The student changed more than one independent variable.
A dependent variable is a variable that changes as a result of the manipulation of the independent variable. It's the result you want to measure and it depends on the independent variable. In statistics, the dependent variable is also called the response variable it responds to changes in another variable.
In other words, the two characteristics of the experimental design we've talked about so far are that the experiment must have at least two comparable conditions, and the researcher must match the participants to the conditions, not the participants themselves. That's it. The independent and dependent variables are those when you run the experiment. The independent variable is the one that changes and the dependent variable is the one that changes.
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A 1000 kg car is moving with a constant speed. It is being pushed with 3000 N of force. Find the coefficient of kinetic friction, k. (Hint: You should find the acceleration of the car first so you can find the net force).
The acceleration of the car can be given as,
[tex]a=\frac{F}{m}[/tex]Plug in the known values,
[tex]\begin{gathered} a=\frac{3000\text{ N}}{1000\text{ kg}}(\frac{1kgm/s^2}{1\text{ N}})_{} \\ =3m/s^2 \end{gathered}[/tex]The net force which acts on the car is,
[tex]F=ma[/tex]The frictional force acting on the car is,
[tex]f=\mu_kmg[/tex]The net force is balanced by the frictional force which can be solved as,
[tex]\begin{gathered} \mu_kmg=ma \\ \mu_k=\frac{a}{g} \end{gathered}[/tex]Substitute the known values,
[tex]\begin{gathered} \mu_k=\frac{3m/s^2}{9.8m/s^2} \\ =0.306 \end{gathered}[/tex]Thus, the coefficient of kinetic friction is 0.306.
How do you find the energy transferred to water ? I had the temperature of water, highest water temp,increase in water temp, mass of metal block(iron), and decrease in metal block
Apply : ( for each element)
Q = m x c x ΔT
Where:
Q= heat
m= mass
c = specific heat capacity
ΔT = temperature change
A child is swinging on a playground swing. If she completes one full cycle (i.e. back and forth one time) in 5 seconds, What is the frequency of the swing? What is the period?
Given:
The child completes one full cycle in,
[tex]t=5\text{ s}[/tex]To find:
Frequency and the period
Explanation:
The time for one complete oscillation is called the period of an oscillation.
So, the time period is,
[tex]T=5\text{ s}[/tex]The frequency is,
[tex]\begin{gathered} f=\frac{1}{T} \\ =\frac{1}{5} \\ =0.2\text{ Hz} \end{gathered}[/tex]Hence, the frequency is 0.2 Hz and the period is 5 s.
why isnt senator naismiths argument convincing?
Senator Naismith's argument is not convincing because he committed a fallacy of hasty generalization.
What is an Argument?This is referred to as a form of disagreement between two or more parties and statements are usually used in this scenario so as to determine the truth about the subject topic. Arguments can be written or being spoken depending on the condition at that point in time.
In Senator Naismith argument, he mentioned that "everyone knows that poop does not contain anything healthy" which is fallacy of generalization and is not a valid claim due to it not being proved and was only used in that context.
This is therefore the reason why the Senator's argument was regarded as not being convincing and is therefore the reason why it was chosen as the correct choice.
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The table shows data for four planetary bodies. If your mass is 68.05 kg, howmuch gravitational force would you experience on the surface of Mercury?Newton's law of gravitation is F gravity=Gmma. The gravitational constantGis 6.67 × 10-11 N-m2/C?. (For the purposes of calculating the gravitationalforce between a planet and an object on its surface, the distance r is theradius of the planet.)
Answer:
about 251.6 N
Explanation:
You want the force due to gravity on the planet Mercury for a mass of 68.05 kg. Mercury has a mass of 3.30×10²³ kg, and a radius of 2.44×10⁶ meters.
ForceThe force due to gravity between masses M and m is given by the formula ...
F = GMm/r² . . . . . where G ≈ 6.67×10⁻¹¹
For the given masses, the force between them is ...
[tex]F=\dfrac{GMm}{r^2}=\dfrac{(6.67\times10^{-11})(3.30\times10^{23})(68.05)}{(2.44\times10^6)^2}\approx\boxed{251.6\quad\text{N}}[/tex]
You would experience a force of 251.6 newtons on the surface of Mercury.
Your mission to Mars team needs a mars rover to slide down a frictionless ramp as shown to the right if the max acceleration that the rover can handle down the ramp before breaking apart is 0.513 m/s squared A. what is the maximum angle that the ramp can be made with the horizontal?B. Use your answer from A & the fact that Mars has a rover mass is 1025 kg to find the normal force on the inclined plane?
Given,
The maximum acceleration that the rover can handle, a=0.513 m/s²
(A)
The rover slides down the ramp under the influence of gravity. The component of the gravity that provides the rover with the required acceleration is the component that is along the ramp.
Thus,
[tex]g\sin \theta=a[/tex]Where g is the acceleration due to gravity and θ is the angle of inclination of the ramp.
On substituting the known values,
[tex]\begin{gathered} 9.8\times\sin \theta=0.513 \\ \Rightarrow\theta=\sin ^{-1}(\frac{0.513}{9.8}) \\ =3\degree \end{gathered}[/tex]Thus the maximum angle that the ramp can be made with the horizontal is 3°
(B)
Given, the mass of the rover, m=1025 kg
The normal force will be equal to the vertical component of the weight of the rover.
That is,
[tex]N=mg\cos \theta[/tex]On substituting the known values,
[tex]\begin{gathered} N=1025\times9.8\times\cos 3\degree^{} \\ =10031.2\text{ N} \end{gathered}[/tex]Thus the normal force on the rover is 10031.2 N
Match the word with the correct definition. 1. racket A. as someone says or something shows 2. in fact B. completely different in direction or position 3. perpendicular C. a piece of sports equipment used to hit a ball 4. opposing D. not able to stretch or bend easily 5. inelastic E. forming a 90-degree angle 6. according to F. used to emphasize what is true
The words with their correct definition include the following below:
1. racket - C. a piece of sports equipment used to hit a ball.
2. in fact - F. used to emphasize what is true.
3. perpendicular - E. forming a 90-degree angle.
4. opposing - B. completely different in direction or position.
5. inelastic - D. not able to stretch or bend easily.
6. according to - A. as someone says or something shows.
What is Inelastic?This is a word which is is referred to as a variable not being sensitive to changes or other parameters and is also used to describe a substance which can't stretch or bend easily.
In other to emphasize something which is true or valid , in fact is used which is the correct choice.
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Which of the following is a strategy for encoding a message? (Select all that apply.)
The following is a strategy for encoding a message that is gesturing.
The communication process begins when a sender or sender selects words symbols images, etc. to represent the message to be conveyed to the recipient. This process known as encoding involves putting thoughts ideas, or information into symbolic form. Coding is the process of transforming thoughts into communication. Encoders use the medium to send messages phone calls emails text messages face-to-face meetings, or other means of communication.
There are varying levels of conscious thought in encoding messages. Encoding and decoding a message is the process of first converting the original text into a random meaningless text called ciphertext. This process is called encoding. Decryption is the process of converting this ciphertext back to the original text. This process is also called the encryption-decryption process. The process of converting a set of characters into a specific format for efficient transmission or storage.
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A 22-g bullet traveling 250 m/s penetrates a 1.5 kg block of wood and emerges going 135 m/s .
a)If the block is stationary on a frictionless surface when hit, how fast does it move after the bullet emerges?
The speed of the block of wood of mass 1.5 kg after the bullet of mass 22 g emerges from the block of wood is 1.69 m / s
According to law of conservation of momentum,
[tex]m_{1}[/tex] [tex]v_{1}[/tex] + [tex]m_{2}[/tex] [tex]v_{2}[/tex] = [tex]m_{1}[/tex] [tex]v_{1}[/tex]' + [tex]m_{2}[/tex] [tex]v_{2}[/tex]'
Let the bullet be object 1 and the block of wood be object 2.
[tex]m_{1}[/tex] = 22 g = 0.022 kg
[tex]m_{2}[/tex] = 1.5 kg
[tex]v_{1}[/tex] = 250 m / s
[tex]v_{1}[/tex]' = 135 m / s
[tex]v_{2}[/tex] = 0
After substituting these values,
( 0.022 * 250 ) + ( 1.5 * 0 ) = ( 0.022 * 135 ) + ( 1.5 * [tex]v_{2}[/tex]' )
5.5 + 0 = 2.97 + 1.5 [tex]v_{2}[/tex]'
[tex]v_{2}[/tex]' = 2.53 / 1.5
[tex]v_{2}[/tex]' = 1.69 m / s
Therefore, the block of wood would move at 1.69 m / s after the bullet emerges.
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An object is traveling 5 km/hr and after 2 hours is traveling 80 km/hr. What is the acceleration?
O 37.5 km/s²
O 7.5 km/s2
O 37.5 km/hr2
7.5 km/hr2
O
According to the given statement is the Acceleration is 37.5 km/hr².
The correct option is C.
What is acceleration ?Acceleration is the rate at which direction and speed of velocity vary over time. A point or object going straight ahead is pushed when it accelerates or decelerates. Regardless of whether the speed is constant, movement on a circle accelerates because the orientation is always changing.
How does acceleration change with speed?If the velocity is rising, the car is advancing positively. The car's speed drops as it slows. Negative acceleration indicates a speed reduction. The car is moving forward in both situations, but one acceleration is positive and the other is negative.
Briefing:The initial velocity of the car is= 5km/hr
The Final velocity of the car is = 80km/hr
The Time taken by the car is = 2 hr
Acceleration= velocity/time
80-5/2
37.5 km/hr²
Acceleration is 37.5 km/hr².
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The complete question is-
An object is traveling 5 km/hr and after 2 hours is traveling 80 km/hr. What is the acceleration?
A- 37.5 km/s².
B- 7.5 km/s².
C- 37.5 km/hr².
D- 7.5 km/hr².
I need help with this question how to solve it for Brass and Cooper
Take into account that density and relative density are given by:
[tex]\begin{gathered} \text{density}=\text{ mass/volume} \\ \text{relative density = density/density of water} \end{gathered}[/tex]Take into account that the volume associated to each of the given sustances in the table is determined by the Level Difference (because it is the change in the volume of the water of the recipient in which the substance is immersed).
The density of water in kg/m^3 is 1000 kg/m^3.
Due to the density must be given in kg/m^3, it is necessary to express the volumes of the table in m^3 and mass in kg, then, consider the following conversion factor:
1 m^3 = 1000000 ml
1 kg = 1000 g
Then, you obtain the following results:
Brass:
[tex]\begin{gathered} 53.2g\cdot\frac{1kg}{1000g}=0.0532kg \\ 6ml\cdot\frac{1m^3}{1000000ml}=0.000006m^3 \\ \text{density}=\frac{0.0532kg}{0.000006m^3}\approx8866.67\frac{kg}{m^3} \\ \text{relative density=}\frac{(\frac{8866.66kg}{m^3})}{(1000\frac{kg}{m^3})}\approx8.87 \end{gathered}[/tex]Cooper:
[tex]\begin{gathered} 57.4g=0.0574kg \\ 6ml=0.000006m^3 \\ \text{density}=\frac{0.0574kg}{0.000006m^3}\approx9566.67\frac{kg}{m^3} \\ \text{relative density=}\frac{\frac{9566.67kg}{m^3}}{1000kg}=9.57 \end{gathered}[/tex]CER (claim, evidence, reasoning)
Claim: Human powered generators are the best energy source for the rescure team.
Evidence: Human powered generators can be used to transfer enrgy any time somone is there to turn the crank.
Reasoning: ?
The reasoning that can be used to agree with the claim that has ben made is that the human powered generators are the best due to the fact that they would not have to require the long time and they would not have to consume resources.
What is a claim?This is the term that is used to refer to a statement or an assertion that has been made which has not yet been proven.
The human powered generators are the best due to the fact that they would not require the resources that are known to be more consuming. That is they are renewable and like fossils they would not have any forms of adverse effects on the environment that they are used.
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100 J of work are done by a pushing force in order to move an object 2 m. Use this information to calculate the size of the pushing force. Use the symbol equation below to help you.
W = F s
The size of the pushing force, given that 100 J of work was done through a distance of 2 m is 50 N
How to determine the size of the forceWork can be defined as the product of force and distance moved in the direction of the force.
Work done (Wd) = force (F) × distance (d)
Wd = fd
With the above formula, we can detertmine the force. Details below
From the question given above, the following data were obtained:
Workdone (Wd) = 100 JDistance (d) = 2 mForce (F) = ?Work done (Wd) = force (F) × distance (d)
100 = Force × 2
Divide both sides by 2
Force = 100 / 2
Force = 50 N
Thus, the pushing force is 50 N
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For the following, determine the meaning of the bolded word by using
definition and example clues from the text.
The snake wound itself around its prey, entwining the
mouse within its body.
A. The state of being wrapped around something
OB. A force of nature
C. An injury to the body
D. The action of hurting someone
All measurements are subject to some uncertainty. Is this true or false?
All measurements in the measured with some uncertainity which is regardless of the accuracy considered while measurements.
This uncertainity reflects the incomplete knowledge or the systematics errors due to the instruments used.
Hence, the given statement is true.
In physics, a system is defined as the portion of the universe that has been chosen for study. Systems may be complex, such as a whole planet, or simple, such as the water inside a pot. The universe outside the system is called the surroundings. A closed system is one that does not exchange matter with its surroundings and does not experience any outside forces. An open system, on the other hand, can exchange matter with its surroundings and does experience outside forces.
The idea of systems and surroundings was not always part of physics. In 1824, the French physicist Nicolas Carnot applied the idea of systems to thermodynamics. A little later, German physicist Rudolf Clausius added the idea of surroundings. Today, system and surroundings are terms applied also to mechanical systems, as well as used in other scientific fields such as biology.
Examples of open systems are common in everyday life. A car driving down a road is a system. The car engine produces exhaust, which is matter passed to its surroundings. Friction between the car and the road is an outside force that acts on the system. Closed systems are rare in everyday life. They are commonly used in physics laboratories to simplify system analysis and calculations.
So, what questions can help someone decide whether the system under consideration is open or closed? The first question to ask is: Does the system exchange matter with its surroundings? If yes, it is an open system. If no, it is a closed system. The second question is: What is the source of the forces experienced by the system? If all forces originate within the system, the system is closed. If forces act on the system from outside of the system, it is an open system.
QUESTION 1
A student has chosen to study a swinging pendulum. The pendulum would be ____________.
OPTIONS
a system
the surroundings
a universe
a force
QUESTION 2
Which of the following statements describes a closed system?
OPTIONS
It exchanges matter with its surroundings.
Its surroundings act on the system.
It experiences only forces originating from within.
None of the above
QUESTION 3
Which of the following statements about cars indicates that they are an open system?
OPTIONS
Friction is present between different parts of the engine.
The car burns gasoline and produces exhaust.
The engine heats up as the car is driven.
The faster the car is driven, the faster its tires turn.
QUESTION 4
What is the most common use of closed systems?
OPTIONS
To minimize environmental damage
To create more efficient systems
To simplify system analysis
To predict system structure and behavior
QUESTION 5
Which of the following questions is important for deciding whether a system is open or closed?
OPTIONS
Does the system exchange matter with its surroundings?
Is the system composed of multiple parts?
Does the system contain more than one state of matter?
Is the system natural or man-made?
The pendulum would be a system. The statements describes a closed system is "It experiences only forces originating from within". The most common use of closed systems is to simplify system analysis
The pendulum would be a systemThe statements describes a closed system is the it experiences only forces originating from withinThe statement that indicates that the car is an open system is that the car burns gasoline and produces exhaustThe most common use of closed systems is to simplify system analysisTo decide whether a system is open or closed, the important question will be "Does the system exchange matter with its surroundings?"A closed system is one that does not exchange matter with its surroundings and does not experience any outside forces. An open system, on the other hand, can exchange matter with its surroundings and does experience outside forces
Therefore, the correct options are
A systemIt experiences only forces originating from withinThe car burns gasoline and produces exhaustTo simplify system analysisDoes the system exchange matter with its surroundings?To know more about open and closed system
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How much heat is necessary to change 460 g of ice at -18°C to water at 20°C? kcal
Given:
The mass of ice is,
[tex]m=460\text{ kg}[/tex]The initial temperature of ice is,
[tex]t_i=-18^{\circ}C[/tex]The heat for this ice to become 0 degree C ice is,
[tex]\begin{gathered} H_1=460\times0.5\times18 \\ =4.14\text{ kcal} \end{gathered}[/tex]The heat needed for 0 degree ice to 0 degree water is,
[tex]\begin{gathered} H_2=460\times80 \\ =36.8\text{ kcal} \end{gathered}[/tex]Now the heat for the final step to reach 20 degrees is,
[tex]\begin{gathered} H_3=460\times1\times(20-0) \\ =9.2\text{ kcal} \end{gathered}[/tex]The total heat is,
[tex]\begin{gathered} H=4.14+36.8+9.2 \\ =50.1\text{ kcal} \end{gathered}[/tex]Hence the total heat is 50.1 kcal.
A motorist driving a 1172-kg car on level ground accelerates from 20.0 m/s to 30.0 m/s in a time of 5.00 s. Ignoring friction and air resistance, determine the average mechanical power in watts the engine must supply during this time interval.
The average mechanical power in watts that the engine must supply during this time interval is 58600 watts.
CALCULATION:-
The work done on an object by means of a net pressure equals the change in kinetic energy of the object:
W = KEf - KEi
W = 1/2m(vf² - vi²)
=1/2*1172*[30²-20²]
=293000 JOULE
Power is the rate at which work is performed. it's miles the paintings/time ratio. Mathematically, it's far computed the use of the following equation.
Power = Work/time
P = W / t
=293000/5
=58600 joule
Whilst pressure acts upon an object to cause a displacement of the object, it's miles said that work became accomplished upon the item. The kinetic energy of an object is the strength that it possesses due to its movement.
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What is malleability and brittleness? How do they affect the physical changes in solid materials? 20 pts please!!!!!!!!!!!!!!!!!
Explanation:
malleability is the property of a material that has the ability to deform under compressive stress.
brittleness is when a material is subjected to stress and it fractures with little elastic deformation and without significant plastic deformation.
2. Justin Beiber (mass 60kg) fell off a 108m cliff and
landed in the sea. How fast was he going when he hit
the water?
Justin Beiber (mass 60kg) fell off a 108m cliff and landed in the sea. The velocity of him when he was going when he hit the water is (V)=46.08 m/s.
What is velocity?Velocity is a term of physics that is used to decide the value of object's covered distance in a constant time. It can be measured in m/s and cm/s.
How can we calculate the velocity?To calculate the velocity we are using the formula here is, v²-u²=2gh
Here we are given,
u= The initial velocity of Justin Beiber = 0 m/s.
g= The acceleration due to gravity. = 9.8 m/s².
h= The height of the cliff. = 108m.
We have to calculate the final velocity of Justin Beiber = v.
Now we put the values in above equation, we get,
v²-u²=2gh
Or, v²-(0)²=2*9.8*108
Or, v²=2116.8
Or, v=46.008 m/s
From the above discussion we can say that, the velocity of him when he was going when he hit the water is (V)=46.08 m/s.
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If it takes Ashley 4.5 seconds to run at an average speed of 5.5 meters per second, what is the distance (in meters) she covers in that time? Round your answer to one decimal place.
Given:
The average speed of Ashley is,
[tex]v=5.5\text{ m/s}[/tex]The time for which Ashley runs is,
[tex]t=4.5\text{ s}[/tex]The distance Ashley covers in this time are,
[tex]\begin{gathered} d=vt \\ =5.5\times4.5 \\ =24.7\text{ m} \end{gathered}[/tex]Hence, the distance is 24.7 m.
hello I am using kinematic equations to find the projectile motion of the ball. in a question I am given the range of flight dx= 1.02time of flight t=1.20s height if launch dy=1mI need help finding the time to the highest point and velocity of ball upon impact
Given
x = 1.02 m
t = 1.20s
y = 1m
Procedure
The time of flight of a projectile motion is the time from when the object is projected to the time it reaches the surface.
The maximum height is reached when vy = 0 Using this we can rearrange the velocity equation to find the time it will take for the object to reach maximum height
[tex]\begin{gathered} t=\frac{v_y}{g} \\ t=\frac{5.88\text{ m/s}}{9.81\text{ m/s}^2} \\ t=0.6s \end{gathered}[/tex]
Calculate the net force.
If you are dividing an objects distance traveled by its speed, you are calculating its
Time of travel
Displacement
Momentum
Acceleration
If you are dividing an objects distance traveled by its speed, you are calculating its Time of travel.
What is Time of travel?
Time travel is the idea of moving between certain moments in time, similar to moving between various points in space by a person or an object, usually with the use of a fictitious machine called a time machine. The idea of time travel is well known in philosophy and literature, especially science fiction. H. G. Wells' 1895 book The Time Machine popularised the concept of a time machine. It is unknown whether going back in time is physically possible, and if it is, there may be causality issues that arise. It has been widely seen and is generally understood within the context of special relativity and general relativity to be possible to move through time in the opposite direction from how we typically perceive it.
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What information is needed to calculate the gravitational force of an object? (1 point)
the mass of the two objects
O the distance between the two objects
the mass of the object and the planet's gravitational acceleration
O the mass of the object subtracted from the distance between the object and the planet's core
Answer:
C
Explanation:
the mass of the object and the planet’s gravitational acceleration
Answer:
1)the mass of the object and the planet’s gravitational acceleration
2)2.6 times less force
3)The Earth has a greater gravitational attraction than the Moon.
4)980 N
5)The force would need to be greater, so they would not perform as well.
I did it and have a 5/5 100%
A rocket-powered hockey puck has a thrust of 4.70 N and a total mass of 2.20 kg. It is released from rest on a frictionless table, 5.00 m from the edge of a 2.40 m drop. The front of the rocket is pointed directly toward the edge. How far does the puck land from the base of the table?
Scientists utilize empirical methods to examine the natural world, which means that they are founded on observations and experimentation rather than on personal beliefs or emotions.
Activities and procedures involving scientists' quest of knowledge are referred to as scientific inquiry.
The physical world is what?Physical science studies the inorganic cosmos. To put it another way, it doesn't study living things. Science that investigates life, or biology, studies those.
The four main subfields of physical science are astronomy, physics, chemistry, and the Earth sciences, which include meteorology and geology.
The systematic study of the physical universe is known as science. The foundation of science is the observation of that reality. Science is both empirical and developing.
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Which of the following describes how agricultural effects on forests differ from the oil industry’s effects on forests?Agricultural use leads to more damage from forest fires.Agricultural use does more harm to animal life in forests.Agricultural use requires the clearing of forest land for human’s needs.Agricultural use damages forest areas more slowly over a longer time period.
Agricultural use requires the clearing of forest land for human's needs.
Because oil damages the forest area over time due to pollution, agricultural use does not leads to more damage from forest fires and agricultural use does not harm animal life in forest. Therefore, third option is the correct one.
It takes a force of 150 newtons to move a 300 newton object up a ramp to a height of 3 meters. How could you reduce the amount of force needed to move an object?Select one:a. Make the ramp higher.b. Make the ramp longer.c. Make the ramp shorter.d. Lift the object without the ramp.
Explanation
Step 1
Diagram:
Step 2
the work done by an object is defined as:
the product of the displacement of an object and the component of the applied force which is in the direction of the object's displacement:
[tex]Work=force*distance*cos(angle)[/tex]so,let
[tex]\begin{gathered} displacement\text{ =}3m \\ force=\text{ 150 N} \end{gathered}[/tex]therefore,l to reduce the amount of force needed , we need to affect the distnace or the angle
Step 3
let's check every option
A)Make the ramp higher.
as the distnace becomes greater the force must increase too, so this is not the rigth option,in other words , a higher distnace will neeed a stronger force
B)making the ramp longer will make the angle becomes smaller, and this makes the distance becomes greater,
C) when yuo make the ramp shorter ,you will need the same force because the displacementis vertical
when the angle becomes smaller, the work will be the same, but the distnace and force, change, cos
[tex]\begin{gathered} Work=force*distance*cos(angle) \\ cos\text{ \lparen angle}\Rightarrow0)=1 \\ so,\text{ } \end{gathered}[/tex]when the angle goes to 0° degrees the required force becomes smaller, so
the answer is
b. Make the ramp longer.
D)finally, if yuo lift the object witouth the ramp ( vertically) , the distnace becomes smaller, ( only 3 m),but the force is the total weigth of the object ( 300 N)
I hope this helps you
A camera has a lens diameter of 0.0444m. What wavelength of light INNANOMETERS must it use to resolvetwo objects 550 m away that are0.00718 m apart?[?] nm
Given:
• Diameter, D = 0.0444 m
,• Distance, x = 0.00718 m
,• d = 550 m
Let's find the wavelength in nanometers.
Apply the formula:
[tex]sin\theta=\frac{1.22\lambda}{D}[/tex]Where:
λ is the wavelength,
Also, we have the formula:
[tex]\begin{gathered} sin\theta=\frac{x}{d} \\ \\ sin\theta=\frac{0.00718}{550} \\ \\ sin\theta=1.30545\times10^{-5}\text{ m} \end{gathered}[/tex]Now, plug in 1.30545 x 10⁻⁵ m for sinθ in the first equation.
Where:
D = 0.0444
Thus, we have:
[tex]\begin{gathered} sin\theta=\frac{1.22\lambda}{D} \\ \\ 1.30545\times10^{-5}=\frac{1.22\lambda}{0.0444} \\ \\ \lambda=\frac{1.30545\times10^{-5}*0.0444}{1.22} \\ \\ \lambda=\frac{5.796\times10^{-7}}{1.22} \\ \\ \lambda=4.751\times10^{-7}m \end{gathered}[/tex]In nanometers, the wavelength will be:
[tex]\begin{gathered} \lambda=475.1\times10^{-9}m \\ \\ \lambda=475.1\text{ nm} \end{gathered}[/tex]Therefore, the wavelength in nanometers is 475.1 nm.
• ANSWER:
475.1 nm
What is the x component of a vector that is defined as 852 at 302^o
Answer:
451 m
Explanation:
The x component of a vector can be calculated by multiplying the magnitude of a vector by the cosine of the angle, so the x component of the vector of 852 m at 302° is
852cos(302) = 451.4 m
Therefore, the answer is 451 m
