A sheet metal screw holding a metal body panel has pierced the insulation of a power wire and is touching the copper strands, this is known as a short to ground.
A substance called insulation is used to block sound and air. Insulation is used in the walls and attic of a home to keep warm air inside and cold air outside during the winter. An example of insulation is fibreglass. noun.
Covering anything in order to prevent heat, sound, or electricity from leaving or entering; also, the state of being covered in this manner: The animal's thick coat serves as excellent insulation from the arctic cold.
Any of the aforementioned alternatives would be safer than insulating your home with small glass shards doused in formaldehyde when compared to fibreglass insulation. However, cellulose is the most secure choice available.
Learn more about insulation:
https://brainly.com/question/732626
#SPJ4
the energy flux associated with solar radiation incident on the outer surface of the earth's atmosphere has been accurately measured and is known to be 1368 w/m2 . the diameters of the sun and earth are 1.39 × 109 and 1.27 × 107 m, respectively, and the distance between the sun and the earth is 1.5 × 1011 m.
The emission power of sun is 3.868 * [tex]10^{26}[/tex] W
We know that,
Energy flux on earth = Emission power of sun / 4 π [tex]r^{2}[/tex]
where,
r = Distance between sun and earth
Given that,
Energy flux on earth = 1368 W / [tex]m^{2}[/tex]
Diameter of sun = 1.39 * [tex]10^{9}[/tex] m
Diameter of earth = 1.27 * [tex]10^{7}[/tex] m
r = 1.5 * [tex]10^{11}[/tex] m
Emission power of sun = 1368 * 4 * 3.14 * ( 1.5 * [tex]10^{11}[/tex] [tex])^{2}[/tex]
= 1368 * 2.828 * [tex]10^{23}[/tex]
Emission power of sun = 3.868 * [tex]10^{26}[/tex] W
Energy flux is the rate of transfer of energy through a surface. The unit of total rate of energy transfer is W = J / s. The unit of specific rate of energy transfer is W / [tex]m^{2}[/tex] = J / [tex]m^{2}[/tex] s
Therefore, The emission power of sun is 3.868 * [tex]10^{26}[/tex] W
To know more about Energy flux
https://brainly.com/question/14644696
#SPJ4
What strategies are likely to be most effective in teaching a young child to throw a ball?
The best strategy for teaching a toddler or pre-schooler to throw is to simply play lots of throwing games with them without providing instruction. This will enable children to learn the fundamentals of throwing as their muscle coordination gradually improves over time.
What do you mean by throwing?Throw me a ball is an expression used to launch a ball through the air To abruptly place in a particular state or situation Please don't throw rubbish on the ground. He was thrown in jail to cause to tumble .The horse hurled its rider to put on or take off in a fast Let me throw on a coat.
Which three forms of throwing are there?Overhand, underhand, and throws made with both hands are among the different kinds. Underhand throws are typically made below the shoulder, whereas overhand throws are typically made above.
To know more about Throwing visit:
https://brainly.com/question/1503439
#SPJ4
If the reaction is second order in a and first order in b, what is the rate when the initial concentration of [a] = 4.11 mol/l and that of [b] = 3.71 mol/l?
Answer:
New concentration of A =3 [A] Put the values we get new rate of reaction. − dtd[R]=k[3A] 2[B] Hence, the rate of reaction will increase by 9 times. (iii) Given that. New concentrations of A=2[A] New concentration of B=2[B] Plug the values we get.
Explanation:
The rate using the rate constant and the given concentrations [tex]\( \text{rate} = 2.1897 \text{ mol/L.s} \)[/tex].
The rate law for the reaction is given as: [tex]\rm \[ \text{rate} = k \times [a]^2 \times [b] \][/tex]
where:
[tex]\[ [a] = 4.11 \text{ mol/L} \]\\\ [b] = 3.71 \text{ mol/L} \][/tex]
[tex]\rm \[ k \][/tex] is the rate constant (to be determined)
To find the rate, we need to calculate the rate constant [tex](\( k \))[/tex] and then substitute the given concentrations of [tex]\( [a] \)[/tex] and [tex]\( [b] \)[/tex] into the rate law.
Step 1: Calculate the rate constant [tex](\( k \))[/tex] using the provided rate value and concentrations.
[tex]\[ \text{rate} = 2.1897 \text{ mol/L.s} \]\\\[k = \frac{\text{rate}}{[a]^2 \times [b]} \]\[k = \frac{2.1897 \text{ mol/L.s}}{(4.11 \text{ mol/L})^2 \times 3.71 \text{ mol/L}} \][/tex]
Step 2: Calculate the rate using the rate constant and the given concentrations.
[tex]\[ \text{rate} = k \times [a]^2 \times [b] \]\[ \text{rate} = \left(\frac{2.1897 \text{ mol/L.s}}{(4.11 \text{ mol/L})^2 \times 3.71 \text{ mol/L}}\right) \times (4.11 \text{ mol/L})^2 \times 3.71 \text{ mol/L} \]\[ \text{rate} = 2.1897 \text{ mol/L.s} \][/tex]
The correct result is [tex]\( \text{rate} = 2.1897 \text{ mol/L.s} \)[/tex].
Know more about rate constant:
https://brainly.com/question/14977272
#SPJ7
Sketch the vectors v1, v2, v3, v4 with tail p and head q, and com- pute their lengths. are any two of these vectors equivalent?
Two or more vectors are equivalent if they have same magnitude and direction.
Vectors are formed by joining tail with head and forming an arrow in the direction of head.
Lets find each of these vectors.
(i) v1= (position vector of Q)-(position vector of P)
= (4i+4j)-(2i+4j)= 4i+4j-2i-4j=2i
v1= 2i
if a vector V= xi+yj
then the length of vi =2i
length of v1=2
(ii )v2= (position vector of Q)-(position vector of P)
(i=3j)-(-i+3j)= i+3j+i-3j=2i
v2= 2i
length of v2= 2
(iii) v3= (2i+4j)-(-i+3j)= 2i+4j+i-3j
v3= 3i+j
length of v3= [tex]\sqrt{10}[/tex]
(iv) v4= (6i+3j)-(4i+j)= 6i+3j-4i-j
Length of v4= [tex]\sqrt{8}[/tex]
Two vectors are equivalent if they have same magnitude and direction.
Clearly vectors V1 and V2 have same magnitude and they have same direction as represented of their sketch.
Hence vectors V1 and V2 are equivalent.
How would you define magnitude?Magnitude is a term used to describe size or distance. We can relate the magnitude of the movement to the size and movement speed of the object. The magnitude of a thing or an amount is its size.
To know more about Magnitide visit:
https://brainly.com/question/14452091
#SPJ4
A car accelerates from 5.0 m/s to 21 m/s at a rate of 3.0 m/s2. how far does it travel while accelerating?
The car which accelerates from 5.0 m/s to 21 m/s at a rate of 3.0 m/s2 travels 69.33 m
The formula for Uniformly varied rectilinear motion (UVRM) and procedure we will use to solve this exercise is:
x = (vf²-vi²)/ (2a)
Where:
x = distancevf = final velocityvi = initial velocitya = accelerationInformation about the problem:
vi= 5.0 m/s vf = 21 m/sa = 3.0 m/s2x= ?Applying the distance formula, we have:
x = (vf²-vi²)/ (2a)
x = [(21 m/s)²- (5.0 m/s)²]/ (2 * 3.0 m/s²)
x = (441 m²/s²- 25 m²/s²)/ 6 m/s²
x = 416 m²/s²/ 6 m/s²
x = 69.33 m
What is acceleration?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
Learn more about acceleration at: brainly.com/question/14344386
#SPJ4
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.
To know more about Ethyl alcohol, visit:
https://brainly.com/question/8950356
#SPJ4
A wireless nic performs the same functions as a wired nic except that ____________.
A wireless NIC performs the same functions as a wired NIC except that an antenna or sensor is used instead of wired connection.
NIC in known as network interface. Traditionally NIC is done using wiring from source to receiver. As technology advanced we started using wireless NIC.
In an wireless NIC, antennas or sensors will be present to receive and send signals. The signals are send and received as electromagnetic waves also called as EM waves.
Therefore, a wireless NIC performs the same functions as a wired NIC except that an antenna is used instead of wired connection.
To know more about wireless NIC
https://brainly.com/question/20366069
#SPJ4
The vernal equinox is now just entering the constellation aquarius. In what constellation will it lie in the year a. D. 10000?.
The vernal equinox in the year AD 10000 will lie in the constellation Scorpio.
Once every 25800 years a full cycle of precession is completed. There are 12 constellations which means it takes 25800 / 12 = 2150 years to move from one constellation to the next one. The order in which the vernal equinox moves from Aquarius is Capricorn, Sagittarius, Scorpio, Libra etc.
Now the year is 2022 AD where the vernal equinox just entered constellation Aquarius. In 4172 AD it would have entered constellation Capricorn, then constellation Sagittarius in 6322 AD, then constellation Scorpio in 8472 AD and then constellation Libra in 10622 AD. This means that in 10000 AD it is still in constellation Scorpio and yet to enter constellation Libra.
Therefore, In the year 10000 AD, the vernal equinox will lie in the constellation Scorpio.
To learn more about constellation Scorpio
brainly.com/question/4444209
#SPJ4
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.
What did aristotle and ptolemy say about the relationship of earth to other celestial bodies?.
Aristotle and Ptolemy said that earth is in the center and all other planets move in a circular motion around Earth.
Aristotle from Classic Greece and Ptolemy from Roman Egypt agreed on three facts:
Earth and other celestial bodies are spherical in shape.Earth is in the center and all other celestial bodies revolve around it.The other planets orbit in a circular path.This model of the solar system with Earth in the center is called as Geocentric model.
Therefore, Aristotle and Ptolemy said that earth is in the center and all other planets move in a circular motion around Earth.
To know more about Geocentric model
https://brainly.com/question/19757858
#SPJ4
A road has a rise of 7m for every 120m of horizontal distance. what is the degree of the elavation?
The degree of the elevation is 3.3
What is the degree of elevation?Without altering the curve's shape, degree elevation raises the curve's degree. They offer two widely used methods to make two curves compatible, together with knot insertion.How do you measure elevation?"Rise over Run," which equals the rise (the change in vertical distance) divided by the run, is a simple formula for calculating the change in elevation as a decimal (the change in horizontal distance). Say, for illustration, that the rise is two and the run is six. Therefore, you would add 2 to 6 (or 2/6) to obtain.
learn more about elevation here
https://brainly.com/question/2004882
#SPJ4
Your weight is:__________
a. actually your mass.
b. the gravitational attraction between you and the earth.
c. a property of mechanical equilibrium.
d. the same in all locations.
Your body weight is the gravitational attraction between you and the Earth.
What is gravity?Gravity, which means "weight" in Latin, is a basic interaction in physics that causes all objects with mass or energy to attract one another. The electromagnetic force, the weak interaction, and the strong interaction are all significantly stronger than gravity, which is by far the weakest of the four fundamental interactions. As a result, it has no appreciable impact on subatomic particle level phenomena. On Earth, gravity imparts weight to tangible items, and the Moon's gravity creates tides in the oceans. However, gravity is the most important interaction between objects at the macroscopic scale, determining the motion of planets, stars, galaxies, and even light.
To learn more about gravity , visit:
https://brainly.com/question/2888262
#SPJ4
While passing a slower car on the highway, you accelerate uniformly from 17.5 m/s to 29.5 m/s in a time of 11.1 s. how far do you travel during this time?
When I accelerate uniformly from 17.5 m/s to 29.5 m/s in a time of 11.1 s, I travel 260.85 m
The formula for Uniformly varied rectilinear motion (UVRM) and procedure we will use to solve this exercise is:
x = [(vi + vf) /2] * t
Where:
x = distancevf = final velocityvi = initial velocityt = timeInformation about the problem:
vi= 17.5 m/svf = 29.5 m/s t = 11.1 sx= ?Applying the distance formula, we have:
x = [(vi + vf) /2] * t
x = [(17.5 m/s + 29.5 m/s ) /2] * 11.1 s
x = [(47 m/s ) /2] * 11.1 s
x = (23.5 m/s) * 11.1 s
x = 260.85 m
What is acceleration?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
Learn more about acceleration at: brainly.com/question/14344386
#SPJ4
If a basketball player jumps and lands on the ground after 3.2 seconds with a final velocity of −5.5 m/s, what is the player’s initial velocity? Assume (a=−9.8 m/s2)
Show some work
The initial velocity of the player, given it landed on the ground after 3.2 s is 15.68 m/s
How to determine the timeWe'll beging by obataining the time taken for the player to reach the maximum height. This can be obtannnned as follow:
Time for the entire trip (T) = 3.2 sTime to reach maximum height (t) = ?T = 2t
3.2 = 2t
Divide both sides by 2
t = 3.2 / 2
t = 1.6 s
How to determine the initial velocity of the playerThe initial velocity of the player can be obtained as follow:
Time to reach maximum height (t) = 1.6 sAcceleration due to gravity (g) = -9.8 m/s²Final velocity (v) = 0 (at maximum height)Initial velocity (u) = ?v = u + gt
0 = u + (-9.8 × 1.6)
0 = u - 15.68
Collect like terms
u = 0 + 15.68
u = 15.68 m/s
Thus, we can conclude that the initial velocity of the player is 15.68 m/s
Learn more about motion under gravity:
https://brainly.com/question/20385439
#SPJ1
A drag racer starts from rest and accelerates uniformly to a speed of 76.5 m/s in 8.5 seconds. what is the distance traveled by the car in the 8.5 s?
[tex]9 m/s^{2}[/tex] is the distance traveled by the car in the 8.5 s
U = 0 (rest)
V= 76.5 m/s
t= 8.5 second
a=?
We are related
V=u+at
76.5 m/s = 0+a×8.5
⟹a= 76.5/8.5 = [tex]9 m/s^{2}[/tex]
Hence, the car's acceleration [tex]9 m/s^{2}[/tex]
What is distance travelled?The route taken by a body to travel from a starting point to an ending location in a predetermined amount of time and at a predetermined speed is known as the distance travelled. Considering a constant velocity:
Distance is calculated as time multiplied by velocity.
The formula is denoted as d = v×t.
D is the distance, as stated.
V is the speed.
t is the time.
The formula for calculating distance traveled can be used to calculate how far driving a car or swimming laps in a pool will take you.
The distance and speed while driving an automobile are measured in kilometers per hour, respectively.
The distance swim will be measured in terms of laps while doing laps in a pool.
To learn more about distance traveled, visit:
https://brainly.com/question/13258147
#SPJ4
A person who weighs 100 pounds steps onto a scale which indicates that they weigh 200 pounds. he/she gets off the scale, steps back on, and it still reads 200 pounds. that scale is considered:________
The scale is said to be reliable but not valid.
A person weighing 100 pounds is expected to return the same weight on mounting a scale, measuring 200 pounds means the scale is probably uncalibrated. However, when the person steps off and climbs back and the scale still shows 200 pounds this means the scale is reliable but not valid. The scale would have been rendered unreliable and invalid if it returns a different weight of the person. Hence, the scale is working but needs to be calibrated properly. It is also probable that the scale had been earlier set to 100 pounds which explains the reason for a doubled result.
To learn more about measuring tools. Click, https://brainly.com/question/17524724
#SPJ4
Suppose that you are standing on a cardboard carton that just barely supports you. what would happen to the cardboard box if you jumped up in the air? it will
The cardboard box will collapse when you jumped up in the air.
When they are standing over the cardboard. Cardboard is supporting our weight which results in the whole system is in equilibrium position.
In the equilibrium condition the box will not collapse. But as soon as you want to jump in the upward direction then a force has to be applied. in the upward direction there will be an acceleration according to the Newton second law.
As we know, Newton's third law states that every action has an equal and opposite reaction.
So to push the body upward, we will push the cardboard in the downward direction. With equal force by which we have to make a jump.
Due to this jump the systems equilibrium will not maintained and the box will collapse.
The cardboard box will collapse when you jumped up in the air.
To know more newton's law
https://brainly.com/question/15280051
#SPJ4
On mars, the acceleration due to gravity is 3.77 m/s2. how far would a 47 g rock fall from rest in 6.5 s if the only force acting on it was the gravitational force due to mars?
On mars the rock that fall from rest in 6.5 s with an acceleration due to gravity of 3.77 m/s² would far a distance of: 79.64125 m
The free fall formula and the procedure we will use is:
h = (g * t²)/2
Where:
g = acceleration due to gravityt = timeh = height traveledInformation of the problem:
g = 3.77 m/s²t = 6.5 sh =?Applying final height formula we get:
h = (g * t²)/2
h = (3.77 m/s² * (6.5 s)²)/2
h = (3.77 m/s² * 42.25 s²)/2
h = 159.2525 m/2
h = 79.64125 m
What is free fall?It is when the object or mobile falls from a height (h) with a positive acceleration equal to the gravity, describing a vertical rectilinear travel.
Learn more about free fall at brainly.com/question/11257529
#SPJ4
What are the slope and the y-intercept of the linear function that is represented by the graph?
On a coordinate plane, a line goes through points (negative 3, 0) and (negative 2, 4).
The slope is 3, and the y-intercept is 9.
The slope is 3, and the y-intercept is 12.
The slope is 4, and the y-intercept is 9.
The slope is 4, and the y-intercept is 12.
ANSWER IS D
LETS GO BACK TO INDIANA CERA 1983 JUST 4 BOYS IN THE BASEMENT CHILLIN PLAYIN D&D THERE WAS LUCUS THERE WAS WILLIY WILL THERE WAS DUSTIN THERE WAS MIKE BUT ONE NIGHT WILL GOES MISSING WHILE HE RIDING ON HIS BIKE YAS! THAT'S WHEN THEY MET ME ELEVEN I HAD NO HAIR ON MY HEAD I HAD BEEN SO CLOSE TO DEAD CURTOSIY DOCTOR BRENNER WAS HUNTING ME 24/7 JOYCE WAS HANGING CHRISTMAS LIGHTS ON THE WEB STARTING HEARING SOME WILLY HAD SAID THIS COULD BE A MESSAGE FROM THE BEYOND WHAT HAPPEND TO BARB SHE'S JUST GONE IN THE UPSIDE DOWN HOPPER'S ONTOP OF THE CASE WHILE IM GOING DOWN INTO SPACE TRYING MY BEST TO FIND WILLY DUSTIN GOT PUDDING FOR DAYS DEMEGORGANS GETTING ALL IN MY WAY BLAST EM TO PEICES JUST LIKE A GRENADE WHAT HAPPEND TO ME IM IN THE UPSIDE DOWN WHAT ABOUT NOW
Answer:
D. The slope is 4, and the y-intercept is 12.
Explanation:
Use slope formula.
y2-y1/x2-x1
Points are (-3, 0) and (-2, 4)
4-0/-2+3=
=4/1=4
Slope is 4.
Use point slope formula.
y-y1=m(x-x1)
y-0=4(x+3)
y=4x+12
The y-intercept is 12.
D. The slope is 4, and the y-intercept is 12.
Hope this helps!
Please mark as brainliest if correct!
How many grams of solid magnesium nitrate (148.3 g/mol) should be added to 500 ml of 0.118 m of sodium nitrate in order to produce an aqueous 0.25 m solution of nitrate ions?
4.89g of solid magnesium nitrate (148.3 g/mol) should be added to 500 ml of 0.118 m of sodium nitrate in order to produce an aqueous 0.25 m solution of nitrate ions.
Solution and ExplanationFrom the given info, we know that there is already the presence of nitrate already mixed in the solution. then we have to find out how more is required to be added to it.
first, we find moles of NaNO3
0.500L x 0.118 M = 0.059 moles NaNO3
this means there are 0.059 moles of[tex]NO^{-} _{3}[/tex]
Here volume is not changing, so amount of moles needed to make this concentration = 0.25M x 0.5L = 0.125 moles
0.125 - 0.059 moles = 0.066 moles of [tex]NO^{-} _{3}[/tex] required to be added in the solution.
for every 1 mole of Mg[tex](NO^{-} _{3} )_ {2}[/tex], there are 2 moles of [tex]NO^{-} _{3}[/tex].
so, we will only need half of the total moles of magnesium nitrate.
converting moles to grams,
0.033 moles Mg[tex](NO^{-} _{3} )_ {2}[/tex] x 148.3 g/mol = 4.89g Mg[tex](NO^{-} _{3} )_ {2}[/tex]
To know more about such solution concentration related problems, visit:
https://brainly.com/question/13961988
#SPJ4
John needs to measure the brightness of a light bulb using the metric system. in which unit does he express his measurement?
A. liter
B. meter
C. kilogram
D. candela
Option D: John will express his brightness unit in candela.
HOW IS THE BRIGHTNESS OF A LIGHT MEASURED?Power, or the rate at which energy is utilized or produced over time, is measured in watts. Energy providers utilize watts to calculate the amount of electricity we use in Kilowatts per Hour (kWh), which is equivalent to 1,000 watts used for one hour.
A fundamental unit of measurement for the amount of visible light that a light source emits is called a lumen (lm), also known as luminous flux.
Simply put, to assess the power of a lamp inside a lighting fixture, look for the total number of Lumens.
SUCCESS FOR LUMINAIREIn addition to the light itself, a number of other elements must be considered when estimating the amount of light that is emitted. Most lamps are housed in a light fixture that is composed of diffusers and reflectors, among other parts.
These variables, along with others like the shape and number of lights, will affect the luminaire’s brightness and light dispersion.
Luminaire efficacy considers these factors to give a more accurate estimation of the lumens generated by the entire luminaire once it is fully constructed.
To know more about this brightness unit, Visit:
https://brainly.com/question/1625855
#SPJ4
Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position. a(t) = 6 i 3 j, v(0) = k, r(0) = i
Use the fundamental theorem of calculus.
[tex]\displaystyle \vec v(t) = \vec v(0) + \int_0^t \vec a(u) \, du[/tex]
[tex]\displaystyle \vec v(t) = \vec k + \int_0^t (6\,\vec\imath+6\,\vec\jmath) \, du[/tex]
[tex]\boxed{\vec v(t) = 6t\,\vec\imath + 6t\,\vec\jmath + \vec k}[/tex]
[tex]\displaystyle \vec r(t) = \vec r(0) + \displaystyle \int_0^t \vec v(u) \, du[/tex]
[tex]\displaystyle \vec r(t) = \vec\imath + \displaystyle \int_0^t (6t\,\vec\imath + 6t\,\vec\jmath + \vec k) \, du[/tex]
[tex]\boxed{\vec r(t) = (3t^2 + 1)\,\vec\imath + 3t^2\,\vec\jmath + t\,\vec k}[/tex]
The velocity vector is v(t) = 6t i + 3t j + k, and the position vector is r(t) = [tex]\rm 3t^2 i + (3/2)t^2 j + kt + i.[/tex]
We have to integrate the specified acceleration vector to obtain the velocity vector of the particle before integrating the velocity vector to obtain the position vector of the particle.
So, the acceleration vector: a(t) = 6i + 3j
We will the find the velocity vector,
To find the velocity vector, we integrate the acceleration vector with respect to time 't':
∫a(t) dt = ∫(6i + 3j) dt
when we integrate with respect to time 't' that gives us:
v(t) = 6t i + 3t j + C
where 'C' is the constant of integration.
Using the initial velocity condition to find 'C':
Given initial velocity: v(0) = k
Substitute t = 0 into the velocity vector equation:
v(0) = 6(0) i + 3(0) j + C
k = C
So, C = k
We put the value of 'C' back into the velocity vector equation:
v(t) = 6t i + 3t j + k
Calculate the position vector r(t):
To find the position vector, we integrate the velocity vector with respect to time 't':
∫v(t) dt = ∫(6t i + 3t j + k) dt
Integrating with respect to time 't' gives us:
r(t) = [tex]\rm 3t^2 i + (3/2)t^2 j + kt + D[/tex]
where 'D' is the constant of integration.
We use the initial position condition to find 'D':
Given initial position: r(0) = i
Substitute t = 0 into the position vector equation:
r(0) = [tex]\rm 3(0)^2 i + (3/2)(0)^2 j[/tex]+ k(0) + D
i = D
So, D = i
when we put the value of 'D' back into the position vector equation:
r(t) = [tex]\rm 3t^2 i + (3/2)t^2 j + kt + i[/tex]
Therefore, the velocity vector is v(t) = 6t i + 3t j + k, and the position vector is r(t) = [tex]\rm 3t^2 i + (3/2)t^2 j + kt + i.[/tex]
Learn more about velocity vector, here:
https://brainly.com/question/33520497
#SPJ7
A 23.23 g sample of a compound contains 7.41 g of potassium, k, 6.72 g of chlorine, cl, and oxygen, o. calculate the empirical formula.
The empirical formula is KClO₃
Empirical formula - The simplest whole no. combination of element in that compound.
The empirical formula of the compound is calculated :
sample of compound (mass) ,M = 23.23g
potassium, k, = 7.41 g
chlorine, cl,= 6.72
oxygen, o, = ?
[tex]M = k_{m} + Cl_{n} + o_{p}[/tex]
23.23g = 7.41g + 6.72g + o
o = 9.1g
the moles of each element, (moles) = mass/ molar mass
moles of K = 7.41g/39 g/mol(molar mass of K) = 0.18 moles
moles of Cl = 6.72g/35.5 g/mol(molar mass of Cl) = 0.18 moles
moles of O = 9.1g/ 16g/mol(molar mass of O) = 0.57 moles
then calculate e mole ratio by dividing each mole by the smallest number of moles ( 0.18 moles)
K= 0.18/0.18= 1
Cl=0.18/0.18=1
O= 0.56/0.18=3
Hence the empirical formula = KClO₃
To know more about empirical formula :
https://brainly.com/question/9312817
#SPJ4
Newton did not discover gravity, for early humans discovered that whenever they fell. what newton did discover is that gravity _______.
What Newton discovered is that gravity extends throughout the universe.
What is gravity?The term gravity refers to the force that acts on a body in the universe. It is gravity that makes an object to fall when it is thrown up. The force of gravity acts on every object in the universe and it extends through the universe.
Humans have always known about gravity when they fall from a height and when they threw things up. However, human did not know that gravity extends throughout the universe.
Thus, what Newton discovered is that gravity extends throughout the universe.
Learn more about gravity:https://brainly.com/question/4014727
#SPJ1
How is the density of a fish controlled? how is the density of a submarine controlled?
The density of a fish is controlled by the expansion and contraction of its air sacs while the density of a submarine is controlled by ballast tanks. It was emphasized earlier that buoyant forces does not equal an objects weight but does equal the weight of displaced water.
What are mass, density, and volume ?The three most fundamental characteristics of an object are mass, volume, and density. Volume indicates something's size, mass indicates how heavy it is, and density is calculated as mass divided by volume. Although you deal with mass and volume on a daily basis, the concept of density is less clear-cut and requires careful consideration.
Mass divided by density equals volume; and. Volume times density equals mass. A liquid's density is a gauge of how heavy it is relative to the amount being measured. The liquid that weighs heavier is more dense if you weigh two liquids with similar volumes or amounts.
The relationship between a substance's mass and the amount of space it occupies is known as its density (volume). The density of a substance is determined by the mass, size, and arrangement of its atoms.
To learn more about density , visit
brainly.com/question/14686323
#SPJ4
Drag the tiles to the correct boxes to complete the pairs.
Recall how Newton’s investigation of light followed one form of the scientific method. Match the statements about Newton’s experiment with the steps in the scientific method.
Tiles
White light becomes a spectrum of seven
colored lights after passing through a prism.
What happens to a single color of light
when it passes through a prism?
A single color of light will not change
when it passes through a prism.
White light passes through a prism. A slit
is used to direct only the red light through
a second prism.
When the red light goes through a second
prism, its color does not change.
The hypothesis proposed for this experiment
is true.
The colors in a spectrum are part of white
light, and the prism separates them.
Pairs
Make an observation.
arrowBoth
Ask a question.
arrowBoth
Construct a hypothesis.
arrowBoth
Test the hypothesis with an investigation.
arrowBoth
Analyze the data.
arrowBoth
Confirm whether the hypothesis is true.
arrowBoth
Explain the results.
arrowBoth
Newton's optics experiment observation and intervention. In order to make his observations, Newton used the theory of light passing through prisms and the rays that were sent by them. It was revealed that light has a variety of properties and features.
Prisms, lenses, and optical rays were the basis of Newton's inquiry into light.According to him, different coloured lights had varying degrees of re-frangibility.Newton adopted the "Proof by Experiments" method to back up his theories. Each technique was chosen to highlight a particular quality of light.Newton found a phenomenon called the Newton rings.After pressing two prisms together, Newton saw that there was a translucent area.To learn more about light, visit :
https://brainly.com/question/15200315
#SPJ9
I added an image of the answers/ Hope this helps! good luck on it.
A worker at the top of a 459-m-tall television transmitting tower accidentally drops a heavy tool. if air resistance is negligible, how fast (in m/s) is the tool going just before it hits the ground?
A worker at the top of a 459-m-tall television transmitting tower accidentally drops a heavy tool. If air resistance is negligible, how fast (in m/s) is the tool going just before it hits the ground?
The rule of conservation of energy (the heavy tool’s potential energy at a height of 551 meters above the ground becomes its kinetic energy at ground level) allows us to determine the speed of the object when it hits the ground:
Kinetic Energy Equals Potential EnergyPE=KE
Since mgh=1/2mv2, the mass can cancel out.
In the case where g=9.81m/s2, gh=1/2v2
V=√2gh
=√2*9.81m/s2*459
=3 m/s
It’s possible for an object to have both kinetic and potential energy at once. For instance, a falling object that has not yet hit the ground has both kinetic and potential energy because it is traveling downward and has the capacity to go still further.
The mechanical energy of an object is the total of its potential and kinetic energies.
A falling object loses potential energy while gaining kinetic energy. The difference between the increase in kinetic energy and the decrease in potential energy is exact.
To know more about kinetic and potential energy visit:
https://brainly.com/question/6536722
#SPJ4
Particle dislodgement in the filtration process is generally undesirable, except during?
Particle dislodgement in the filtration process is generally undesirable, except during high pressure jets of water applied to filter media during a backwash.
Define filtration process.Filtration is a physical separation procedure that uses a filter medium with a complicated structure that only allows fluid to pass through it to separate solid particles and liquid from a combination. Filtrate is the term for the liquid that passes through the filter medium and is used to describe solid particles that are too large to pass. Larger-than-average particles have the potential to blind the filter by blocking the filter lattice and forming a filter cake on top of the filter. The term "effective pore size" refers to the size of the biggest particles that may successfully pass through a filter.
To know more about filtration, visit:
https://brainly.com/question/4336354
#SPJ4
When graphically adding vectors in two dimensions, each vector
arrow begins at the origin and proceeds in the direction of the vector
for a distance proportional to the magnitude of the vector.
TRUE
FALSE
It is true that when graphically adding vectors in two dimensions, each vector arrow begins at the origin and proceeds in the direction of the vector for a distance proportional to the magnitude of the vector.
An item with both magnitude and direction is referred to as a vector. A vector can be visualised geometrically as a directed line segment, with an arrow pointing in the direction and a length equal to the magnitude of the vector. The vector points in a direction from its tail to its head. The process of adding two or more vectors together to create a vector sum is known as vector addition.To learn more about vectors, visit :
https://brainly.com/question/13322477
#SPJ9
The four phases of matter include all of the following except _____.
a. water
b. gas
c. liquid
d. plasma
e. solid
The correct answer is option A. Water is not a state/ phase of matter
What are the states of matter?States are those phases that describe its physical attributes as well as how its constituent particles are arranged. Solid, liquid, gas, and plasma are the four main states of matter that can exist.
When something melts, it transitions from a solid to a liquid condition.
Water has a freezing point of 0°C.The melting point of flour is around 220 degrees Celsius, which is greater than that of salt and sugar. Sublimation is the process by which a solid transforms into a gaseous state, as in the case of camphor. Examples of changes in the states of matter include the melting of ice, the freezing of water, the burning of camphor, the melting of wax, and the production of precipitates.
To know more about the states of matter visit:
https://brainly.com/question/19746836
#SPJ4