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
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 :
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I added an image of the answers/ Hope this helps! good luck on it.
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.
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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.
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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.
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.
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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.
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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].
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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.
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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]
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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.
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A. assuming a perpetual inventory system and using the weighted average method, determine the weighted average unit cost after the october 22 purchase. round your answer to two decimal places.
Assuming a perpetual inventory system and using the weighted average method, the weighted average unit is determined as $11.44 after the October 22 purchase.
What is Weighted Average Cost (WAC)?The Weighted Average Cost (WAC) method of inventory valuation in accounting uses a weighted average to establish the COGS and inventory levels.
The price of the products up for grabs is divided by the quantity of them in the weighted average cost technique.
The WAC technique is appropriate under both GAAP and IFRS accounting. Weighted Average Cost (WAC) Method Formula
Weighted Average CostWeighted Average Unit Costs = [360 units×$12 + (320-180) ×$10] / [360+(320-180)]units}
Weighted Average Unit Costs = $5720 / 500 units
Weighted Average Unit Costs = $11.44
Costs of goods that are offered for sale are calculated using beginning inventory value plus acquisitions.
Units available for sale are the number of units that can be sold by a company or the total number of units that are in its inventory.
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Sunlight is the energy source for the light reactions. the energy sources for the carbon reactions are:________
Sunlight is the energy source for the light reactions.
The energy sources for the carbon reactions are NADPH and ATP.
Energy - The ability to do work.
ATP - Adenosine triphosphate
energy currency of the cell.produced by cellular respiration.chemical formula - C10H16N5O13PNADPH - Nicotinamide adenine dinucleotide phosphate.
main reducing power of the cell.produced by pentose phosphate Chemical formula- C21H29N7O17PATP and NADHP are used to fix the carbondioxide (CO₂)
They are produced during the light reaction of photosynthesis.
Overall purpose of the reaction is to convert solar energy to chemical energy.
The energy sources for the carbon reactions are NADPH and ATP.
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A violin string has a length of 0. 350m and is tuned to concert G, with f_G = 392Hz(b) If this position is to remain correct to one-half the width of a finger (that is, to within 0. 600 cm ), what is the maximum allowable percentage change in the string tension?
The maximum allowable percentage change is 3.8% in the string tension
Length of the string lg as given in the question = 0.350m
frequency of concert G f_g as given in the question= 392 Hz
The maximum allowable percentage change in string tension for this frequency remains constant and the given allowed interval of the change of the length
Formulating the equation and solving:
Let f be the frequency, T be the tension and U be the length of the wave
f = 1/2L*[tex]\sqrt{} T/U[/tex]
df = 1/2[tex]\sqrt{} U[/tex]*[tex](1/2\sqrt{}T- Ldt - dL\sqrt{}T)/L^{2}[/tex]
df = 0
dT/T = 2*(dL/L)
= 2*0.6/31.2
dT/T = 0.038
Percentage change in string tension 3.8%
The maximum percentage change in string tension is 3.8%
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How much heat is required to evaporate 230 lb. of water per hour under a pressure of 111.3 psig, of the water enters the boiler at 190 f?
Heat required to evaporate the water to steam is 5342 KJ
We know that,
[tex]Q_{t}[/tex] = c * m * ( [tex]T_{f}[/tex] - [tex]T_{i}[/tex] )
where,
[tex]Q_{t}[/tex] = Heat required to raise the temperature
c = Specific heat capacity
m = Mass
[tex]T_{f}[/tex] = Final temperature
[tex]T_{i}[/tex] = Initial temperature
Given that,
m = 230 lb = 104.33 kg
[tex]T_{i}[/tex] = 190 F = 87.78 °C
[tex]T_{f}[/tex] = 100 °C (Because water boils at 100 °C to turn into steam)
c = 4190 J / kg °C
[tex]Q_{t}[/tex] = c * m * ( [tex]T_{f}[/tex] - [tex]T_{i}[/tex] )
= 4190 * 104.33 * 12.22
[tex]Q_{t}[/tex] = 5341883.79 J = 5342 KJ
Heat is the amount of energy transferred between two bodies
Therefore, Heat required to evaporate the water to steam is 5342 KJ
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A baseball is thrown at a velocity of 98.4 miles per hour. what is the speed in m/s?
A baseball is thrown at a velocity of 98.4 miles per hour. The speed in m/s is approximately 43.73 m/s.
The velocity or speed means the amount of distance we have travelled per unit time.
The speed given is 98.4 miles/hour
V = 98.4 miles/hour
Since, 1 miles = 1.6 km = 1600 m
1 hour = 3600 s
So the speed in metre per second is:
V = [tex]\frac{98.4 \times 1600}{3600} m/s[/tex]
[tex]\approx 43.73 \ m/s[/tex]
Hence, the speed in m/s is approximately 43.73 m/s.
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A bullet brand unknown is fired from the feg p9r pistol. suppose the velocity (at 15 feet) of the bullet us 1,000 feet per second. is the bullet likely to be manufactured by winchester?
No, the bullet is not likely to be manufactured by Winchester.
Given:
X = 936
S=10\ss=10
We are unable to use the empirical rule since we do not know if the distribution is symmetric or skewed.
According to Chebyshev’s rule, which states that at least 89% of the data values are contained within 3 standard deviations of the mean, can be used to help us.
Overline x 3s=936 3(10) = 906 x 3s = 936 3(10) = 906
Overline x +2x = 936 + 3 (10), which becomes x +2x = 936
Thus, between 906 and 966 is the range for at least 89% of the velocities.
Empirical principle approximately 68.3 percent of the values in a data set with a symmetric distribution will be within one standard deviation of the mean, approximately 95.4 percent will be within two standard deviations of the mean, and approximately 99.7 percent will be within three standard deviations of the mean.
Usual values fall within 3 standard deviations of any mean and 1000 does not come within 3 standard deviations of the mean, thus it is unlikely that the bullet with velocity 1000 feet per second was manufactured by Winchester.
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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.
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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.
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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]
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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.
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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
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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 :
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What is the device called that uses special weights and magnetic fields to measure the movement of the ground?.
A seismograph is a device called that uses special weights and magnetic fields to measure the movement of the ground.
A seismograph is a particular device that records seismic waves caused by an earthquake, explosion, or other earth-shaking events. Seismographs have electromagnetic sensors that convert ground motions into electrical changes that are processed and recorded by the instrument's analog or digital circuits.
The terms "seismograph" and "seismometer" are frequently used interchangeably; however, while both devices can detect and measure seismic waves, only a seismograph can record them. A seismogram is a record produced by a seismograph on a display screen or paper printout.
Although originally designed to detect natural earthquakes, seismographs have a wide range of applications, including petroleum exploration, research into the Earth's crust and lower layers, and monitoring volcanic activity.
Seismographs are devices that record the movement of the ground during an earthquake. They are installed on the ground as part of a seismographic network all over the world.
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Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = 7 cos(t)i 6 sin(t)j v(t) = a(t) = |v(t)| =
The velocity, acceleration and speed are -
v(t) = - 7sin t [tex]i[/tex] + 6cos t [tex]j[/tex]
a(t) = - 7cos t [tex]i[/tex] - 6sin t [tex]j[/tex]
s(t) = [tex]\sqrt{(7cos\;t) ^{2} +(6sin\;t)^{2} }[/tex]
We have the position vector → r(t) = 7cos(t) i + 6sin(t) j
We have to determine the velocity, acceleration and speed of particle.
What is the formula to calculate the instantaneous velocity and acceleration of object ?The instantaneous velocity and acceleration can be calculated using -
v = [tex]$\frac{dx}{dt}[/tex]
a = [tex]$\frac{dv}{dt}[/tex]
According to the question, we have -
r(t) = 7cos(t) i + 6sin(t) j
The velocity can be calculated using -
v(t) = [tex]$\frac{dr(t)}{dt} = \frac{d}{dt}\;(7 cos\;t \;i + 6 sin\;t\;j)[/tex] = - 7sin t [tex]i[/tex] + 6cos t [tex]j[/tex]
The acceleration can be calculated using -
a(t) = [tex]$\frac{dv(t)}{dt} = \frac{d}{dt}\;(-7 sin\;t \;i + 6 cos\;t\;j)[/tex] = - 7cos t [tex]i[/tex] - 6sin t [tex]j[/tex]
The speed at time t can be found out as follows -
|r(t)| = [tex]\sqrt{(7cos\;t) ^{2} +(6sin\;t)^{2} }[/tex]
Hence, the velocity, acceleration and speed are -
v(t) = - 7sin t [tex]i[/tex] + 6cos t [tex]j[/tex]
a(t) = - 7cos t [tex]i[/tex] - 6sin t [tex]j[/tex]
s(t) = [tex]\sqrt{(7cos\;t) ^{2} +(6sin\;t)^{2} }[/tex]
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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.
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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.
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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.
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A parallel plate capacitor of capacitance c0 has plates of area a with separation d between them. When it is connected to a battery of voltage v0, it has charge of magnitude q0 on its plates. While it is connected to the battery, the space between the plates is filled with a material of dielectric constant 3. After the dielectric is added, the magnitude of the charge on the plates and the new capacitance are.
The dielectric strength of a dielectric substance is equal to the greatest magnitude of the external electric field that does not cause electrical breakdown. When an electric field is applied to a dielectric, the dielectric will transform into a conductor at a point known as electrical break down.
Given that
A parallel plate capacitor consists:
Capacitance Co
Plates of Area A
Separation distance between the plates d
Voltage of a battery Vo
Magnitude of charge Qo
Dielectric constant K=3
the capacitance of parallel plate capacitor when there is free space between the plates is given by
Co = εoA/d
Where εo is permittivity of free space.
If the battery is connected to the parallel plate capacitor, the gap between the plates is filled with dielectric constant. The capacitance of the parallel plate capacitor for the medium will then be determined.
a) C=KεoA/d
=3εoA /d
=3 Co
Now, the potential difference between the plates will be
b) Vo =QC
Vo=QC
Hence, the magnitude of charge by adding dielectric medium will be
c) Q= CVo
=3εoA Vo /d
=3 Co Vo
=3 Qo
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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.
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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
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