it can be described by a parametric equation with two variables. Parametric representation is another reasonably general technique for describing a surface in addition to implicit representation.
On the other hand, tangent planes to a surface are planes that are "parallel" to the surface at the point where they barely touch it. Remember that this provides us with a point on the The tangent plane equation can be written in two different ways. The following point emerges from the surface and tangent plane meeting at (x0,y0):
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A solution is made by mixing 11.g of water and 72.g of acetic acid hch3co2. calculate the mole fraction of water in this solution. round your answer to 2 significant digits.
The Mole fraction of Water in this solution is 0.34
We know that,
Mole Fraction of Water = No. of moles of Water / Total number of moles of the solution
No. of moles = Mass / Molar mass
Given that,
Mass of Water = 11g
Mass of Acetic acid = 72g
Molar mass of Water = 18.015 g/mol
Molar mass of Acetic acid = 60.052 g/mol
No. of moles of Water= 11 / 18.015= 0.611 moles
No. of moles of Acetic acid = 72 / 60.052= 1.199 moles
Total no. of moles = 0.611+ 1.199 = 1.81 moles
Mole fraction of chloroform = 0.611 / 1.81 = 0.338
In a solution containing at least 2 components, the number of moles of one component divided by total number of moles in that solution is called Mole fraction.
Therefore, the Mole fraction of Water in this solution is 0.34
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A thermometer that consistently measures five degrees cooler than the actual temperature is:________
A thermometer that consistently measures five degrees cooler than the actual temperature is reliable but not valid.
What is a thermometer?A thermometer is a device used to measure temperature or a temperature gradient (the degree of hotness or coldness of an object). A thermometer is made up of two essential parts: a temperature sensor that adapts to changes in temperature (such the bulb in a mercury-in-glass thermometer or the pyrometric sensor in an infrared thermometer), and a means to convert this change into a numerical value. In order to monitor processes, thermometers are frequently employed in technology, industry, meteorology, medicine, and scientific study.
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Why must the nurse check the flow rate after changing the gown of a patient who is receiving intravenous fluids infused by gravity?
The nurse will check the flow rate of the infusion after a gown change because handling the intravenous tubing and container can disrupt the flow rate.
What is intravenous fluids ?Intravenous fluids, sometimes abbreviated as "IV fluids," are liquids that are administered to replace water, sugar, and salt that you may need if you're ill or having surgery and are unable to eat or drink regularly. Through a drip, IV fluids are administered directly into a vein.
Examples include D5W, which is dextrose (sugar) in water, and normal saline, which is salt in water. Lactated Ringer's is another illustration, which includes salt, chloride, potassium, calcium, and lactate. It is employed for forceful fluid replacement.Learn more about Intravenous fluid here:
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Calculate the majority and minority carrier concentration in silicon at t=300k. if (a) na = 1018 cm-3 (b) nd = 5*1016 cm-3
Majority carries electron concentration n₀=225 cm⁻³
Briefing:At= 300k ni= 1.5×10¹⁶ cm⁻³
Given na= 10¹⁸ cm⁻³
as Na>>ni the hole concentration is,
P₀= Na= 10¹⁸ cm⁻³
Therefore majority carries of the hole concentration is
P°= 10¹⁸ cm⁻³
At equilibrium,
P₀n₀= ni²
n₀= ni²/P₀= (1.5×10¹⁰)²/10¹⁸= 225×cm⁻³
n₀= 225 cm⁻³
Majority carries electron concentration n₀=225 cm⁻³.
Definition of concentration:All that noise is interfering with my focus since concentration is defined as the act or process of concentrating as well as the state of being concentrate a focus within a major or a major itself The student decided to concentrate in law.
What are the 3 types of concentration?Percent (by mass) Molarity.Molality.To know more about Concentration visit:
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In a 5.00 km race, a runner runs at a steady 3.0 m/s. what is their time for the race?
The runner that runs in a 5.00 km race at a steady 3.0 m/s takes 27.78 min to finish the race
The formula and procedure we will use to solve this problem is:
v = x/t
Where:
x = distancet = timev = velocityInformation about the problem:
x = 5.00 km v =3.0 m/st = ?By converting the distance units from (km) to (m) we have:
5.00 km * (1000 m / 1 km) = 5000 m
Applying the velocity formula and isolating the time, we get:
v = x/t
t = x/v
t = 5000 m / 3.0 m/s
t = 1666.67 s
By converting the time units from (s) to (min) we have:
1666.67 s * (1 min / 60 s) = 27.78 min
What is velocity?It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).
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physics.. pls answerr
a ball is thrown up with a velocity of 20m/s. find the time it takes to reach the maximum height and the distance covered?
Answer:
the ball will travel for 2 seconds and complete a distance of 20 metres upwards.
Explanation:
v = final velocity
u = initial velocity
a = acceleration
t = time
s = distance
In your question, the initial velocity is given as 20m/s , i.e., u=20m/s ,
the final velocity that the ball can achieve at the maximum height is 0m/s
, hence, v=0m/s .
Since the only first that cause the acceleration is gravity, a is taken as g where g is acceleration due to gravity, and had a value of 9.81m/s2 . But for simplicity, we can take the value of a to be 10m/s2 , so a=10m/s2 . Now, we need to find, what's s and t.
Note: Since the ball is thrown upwards, which is against the force of gravity (gravity always acts downwards), we need take the value of a (in this case, g) as −10m/s2 .
Using the first equation,
v=u+at
0=20−10t
10t=20
t=2
Using the third equation,
v2=u2+2as
02=202+2×(−10)×s
20s=400
s=20
Hence, the ball will travel for 2 seconds and complete a distance of 20 metres upwards.
At what point in an acid-base titration are equivalent quantities of hydronium ions and hydroxide ions present?
Answer: Equivalence Point
Explanation:
An Acid-Base Titration is a titration carried out to determine the strength or concentration of an acid or a base by neutralizing it with a standard solution of an acid/base of known concentration.
At equivalence point in an acid-base titration the moles of base become equal to the moles of acid. This implies that , at this point of the titration the amount of titrant (standard solution of acid/base) added is just enough to neutralize the analyte (acid/base whose strength has to be determined).
The progress of these reactions are kept track of by pH indicators like phenolphthalein or methyl red.
At equivalence point, only the salt and water exist.
The following titration curve in the image shows the equivalence point of an acid-base titration.
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ice ages have occurred at several times during earth's history. what is an ice age, and how does an ice age affect the land surface and the oceans?
I have to get it done right now.. it is due today
Lamar walks 20 m to the west, and then 20 m to the east. it takes him 40 seconds to do this. what is his average velocity?
Lamar's average velocity is 1 m/s
We know that,
Average Velocity = Total distance travelled / Total time taken
Given that,
Distance travelled west = 20 m
Distance travelled East = 20 m
Total time taken = 40 s
Total distance travelled = 20 + 20 = 40 m
Average Velocity = 40 / 40 = 1 m/s
Average velocity is total rate of change of displacement.
Therefore, Lamar's average velocity is 1 m/s
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In the absence of air resistance, a ball of mass m is tossed upward to reach a height of 20 m. at the 10 m position, halfway up, the net force on the ball is?
On the ball, there is mg of net force.
How would one describe air resistance?Air exerts a force known as air resistance. The force works in the opposite direction of an object traveling through the air. While a sports vehicle with a streamlined design will encounter reduced air resistance and experience less drag, the automobile will be able to move more quickly than a truck with a flat front.What Causes Air Resistance?Air resistance, also referred to as "drag," is a force brought on by air. When air specks collide with an object's front, it slows down. The more air particles that impact the object and the larger its surface area, the more resistance it faces.
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Identify each of the following as a representative element or a transition element.
a. lithium (li)
b. platinum (pt)
c. promethium (pm)
d. carbon (c)
Representative elements - elements where s and p orbital are filling.
these are also known as group A elements.
Transition elements - elements where d orbitals are filling. these are also known as d - group elements.
a. lithium (li) - Representative elements
It is element of alkali metals ( group 1A) .
Lithium atomic no. is 3
b. platinum (pt) - Transition elements
It is element of group 10 (d orbital)
platinum atomic no. is 78
c. promethium (pm) - Transition elements
Promethium atomic no. is 61
d. carbon (c) - Representative elements
It is element of block p.
Carbon atomic number is 6.
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A liquid mixture of water and alcohol has density off 900 kg per metre cubic find the mass of alcohol in one litre of the mixture. .
The mass of alcohol in one litre of the mixture is 371g
Calculation and ExplanationLet us assume the alcohol to be ethyl alcohol (C2H5OH) with the temperature being 20°C.
Given we have assumed this, the density of water and ethyl alcohol becomes,
ρa=789.45g/L
ρw=998.23gL
and then it is given that the density of the solution is ρs=900gL
We know that,
ρ= m/v
⇒ m=ρv
⇒m=ρs Vs = 900g
Then we see that the sum of the mass of ethyl alcohol and water is the same as 900g
But we are interested in finding the values keeping the volume as 1L
hence, Va +Vw =1
⇒ Vw = 1-Va
Then we know that
900g=Va(789.45g/L)+(1−Va)(998.23g/L)
so solving the equation for ethyl alcohol, we have.
Va = 0.4705 L
then to get the mass of ethyl alcohol,
ma= ρaVa
ma= (789.45g/L) (0.4705L)
ma= 371g
Thus, the mass of alcohol (ethyl alcohol) as calculated is 371g.
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In order to get the ketchup in a bottle to come out easier, you hit the bottom of the bottle while it is inverted (upside down). Which of Newton's laws best describes why this works?
Answer:
His second law. "The acceleration of an object depends on the mass of the object and the amount of force applied."
Explanation:
The harder you hit the faster and more the ketchup comes out
a car traveling forward +30m/s had its brakes applied and stops in 3.0s. what id the car's acceleration?
The car slows down by acceleration - 10 m/s² before stopping.
Equation :Given data are:
Initially moving at 30 m/s
The car's final speed is 0 m/s as it comes to a halt.
t = 3.0 seconds.
Acceleration equals a.
using the equation v = u + at, we obtain
0 = 30 + 3t
a = - 10 m/s²
The vehicle suffers a - 10 m/s² slowdown as a result.
What is meant by acceleration?Acceleration is the general term for any process where the velocity changes. There are only two ways to accelerate: either by increasing speed or decreasing direction, or both. The reason for this is that velocity includes both a speed and a direction.
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According to the given statement the car slows down by acceleration - 10 m/s² before stopping.
What is meant by acceleration?Any procedure where the velocity varies is referred to as acceleration. There are only two ways to accelerate: either by accelerating faster, or by accelerating in the opposite direction. This is because velocity consists of both a speed and a direction.
Briefing:v = initial velocity (20m/s)
u = final velocity (0 m/s)
t = 3.0 seconds.
Acceleration equals a.
Using the equation v = u + at, we obtain
30 = 0 + at
a = - 10 m/s²
The car's acceleration is -10m/s².
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