The average acceleration of the baseball is 9417.8 m/s².
To find the average acceleration, the given values are,
Initial velocity = 0
Final velocity = 43.4 m/s
Distance = 0.1 meters.
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 is a vector quantity but it has both magnitude and direction.Acceleration formula can be written as,
Acceleration, a = (v - u ) / t m/s²
where, a - acceleration
v - Final velocity
u - Initial velocity
T - Time
Acceleration can be found by,
v² = v₀² + 2a ( x - x₀)
Rearranging the equation,
43.4² = 0 + 2a ( 0.1 m)
1883.56 = 0.2 a
a = 1883.56 / 0.2
a = 9417.8 m/s².
The acceleration of the baseball is 9417.8 m/s².
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The intensity of sunlight at the Earth's distance from the Sun is 1370 W/m². Assume the Earth absorbs all the sunlight incident upon it. (b) Explain how this force compares with the Sun's gravitational attraction
Comparing these two values, Fgav is much greater than Fr.
First, calculate the force produced by the radiation pressure:
The radiation pressure produces a force equal to,
Fr=pr(πRe2)
=(I/c) ( πRe2)
Given that
I= Intensity of sun = 1370 W/m²
c = speed of light = 2.998×108m/s
Re = Radius of the earth= 6.37×106m
Ms= mass of sun = 2.0×1030kg
Me= mass of earth = 5.98×1024kg
des2 = distance of earth and sun apart =1.5×1011m
Substituting the given values according to the question
Fr= π (1.37 × 103 kW/m2) (6.37×106m)2/2.998×108m/s
=6.0×108N
(b) The gravitational pull of the Sun on the Earth is,
Fgav= GMsMe/ des2
putting values according to question
Fgav= (6.67×10−11 N⋅m2/kg2) (2.0×1030kg) (5.98×1024kg) / (1.5×1011m)2
=3.6×1022N.
Comparing these two values, it is obvious that Fgav is much greater than Fr.
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Chebyshev's theorem states that the proportion of values is at least 1-1/k2. what is the meaning of k?
k is the number of standard deviations greater than one that that proportion of observations will be discovered within.
What does Standard Deviation mean?A standard deviation measures the spread of data in relation to the mean.
A low standard deviation suggests that the data is concentrated around the mean, whereas a high standard deviation shows that the data is spread.
A standard deviation near 0 suggests that data points are close to the mean, whereas a high or low standard deviation indicates that data points are above or below the mean, respectively.
The curve on top of Image 7 is more spread out and hence has a higher standard deviation, whereas the curve below is more grouped around the mean and thus has a smaller standard deviation.
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who drink water with no mouth?
Answer: Tree
Explanation: Cause they don't have mouth to drink water they just have root
Can scientific laws be changed by a vote
Answer:
No.
Explanation:
A sceintific law cannot be changed or modified. It has been proved multiple times.
Answer:
No.
Explanation:
Scientific laws can only be changed if proven wrong. Scientists don't vote on knowledge, they use evidence to prove or disprove theories and laws.
If you subtract vector 3.7 cm at 45° North of East from vector 4.5 cm at 57° West of North using a scale drawing, what is the resultant vector?
The resultant vector is 5.2 cm at a direction of 12⁰ west of north.
Resultant of the two vectors
The resultant of the two vectors is calculated as follows;
R = a² + b² - 2ab cos(θ)
where;
θ is the angle between the two vectors = 45° + (90 - 57) = 78⁰a is the first vectorb is the second vectorR² = (3.7)² + (4.5)² - (2 x 3.7 x 4.5) cos(78)
R² = 27.02
R = 5.2 cm
Direction of the vectorθ = 90 - 78⁰
θ = 12⁰
Thus, the resultant vector is 5.2 cm at a direction of 12⁰ west of north.
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About how many days must elapse between first-quarter moon and the next full moon in the same cycle?
About 29.5 days must elapse between first-quarter moon and the next full moon in the same cycle.
What do you mean by the phases of the Moon?The different ways the Moon appears to Earth over the course of about a month are known as its phases. The side of the Moon that faces the Sun will be illuminated as it revolves around the Earth. The various forms of the illuminated region of the Moon that can be observed from Earth are referred to as their phases. Every 29.5 days, a new phase begins. Due to tidal locking, the same half of the Moon always faces the Earth. The same half of the Moon's surface will therefore always be covered by the phases.
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A 2 meter tall vertical stack of firewood casts a 4 meter shadow on horizontal ground. what is the angle of the sun in the horizon?
The angle of the sun in the horizon would be [tex]\theta[/tex] = 26.56°
CalculationHeight of stack of firewood = 2 m
Height of the shadow of firewood = 4m
Then according to trigonometric identities,
tan[tex]\theta\\[/tex] = 2/4
[tex]\theta[/tex] = [tex]tan^{-1}[/tex](1\2)
[tex]\theta[/tex] = 26.56°
What is trigonometry?
The area of mathematics concerned with how triangles' sides and angles relate to one another as well as with the pertinent uses of any angle is called as Trigonometry. This field of study was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.
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How many years would it take to reach the planet saturn travelling at 21 thousand miles per hour? enter your answer with 2 decimal places.
It would take about 4.8 years to travel from earth to Saturn.
How long would it take?We know that speed is expressed as the ratio of distance to time. In this case, we are trying to know ow many years would it take to reach the planet Saturn travelling at 21 thousand miles per hour.
Given that;
Speed = 21 thousand miles per hour
time taken = ???
Distance = 887 million miles
Speed = distance/time
speed * time = distance
time = distance/speed
time = 8.87 * 10^8 miles/2.1 * 10^4 miles per hour
time = 4.22 * 10^4 hours
If 8.766 * 10^3 hours make 1 year
4.22 * 10^4 hours make 4.22 * 10^4 hours * 1 year/8.766 * 10^3
= 4.8 years
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During the time that a planet is in its period of apparent retrograde motion, _________.
Answer:
The center of the retrograde motion occurs at the planet's opposition which is when it is exactly opposite the Sun.
Explanation:
How many protons, neutrons, and electrons are there, respectively, in an atom of o-17?.
In an atom of O-17, proton and electron is 8, and neutrons is 9.
The atomic number, sometimes referred to as nuclear charge number, of a chemical element is the charge number of an atomic nucleus. For conventional nuclei, this is comparable to the proton number, or the number of protons found in the nucleus of each atom of that element.The atomic number of oxygen is 8. Therefore, an atom needs 8 protons in order to be referred to as an oxygen atom. For instance, an atom will no longer be oxygen if it has 9 protons and will now be fluorine. Any atom that lacks 8 protons is not an oxygen atom. For an atom to be neutrally charged, the number of protons and electrons within it must match. Therefore, there should be 8 electrons in all. However, depending on the isotope, the neutron count can change. An oxygen isotope is a distinct variety of oxygen. For instance, oxygen-15, which has 7 neutrons, is a possibility. The neutron count for oxygen-16 would be 8, for oxygen-17 it would be 9, and so on.Learn more about the quantum mechanics with the help of the given link:
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When you stand at rest on a pair of bathroom scales, the readings on the scales will always?
Weight is the the gravitational force of the total body mass in the gravitational field. We can feel our weight due to the earth's normal reaction to the weight.
Gravitational force is the kind of attractive force between any two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
Therefore when we stand at rest on a pair of bathroom scales, the readings on the scales will always reads the same as the actual weight of our body.
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In a large perfectly quiet room, at what maximum distance could you hear a bee with a power output of 1 nw ? recall that the threshold of hearing is 10−12w/m2
Using threshold intensity, the maximum distance the sound could hear a bee is 8.92 m.
We need to know about intensity to solve this problem. Intensity can be determined as the ratio of power to the area. The magnitude of intensity can be calculated by
I = P / (4πr²)
where I is intensity, P is power and r is distance.
From the question above, we know that
P = 1 nW = 10¯⁹ W
I = 10¯¹² W/m²
By substituting the given parameters, we get
I = P / (4πr²)
10¯¹² = 10¯⁹ / (4πr²)
r² = 79.55
r = √79.55
r = 8.92 m
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A light-rail commuter train accelerates at a rate of 1.35 m/s2. how long (in s) does it take to reach its top speed of 80.0 km/h, starting from rest?
It takes 16.5 seconds to reach its top speed of 80.0 km/h, starting from rest.
What is Kinematics?A branch of physics called kinematics, which was evolved from classical mechanics, defines how points, bodies, and systems of bodies (groups of objects) move without taking into account the forces that propel them. The discipline of kinematics is sometimes thought of as a subfield of mathematics and is frequently referred to as the "geometry of motion." Any known values of the location, velocity, and/or acceleration of points inside the system are declared as initial conditions for a kinematics issue, together with the geometry of the system. The position, velocity, and acceleration of any unidentified system components can then be calculated using geometrical considerations.
Where [tex]v[/tex] is the final velocity and [tex]v_{0}[/tex] is the initial velocity, we utilize the formula [tex]v = v_{0}+at[/tex] (because the train starts from rest), [tex]a= 1.35\frac{m}{s^{2} }[/tex], [tex]v_{0} = 80.0\frac{km}{h} = 22.22\frac{m}{s}[/tex]
Injecting these into the formula above and calculating t provides us with,
[tex]t= \frac{v-v_{0} }{a}[/tex] ≈ [tex]16.5 s[/tex]
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Was fired for ________ after it was determined he had been inflating his production reports each quarter.
Was fired for Workplace cheating after it was determined he had been inflating his production reports each quarter.
What are production reports?The document that is filled out each day during the production of a movie or television show to recap what happened that day is known in the film industry as a "production report" (abbreviated "PR"). Each show often uses a unique template for a production report, which is frequently made before production even starts by one of the assistant directors. There is no standard format for a production report ("AD"). Apart from minor variations, most forms include the same data and are basically a collection of blank Excel tables that are printed double-sided on a legal-sized (8 x 14 inch) piece of paper. This form is used to keep track of a production's progress and costs as well as to calculate the cast and crew's respective salaries.
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Ph=4.390 write the henderson-hasselbalch equation for a propanoic acid solution (ch3ch2co2h, pka=4.874). 4.390
Answer:
a) [A⁻]/[HA] = 0.227b) [A⁻]/[HA] = 0.991c) [A⁻]/[HA] = 2.667Explanation:In the Henderson-Hasselbalch equation, HA stands from an acid an A⁻ stands from its conjugate base, as follows:CH₃CH₂CO₂H = HACH₃CH₂CO₂⁻ = A⁻pH = pka + Log [A⁻]/[HA]pH = 4.874 + Log[CH₃CH₂CO₂⁻]/[CH₃CH₂CO₂H](a) 4.23 = 4.874 + Log [A⁻]/[HA]-0.644 = Log [A⁻]/[HA] = [A⁻]/[HA]0.227 = [A⁻]/[HA](b) 4.87 = 4.874 + Log [A⁻]/[HA]-0.004 = Log [A⁻]/[HA] = [A⁻]/[HA]0.991 = [A⁻]/[HA](c) 5.30 = 4.874 + Log [A⁻]/[HA]0.426 = Log [A⁻]/[HA] = [A⁻]/[HA]2.667 = [A⁻]/[HA]
Explanation:
A certain hydrogen spectral line has wavelength 1875 nm when measured in the laboratory. that same line, when measured in a star, has wavelength 1872 nm. what can we say about the star?
The star having wavelength 1872nm is moving toward the earth.
It happens due to the phenomena of Doppler shift. Doppler effect, commonly known as Doppler shift and it is defined as The change is the wavelength or frequency of waves as a result of an observer's motion In relation to the web source.
In visible light it is possible to see the apparent wavelength emitted by stars and galaxies. As a result, a start moving towards the earth appears to emit light with a the short wavelength.
Then the light shows that is static. It is known as blue shift because here spectrum is shifted towards the blue end due to the shortest wavelength.
And when a start goes away from us, it appears that it shifts It's light towards longer wavelength.
This end is referred as redshift because it is closer to the red end of the spectrum.
Add the spectrum of a particular star. Shown that the line appearing at the shortest wavelength is 1872nm in comparison to the laboratory measurement. This shows the same hydrogen line at a greater wavelength 1875.nm results that star is moving towards the Earth.
The star having wavelength 1872nm is moving toward the earth.
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Theorem: there is no smallest positive rational number.theorem: there is no smallest positive rational number. a proof by contradiction of the theorem starts by assuming which fact?
Assume there is a smallest rational integer that has the following form: a/b
Then observe that we can define a/(b+1), which is strictly less than a/b because its divisor is bigger and is rational because it is the product of two numbers. Due to the contradiction created by our original claims that a/b is the smallest rational number that is possible, we might conclude that there is no such thing as the smallest rational number.
There can therefore be no smallest rational number because we may always define a smaller rational number than the one we now possess.
What is Rational number ?Any number that can be expressed as a ratio is considered reasonable. It is therefore possible to represent it as a fraction when the numerator and denominator are both full numbers.
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What is the statement domain for p1? express as line numbers. exclude syntactical markers, such as {, }, else, and end.
The statement domain for p1 will constitute for all those line sequences which can possibly be executed depending upon the inputted value of A. It can be stated as follows:
{ (1,2,3), (1,2,3,5,8,16,17), (1,2,3,5,6,13,16,17)}
In addition to the examination of the total study population, the DOMAIN statement also asks analysis of domains (subpopulations).
The variables that distinguish domains are known as domain variables and are named by the DOMAIN statement.
Both character and numeric domain variables are acceptable. Domain variables are treated as categorical variables by the technique.
Each level of a variable determines a domain in the research population if it appears in a DOMAIN statement by itself.
A domain is determined by every possible combination of levels of variables when two or more variables are connected by an asterisk (*). Within each of the domains that are established by the domain variables, the process does a descriptive analysis.
The levels of the categorical variables are based on the formatted values of the domain variables.
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A block has a mass of 4.726 g and a volume of 128.9 cm3. calculate the density in g/cm3
The density of the block is 0.036 g / [tex]cm^{3}[/tex]
We know that,
Density = Mass / Volume
Given that,
Mass = 4.726 g
Volume = 128.3 [tex]cm^{3}[/tex]
Density = 4.726 / 128.3 = 0.036 g / [tex]cm^{3}[/tex]
Density is defined as the unit mass per unit volume. It is represented using ρ.
Therefore, the density of the block is 0.036 g / [tex]cm^{3}[/tex]
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Light can show us that an object is rotating when one side is moving toward us and one side is moving away using:_____.
Light can show us that an object is rotating when one side is moving toward us and one side is moving away using rotational Doppler effect.
Doppler effect in light is the change in frequency of light observed by the observer due to relative motion of source in relation with the observer.
When the source of light moves towards the observer frequency increases and the wavelength decreases causing a blue shift. But when the source of light moves away from the observer frequency decreases and the wavelength increases causing a red shift.
Therefore, light can show us that an object is rotating when one side is moving toward us and one side is moving away using rotational Doppler effect.
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11 short response to the following questions "Physics has made our lives comfortable." Justify this statement
Physics has made our lives comfortable because without physics there would be no modern life.
In the modern days before the invention of physics, the life was not as comfortable as today's world. Some basic examples, include controlling the living conditions. In colder days, you can warm yourself using a heater and in hotter days you can cool yourself using an air conditioner.
Physics along with other branches of science led the invention of all the equipment, gadgets, electric devices etc. These inventions makes life easier and comfortable.
Therefore, Physics has made our lives comfortable.
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How much would a 15.0kg object weigh on neptune if the acceleration due to gravity is 11.2?
On Neptune, the object weight is 168 newton.
We need to know about the weight to solve this problem. Weight can be measured by multiplying mass with gravitational acceleration. It can be written as
W = m . g
where W is weight, m is mass and g is the gravitational acceleration.
From the question above, we know that the parameter given is:
m = 15 kg
g = 11.2 m/s²
By substituting the parameters, we can calculate the weight.
W = m . g
W = 15 x 11.2
W = 168 N
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A solid block of metal is at its melting temperature. it takes 24j to melt 6kg of a metal. what is the latent heat of fusion of the metal?
The Latent heat of fusion is also known as the Enthalpy of Fusion. It is a kind pf change in enthalpy.
Brief explanation of Latent Heat of Fusion?The latent heat of fusion, is the change in enthalpy that takes place when energy, typically heat, is provided to a specific quantity of a substance to causes it to change from a solid state to a liquid state at a constant pressure.
For instance, 1 kilogram of ice melts at 0 °C at a variety of pressures, absorbing 333.55 kJ of energy without causing a change in temperature.
The heat of solidification, which occurs when a substance changes from a liquid to a solid, is equal and opposing.
This energy includes the contribution necessary to displace its surroundings against ambient pressure in order to accommodate any corresponding change in volume.
The melting point or the freezing point, depending on the situation, is the temperature at which the phase transition takes place. Conventionally, unless otherwise stated, the pressure is taken to be 1 atm (101.325 kPa).
CalculationThe formula of latent heat of fusion is L= q/m
Here q is the heat provided and m is the mass of the object.
So, L = 24j/6kg
L= 4j/kg
So, the latent heat of fusion is 4 j/kg
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The velocity of a ball is 1 m/s at a given instant of time. is it possible for the acceleration of the ball to be -1 at this instant
Yes, The velocity of a ball is 1 m/s at a given instant of time. it is possible for the acceleration of the ball to be -1 at this instant.
Why can the acceleration be in negative?If it is made sure that the other values are plugged in correctly, a positive velocity is capable of making a negative acceleration.
Does negative acceleration indicate a speed reduction?A moving item always experiences positive acceleration. An object that is slowing down always experiences negative acceleration. However it does not mean that negative acceleration always mean reduction in speed.
Deceleration always slows down motion. However, negative acceleration is just acceleration in the opposite direction according to the selected coordinate system. Negative acceleration might or might not be deceleration, and vice versa for negative acceleration.
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If an automobile gets 24.5 miles to the gallon and the cost of gasoline is $2.75 a gallon, how much will it cost to drive 975 km?
It will cost $68 to travel 975 kilometers for an automobile if the cost of gasoline is $2.75 per gallon.
This simple calculation can be explained as below calculation of the cost of driving such a distance is done by conversion of the distance into miles and multiplying such distance by $2.75.
Cost of DrivingFirst calculate the kilometers to miles.
975 kilometers is converted as 605.837 miles. Now the division of mileage of automobile will be calculated as,
Gasoline required = Distance travelled/ mileage
=605.837/24.5
=24.72 gallons of gasoline required.
Now we have to calculate the cost of gasoline.
Gasoline cost= gallons x cost per gallon
= 24.72 x 2.75
=$68
So, it is calculated that the cost of gasoline/ cost of driving is $68.0.
Hence, it would cost $68 to travel 975 kilometers for an automobile when the cost of gasoline is $2.75 per gallon.
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Why is sugar solution classified the way it is?
What two principal factors affect the force of air resistance on a falling object?.
The two principal factors that affect the force of air resistance on a falling object are speed and cross-sectional area of the object.
When an object falls through the air, it mostly encounters some sort of resistance to its speed and this resistance is known as air resistance.
This resistance is present because of the collisions of the air molecules with the frontal surface molecules of the object.
As the speed is increased of the object so that increased amount of air resistance. speed of the object is directly proportional to the air resistance.
The cross-section of solid is defined as the shape obtained by the intersection of solid by a plane .
The rate of change of distance with respect to time is known as speed.
S = (dx/dt)
Where, dx is the distance and dt is change in time .
So that, more the speed, more the air resistance and so in the case with the cross-sectional area.
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The position of an object that is oscillating on a spring is given by the equation x = (17.4 cm) cos[(5.46 s-1)t]. what is the angular frequency for this motion?
the angular frequency of this motion is 5.46rad /sec
The formula for the angular frequency is = 2π/T. Radians per second are used to express angular frequency. The frequency, f = 1/T, is the period's inverse. The motion's frequency, f = 1/T = ω/2π, determines how many complete oscillations occur in a given amount of time so in this case the It is measured in units of Hertz, (1 Hz = 1/s).
herex
=
(17.4cm)cos[(5.46s− 1)t]
is written in the general form
where we can identify: A=17.4cm and ω
=5.46rad /sec
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If your bathroom scale assesses your weight to be 98, 211, and 167 pounds on successive measurements in the same day, the scale would suffer from low _____ reliability.
The scale that would suffer from low Test-Retest reliability when the bathroom scale assesses on measurements in the same day.
How is reliability determined ?Producing a large number of evaluation-focused questions and randomly dividing them into two sets of questions is the most popular method for gauging the dependability of parallel forms. You determine the correlation between the findings after the same respondents respond to both sets of questions.
A measure's reliability is its constancy. Internal consistency, consistency among things, and consistency across different researchers are the three types of consistency that psychologists take into account (inter-rater reliability).
Because it affects the worth of a psychological test or study, reliability is crucial. Its dependability assures value to the psychology field and other fields where it has importance, such as business or education, if test findings are consistent when researchers undertake a study.
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if tou were to become a scientist what will be your contribution to the society? why?
