Answer:
The wavelength of the wave is 2.34 nm.
Explanation:
It is required to find the wavelength of a [tex]1.28\times 10^{17}\ Hz[/tex] wave. A wave moves with a speed of light. Speed of a wave is given in terms of wavelength and frequency. So,
[tex]v=f\lambda[/tex]
[tex]\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{1.28\times 10^{17}}\\\\\lambda=2.34\times 10^{-9}\ m\\\\\text{or}\\\\\lambda=2.34\ nm[/tex]
So, the wavelength of the wave is 2.34 nm.
The wavelength of the wave is 2.34 × 10⁻⁹ meters.
Given the data in the question;
Frequency; [tex]f = 1.28*10^{17}Hz[/tex]Wavelength; [tex]\lambda =\ ?[/tex]
To determine the wavelength of the wave, we use the expression for the relations between wavelength, frequency and speed of light.
[tex]\lambda = \frac{c}{f}[/tex]
Where [tex]\lambda[/tex] is wavelength, f is frequency and c is speed of light ( [tex]3*10^8m/s[/tex] )
We substitute our values into the equation
[tex]\lambda = \frac{3*10^8m/s}{1.28*10^{17}Hz} \\\\\lambda = \frac{3*10^8m/s}{1.28*10^{17}s^{-1}} \\\\\lambda = 2.34 * 10^{-9}m[/tex]
Therefore, the wavelength of the wave is 2.34 × 10⁻⁹ meters.
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Technological design leads to the development and innovation of new technologies.
Which statement represents innovation?
O Solar panels have increased in efficiency over the past 20 years.
O The Sun is the primary source of energy for the solar system
O Previous models of a type of car have fewer engine problems.
O Natural selection ensures that only the fittest survive.
Answer:
Solar panels have increased in efficiency over the past 20 years
Explanation:
Because if efficiency have increased other technologies will be discovered
Answer:
Solar panels have increased in efficiency over the past 20 years
Explanation:
A 1380 kg car starts from rest at the top of a 28.0 m long hill inclined at 11.00 degrees. Ignoring friction, how fast is it going when it reaches the bottom of the hill?
Answer:
10.2 m/s
Explanation:
Using conservation of energy:
PE = KE
mgh = ½ mv²
v = √(2gh)
v = √(2 × 9.8 m/s² × 28.0 m × sin 11.0°)
v = 10.2 m/s
The velocity when car reaches the bottom of the hill is 10.2 m/s.
What is mechanical energy?The mechanical energy is the sum of kinetic energy and the potential energy of an object at any instant of time.
M.E = KE +PE
M.E = ½ mv² + mgh
where g is the acceleration due to gravity, v is the velocity, m is the mass and h is the height of the object.
Given is a 1380 kg car starts from rest at the top of a 28.0 m long hill inclined at 11.00 degrees.
Using conservation of energy principle, we have
PE = KE
mgh = ½ mv²
v = √(2gh)
Substitute the values, we get
v = √(2 × 9.8 m/s² × 28.0 m × sin 11.0°)
v = 10.2 m/s
Thus, the velocity when car reaches the bottom of the hill is 10.2 m/s.
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A force of 12N acts to the left on a body and a force of 16 N acts to the right . The size and direction of resultant force is
1)4N
2)28N to the right
3) 4 N to the right
Answer:
4 N to the rightExplanation:
The force acting to the right of the body is acting in the positive x direction while the force acting to the left of the body is acting in the negative x direction.
If a force of 12N acts to the left on a body and a force of 16 N acts to the right, force acting to the left will be -12N while that acting to the right will be +16N.
The resultant force acting on the bod will be the sum of the two forces.
Resultant = -12N+16N
Resultant = 4N
The direction of the resultant force will be towards the right since the resultant is a positive value.
A sound wave in air has a frequency of 354 Hz and travels with a speed of 343 m/s. How far apart are the wave crests in meters.
Given :
The frequency of travelling sound = f = 282 Hz
The speed of travelling sound = c = 343 m/s
To Find :
The distance of waves crests
Solution :
∵ wavelength of sound wave =
i.e =
Or, =
∴ = 1.12 m
So, The wavelength of sound wave = = 1.21 m
Thus , The distance of waves crests =wavelength of sound wave = 1.21 m
Hence, The distance of waves crests is 1.21 meters Answer
Identical point charges (+50 x 10 power -6C) are placed at the corners of a square with sides of 2.0-m length. How much external energy is required to bring a fifth identical charge from infinity to the geometric center of the square?
Answer:
636.4 J
Explanation:
The potential energy between one of the charges at the corner of the square and the fifth identical charge is U = kq²/r where q = charge = +50 × 10⁻⁶ C and r = distance from center of square. = √2 m (since the midpoint of the sides = 1 m, so the distance from the charge at the corner to the center is thus √(1² + 1²) = √2)
Since we have four charges, the additional potential energy to move the charge to the centre of the square is U' = 4U = 4kq²/r
U' = 4kq²/r
= 4 × 9 × 10⁹ Nm²/C² (+50 × 10⁻⁶ C)²/√2 m
= 900 Nm²/√2 m
= 636.4 J
The total external energy required is 636.4 J.
Electric potential energy:
According to the question, a square of side a = 2m has 4 identical charges on the corners with charge Q = 50×10⁻⁶C.
A fifth identical charge is brought at the geometric center of the square. The geometric center is at the center of the diagonal:
[tex]r=\frac{a}{\sqrt{2} }=\sqrt{2}\;m[/tex]
The potential energy is a state function which means that it depends on the initial and final position.
Now the energy required is equal to the change in potential energy
[tex]\Delta U=\frac{1}{4\pi\epsilon_o}\frac{4Q^2}{r}\\\\\Delta U=\frac{4\times9\times10^9\times(50\times10^{-6})^2}{\sqrt{2} } \\\\\Delta U=636.4\;J[/tex]
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what is gyration length
Answer:
The gyration length or radius of gyration about an axis is the radial distance from a point which would have the same moment of inertia as the body's actual distribution of mass if the body's total mass were concentrated at a point.
Explanation:
The gyration length appears to be the distance from a point where the whole body appears to be concentrated when it rotates about the point.
The gyration length can be illustrated this way.
Suppose we have a distribution of masses m₁, m₂, m₃,..., mₙ located at points r₁, r₂, r₃,..., rₙ respectively from a point O. Their moment of inertia I about point O is
I = m₁r₁² + m₂r₂² + m₃r₃² + ... + mₙrₙ²
If M = total mass = m₁ + m₂ + m₃ + ... + mₙ
Now I = MR² where R = gyration length
MR² = m₁r₁² + m₂r₂² + m₃r₃² + ... + mₙrₙ²
R² = m₁r₁² + m₂r₂² + m₃r₃² + ... + mₙrₙ²/M
R = √[(m₁r₁² + m₂r₂² + m₃r₃² + ... + mₙrₙ²)/(m₁ + m₂ + m₃ + ... + mₙ)]
R = √(∑mr²/∑m)
If the particles have the same mass, m₁ = m₂ = m₃ = ... = mₙ and M = nm. Since m = M/n
R = √[(mr₁² + mr₂² + mr₃² + ... + mrₙ²)/(m + m + m + ... + m)]
R = √[m(r₁² + r₂² + r₃² + ... + rₙ²)/nm]
R = √[(r₁² + r₂² + r₃² + ... + rₙ²)/n]
R = √(∑r²/n)
So the gyration length is the square-root of the sum of individual moment of inertias of the constituent masses divided by the sum of masses or the root mean square of the distances of the particles.
Explain the following behaviour of molecules water rises up in a harrow tubes but mercury which is also a liquid falls in a narrow tubes to level below the outside surface
Answer: find the answer in the explanation
Explanation:
The capillarity of water molecules is different from the mercury molecules.
What is capillarity ?
This is the tendency of a liquid substance to rise in a capillary tube.
Molecules water rises up in a harrow tubes because of the force of adhesion between the water molecules and the tube molecules is greater than the force of cohesion between the water molecules. This helps water to wet the tube and rise. While mercury which is also a liquid falls in a narrow tubes to level below the outside surface because the force of cohesion between the mercury molecules is greater than the force of adhesion between the mercury molecules and the tube molecules. Mercury does not wet.
What two variables is acceleration dependent on? What is the relationship between these variables and acceleration? (i.E. If you increase one variable what happens to the acceleration?)
Answer:
1. Unbalanced Force (If you increase force, the acceleration will increase)
2. Mass of Body (If you increase mass, the acceleration will decrease)
Explanation:
According to Newton's Second Law the acceleration produced in a body depends upon two variables. The law states that:
“When an unbalanced force is applied on a body then an acceleration is produced in it, in its own direction”
The magnitude of produced acceleration is directly proportional to the applied force and inversely proportional to the mass of body. Mathematically,
a α F
and, a α 1/m
where,
a = acceleration
F = Unbalanced Force
m = Mass of Body
So, the acceleration increases when the unbalanced force increase and vice versa.
And the acceleration decreases when the mass of body increase and vice versa.
combining above equations:
a α F/m
a = (Constant)F/m
here,
Constant = 1
therefore,
F = ma
A piano with a mass of 130 kg is lifted 10m above the ground in 5 s by a crane.
What is the power used by the crane
[tex]power = 2548 \: watt \\ solution \\ mass = 130 \: kg \\ distance = 10m \\ time = 5 \: sec \\ power = \frac{w}{t} \\ \: \: \: \: \: \: \: \: \: \: = \frac{f \times d}{t} \\ \: \: \: \: \: \: \: \: = \: \frac{m \times g \times d}{t} \\ \: \: \: \: \: \: \: \: \: = \frac{130 \times 9.8 \times 10}{5} \\ \: \: \: \: \: \: \: \: = \frac{12740}{5} \\ \: \: \: \: \: = 2548 \: watt \\ hope \: it \: helps[/tex]
A helium ion of mass 4m and charge 2e is accelerated from rest through a potential difference V in vacuum. Its final speed will be
Answer:
[tex]v=\sqrt{\frac{ev}{m} }[/tex]
Explanation:
The helium ion has:
a potential difference in vacuum = V,
Charge = 2e
and mass = 4m,
speed = v,
mass = 4m
From electrostatics, the work done is the product of charge and its potential difference.
Therefore, Work done = charge × potential difference = 2e × V = 2eV
This work done is in form of kinetic energy, therefore:
Kinetic energy = 1/2 × mass × speed²
⇒ Work done = Kinetic energy
[tex]2eV=\frac{1}{2} *4m*v^2=2m*v^2\\v^2=\frac{2eV}{2m}\\ v^2=\frac{eV}{m}\\ v=\sqrt{\frac{ev}{m} }[/tex]
An escalator is used to move 25 passengers every minute from the first floor of a department store to the second. The second floor is located 5.30 meters above the first floor. The average passenger's mass is 60 kg. Determine the power requirement of the escalator in order to move this number of passengers in this amount of time.
Please help me quickly!
Answer:
1298.5watt
Explanation:
Power is defined as the rate at which work is done
Expressed mathematically as;
P = F × d/ t; F = force or weight of object ;d is height or distance sustain and t is time covered
Hence for 1 person the power consumption is ;
Note weight =mass× acceleration of free fall due to gravity,g
g is known as 9.8m/S2
Time taken is 1min which is 60 sec
60 ×9.8 × 5.3/60 = 51.94 watt
Hence for 25 persons we have
25 × 51.94 =1298.5watt
1.3kilo watt( kilo is 1000)
The work done by the escalator is 3,080.4 joules and the power requirement of the escalator to move 25 passengers every minute is approximately 51.34 watts.
The Work Done is calculated as:
Force (F) = 60 × 9.8
Distance (d) = 5.30 meters
Work (W) = F × d
Work (W) = (60 × 9.8) × 5.30
Work (W) = 3,080.4 joules
The Power is calculated as:
Time (t) = 1 minute
Power (P) = Work / Tim (t)
Power (P) = 3,080.4 / 60
Power (P) = 51.34 watts
Therefore, the power requirement of the escalator to move 25 passengers every minute is approximately 51.34 watts.
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Two people try to lift a heavy box. Jack pulls upward with a 100-newton
force. Jill pulls upward with a 50-newton force, but neither person moves the
box.
Compare the amount of work done on the box by Jack and Jill.
OA) Jack did twice as much work as Jill.
OB) Jack did fifty times more work than Jill.
OC) Jack and Jill did the same amount of work.
Answer:
A ( Jack did twice as much work as Jill
Explanation:
how many chromosomes will an elephant's sperm have ?
Drag each tile to the correct box. Arrange the steps in order to describe what happens to a gas when it cools. The particles of gas move slower. The gas changes to a liquid. The gas loses thermal energy. The space between the gas particles decreases. ↓ ↓ ↓
Answer:
Ok, as the gas starts to cool down, the kinetic energy of the particles starts to decrease, so the first thing that happens is:
"the gas loses thermal energy" (as the gas cools down, the temperature decreases, so it loses thermal energy)
Now, the kinetic energy must decrease, so now:
"the particles of gas move slower".
Then, as the particles start to move slower, they start to get closer to eachother, then we have:
"The space between the gas particles decreases."
As the particles start to get close to eachother, the density of the gas starts to increase, until a point where we get to the condensation point, here we have a change of phase and the gas changes to a liquid, so here we have:
"The gas changes to a liquid."
Answer:
a
Explanation:
Why did the Founding Fathers want to include a bill of rights in the U.S.
Constitution?
A. To ensure that the government couldn't take away the individual
rights of citizens
B. To provide future generations a way to amend, or change, the
Constitution
C. To allow states to write and approve their own state constitutions
D. To give state governments more power than the federal
government
Answer:
Its A
Explanation:
Thats because federalists wanted to take away rights. But the fathers wanted to definitely ensure that each person had equal rights and liberty.
Which of the following technologies is based on the work of Subrahmanyan Chandrasekhar? A. Undersea fiber optic communications cables B. An orbiting observatory to detect X-rays from space objects C.Computer models to predict the effects of climate change D. Radar to detect the movement of storms
Answer:the answer is B
Explanation:
APE X
The technology that is based on the work of Subrahmanyan Chandrasekhar is an orbiting observatory to detect X-rays from space objects, therefore the correct option is B.
What is Chandrasekhar's limit?Chandrasekhar's limit is a type of maximum limited value that is used to define the maximum mass of a white dwarf star. The generally internationally considered value of the Chandrasekhar limit is about 1.44 times the mass of the sun which is approximately 2.765×10³⁰ kg.
In other words, one can say that Chandrasekhar limit is the maximum value that can attain 1.44 times the solar mass.
In other words, one can say that star with a mass more than 1.44 times that of the Sun does not form a white dwarf but continues to collapse, finally forming a neutron star
An orbiting observatory to detect X-rays from space objects is based on the principle of Chandrasekhar's limit. The correct option is B.
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A train starts from its station and it
velocity reaches 200m/s in 5
seconds. What is its acceleration?
a. 400m/s
b. 40m/s2
c. 4.5m/s2
d. Initial velocity is missing
Answer:
b. 40m/s2
Explanation:
Acceleration is calculated by dividing velocity over time. Therefore 200m/s by 5s equals 40m/s2
Answer:
B
Explanation:
v = vo + at
200 = 0 + a*5
200 = 5a
a = 200/5 = 40 m/s²
initial velocity (vo) is 0 because it says it start from station
How many meters is in 32 km
Answer:
32000 m
Explanation:
1000m in 1 km, so 32000m in 32 km.
Answer:
32000m
Explanation:
1km=1000m
so 32 kn is equals to 32000m
What does the phrase "1 meter per second per second" means? A. The velocity of an object can increase by 1 meter per second, for every minute of time measured. B. The velocity of an object can increase by 1 meter per second, for every second of time measured. C. The velocity of an object can increase by 1 meter per second.
Explanation:
"1 meter per second per second" means acceleration of an object. It is equal to the rate of change of velocity. Its SI unit is [tex]m/s^2[/tex].
It is simply given by :
[tex]a=\dfrac{dv}{dt}[/tex]
dv is change in velocity
dt is small interval of time
"1 meter per second per second" means that the velocity of an object can increase by 1 meter per second.
Please give me concept to solve this.
Answer:
The difference in tension, between adjacent sections of the pull cable at the given conditions is 17.701 kN
Explanation:
We take the cars as moving upwards such that the resultant pulling force on the car, F, along the cable is given by the relation
[tex]F_{car}[/tex] = Upward tension force, [tex]Tension_{(upwards)}[/tex] - Downward tension force, [tex]Tension_{(downwards)}[/tex] - Component of the weight of the car along the taut cable
The parameters given are;
Mass of car, m = 2750 kg
Angle of inclination of taut cables, θ = 35°
The upward acceleration of the car, a = 0.81 m/s²
Given that the weight is acting vertically downwards, we have;
Component of the weight of the car along the taut cable = m × g × sin(θ)
∴ Component of the weight of the car along the taut cable = 2750 × 9.81 × sin (35°) = 15473.66 N
We therefore have;
[tex]F_{car}[/tex] = [tex]Tension_{(upwards)}[/tex] - [tex]Tension_{(downwards)}[/tex] - 15473.66 N
[tex]F_{car}[/tex] = m × a = 2750 × 0.81 = [tex]T_{upwards}[/tex] - [tex]T_{downwards}[/tex] - 15473.66
∴ [tex]Tension_{(upwards)}[/tex] - [tex]Tension_{(downwards)}[/tex] = 2750 × 0.81 + 15473.66 = 17701.16 N
Hence the difference in tension, [tex]Tension_{(upwards)}[/tex] - [tex]Tension_{(downwards)}[/tex] between adjacent sections of the pull cable if the cars are at the maximum permissible mass and are being accelerated up the incline = 17701.16 N or 17.701 kN.
A car starts from rest and develops an acceleration of 2 m/s2. If the distance covered by the car during its motion is 100m, what is the final velocity attained by the car?
Answer:
20
Explanation:
because I am always right yo bro be like me
HELLO.
Hope you are having a nice morning/day/night. PLEASE HELP.
Explain why water storage tanks in houses are erected as high as possible
Answer:
Hello! Thanks! I hope you are too! hope this helps!
Explanation:
The primary reason is to create more water pressure. ... If a municipal water tank is elevated to more than a hundred feet above the ground, there is an increase of . 43 psi per foot. A tank that has been elevated to an appropriate height can create water pressure similar to that created by a large pump
Answer:
✌✌✌✌✌✌✌✌✌✌✌
Explanation:
The primary reason is to create more water pressure. ... If a municipal water tank is elevated to more than a hundred feet above the ground, there is an increase of . 43 psi per foot. A tank that has been elevated to an appropriate height can create water pressure similar to that created by a large pump.
Earth receives some of the Sun's energy in the form of heat and light.
What type of energy does heat and light from the Sun begin as?
O A) nuclear
OB) chemical
OC) electrical
OD) mechanical
Answer:
a) nuclear
Explanation:
A train takes 6 hours to reach Indore from Delhi. If it moves with the speed of 70 km/h, find the distance between Indore and Delhi.
Answer:
Distance = 420 km
Explanation:
Speed = Distance/ Time
Where speed = 70 km/hr and time = 6 hours
Distance = Speed × Time
D = 70 km/hr × 6 hrs
D = 420 km
Answer:
GIVEN DATA :
TIME TAKEN=t=6h
SPEED OF THE TRAIN=v=70km/h
TO FIND:
DISTANCE COVERED=d=?
SOLUTION:
AS WE KNOW THAT
SPEED=DISTANCE COVERED / TIME TAKEN
SPEED × TIME TAKEN = DISTANCE COVERED
70km/h×6h=distance covered
distance covered=420km
A car is traveling in a race. The car went from the initial velocity of 35 m/s to the final velocity of 65 m/s in 5 seconds. What
is the acceleration?
-13 m/s
-6 m/s²
6mis?
13 m/s2
Acceleration = (change in speed) / (time for the change)
Change in speed = (speed after the change) - (speed before the change)
Change in speed = (65 m/s) - (35 m/s) = 30 m/s
Acceleration = (30 m/s) / (5 s)
Acceleration = 6 m/s²
Isaac throws an apple straight down from a tree with an initial speed of 5.0 \dfrac{\text m}{\text s}5.0 s m 5, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. It hits the ground with a final speed of 12 \dfrac{\text m}{\text s}12 s m 12, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. How many seconds did the apple fall?
Answer:
0.71s
Explanation:
From Newton's law of motion ;
V =U +gt
V is the final velocity or speed
U is the initial velocity or speed
g is acceleration of free fall due to gravity given as 9.8m/S2
Note when a body moves horizontally down its said to do so with the aid of the force of gravity
Hence the final velocity is aided by gravity.
From the above formula;
t =V-U/ g
t= 12-5/ 9.8 = 0.71s
Answer: .71
Explanation:
Khan academy
PLEASE HELP. Really important
Explanation:
2) C would need the least effort, because the longer the effort distance, the least the effort applied.
Question 1 of 25
2 Points
What is the kinetic energy of a 5-kg cat chasing a mouse across the yard at 2
m/s?
A. 98 J
B. 10 J
C. 2J
D. 20 J
SUBMIT
Explanation:
K = 5kg[tex](2 m/s)^{2}[/tex]/2 = 10 J
Earth is a dynamic system what exactly does this mean
Answer:
The answer to the following question is given below.
Explanation:
This means a mixture of interconnected, interlinked, or interactive elements that establish the collaborative entity or entities.
The Earth system manages to maintain its very presence on even a macro level as well as processes in general thru the engagement of all its elements. This affects such as erosion, whereas others happen unexpectedly, such as an earthquake. It is crucial to keep our lifestyle in mind that we can recognize all such adjustments as well as their implications.find the period of a simple pendulum of 1m length placed on earth and on moon g on moon =1.67m/s² g on earth=10m/s²
Answer:
[tex]T_{m }[/tex] = 4.86 s
[tex]T_{e}[/tex] = 1.98 s
Explanation:
Given:
Length = l = 1 m
Acceleration due to gravity of moon = [tex]g_{m}[/tex] = 1.67 m/s²
Acceleration due to gravity of Earth = [tex]g_{e}[/tex] = 10 m/s²
Required:
Time period = T = ?
Formula:
T = 2π [tex]\sqrt{\frac{l}{g} }[/tex]
Solution:
For moon
Putting the givens,
T = 2(3.14) [tex]\sqrt{\frac{1}{1.67} }[/tex]
T = 6.3 [tex]\sqrt{0.6}[/tex]
T = 6.3 × 0.77
T = 4.86 sec
For Earth,
Putting the givens
T = 2π [tex]\sqrt{\frac{1}{10} }[/tex]
T = 2(3.14) [tex]\sqrt{0.1}[/tex]
T = 6.3 × 0.32
T = 1.98 sec
