The range of wavelengths that are received by the car radio are 2.78 m to 3.41 m.
To find the range of wavelengths, we use the equation for the speed of a wave
Speed of a waveThe speed of a wave v = fλ where
f = frequency and λ = wavelengthWhat is Wavelength?This is the distance a wave travels in one cycle of the wave.
Making λ subject of the formula, we have
λ = v/f
Given that the range of frequencies of FM radio is 88.0 MHz to 108 MHz and
v = speed of electromagnetic wave = 3 × 10⁸ m/s, f' = lowest frequency = 88.0 MHz = 88.0 × 10⁶ Hz and f" = highest frequency = 108 MHz = 108 × 10⁶ HzThe longest wavelength, λ'λ' = v/f'
= 3 × 10⁸ m/s ÷ 88.0 × 10⁶ Hz
= 0.0341 × 10² m
= 3.41 m
The shortest wavelength, λ"λ" = v/f"
= 3 × 10⁸ m/s ÷ 108 × 10⁶ Hz
= 0.0278 × 10² m
= 2.78 m
So, the range of wavelengths that are received by the car radio are 2.78 m to 3.41 m.
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A boy walks up a hill. His displacement from his starting point is (800, 150) m. How much gravitational potential energy has he gained?
Answer:
The potential energy gained is 1500m joule.
Explanation:
Hope this helps!
Answer:
Answer: He 1500m joule amount of gravitational potential energy
Explanation:
Good Luck
hope it helps
Mark as brainliest please
Diffraction explains
Diffraction explains
being able to hear sounds from outside a room throughout the whole room
creating images to adjust for eye problems
allow for the formation of rainbows
transmit images over long distances
An example of diffraction is being able to hear sounds from outside a room throughout the whole room.
What is diffraction?The term diffraction has to do with the bending of waves around an obstacle which causes the waves to spread out as they emerge on the other side.
One typical example of diffraction is being able to hear sounds from outside a room throughout the whole room.
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22. What is the length of a pendulum that has a period of 0.500 s?
Please show all of your steps to find the solution.
6.21 cm
use the pendulum formula : [tex]\sf \bold{\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{L}}{\mathrm{g}}}}[/tex]where
T is time or periodπ is pie = 22/7L is pendulum lengthg is acceleration due to gravityGiven:
T = 0.500 sg = 9.8 m/s²solving step-wise:
[tex]\dashrightarrow \mathrm{T}=2 \pi \sqrt{\dfrac{\mathrm{L}}{\mathrm{g}}}[/tex]
[tex]\sf \dashrightarrow \mathrm{0.5}=2 \pi \sqrt{\dfrac{\mathrm{L}}{\mathrm{9.8}}}[/tex]
[tex]\dashrightarrow \mathrm{\dfrac{0.5}{2 \pi } }=\sqrt{\dfrac{\mathrm{L}}{\mathrm{9.8}}}[/tex]
[tex]\dashrightarrow\sqrt{\dfrac{\mathrm{L}}{\mathrm{9.8}}}= \mathrm{\dfrac{0.5}{2 \pi } }[/tex]
[tex]\sf \dashrightarrow{\dfrac{\mathrm{L}}{\mathrm{9.8}}}= (\mathrm{\dfrac{0.5}{2 \pi } })^2[/tex]
[tex]\sf \dashrightarrow{{\mathrm{L}}= (\mathrm{\dfrac{0.5}{2 \pi } })^2*9.8[/tex]
[tex]\sf \dashrightarrow{{\mathrm{L}}=0.06205922 \ m[/tex]
1 m → 100 cm[tex]\sf \dashrightarrow{{\mathrm{L}}=6.2059\ cm[/tex]
[tex]\sf \dashrightarrow{{\mathrm{L}}=6.21\ cm[/tex] { rounded to nearest hundredth }
Let's see
[tex]\\ \rm\rightarrowtail T=2\pi \sqrt{\dfrac{l}{g}}[/tex]
[tex]\\ \rm\rightarrowtail 0.5=2\pi \sqrt{\dfrac{l}{9.8}}[/tex]
[tex]\\ \rm\rightarrowtail 0.783=\pi \sqrt{l}[/tex]
[tex]\\ \rm\rightarrowtail 0.2494=\sqrt{l}[/tex]
[tex]\\ \rm\rightarrowtail \ell=0.0622m[/tex]
Calculate the temperature for which the minimum escape energy is 15 times the average kinetic energy of an oxygen molecule. Answer in units of K.
The temperature for which the minimum escape energy is 15 times the average kinetic energy of an oxygen molecule is 10,684.4 K.
Conservation of energyThe temperature for which the minimum escape energy is 15 times the average kinetic energy of an oxygen molecule is determined by applying principle of conservation of energy as shown below;
E = K + U
E = K - GmM/R
0 = K - GmM/R
K = mgR
When the minimum escape energy is 15 times average kinetic energy;
15K = mgR
[tex]15 \times \frac{3}{2} kT = mgR[/tex]
where;
m is mass of oxygen per atom = (0.032 kg)/(6.02 x 10²³) = 5.316 x 10⁻²⁶ kg/atomg is acceleration due gravity = 9.8 m/s²R is radius of Earth = 6.371 x 10⁶ m.k is Boltzmanns’ constant = 1.38066 x 10⁻²³ J/K.[tex]T = \frac{2mgR}{15 \times 3k} \\\\T = \frac{(2)(5.316 \times 10^{-26})(9.8)(6.371 \times 10^6)}{45(1.38066 \times 10^{-23})} \\\\T = 10,684.4 \ K[/tex]
Thus, the temperature for which the minimum escape energy is 15 times the average kinetic energy of an oxygen molecule is 10,684.4 K.
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If a number of coplanar forces acting on a particle are in equilibrium, then
Explanation:
Then the algebraic sum of the moment of all the forces about any point is equal to the moment of the resultant force about the same point
If a number of coplanar forces acting on a particle are in equilibrium. then the moment of their resultant is equal to the sum of their individual moment.
What is the law of moments?If a number of co-planar forces operating on a particle are in equilibrium, the algebraic sum of their moments about any point equals the moment of their resultant force about the same point, according to the law of moments.
Hence If a number of coplanar forces acting on a particle are in equilibrium. then the moment of their resultant is equal to the sum of their individual moment.
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Which temperature scale does NOT have negative values?
Celsius
Fahrenheit
Kelvin
All of these are correct
Answer:
Kelvin scale degrees
Explanation: The Kelvin scale starts at 0°k, the lowest possible temperature, as at this point, all movement stops at an atomical level.
Answer:
Kelvin
Explanation:
Kelvin is the only temperature scale that when it hits 0, the universe would be frozen. it is the lowest possible temperature.
A piston in an automobile engine is in simple harmonic motion. Its amplitude of oscillation from the equilibrium (centered) position is ±6.83 cm and its mass is 2.708 kg.
Find the maximum velocity of the piston when the auto engine is running at the rate of 3590 rev/min.
Answer in units of m/s.
The maximum velocity of the piston when the auto engine is running at the given speed is 25.68 m/s.
Angular speed of the automobile
The angular speed of the automobile in radian per second is calculated as follows;
ω = 2πN
ω = 2π x (3590 /60 s)
ω = 375.94 rad/s
Maximum velocityThe maximum velocity of the piston is calculated using the following formula;
v(max) = Aω
v(max) = 0.0683 x 375.94
v(max) = 25.68 m/s
Thus, the maximum velocity of the piston when the auto engine is running at the given speed is 25.68 m/s.
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How you get a bucket of KFC past airport security?
Answer:
I am not sure in regards to other countries but USA let's anyone allow to take fried chicken.
Explanation:
Yes, the Transportation Security Administration (TSA) will allow you to bring fried chicken through airport security in your carry-on baggage. You can bring both homemade and takeout fried chicken through the TSA checkpoint. If the fried chicken isn’t already pre-packaged, it should be wrapped or placed in a resealable bag or container with a secure lid. There is no limit to the quantity of fried chicken you can bring in your carry-on: You can pack as much fried chicken as you’d like and will fit into your allowable hand luggage.
29. A pendulum with a period of 2.00000 s in one location (g=9.80m/s2) is moved to a new location where the period is now 1.99796 s. What is the acceleration due to gravity at its new location?
Please include all of your steps to the solution.
Answer:
9.82 m/s²
Explanation:
The time period of a pendulum, a body fixed to a pivot by means of a string, is given by the time it takes to complete a single cycle from right to left or left to rightThe formula is given as :⇒ T = 2π√(L/g) [← Important]
L represents the length of the string and g is the value of gravity due to acceleration
Original Time Period [To calculate length of the string]
T = 2π√(L/g)2 = 2π√(L/9.8)L = 9.8/π²L = 0.99646 m [← Keep in mind, we'll need it later!]Calculating value of g' (new acceleration)
T = 2π√(L/g')1.99796 = 2π√0.99646/g' [← From earlier!]g' = 9.82 m/s² (approximately)Hope it helped~
If c is a positive real number and ak=klnc, for what values of c, if any, does the infinite series ∑k=1[infinity]ak converge?
There is no value of c such that the infinite series converges.
How to analyze the converge of an infinite series
Convergence is a characteristic of infinite series, in which a sum tends to be a given number when n tends to +∞.
In this question we must prove for which values of c the infinite series may converge.
There are different criteria to prove whether a given series converges or not, one of the most used criteria is the ratio criterion, which states that:
[tex]r = \frac{a_{k+1}}{a_{k}}[/tex], where the series converges if and only if r > 1. (1)
If we know that [tex]a_{k} = k\cdot \ln c[/tex], then the rational formula is:
[tex]r = \frac{(k+1)\cdot \ln c}{k\cdot \ln c}[/tex]
[tex]r = 1 + \frac{1}{k}[/tex]
We notice that resulting expression does not depend on c and is greater than 1. Therefore, there is no value of c such that the infinite series converges. [tex]\blacksquare[/tex]
RemarkIf [tex]c[/tex] is a positive real number and [tex]a_{k} = k\cdot \ln c[/tex], for what values of [tex]c[/tex], if any, does the infinite series [tex]\sum_{k=1}^{\infty} a_{k}[/tex] converge?
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There is no values of c, for the infinite series ∑k=1[infinity]ak to be converge when c is a positive real number.
What do you mean by infinite series?The infinite series is the sum of addition of a sequence in which the number of terms present are infinite.
[tex]a_1+a_2+a_3....+a_n[/tex]
Here, ([tex]a_n[/tex]) is the nth term of the sequence. For infinite series, the ratio criterion can be given as,
[tex]r=\dfrac{a_{k+1}}{a_k}[/tex]
If c is a positive real number and
[tex]a_k=k\ln c[/tex]
Put the value in above shown ratio,
[tex]r=\dfrac{(k+1)\ln c}{k\ln c}\\r=\dfrac{k\ln c}{k\ln c}+\dfrac{\ln c}{k\ln c}\\r=1+\dfrac{1}{k}[/tex]
With the value of r, we can say whether the series is converge or not. This value of r does not depends on c.
Thus, there is no values of c, for the infinite series ∑k=1[infinity]ak to be converge when c is a positive real number.
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Which statement describes the particles that make up the rigid structure of a three-dimensional crystalline solid?
A. They move more quickly than the particles in the gas of the substance.
B. They move more quickly than the particles in the liquid of the substance.
C. They move around freely to various locations in a random pattern.
D. They move by vibrating in their locations within a fixed pattern.
Answer:
Explanation:
Did u get the answer
Answer:
D
Explanation:
How do we use information from earths climate change data in order to engineer soulutions that reduce carbon emissions and impact of human activities?
Answer:
That is a very broad question. One thing that does not seem to be considered is the depletion of the ozone layer at high altitudes.
In the 1960's chlorofluorcarbons (CFC,s) became popular as refrigerants, spray can propellants, etc. In January 1989 the Montreal Protocol was passed which has greatly reduced the use of these substances. However, it may be several decades before the ozone layer can be replaced and again absorb harmful ulraviolet rays that may be partly responsible for the increase in global warming.
(One chlorine atom at high altitudes can be responsible for the destruction of 100,000 molecules of ozone - catalytic reaction)
A block of mass m is suspended from two identical springs of negligible mass, spring constant k, and unstretched length l
The equation that shows the relationship between X₁ and X₂ in the springs is X₁ = 4X₂.
How to compute the equation?From the complete question, for case I, the two springs stretch up to the distance of X₁. Therefore, f = mg = kx₁.
For case 2, f = mg = kx₂.
Therefore, we'll equate the equations. This will be:
Kx₁ = Kx₂
(K/2)x₁ = (2k)x₂
K(x₁/2) = k(2x₂)
X₁/2 = 2x₂
X1 = 2 × 2x₂
X₁ = 4X₂.
In conclusion, X₁ = 4X₂.
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X₁ = 4X₂ is the equation that shows the connection between X₁ and X₂ in the springs.
What is spring force?The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is
F = kx
For case 1;
f=mg=kx₁
For case 2;
f=mg=kx₂
After equating the equation we get;
[tex]\rm Kx_1 = Kx_2 \\\\ \frac{K}{2}x_1 = (2k)x_2 = k(2x_2) \\\\ \frac{x_1}{2} =2x_2\\\\ x_1 = 4x_2[/tex]
Hence X₁ = 4X₂ is the equation that shows the connection between X₁ and X₂ in the springs.
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When do humans store fat molecules in their bodies? (1 pt. ) *
1. Humans store fat molecules every time they eat anything that contains Calories.
2. Humans store fat molecules when they eat food with a lot of fat.
3. Humans store fat molecules when they eat junk food.
4. Humans store fat molecules when they eat more Calories than they need.
A force of 25 N is used to push a box along the floor a distance of 3
m. How much work was done?
F = 25 N
s = 3 m
A = ?
A = F * s
A = 25 N * 3 m = 75 J
Answer: 75 J
Select the correct answer.
Which of the following social events are often centered around sporting events?
A. Tailgate Parties
B. Parades
C. Pep Rallies
D. All of the above
Rock layer that must be rich in organic matter that was subjected to heat and pressure over time during the formation of oil and natural gas.
The lowest rock layer is a layer that must be rich in organic matter that was subjected to heat and pressure over time during the formation of oil and gas.
What is the lowest rock layer?The lowest rock layer refers to the lowermost part of the Earth's mantle, which is a thin rock layer (approximately 250 km).
In the Earth, the layers of rocks are progressively deposited, thereby pressing them to the bottom to generate sedimentary rocks.
The lowest rock layers on the bottom must be rich in organic matter to form fossil fuels.
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In the winter, monarch butterflies travel from the United States to Mexico, where the weather is warmer. They return to the United States in the spring.
-----------------------------------------------------------------------------
Which behavior does this scenario describe?
o Conditioning
o Hibernating
o Imprinting
o Migrating
Answer: "Migrating", You're welcome
What is the length of a pendulum that has a period of 4. 89 seconds?
Hi there!
We can use the following equation for a simple pendulum:
[tex]T = 2\pi \sqrt{\frac{L}{g}}[/tex]
T = Period (4.89 s)
L = length (? m)
g = acceleration due to gravity (9.8 m/s²)
Rearrange the equation to solve for L.
[tex]T^2 = 4\pi ^2 \frac{L}{g}\\\\L = \frac{gT^2}{4\pi ^2}[/tex]
[tex]L = \frac{(9.8)(4.89^2)}{4\pi^2} = \boxed{5.936 \frac{m}{s}}[/tex]
A pendulum is a body hanging from a fixed point that swings back and forth under the effect of gravity. The length of a pendulum that has a period of 4.89 seconds is 5.936 meters.
What is a pendulum?A pendulum is a body hanging from a fixed point that swings back and forth under the effect of gravity. Pendulums are employed to govern the movement of clocks because the time interval for each full oscillation, known as the period, remains constant.
Given that the time period is 4.89 seconds, therefore, the length of the pendulum can be written as,
[tex]\rm T = 2\pi \sqrt{\dfrac{L}{g}}\\\\4.89 = 2\pi \sqrt{\dfrac{L}{9.81}}\\\\L = 5.936\ m[/tex]
Hence, the length of a pendulum that has a period of 4.89 seconds is 5.936 meters.
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Pls help with physics.
Question: How does kicking a soccer ball relate to newton's third law?
Thank you!
Answer:
Explanation: “Every action has an equal opposite reaction” is Newton’s third law. So in this situation, kicking the soccer ball is the action and the reaction is it rolling.
Answer:
you push against the ball and the ball pushes back at you
Your force->|<- ball's force
Explanation:
For every action, there is an equal and opposite reaction
From left, a large candle A, a point C, a small candle B, a double convex lens D. A line passes below the base of the A and B, through C, and through the center of D. An eye looks left and up from below the line to the right of the lens. Dotted lines pass from the top of the large candle to the dotted center of the lens. Solid lines pass from the top of the small candle to the dotted centerline of the lens and then turn and pass down and right to the eye. Refer to the diagram to the left and use the drop-down menus to identify the parts of a magnifying glass. Label A: Label B: Label C:
Answer:
Label A: Virtual Image
Label B: Object
Label C: Focal point
Explanation:
Label A: Virtual Image
Label B: Object
Label C: Focal point
What is an eye ?The visual system's organs include the eyes. They provide living things the ability to see, to take in and interpret visual information, and to perform a number of photoresponse activities that are not dependent on vision. Light is detected by the eyes, which transform it into electro-chemical impulses in neurons. In higher organisms, the eye is a sophisticated optical system that gathers light from the environment, controls its intensity through a diaphragm, focuses it through an adjustable arrangement of lenses to form an image, transforms this image into a series of electrical signals, and sends these signals to the brain via intricate neural pathways that connect the eye via the optic nerve to the visual cortex and other regions of the brain. The ability of resolving eyes has arrived.
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The average speed of a car that travels 100 miles in 4 hours is
if a solution contains 30 g of
potassium chloride (KCI) per 100 mL of water at 60°C, the
solution would be considered saturated.
true
false
Who discovered the basic laws of planetary orbits?.
Answer:
kepler
Explanation:
While Copernicus rightly observed that the planets revolve around the Sun, it was Kepler who correctly defined their orbits. At the age of 27, Kepler became the assistant of a wealthy astronomer, Tycho Brahe, who asked him to define the orbital mars
Infrared light and visible light are both waves on the electromagnetic spectrum. Identify two
other similarities between infrared and visible light.
Answer:
Both travel in straight line
Does a photon emitted by a higher-wattage red light bulb have more energy than a photon emitted by a lower-wattage red bulb
Answer:
The energy of these two photons would be the same as long as their frequencies are the same (same color, assuming that the two bulbs emit at only one wavelength.)
Explanation:
The energy [tex]E[/tex] of a photon is proportional to its frequency [tex]f[/tex]. The constant of proportionality is Planck's Constant, [tex]h[/tex]. This proportionality is known as the Planck-Einstein Relation.
[tex]E = h\, f[/tex].
The color of a beam of visible light depends on the frequency of the light. Assume that the two bulbs in this question each emits light of only one frequency (rather than a mix of light of different frequencies and colors.) Let [tex]f_{1}[/tex] and [tex]f_{2}[/tex] denote the frequency of the light from each bulb.
If the color of the red light from the two bulbs is the same, those two bulbs must emit light at the same frequency: [tex]f_{1} = f_{2}[/tex].
Thus, by the Planck-Einstein Relation, the energy of a photon from each bulb would also be the same:
[tex]h\, f_{1} = h\, f_{2}[/tex].
Note that among these two bulbs, the brighter one appears brighter soley because it emits more photons per unit area in unit time. While the energy of each photon stays the same, the bulb releases more energy by emitting more of these photons.
two cars have the same mass, but one is traveling 3 times as fast as the other. how much more kinetic energy does the faster car have
Answer:
9 times the KE
Explanation:
KE = 1/2 mv^2 now triple 'v'
KE = 1/2 m 9 v^2
The key differences between rotational kinematics and translational kinematics is: A. Rotational kinematics must specify an axis of rotation and objects return to their initial position with successive revolutions. B. Rotational kinematics must specify an axis of rotation and is only applied to rigid objects, not particles. C. Rotational kinematics analyzes both the tangential acceleration as well as the centripetal acceleration and translational kinematics analyzes only the tangential acceleration. D. Rotational kinematics must specify an axis of rotation and uses only dimensionless units
In Translational motion, the body moves in a straight line whereas in Rotational motion, the body moves in a circular path.
Differences between rotational kinematics and translational kinematicsIn Translational motion, the body moves in a straight line and the body same displacement in equal interval of time while on the other hand, in Rotational motion, the body moves in a circular path and the body travels same angular displacement in equal interval of time..
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Question 3
The FRC robot is rushing to pick up a game ball to shoot. The robot
is at rest and then it travels 30m in 1.96s. What is the robot's
acceleration in this time?
Answer:
15.61 m/s^2
Explanation:
From 3 rd equation of motion
s=ut+1/2at^2
given s = 30
u= 0 ( as body was at rest)
t= 1.96s
30=0*1.96+1/2a(1.96)^2
30=0+1/2a(1.96)^2
a=2*30÷(1.96)^2
a= 15.61 m/s^2 (approx)
Your friend left their science project off until the "night before" and now they are frantic to build a home made weather station that can measure relative humidity. They build the standard two – thermometer setup but their water had just been shut off and so they use salad oil on the wet bulb thermometer. Please describe how well their instrument will work and the physics behind your answer.
The usage of the wet bulb thermometer is important to measure the relative humidity or the air.
How to explain the temperature?It should be noted that air can be saturated with different amount of water vapors according to its temperature.
The percentage of water vapor with the amount of water at the temperature is the relative humidity. Based on the question, the salad oil is important rather than using water since oil doesn't evaporate.
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