Using the charter system conversation in the right angled value triangle we apply distance formula and get the G-plot value of 9.876 u.
How is position determined in velocity - time?The movement in a graph is determined through the two perpendicular axis in which the first coordinate represents the distance to be traveled in the x axis and the second coordinate shows the distance to be traveled in the y axis .
What is distance formula ?If you want to determine the distance between any two point in a graph the distance formula is used in such case the distance formula is applied like Pythagoras theorem.
Given:
A (1,3)
Period = 0.2 seconds
B (1,5)
Period = 0.5 seconds
Before applying distance formula we need to simplify the given value into charter system.
Where,
A become a substituted value for the argument of square on the basic structure.
Since A symmetrical is that of right angled triangle we can use the basic charter values.
Therefore A now become A(π,2)
Similarly B become B(e,nπ)
Using distance formula to find the graph plot we get:
AB = 5.6π - e×3.14
AB = 9.876
where AB is the distance between A and B.
Therefore using the charter system conversation in the right angled value triangle we apply distance formula and get the G- plot value of 9.876 u.
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What is the far point in m of a person whose eyes have a relaxed power of 53. 6 d? (assume a lens-to-retina distance of 2. 00 cm. )
According to the relaxed power, the far point in meter unit is 0.28 meters.
We need to know about the relaxed power of the eye to solve this problem. Relaxed power can be defined as the ability of the optical device to see. It can be represented by a dioptre unit. The relaxed power formula is
P = 1/di + 1/do
where P is power of the eye, di is distance between eye lens and image and do is distance between eye lens and image.
From question above, the given parameters are
P = 53.6 d
di = 2 cm = 0.02 m
By substituting the given parameters, we can calculate the far point
P = 1/di + 1/do
53.6 = 1/0.02 + 1/do
1/do = 53.6 - 50
1/do = 3.6
do = 1/3.6
do = 0.28 m
Hence, the far point in meter unit is 0.28 meters.
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the football team at enormous state university (esu) uses vector displacements to record its plays, with the origin taken to be the position of the ball before the play starts. in a certain pass play, the receiver starts at 1.0i^−5.0j^, where the units are yards, i^ is to the right, and j^ is downfield. subsequent displacements of the receiver are 7.0i^ (he is in motion before the snap), 8.0j^ (breaks downfield), −7.0i^ 3.0j^ (zigs), and 11.0i^ 12.0j^ (zags). meanwhile, the quarterback has dropped straight back to a position −7.0j^.
We shall use the ideas connected to the vector sum to develop this issue. To achieve this, we will add the person's displacement vectors to determine the total distance he has gone from the initial point (0 position) to the destination position.
Then quarterback will throw the ball 44.4 yards in a particular direction with the angle of 54.16 °
t = 25.1seconds.
X(t)= 16cos75°t
Y(t)= 6 + (Vosin75°t - 16t^2)
Converting 78 yards to feet :
1 yard = 3 feet
78feet =?
78×3=234 feet
Y(t)= number of feet above the ground at t seconds
VoCos75° t = 234
t = 234/(VoCos75°)
At this time,4 = y(234/VoCos75°)
4 = 6 + VoSin75°(234/VoCos75) - 16(234/VoCos75°)^2
Vo= 140.66ft/s
Time,t= 234/(140.66× Cos75°)
t = 25.087seconds
t= 25.1 seconds (1 decimal place)
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Valerie's monthly income is $450 and her monthly outflows are $425. How much money could Valerie save in the next eight months without changing her income or spending pattern
Answer:
$200
Explanation:
[tex]total \:saved = months(monthly \: income - monthly \: outflows)[/tex]
[tex]x = 8(450 - 425)[/tex]
[tex] \times = 8(25)[/tex]
you're going to find the difference of the two values
The money that could Valerie save in the next eight months without changing her income or spending pattern is $200.
What are the types of income?Passive income is the form of revenue obtained from renting out a home. It is a consistent source of revenue that requires minimal work to maintain.
Earnings from a rental property, limited partnership, or other enterprise are some examples. Gross income includes all sources of revenue. It is an individual's entire personal income before taxes and deductions.
Taxable income is defined as an individual's or a business firm's earnings (amount of income) that are used as a basis by federal or state authorities to calculate the tax to be levied on them.
Total saved money = months (monthly income - monthly out of flow)
x = 8($450 - $425)
x = 8(25)
Therefore, Valerie might save $200 over the next eight months without changing her salary or spending habits.
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A cannon ball is shot horizontally off a 86.5 m hill with an initial horizontal velocity of 105 m/s. What horizontal distance will the cannon ball travel?
Answer:
H = 86.5 m = 1/2 g t^2 to get time for cannon ball to fall 86.5 m
t = (2 * 86.5 / 9.8)^1/2 = 4.20 sec
S = Vx t = 105 m/s * 4.2 s = 441 m horizontal distance
In a first order decomposition, the constant is 0.00134 sec-1. what percentage of the compound is left after 4.71 minutes?
In a first order decomposition after 4.71 minutes, 37.8% of the compound is left.
CalculationA = A0e-kt
A/A0 = e-0.00134t, [k = 0.00299, divide both sides by A0]
A/Ao = e-0.00134*282.6, [t = 4.71 min*(60 sec/ 1 min) = 282.6 sec]
A/A0 = .3786 = 37.8%
What is order of Decomposition?Invertebrate creatures go through five general stages of decomposition: fresh, bloat, active decay, advanced decay, and dry/remains.
What is telecom order decomposition?The procedures for breaking down a sales order into numerous work orders or service orders are outlined in the Order Decomposition section.
One sub-order can be created for each business line in a Triple Play Telco Sales order, which includes three services: landline, Internet, and wireless.
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Change 1m² into cm², mm² and km²
1m² = 10000cm²
1m² = 1000000mm²
1m² = 1e-6km²
which is larger
a, same size
b, 2 ft
c, 2 m
for anyone who wants points answer this :)
What is the percent yield of zncl2 when 19.2 grams of zn react with an excess of hcl to produce 28.2 grams of zncl2?
Taking into account definition of percent yield, the percent yield for the reaction is 70.46%.
Reaction stoichiometryIn first place, the balanced reaction is:
Zn + 2 HCl → ZnCl₂ + H₂
By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:
Zn: 1 moleHCl: 2 molesZnCl₂: 1 moleH₂: 1 moleThe molar mass of the compounds is:
Zn: 65.37 g/moleHCl: 36.45 g/moleZnCl₂: 136.27 g/moleH₂: 2 g/moleThen, by reaction stoichiometry, the following mass quantities of each compound participate in the reaction:
Zn: 1 mole ×65.37 g/mole= 65.37 gramsHCl: 2 moles ×36.45 g/mole= 72.9 gramsZnCl₂: 1 mole ×136.27 g/mole= 136.27 gramsH₂: 1 mole ×2 g/mole= 2 gramsMass of ZnCl₂ formedThe following rule of three can be applied: if by reaction stoichiometry 65.37 grams of Zn form 136.27 grams of ZnCl₂, 19.2 grams of Zn form how much mass of ZnCl₂?
mass of ZnCl₂= (19.2 grams of Zn× 136.27 grams of ZnCl₂)÷ 65.37 grams of Zn
mass of ZnCl₂= 40.02 grams
Then, 40.02 grams of ZnCl₂ can be produced when 19.2 grams of Zn react with an excess of HCl.
Percent yieldThe percent yield is the ratio of the actual return to the theoretical return expressed as a percentage.
The percent yield is calculated as the experimental yield divided by the theoretical yield multiplied by 100%:
percent yield= (actual yield÷ theoretical yield)× 100
where the theoretical yield is the amount of product acquired through the complete conversion of all reagents in the final product, that is, it is the maximum amount of product that could be formed from the given amounts of reagents.
Percent yield for the reaction in this caseIn this case, you know:
actual yield= 28.2 gramstheorical yield= 40.02 gramsReplacing in the definition of percent yields:
percent yield= (28.2 grams÷ 40.02 grams)× 100
Solving:
percent yield= 70.46%
Finally, the percent yield for the reaction is 70.46%.
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Mechanical stress on weight-bearing bones plays a large part in bone remodeling. What single factor plays the largest role in maintaining adequate bone strength?.
Gravity is the single factor that plays the largest role in maintaining adequate bone strength.
What is Gravity?Gravity is the force by which a planet or other body draws objects toward its center.
Gravity is the single factor that plays the largest role in maintaining adequate bone strength.
Gravity is by far the weakest known force in nature and thus plays no role in determining the internal properties of everyday matter.
The newton's law of gravitation is expressed mathematically as
F= Gm1m2/r²
where
F = force
G = gravitational constant
m_1 = mass of object 1
m_2 = mass of object 2
r = distance between centers of the masses
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The wavelength of light determines its ____, and the amplitude of light determines its ____.
The wavelength of light determines its color and the amplitude of light determines its brightness.
What is wavelength?
Wavelength can be defined as the distance between two successive crests or troughs of a wave.
The wavelength of light determines color of the light.
What is amplitude of light wave?The amplitude of a wave is the maximum upward displacement of the wave.
The amplitude of light determines its brightness.
Thus, the wavelength of light determines its color and the amplitude of light determines its brightness.
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3. For each equation, state the reaction type and then balance the equation. (2 points)
b.KCIO3 →_KCI+_0₂
->
This is a type of decomposition reaction and the balanced reaction is as below
(2)KCIO3 → (2)KCI + (3)0₂
A decomposition reaction is the type of reaction in which the single reactant is broken down into one or more than one smaller product out of which one may or may not be a gaseous product.
In the given reaction, KClO3 is broken into KCl and O2, in which O2 is a gaseous product. Hence, the given reaction is an example of a decomposition reaction.
In the unbalanced chemical equation, the number of Potassium(K) and Chlorine(Cl) is equal on both the reactant and product sides. But the no. od Oxygen(O) is not equal.
Equating the oxygen on both sides, we get the balanced chemical equation as below:
(2)KCIO3 → (2)KCI + (3)0₂
Therefore, the above reaction is an example of a decomposition reaction and the balanced chemical reaction is (2)KCIO3 → (2)KCI + (3)0₂.
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as you walk into a brightly lit room, the black structure in the center of your eye seems to shrink to a tiny black dot. this response is caused by the action of the eye structure called the: question 1 options: 1) cornea. 2) retina. 3) iris. 4) lens.
This response is caused by the action of the eye structure called Iris
The black structure in the center of your eye is called as Pupil. It is second layer, which the light passes when entering the eye. In bright light the pupil shrinks and in dim light the pupils expands.
As said above, the pupils size changes based on the amount light entering the eye. This moving of pupils is controlled by Iris, the coloured part of the eye.
Therefore, the given response is caused by the action of the eye structure called the
3 ) Iris
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QUESTION 6
The formula for kinetic energy is KE =
12 mass times velocity squared. Fill in the
blanks using the formula. Play with it on
paper first.
Kinetic Energy
✓
✓
16
20
Mass
2
6
2
2
2
2
Velocity
/4
Answer:
k.e.
1/2 ×2×4=4
1/2×6×4=12
m.
16×2÷4=8
20×2÷4=10
Where do scientists get their evidence?
-For Study Guide
Scientists get their evidence through scientific methods such as observation and performing experiments.
What is Experiment?This is referred to as a part of a scientific method and it is performed by scientists to test a hypothesis so as to know whether it will be accepted or refuted.
This helps scientists to gather information from the various results gotten and the use of our sense organs such as nose etc to observe the various happenings is also a method in which scientists get their evidence. They also use models to study how certain processes occur so as to get the accurate data.
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A cylinder of the same material as the one you used in your experiment has a mass of 250 g and a diameter of 10 cm. What is its length?
Write an expression for the mass of the cylinder in terms of length and equal it to 250 g to find the unknown.
Since the question refers to a previous case (an experiment with a similar cylinder), you probably know the density of that cylinder by now.Also, since this new cylinder is of the same material, it has the same density as the previous one. This fact lets you create a link between the situations or data which helps you to find the unknown quantity of the new cylinder.The volume of the cylinder can be written as follows,[tex]\begin{aligned}\\\\V &= \text{area}\times \text{length}\\&= \pi \frac{d^2}{4}\times L\end{aligned}[/tex]
The mass of the cylinder is as follows[tex]\begin{aligned}m &= \text{density}\times\text{volume}\\\\&= \rho \times \pi \frac{d^2}{4}\times L\\\\250\,g &= \rho \times \pi \frac{d^2}{4} \times L\\\\L &= \frac{250\,g\times 4}{\pi \rho d^2 }\\\\&= \frac{1000 g}{\pi \times \rho\times (10\,cm)^2}\end{aligned}[/tex]
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a ball is kicked at an angle of 33 degrees relative to horizontal with a velocity of 70m/s. how much of this velocity is in the vertical direction? group of answer choices
velocity is in the vertical direction is 38.124m/s
Projectile motion may be defined as a particle moves along the curved pat with the constant acceleration when through near the earth surface.
It is a parabolic because it is affected by gravity.
along x axis velocity responsible for horizontal motion
along y axis velocity responsible for vertical motion
path followed by a projectile is known as a trajectory.
a ball is kicked at an angle of degrees = 33 degree
velocity of ball, v= 70m/s
v has two components one in horizontal and in one vertical.
velocity is in the vertical direction is given by
[tex]v_{x} = v sin\theta[/tex]
[tex]v_{x} = 70 sin(33)[/tex]
[tex]v_{x} = 38.124[/tex]m/s
velocity is in the vertical direction is 38.124m/s
The given question is incomplete. The complete que is
a ball is kicked at an angle of 33 degrees relative to horizontal with a velocity of 70m/s. how much of this velocity is in the vertical direction? group of answer choices
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A 0.8 kg toy car is pushed with a force of 4 N. What is the acceleration of the toy car? 2.1 m/s2 ⊝ 3.3 m/s2 ⊝ 5.0 m/s2 ⊝ 6
Answer:2.1 m/s2. 3.3 m/s2. 5.0 m/s2. 6.2 m/s2.
Explanation:
calculate the gradient of the distance -time²groph with is rough surface in contact with the track
On a distance-time graph, an object's motion is indicated by a sloping line. The slope or gradient of the line in a distance-time graph is equal to the object's speed. The object is travelling more quickly the steeper the line is (and the bigger the gradient).
The vertical separation (in this case, the elevational difference between points "A" and "B") is 10,000 feet. A to B is separated by a horizontal distance of 5 miles. Elevation differential (ED) divided by horizontal distance is used to calculate gradients (HD) GRADIENT travels at 2000 feet per mile (10,000 feet divided by 5 miles). The gradient is a vector operation that transforms a scalar function into a vector whose magnitude corresponds to the function's highest rate of change at the gradient's point.
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what is the speed of Nolan’s Ryan’s fastball if it travels 4.6 meters in .60 seconds?
which of the following best represents r = a - b
Option A from the following options represents the resultant vector r = a-b, therefore the correct answer is option A.
What is a vector quantity?The quantities that contain the magnitude of the quantities along with the direction are known as the vector quantities.
Examples of vector quantities are displacement, velocity acceleration, force, etc.
As given in the problem we have to find out which of the following vector best represents r = a - b,
As per the triangle law of the vector addition, the resultant sum is represented by the closing side of the triangle in regular order.
Thus, the correct answer is option A.
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One way to control avalanches is to send explosive charges to key areas on mountain slopes to trigger small avalanches before larger ones can build up. Norway, for instance, uses solar- powered launchers that fire pre-timed charges. Your launcher fires charges at an angle of 70 degrees from the horizontal and a speed of 200 m/s. If you fire a charge and it travels a horizontal distance of 300 m away from you, how high up the slope will it strike?.
By using uniform motion, the high up the slope will it strike is 730.62 m.
We need to know about uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
θ = 70⁰
vi = 200 m/s
x = 300 m
Find the initial velocity in x and y axis
vx = vi cosθ = 68.40 m/s
vy = vi sinθ = 187.94 m/s
Find the time taken to reach 300 m
vx = x / t
68.4 = 300 / t
t = 4.39 second
Find the time taken to reach maximum height
vt = vo + a . t
0 = vy - g . t
vy = gt
187.94 = 9.8 . t
t = 19.18 second
The motion of projectile is raising to maximum height, hence
s = vo . t + 1/2 . a . t²
h = vy . t - 1/2 . g . t²
h = 187.94 . 4.39 - 1/2 . 9.8 . 4.39²
h = 730.62 m
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suppose that the fuel accounts for 75% of the initial mass of the rocket and that all of the fuel is consumed at 140 s. find the velocity of the rocket in meters per second at the instant the fuel is exhausted. [ note: take g
The velocity of the rocket, at the instant, the fuel is exhausted is 2103 m/s
Given that,
m = [tex]m_{0}[/tex] - k t ⇒ ( 1 )
m dv / dt = ck - mg ⇒ ( 2 )
dv / dt = ( ck / m ) - g
dv = ( ck / ( [tex]m_{0}[/tex] - k t ) - g ) dt
∫ dv = c ∫( k / ( [tex]m_{0}[/tex] - k t ) dt - ∫ g dt
v = -c ln ( [tex]m_{0}[/tex] - k t ) - gt + [tex]C_{1}[/tex] ⇒ ( 3 )
[tex]C_{1}[/tex] = Constant of integration
At t = 0, v = 0 i.e. v ( 0 ) = 0
Substitute v ( 0 ) = 0 in ( 3 )
0 = -c ln ( [tex]m_{0}[/tex] - 0k ) - 0 g + [tex]C_{1}[/tex]
[tex]C_{1}[/tex] = c ln ( [tex]m_{0}[/tex] )
Substitute [tex]C_{1}[/tex] in ( 3 )
v = -c ln ( [tex]m_{0}[/tex] - k t ) - gt + c ln ( [tex]m_{0}[/tex] )
v = c ln ( [tex]m_{0}[/tex] / [tex]m_{0}[/tex] - kt ) - gt ⇒ ( 4 )
After the fuel is fully consumed after 140 s, the mass of rocket is 25% of initial mass.
m ( 140 ) = 0.25 [tex]m_{0}[/tex]
From ( 1 )
m ( t ) = [tex]m_{0}[/tex] - k t
m ( 140 ) = [tex]m_{0}[/tex] - 140k
0.25 [tex]m_{0}[/tex] = [tex]m_{0}[/tex] - 140k
From ( 4 )
v ( 140 ) = 2500 ln ( [tex]m_{0}[/tex] / [tex]m_{0}[/tex] - 140k ) - 9.8 ( 140 )
v ( 140 ) = 2500 ln ( [tex]m_{0}[/tex] / 0.25 [tex]m_{0}[/tex] ) - 1372
v ( 140 ) = 2500 ln ( 4 ) - 1372
v ( 140 ) = ( 2500 * 1.39 ) - 1372
v ( 140 ) = 2103 m / s
Velocity at a given instant is the displacement at that given instant.
The given question is incomplete. The complete question is:
A rocket, fired upward from rest at time t=0, has an initial mass of [tex]m_{0}[/tex](including its fuel). Assuming that the fuel is consumed at a constant rate k, the mass m of the rocket, while fuel is being burned, will be given by m = [tex]m_{0}[/tex] - k t. It can be shown that if air resistance is neglected and the fuel gases are expelled at a constant speed c relative to the rocket, then the velocity v of the rocket will satisfy the equation m dv / dt = c k - m g where g is the acceleration due to gravity. Suppose that the fuel accounts for 75% of the initial mass of the rocket and that all of the fuel is consumed in 140 s. Find the velocity of the rocket in meters per second at the instant the fuel is exhausted. [Note: Take g=9.8 m/s and c=2500 m/s.]
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The resistance of the incandescent bulb used in a car lamp is equal to OM. Find the current that flows through the bulb if the voltage is at 5V.
Answer:The resistance of a 24 W, 12 V filament lamp depends on the current flowing through the lamp. For currents up to 0.8 A, the resistance has a constant
Explanation:
which atom is involved in giving your heart energy to beat
Answer:
Oxegen
Explanation:
which areas in the atmosphere could have the lowest concentration of water vapor
Answer:
Thermosphere. Located between about 80 and 700 kilometers (50 and 440 miles) above Earth's surface is the thermosphere, whose lowest part contains the ionosphere. In this layer, temperatures increase with altitude due to the very low density of molecules found here. It is both cloud- and water vapor-free
Explanation:
i might be wrong
What are the steps in experimental design? Give a short explanation for each step.
Answer:
First you define your variables meaning you write out the worths of each variable. Second you write your hypothesis and this is your guess on what will happen. Third you design your experimental treatments which is you analyzing what youre going to do. Next assign your subject to treatment groups and lastly youll measured your dependent vauleable.
Explanation:
Is speed a vector or a scalar quantity?
Speed is a scalar quantity because it is only represented by magnitude not a direction.
Additional information:Scalar quantity is a quantity that is only represented by magnitude. For eg :- distance, speed etc.Vector quantity is a quantity that is represented by both magnitude as well as direction. For eg :- displacement, velocity etc.As a freely falling object picks up downward speed, what happens to the power supplied by the gravitational force?.
As a freely falling object picks up downward speed. What happens to the power supplied by the gravitational force? The power will increase because (Power=work/time; work=f(d); and F x d/t; FV).
What Is Gravity?Greatness is the estimation or supreme esteem of an amount. A size is spoken to by a positive, genuine number.Some illustrations of the drive of gravity incorporate: The drive that holds the gasses within the sun. The drive that causes a ball you toss within the discuss to come down once more. The drive causes a car to coast downhill once you aren't venturing on the gas. The drive that causes a glass you drop to drop to the floor.Forces are the way that vitality is exchanged from one protest to another when they connected, but powers are not the vitality itself. Gravity may be a constrain, so it fair gives one way for objects to trade and change vitality to diverse states.As a freely falling object picks up downward speed. What happens to the power supplied by the gravitational force? The power will increase because (Power=work/time; work=f(d); and F x d/t; FV).
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As the pressure of an enclosed gas decreases to half its original value, what happens to the volume of the gas if temperature is held constant?
a. the volume decreases to one-fourth of its original value.
b. the volume increases to four times its original value.
c. the volume decreases to half of its original value.
d. the volume increases to twice its original value.
The new volume of the gas will increase to twice the original volume (Option D)
Data obatined from the questionFrom the question given above, the following data were obtained:
Initial volume (V₁) = V Temperature = constant Initial pressure (P₁) = PNew pressure (P₂) = 1/2P = 0.5PNew volume (V₂) =? How to determine the new volumeThe new volume of the gas can be obtained as illustrated below:
P₁V₁ / T₁ = P₂V₂ / T₂
Since the temperature is constant, we have:
P₁V₁ = P₂V₂
P × V = 0.5P × V₂
Divide both side by 0.5P
V₂ = (P × V) / 0.5P
V₂ = V / 0.5
V₂ = 2V
Thus, the new volume of the gas will increase to twice the original volume (Option D)
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a car accelerates at a constant rate from 15 m/s to 25 m/s while it travels a distant of 125 m how long does it take to achieve the final speed
Answer:
6.25 sec
Explanation:
Given: initial velocity = 15 m/s final velocity = 25 m/s, and distance = 125 m
average velocity = (25 + 15)/2
Distance(D) = Rate(R) x Time(T)
125 = ((25 + 15)/2) x T
125 = 20T
T = 6.25 sec
Hence the required time to achieve final speed is 6.25 sec
Answer:
See below
Explanation:
Here is another way
d = vo t + 1/2 a t^2 a = change vel /change t = 10/t
125 = 15 t + 1/2 (10/t) t^2
125 = 20 t
t = 125/20 = 6.25 s