Answers
Answer:
The answer would be D. electrical energy into mechanical energy.
Explanation:
Many devices are used to convert mechanical energy to or from other forms of energy, e.g. an electric motor converts electrical energy to mechanical energy, an electric generator converts mechanical energy into electrical energy and a heat engine converts heat energy to mechanical energy.
An electric mixer is one of the many examples of devices.
Related Questions
Jasmine took the following notes in science class:
Which is the best title for these notes?
Answers
Answer:
Definition of a scientific theory.
Answer:
theories on edge
Explanation:
With the aid of diagram(s), explain the configuration of a tensile force measurement using strain gauge (without bridge). Derive the relationship between the change in resistance and the tensile force, P. With the derived relationship, determine the change in resistance for a strain gauge that is installed on a beam that is being pulled axially by a 50 kN tensile force. Given that for the strain gauge, F = 2, R = 1200, and for the beam, E = 200 10 kNm 2, width = 5cm and thickness = 1cm.
Answers
In a tensile force measurement using a strain gauge, the strain gauge is typically attached to the surface of the material experiencing the tensile force. The strain gauge is a resistive sensor that changes its electrical resistance in response to the deformation or strain of the material.
When a tensile force is applied to the material, it causes the material to deform. This deformation results in a change in the length and cross-sectional area of the material. The strain gauge, being bonded to the surface of the material, also experiences this deformation, which causes a change in its resistance.
The relationship between the change in resistance (∆R) and the tensile force (P) can be derived using the concept of strain and the gauge factor (GF) of the strain gauge. The gauge factor is a constant that represents the sensitivity of the strain gauge and is typically provided by the manufacturer.
The relationship is given by the equation:
∆R = GF * R * ε
Where:
∆R is the change in resistance of the strain gauge,
GF is the gauge factor of the strain gauge,
R is the initial resistance of the strain gauge,
ε is the strain experienced by the material.
To determine the change in resistance for a strain gauge installed on a beam being pulled axially by a 50 kN tensile force, additional information is required. Specifically, the length of the beam and the modulus of elasticity (E) of the material. With this information, the strain (ε) can be calculated using the equation
ε = δL / L
Where:
δL is the change in length of the beam,
L is the initial length of the beam.
Once the strain is determined, the change in resistance can be calculated using the derived relationship ∆R = GF * R * ε, where GF and R are given as 2 and 1200, respectively.
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A car runs at a constant speed of 15ms-1 for 30secs, and then accelerates uniformly to a speed of 25ms-1 over a time of 20secs. this speed is maintain for the next 300secs before the car is brought to rest with uniform deceleration in 30secs.
a. draw the velocity time graph of the motion. and calculate
b. the total distance traveled by the car
c. average speed of the car
Answers
Answer:
a. Please find the attached velocity time graph of the car's motion created with Microsoft Excel
b. The total distance traveled by the car is 8,725 meters
c. The average speed of the car is 22.9605263 m/s
Explanation:
The given parameters of the motion are;
The initial speed of the car, v₁ = 15 m/s
The time during which the car runs at the initial speed, t₁ = 30 seconds
The new speed the car then accelerates at 'a₁' to, v₂ = 25 m/s
The duration it takes for the car to accelerate to the new speed = 20 seconds
The time during which the car runs at the initial speed = 300 seconds
The time it takes the car to be brought to rest with a deceleration, 'a₂' from the new speed (20 m/s) = 30 seconds
The final speed of the car at rest, v₃ = 0 m/s
The acceleration, a₁ = (v₂ - v₁)/t₁ = (25 - 15)/20 = 1/2 m/s²
The deceleration , a₂ = (v₃ - v₂)/t₁ = (0 - 25)/30 = -5/6 m/s²
a. Please find attached the drawing of the velocity time graph of the motion created with Microsoft Excel
b. The total distance traveled by the car, 'Δx', is given b the area under the velocity time graph as follows;
Area of trapezoid, A₁ = (320 + 300)/2 × 10 = 3,100
Area of rectangle, A₂ = 15 × 350 = 5,250
Area of triangle, A₃ = 1/2×30×25 = 375
The total area under the velocity time graph = A₁ + A₂ + A₃ = 3,100 + 5,250 + 375 = 8,725
The total area under the velocity time graph = The total distance traveled by the car, Δx = 8,725 meters
c. The average speed of the car is given as follows;
\(The \ average \ speed \ of \ the \ car, \overline v =\dfrac{\Delta x}{\Delta t} = \dfrac{The \ total \ distance \ traveled by \ the \ car}{The \ total \ time \ the \ car \ travels}\)
Where;
Δt = The total time during which the car travels
∴ The average speed of the car = 8,725 m/(380 s) = 22.9605263 m/s
2 soccer players kick a ball at the same instant. one strike a force of 40N at 0° and the other 30N at 90° from positive x axis. find the resultant force on the ball
Answers
The resultant force on the ball is 50 N.
What is resultant force?Reusltant force can be defined as the sum of the force acting on a object.
Note: From the question, the forces from both kicks are at right angle to each other.
And to calculate the resultant force on the ball, we use the formula below.
Formula:
R = √(P²+Q²)........... Equation 1From the question,
Given:
P = 40 NQ = 30 NSubstitute these values into equation 1
R = √(40²+30²)R = √(1600+900)R = √(2500)R = 50 NHence, the resultant force on the ball is 50 N.
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The current illustrated in the diagram is directed upward in a straight vertical wire. A compass is placed alongside the wire at the X mark. Which way will the compass point?
- north
- south
- west
- east
The right answer is South. But why? Thank you.
Answers
Answer: South
Explanation:
According to the right-hand thumb rule, if the thumb's direction indicates the current, then the wrapping of fingers gives the direction of the magnetic field.
In the given case, magnetic field lines around the wire are in the form of concentric circles. If the compass is placed at x, then the direction of the magnetic field line will be tangential to the concentric circles, which will point toward the south.
Read the following excerpt and pick which statement best summarizes the text.
"The Spread of the Great Depression as U.S. factories closed and banks failed, Americans did less and less business overseas, thus spreading the Great Depression through much of the world. Across Europe, factories slowed production or shut their doors. Millions of workers lost their jobs. Workers spent day after day searching for work or begging for handouts. On the street corners of crowded cities, from London to Berlin to Rome, unemployed workers.
Europe's parliaments struggled to deal with the Great Depression. As the hard times worsened and people saw their hopes crushed, they grew restless and bitter. Many saw the the Depression was the fault of factory owners and capitalism. Others blamed the leaders they had elected. In many cities, frustrations erupted in riots and protests. The situation in Germany was especially unstable. The nation's economy was a wreck, even though Germany had largely escaped the physical damage of World War I. No French or British bombardments had leveled German cities. The country's fields were undamaged, and its cities and factories still functional. Germans tended to blame foreigners, minorities for the countries problems when rather than face their nations problems. Germany's post-war government was ineffective. In 1919, the nation became a republic. Many Germans complained that democracy had only made things worse, splintering politicians into parties that did nothing but argue while the economy went to ruin. Extremist parties of Communists and Fascists(Nazis) became more powerful.
In Europe, a kind of totalitarianism called fascism (FA-shi-zuhm) was taking root. In the 1930s, fascist governments glorified the nation above all else. They insisted that all citizens put the interests of the state ahead of their individual interests. Fascist thinking grew out of feelings of nationalism that had swept Europe in the decades leading up to World War I. After the chaos of the war, people desperately longed for order, stability, and something to believe in. Power-hungry leaders channeled the people's desperation into the idea of devotion to their state. Nationalism, taken to an extreme, rotted into fascism"
A.The text describes how the United States saved Europe after WWI and helped build successful democracies there.
B.The text highlights the specific ways in which the Soviet Union became a
powerful and industrialized nation under the authoritarian rule of Stalin.
C.The text demonstrates how the economic and political chaos of WWI and the Great Depression led to the rise of Fascist dictators in Europe.
D.The text outlines the rise and fall of totalitarian leaders during both of the world
wars.
Answers
The most accurate summary is C. The text demonstrates how the economic and political chaos of WWI and the Great Depression led to the rise of Fascist dictators in Europe.
The excerpt primarily focuses on the consequences of the Great Depression and the aftermath of World War I in Europe. It describes how the economic downturn in the United States led to the closure of factories and banks, which in turn had a negative impact on international trade and spread the Great Depression to other parts of the world. As a result, Europe faced a slowdown in factory production, high unemployment rates, and social unrest.
The text also highlights the political struggles faced by European parliaments in dealing with the Great Depression. The growing frustration and bitterness among the population led to blame being placed on various factors, including factory owners, capitalism, and elected leaders. This discontent and unrest fueled the rise of extremist parties such as Communists and Fascists, with the text specifically mentioning the Nazis in Germany.
Moreover, the text explains how fascism took root in Europe during the 1930s. It describes how fascist governments promoted nationalism, demanded citizens' loyalty to the state above their individual interests, and exploited people's longing for stability and order after the chaos of World War I.
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A gold ball has a mass of 45g. In a speed test, a golf ball was driven from rest to a velocity of 90m/s.
a) If the time taken for the golf ball to reach this velocity was 0.0005 seconds. What acceleration was this?
b) What forces was applied to the golf ball?
Answers
Answer:
1)
Acceleration (a)=change in velocity/ change in time
Velocity (v)=90m/s
Time=0.0005s
a=90/0.0005
The acceleration =180000m/s^2 or 180km/s^2
Force = mass x acceleration
m=40g= 0.04kg
F= 0.04x 180000
F= 7200N or 7.2kN
Explanation:
Which best describes reflection and refraction?
In both reflection and refraction, rays pass through a boundary.
In both reflection and refraction, rays bounce off a boundary.
In reflection, rays bounce off a boundary, and in refraction, rays pass through a boundary.
In refraction, rays bounce off a boundary, and in reflection, rays pass through a boundary.
Answers
Answer:
The correct answer is the third option
Explanation:
To reflect means to bounce off. When an incoming ray (called incident ray) gets to a boundary and bounces off the boundary, that is referred to as reflection. However, when an incident ray passes through the boundary and it causes a change in the direction of propagation of the wave, that is referred to as refraction. Thus, the correct option, as explained above, is; In reflection, rays bounce off a boundary, and in refraction, rays pass through a boundary.
Answer:
c
Explanation:
on edge 2020
how do you find average velocity (vaverage) from acceleration (a) and time (t)?
Answers
Answer:
1) Average velocities:
Given the magnitudes of 2 velocity vectors, in different time instants, the average velocity is defined as the difference of the 2 velocity magnitudes, in absolute value, divided by the interval of time occuring between the measurement of the velocity magnitudes.
2) Average acceleration
Given the magnitudes of 2 acceleration vectors, in different time instants, the average acceleration is defined as the difference of the 2 acceleration magnitudes, in absolute value, divided by the interval of time occuring between the measurement of the acceleration magnitudes.
As you see the definitions are pretty similar.
Note: I didn't copy-paste this answers from any other site.
A 2kg block is initially at rest on a horizontal frictionless table. A force of 15N is then exerted on the block at an angle of 37° below the horizontal. The change in kinetic energy after moving 3m is?
Answers
Answer:
Approximately \(36\; {\rm J}\).
Explanation:
Under the assumption, there is no friction to hinder the motion of the block. As a result, the increase in the kinetic energy of the block would be equal to the external work done on the block.
Let \(F\) denote this magnitude of this force, let \(s\) denote the magnitude displacement, and let \(\theta\) denote the angle between this force and displacement. To find the work that this force has done on the block, use the formula:
\(\begin{aligned}(\text{work}) &= F\, s\, \cos(\theta)\end{aligned}\).
For example, since the block in this question is moving along a horizontal table, displacement of the block would be in the horizontal direction. It is given that the angle between this force and the horizontal direction is \(37^{\circ}\). Thus, the angle between the force and the displacement would be \(\theta = 37^{\circ}\).
Magnitude of this force is \(F = 15\; {\rm N}\), while magnitude of displacement is \(s = 3\; {\rm m}\). The work done on this block would be:
\(\begin{aligned}(\text{work}) &= F\, s\, \cos(\theta) \\ &= (15\; {\rm N})\, (3\; {\rm m})\, \cos(37^{\circ}) \\ &\approx 36\; {\rm N\cdot m} = 36\; {\rm J}\end{aligned}\).
Hence, the kinetic energy of this block would increase by \(36\; {\rm J}\).
If a ball clamped on a stand and then dropped into sand at what point did the energy of the ball transform from potential energy to kinetic energy
Answers
When it is dropping into the sand point the energy of the ball transform from potential energy to kinetic energy.
What is kinetic energy and examples?The energy of motion is known as kinetic energy, and it is manifested in the motion of a particle, an object, or a collection of particles. Any object that moves, such as a person walking, a ball being thrown, food falling from a table, or a charge particle in an electric field, utilizes kinetic energy.
What kind of energy is kinetic?Radiant, thermal, auditory, electrical, and mechanical kinetic energies are the basic categories. Gamma radiation and ultraviolet light, which are constantly travelling through the universe, are instances of radiant energy. Sound energy is kinetic energy that manifests as vibrations, such as when someone plays the drums
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Projectile Motion
a. Identify the variables (givens and unknown.) Remember to include the units.
B. Which kinematic formula should you use to solve?
C. Solve the problems.
An egg is thrown horizontally off the roof.
Which is 70 meters high, with an
initial velocity of 5.5 m/s. How long does it take to hit the ground? How far
does it go in the x direction?
3 variable
Variable Chart Given and Unknown?
PLEASE HELP ME FAST ITS 25 POINTS
Answers
Answer:thx
Explanation:
Use the drop-down menus to complete the
sentences below.
Cocoa mix is the
DONE
Water is the
DONE
The picture shows a great deal of Cocoa mix on
the surface. Suppose that no more cocoa can be
dissolved. The solution has reached
Answers
Answer:
Solute
Solvent
Saturation
Explanation:
A great deal of cocoa mix on the surface. Cocoa is the solute. Water is the solvent. The solution has reached the saturation.
What is the saturation?The saturation is the state at which the solute dissolves no more.
The liquid is more in quantity is the solvent which is water here. The cocoa is added next, which is the solute generally less in quantity than solvent.
The addition of cocoa is continued till it stops dissolving. This state is reached at saturation.
Therefore, Cocoa is the solute. Water is the solvent. The solution has reached the saturation.
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The average distance from Earth to the sun is 9.3 × 107 miles. How many kilometers isthis?A) 1.5 × 108 km D) 1.7 × 10-8 kmB) 1.5 × 105 km E) 1.5 × 1011 kmC) 5.6 × 107 km
Answers
The distance from Earth to the sun is approximately 1.5 x 10^8 kilometers.
To convert miles to kilometers, we can use the conversion factor 1 mile = 1.609344 kilometers.
So, to find the distance from Earth to the sun in kilometers, we can multiply the given distance in miles by the conversion factor:
d (km) = 9.3 x 10^7 miles x 1.609344 km/mile
d (km) = 1.496 x 10^8 km
Therefore, the distance from Earth to the sun is approximately 1.5 x 10^8 kilometers.
The closest answer choice is A) 1.5 x 10^8 km, which is the correct answer.
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3.2.2 Quiz: Energy of Chemical Relons Question 9 of 10 The energy diagram shows the changes in energy during a chemical reaction Which statement best describes the total energy change of the system? Potential energy Reaction progress
Answers
The reactants have a higher potential energy and energy is released.
What is the potential energy graph?The potential energy graph shows a plot of the progress of a reaction. The hump on the graph is the activation energy of the reaction.
The statement that best describes the total energy change of the system is that; reactants have a higher potential energy and energy is released.
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An object accelerates uniformly from rest. If the final velocity of the object after 4.7s is 15 m/s east, what is the magnitude displacement
Answers
The displacement of the object that accelerates uniformly from rest is 35.25 m due East.
What is displacement?Displacement can be defined as distance in a specified direction.
To calculate the displacement of the object, we use the formula below.
Formula:
s = (v+u)t/2............... Equation 1Where:
s = Displacement of the objectv = Final velocityu = Initial velocityt = Time.From the question,
Given:
v = 15 m/s eastu = 0 m/s (from rest)t = 4.7 sSubstitute these values into equation 1
s = (15+0)4.7/2s = 35.25 m due East.Hence, the displacement of the body is 35.25 m due East.
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HELP!!!What type of image is formed by a lens if m=-0.87?
A. The image is smaller than the object and is real
B. The image is smaller than the object and is virtual
C. The image is larger than the object and is virtual
D. The image is larger than the object and is real
Answers
Answer:
the images is smaller than the object and is real.
answer A
Explanation:
The faster an object moves:
A the more potential energy it has.
B the more kinetic energy it has.
C the faster its particles vibrate.
D the cooler it gets.
Answers
Answer:
b the more genetic energy
draw position time graph when speed is increasing
Answers
Explanation:
We need to draw position-time graph when the speed is increasing.
The slope of position-time graph gives the speed of an object.
Position means distance covered.
When the speed of an object is increasing with time. It means it is moving with increasing speed.
The attached figure shows the position -time graph when speed is increasing.
b) The below diagram represents a steel bandsaw plate wrapped around a pulley (R=160mm). The dimensions of the plate are: width = 20 mm and thickness = 2 mm. a) Calculate the maximum flexural stress developed in the bandsaw b) Find the minimum diameter pulley if the flexural stress is limited to 200 MPa Consider E = 180 GPa. w 2 mm 160 mm 20 mm 2 mm
Answers
a) To calculate the maximum flexural stress developed in the bandsaw, we can use the formula for flexural stress (also known as bending stress):
σ = (M * c) / (I * y)
where σ is the flexural stress, M is the bending moment, c is the distance from the neutral axis to the extreme fiber, I is the moment of inertia, and y is the perpendicular distance from the neutral axis to the extreme fiber.
In this case, the bandsaw plate is wrapped around a pulley, which creates a bending moment. The bending moment can be calculated as:
M = F * r
where F is the force applied to the bandsaw and r is the radius of the pulley.
The moment of inertia (I) can be calculated using the formula for a rectangular plate:
I = (w * t^3) / 12
where w is the width of the plate and t is the thickness of the plate.
Given the dimensions of the bandsaw plate (width = 20 mm, thickness = 2 mm) and the radius of the pulley (R = 160 mm), we can substitute the values into the equations to calculate the maximum flexural stress.
b) To find the minimum diameter pulley if the flexural stress is limited to 200 MPa, we rearrange the formula for flexural stress to solve for the bending moment:
M = (σ * I * y) / c
Then, we substitute the given values of the flexural stress (200 MPa) and the dimensions of the bandsaw plate (width = 20 mm, thickness = 2 mm) to calculate the bending moment.
Once we have the bending moment, we can rearrange the formula for the bending moment to solve for the radius of the pulley:
r = M / F
Substituting the calculated value of the bending moment and the desired flexural stress, we can determine the minimum diameter pulley.
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how do you know the pole on the left is the south pole and the pole on the right is the north pole?
Answers
Answer:
Left is deciamled to the right \(x_{123}\)
Explanation:
Which describes how electromagnetic waves travel?
Answers
Answer:
Travels through solid materials, and air.... but it can also travel through the vacuum of space
Explanation:
This armed
rover weighs 1900 N
and has a mass of
340 kg. What is the
acceleration due to gravity
on its current planet?
Please help
Answers
Answer:
5.59 m/s2
Explanation:
F = 1900 N
m = 340 kg
F = ma
Therefore, a = 1900/340 = 5.59
Explain what happen to a pring if the tretching force i increaed beyond the elatic limit
Answers
A material yields or flows when under stresses greater than its elastic limit. For such materials, the elastic limit signifies the transition from elastic to plastic behavior.
Stresses above the elastic limit cause fracture in the majority of brittle materials with almost minimal plastic deformation.
What is plastic behavior?
A material displays plastic behaviour under forces that exceed the elastic limit. This means that even after the load has been removed, the material has irreversibly changed shape and size. The material deforms plastically as the tension is gradually increased past the elastic limit.
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What is one way homeostasis benefits living organisms?
it maintains balance.
It reduces air pollution.
It increases food consumption
It regulates atmospheric temperature
Answers
Answer:
it maintains balance, it keeps body temperatures , heart rate and all other bodily functions regulated to keep the organism stable when the environment is not.
Answer:
What the other guy said.
Explanation:
Yeah I'm doing this so he can have brainliest.
We have an Atwood device, two blocks connect by a string strung over a pulley, but the twist this time is that both blocks are on perfectly smooth inclines. The upper block is on an incline 15 degrees to the horizontal and has a mass of 7kg. The lower block is on an incline of 65 degrees to the horizontal and has a mass of 11kg. Find the acceleration of the system?
Answers
The Acceleration of the system is 6.41 m/s².
Given,
α= 15°, m₁ = 7kg
β= 65°, m₂ = 11 kg
Let, a be the acceleration and T is the tensions at the end it's the cord.
Let, the mass m₂ be coming down along the inclined plane along the inclined surface towards downward m₂g sin β and the tension in the upward direction,
Resultant force, m₂a=m₂g sin β -T
11a=((11) ×g sin 65°) -T ...(i)
Now, considering the motion of m₁ which moves downwards, the forces are m₁g sinα, and T both are acting downwards.
Resultant force m₁a = m₁g sin α+T
7a =7g sin 15°+T ...(ii)
Solving both the equations by adding them,
18a=11gsin 65°+7g sin 15°-T+T
18a=11gsin 65°+7g sin 15°=115.45
a=115.45/18=6.41 m/s²
Hence, the Acceleration of the system is 6.41 m/s².
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acid rain is the result of pollutants being released into the
Answers
Acid rain is the result of pollutants being released into the air
What is acid rain ?Acid rain is defined as rain or any other type of precipitation that is unusually acidic, which means it contains a lot of hydrogen ions. Acid rain has a pH level that is lower than this and typically ranges from 4-5. Most water, including drinking water, has a neutral pH that exists between 6.5 and 8.5.
When gases like sulphur dioxide and nitrogen oxides are released into the atmosphere, a chemical reaction takes place that eventually results in acid rain. These substances have the capacity to ascend to extremely high altitudes in the atmosphere, where they combine and interact with oxygen, water, and other chemicals to create acid rain, a type of ozone-depleting haze.
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A solenoid with a length of 6.5 cm and 200 loops is carrying 5 A of current. What is the
strength of the magnetic field at the center of the solenoid? Label the north and south pole of
the solenoid.
Answers
The strength of the magnetic field at the center of the solenoid is 0.006 T
Magnetic field calculation.
The strength of the magnetic field at the center of a solenoid is given by:
B = μ₀ * n * I
where B is the magnetic field strength, μ₀ is the permeability of free space, n is the number of turns per unit length of the solenoid, and I is the current flowing through the solenoid.
In this case, the length of the solenoid is not given, but we can assume that it is much greater than the diameter of the solenoid, so we can treat it as a long solenoid. The number of turns per unit length is given as 200 loops divided by the length of 6.5 cm, or:
n = 200 / 0.065 m = 3076.92 turns/m
The current flowing through the solenoid is 5 A.
The permeability of free space, μ₀, is a constant with a value of 4π x 10^-7 T m/A.
Therefore, the magnetic field strength at the center of the solenoid is:
B = μ₀ * n * I
= 4π x 10^-7 T m/A * 3076.92 turns/m * 5 A
= 0.006 T
So the strength of the magnetic field at the center of the solenoid is 0.006 T. The north pole of the solenoid is the end from which the magnetic field emerges, and the south pole is the end where it enters.
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You are sharing a house with a few roommates. One of them plays on the basketball team, and is exactly 200 cm tall. The heights of you and the other roommates are 188 cm, 175 cm, and 160 cm. You want to buy the minimum height mirror that will allow all of you to see your entire selves, when the mirror is mounted in a fixed position on the wall. Assume each person's eyes are at a level 95% of their height. How tall a mirror should you buy
Answers
Answer:
119 cm
Explanation:
Given heights : 200cm , 188 cm , 175 cm, 160 cm
since the eyes are at 95% level
95% of 200 cm = 190 cm
95% of 160 cm = 152 cm
hence the allowable height of mirror = 200 - ( 5 + 76 ) = 119 cm
and The mirror should be hung 75cm from the floor
What is the approximate number of wavelengths of light that can travel in 1 direction within a retroreflecting bead that has a diameter of 5 × 10-5 m? (Note: The speed of light = 3 × 108 m/s, and its frequency is approximately 1015Hz.)
0.6
1.7 × 10^2
1.5 × 10^4
3.3 × 10^6
Answers
The approximate number of wavelengths of light that can travel in one direction within a retroreflecting bead that has a diameter of 5 ×\(10^-^5\) m is 167.
Number of wavelengths of light in a retroreflecting bead with 5 × 10^-5 m diameter?
This calculation is based on the formula n = L/λ, where n is the number of wavelengths, L is the length of the object, and λ is the wavelength of light. To calculate the wavelength of light, we use the formula c = λf, where c is the speed of light and f is the frequency of light.
In this problem, we are given the diameter of the retroreflecting bead, which is assumed to be spherical. Therefore, its length is equal to its diameter, which is 5 × \(10^-^5\)m. We are also given the speed of light, which is 3 × \(10^8\) m/s, and an approximation of the frequency of light, which is \(10^1^5\) Hz.
Using the formula c = λf, we can solve for the wavelength of light:
λ = c/f = (3 ×\(10^8\) m/s)/\((10^1^5\)Hz) = 3 ×\(10^-^7\)m
Finally, we can use the formula n = L/λ to calculate the approximate number of wavelengths of light that can travel in one direction within the retroreflecting bead:
n = L/λ = (5 ×\(10^-^5\) m)/(3 ×\(10^-^7\) m) = 166.67 ≈ 167
Therefore, the approximate number of wavelengths of light that can travel in one direction within a retroreflecting bead that has a diameter of 5 ×\(10^-^5\) m is 167.
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