Answer:
the scattering of short wavelengths as light
passes through the atmosphere
Invasive species often display a wave of advance as they colonize new areas. Mathematical models based on random dispersal and reproduction have demonstrated that the speed with which such waves move is given by the expression 2 Dr , where r is the reproductive rate of individuals and D is a parameter quantifying dispersal. Calculate v'(r), the derivative of the wave speed with respect to the reproductive rate r.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The derivative is [tex]v(r)' = \sqrt{\frac{D}{r} }[/tex]
The correct option is option 1
Explanation:
From the question we are told that
The equation of the speed of the wave of invasion is [tex]v(r) = 2 \sqrt{Dr}[/tex]
=> [tex]v(r) = 2 (Dr)^{\frac{1}{2} }[/tex]
=> [tex]v(r) = 2 * D^{\frac{1}{2} } r^{\frac{1}{2} }[/tex]
Here r is the reproductive rate and the D is the parameter qualifying dispersal
Generally the derivative of this speed is mathematically represented as
[tex]v(r)' = \frac{2}{2} * D^{\frac{1}{2} } * r^{-\frac{1}{2} }[/tex]
=> [tex]v(r)' = \sqrt{\frac{D}{r} }[/tex]
This derivative of the speed represents the rate of change of the invasive speed with respect to the the reproductive rate of an individual
Can someone please help me on this?
Answer:
80
Explanation:
How many significant figures? 53,598 m/sec
Answer:
This has 5 significant figures.
a train starting from a distance of velocity of 90 km.h
-1 in 10 minutes assuming that the acceleration is uniform find the acceleration and the distance travelled by the train for attending the velocity
To make this problem solvable and you can get the help you need, I'll complete and arrange some data.
Answer:
Acceleration: [tex]0.0417\ m/s^2[/tex], Distance=7,500 m
Explanation:
Uniform Acceleration Motion
It's a type of motion in which the velocity of an object changes uniformly over time.
Being a the constant acceleration, vo the initial speed, vf the final speed, and t the time, the following relation applies:
[tex]v_f=v_o+at\qquad\qquad [1][/tex]
The distance traveled by the object is given by:
[tex]\displaystyle x=v_o.t+\frac{a.t^2}{2}\qquad\qquad [2][/tex]
Using the equation [1] we can solve for a:
[tex]\displaystyle a=\frac{v_f-v_o}{t}\qquad\qquad [3][/tex]
The problem will be rewritten as follows:
A train starting from rest reaches a velocity of 90 km/h in 10 minutes. Assuming that the acceleration is uniform, find the acceleration and the distance traveled by the train for attending the velocity.
Let's take the relevant data:
vo=0
vf=90 Km/h*1000/3600 = 25 m/s
t = 10 minutes = 10*60 = 600 seconds
Now compute the acceleration by using [3]:
[tex]\displaystyle a=\frac{25-0}{600}=0.0417[/tex]
[tex]a=0.0417\ m/s^2[/tex]
Finally, compute the distance:
[tex]\displaystyle x=0*600+\frac{0.0417\cdot 600^2}{2}[/tex]
[tex]x=7,500\ m[/tex]
Note: We used the value of the acceleration with more precision than shown.
Acceleration: [tex]\mathbf{0.0417\ m/s^2}[/tex], Distance=7,500 m
PLEASE HELP
Which object has the least average speed?
A. object A
B. object B
C. object C
D. object D
Answer:
D
Explanation:
I could be wrong, But I'm pretty sure it's D
If you apply a net force of 3 N on 100g -box, what is the acceleration of
the box? *
30 m/s/s
20 m/s/s
10 m/s/s
5 m/s/s
Answer:
I believe the correct answer is 30m/s/s
The average speed of a runner in an 800 meter race was 7.0 meters per second. How
long did it take the runner to complete the race?
Answer:
114.29sExplanation:
average speed = distance/Time
Given
speed = 7m/s
distance = 800m
Required
Time taken by the runner to complete the race
From the formula:
Time = Distance/speed
Time = 800/7
Time = 114.29seconds
Hence it took the runner 114.29s to complete the race
To decorate for a party, Simon needs 1,850 centimeters of colorful streamers. If the ratio of meters to centimeters is 1 : 100, how many meters of streamers does he require?
A.
18,500 meters
B.
185 meters
C.
18.5 meters
D.
1.85 meters
what is mechanical energy
Explanation:
In physical sciences, mechanical energy is the sum of potential energy and kinetic energy. It is the macroscopic energy associated with a system. The principle of conservation of mechanical energy states that if an isolated system is subject only to conservative forces, then the mechanical energy is constant. If an object moves in the opposite direction of a conservative net force, the potential energy will increase; and if the speed (not the velocity) of the object changes, the kinetic energy of the object also changes. In all real systems, however, nonconservative forces, such as frictional forces, will be present, but if they are of negligible magnitude, the mechanical energy changes little and its conservation is a useful approximation. In elastic collisions, the kinetic energy is conserved, but in inelastic collisions some mechanical energy may be converted into thermal energy. The equivalence between lost mechanical energy (dissipation) and an increase in temperature was discovered by James Prescott Joule.
Your mother has called you on your cell phone and asked you to pick up a few items at the grocery store on your way home. As you heard your mother state each item, which process transferred this information from your sensory memory to your short-term memory so you could jot each grocery item down?
Answer:
Encoding
Explanation:
Encoding is the initial learning of information. Encoding is the process of passing new information coming from sensory input into our brain so that it can be easily retrievable. In a nutshell, it is the sum total of the processes by which external information such as the list of items your mother asked you to pick up at the grocery store to be converted into a manner that can be stored within the brain and recalled later from long-term memory.
Encoding has to do with transferring external stimuli into short term and subsequently long-term memory.
The two objects have different masses, the more massive object pulls with a greater force. TRUE OR FALSE?
Answer:
on earth yes, but in space no because there is no gravity
Explanation:
plz can i have some points
The force exerted by an object depends on the mass of the object. Greater mass results in greater force. Hence, the statement is true.
What is force?Force is an external agent acts on a body to change the substance from the state of rest or motion. There are various kinds of force such as nuclear force, magnetic force, frictional force etc.
According to Newton's law of motion force in a moving body is the product of its mass and acceleration. Hence, force is directly proportional to mass and acceleration and an increase in these quantities will increase the force exerted by the body.
Thus, greater force is needed to a move a body with greater mass. If two objects of different masses exerts force each other, the greater force will be exerted by the massive body.
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An object is moving back and forth on the x-axis according to the equation x(t) = 3sin(20πt), t> 0, where x(t) is measured in cm and t in seconds. Give decimal answers below. (a) How many complete back-and-forth motions (from the origin to the right, back to the origin, to the left and finally back to the origin) does the object make in one second? (b) What is t the first time that the object is at its farthest right? (c) At the time found in part (b), what is the object's velocity? (d) At the time found in part (b), what is the object's acceleration?
Answer:
a.) 10Hz
b.) 0.1 s
c.) 187.4 m/s
d.) -412.6 m/s^2
Explanation:
Given that an object is moving back and forth on the x-axis according to the equation x(t) = 3sin(20πt), t> 0, where x(t) is measured in cm and t in seconds. Give decimal answers below.
(a) How many complete back-and-forth motions (from the origin to the right, back to the origin, to the left and finally back to the origin) does the object make in one second?
from the equation given, the angular speed w = 20π
but w = 2πf
where f = frequency.
substitute w for 20π
20π = 2πf
f = 20π/2π
f = 10 Hz
(b) What is t the first time that the object is at its farthest right?
since F = 1/T
T = 1 / f
T = 1/10
T = 0.1 s
Therefore, the t of first time that the object is at its farthest right is 0.1 s
(c) At the time found in part (b), what is the object's velocity?
The velocity can be found by differentiating the equation;
x(t) = 3sin(20πt)
dx/dt = 60πcos(20πt)
where dx/dt = velocity V
V = 60πcos(20π * 0.1)
V = 187.4 m/s
(d) At the time found in part (b), what is the object's acceleration?
to get the acceleration, differentiate equation V = 60πcos(20πt)
dv/dt = -1200πSin(20πt)
dv/dt = acceleration a
a = -1200πSin(20πt)
substitute t into the equation
a = -1200πSin(20π * 0.1)
a = - 412.6 m/s^2
The type of motion the object undergoes that consist of a back-and-forth
movement that is repetitive is a simple harmonic motion.
The correct responses are;
(a) Number of complete back-and-forth motions per second is 10(b) The first time is after 0.025 seconds(c) Velocity is 0(d) Acceleration is approximately -11843.53 m/s²Reasons:
The equation that represents the motion of the object is x(t) = 3·sin(20·π·t)
Where;
t ≥ 0
x(t) is in cm, and t is in seconds.
(a) The general sine function is y = A·sin(B·(t - C) + D
[tex]\mathrm{The \ period \ P} = \dfrac{2 \cdot \pi}{B}[/tex]
By comparison, we have;
B = 20·π
Therefore;
[tex]P = \dfrac{2 \cdot \pi}{20 \cdot \pi} = \dfrac{1}{10} = 0.1[/tex]
The period, which is the time to complete one cycle = 0.1 seconds
The number of cycle completed per second, is the frequency, f
[tex]f = \dfrac{1}{P} = \dfrac{1}{0.1} = 10[/tex]
f = 10 Hz = 10 cycles
The number of cycle completed per second is f = 10 cycles
(b) When the object is at the farthest right, we have;
sin(20·π·t) = Maximum = 1
[tex]\mathbf{sin\left(\dfrac{\pi}{2}\right)} = 1[/tex]
Therefore,
[tex]20 \cdot \pi \cdot t = \dfrac{\pi}{2}[/tex]
[tex]t = \dfrac{\pi}{20 \cdot \pi \cdot 2} = \dfrac{1}{40} = 0.025[/tex]
The first time it is at the farthest right is t = 0.025 seconds after start
(c) [tex]\mathrm{Velocity, \ v, \ is \ given \ by \ v = \dfrac{dx(t)}{dt}}[/tex]
Therefore;
[tex]v = \dfrac{dx(t)}{dt} = \dfrac{dx(t)}{dt} \left(3 \cdot sin \left(20 \cdot \pi \cdot t \right) = 60\cdot \pi \cdot cos \left(20 \cdot \pi \cdot t \right)[/tex]
At t = 0.25 seconds, we have;
[tex]v = \dfrac{dx(t)}{dt} = 60\cdot \pi \cdot cos \left(20 \times \pi \times 0.025 \right) = 0[/tex]
The velocity of the object at the t = 0.025 seconds is v(t) = 0
(d) Acceleration, a, is given by [tex]a = \dfrac{dv(t)}{dt}[/tex]
Therefore;
[tex]a = \dfrac{dv(t)}{dt} = \dfrac{d}{dt} \left( 60\cdot \pi \cdot cos \left(20 \times \pi \times t\right) \right) =-1200 \cdot \pi ^2 \cdot sin(20 \cdot t \cdot \pi)[/tex]
a = -1200·π²·sin(20·t·π)
∴ a = -1200×π²×sin(20×0.025×π)
sin(20×0.025×π) = 1
∴ a = -1200×π²×1 ≈ -11843.53
At the time found in part b the acceleration of the object, a ≈ -11843.53 m/s²
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A car moved 40 km north and 90 km south. What is the displacement of the car?
A. 50 km south
B. 50 km north
C. 10 km east
Answer:
A. 50 km south
Explanation:
hope this helps!
A ball initially at rest is dropped from a window 24.3 m off the ground. How long does it take for the ball to reach the ground?
Answer:
The ball takes 2.23 seconds to reach the ground
Explanation:
Free Fall Motion
A free-falling object falls under the influence of gravity only. An object being acted upon only by the force of gravity is said to be in a state of free fall. Free-falling objects do not have air resistance.
If an object is dropped from rest in a free-falling motion, it falls with a constant acceleration called the acceleration of gravity, which value is [tex]g = 9.8 m/s^2[/tex].
The distance traveled by a dropped object is:
[tex]\displaystyle y=\frac{gt^2}{2}[/tex]
Knowing the height h from which the object was dropped, we can find the time it takes fo hit the ground:
[tex]\displaystyle t=\sqrt{\frac{2h}{g}}[/tex]
Since y=24.3 m:
[tex]\displaystyle t=\sqrt{\frac{2\cdot 24.3}{9.8}}[/tex]
t=2.23 seconds
The ball takes 2.23 seconds to reach the ground
what does a worm and wheel mechanism do to torque and speed
Answer:Explanation:
Image result for what does a worm and wheel mechanism do to torque and speed
Like other gear arrangements, a worm drive can reduce rotational speed or transmit higher torque. ... Each full 360 degree turn of a single start worm advances the gear by one tooth. For a multi start worm the gear reduction equals the number of teeth on the gear divided by the number of starts on the worm.
If Thor throws his axe horizontally at a velocity of 50 m/s at and a height of 20 m, how long does it take before it hits the ground? (gravity is 9.8 m/s^2)
Answer:
The time taken before the axe hits the ground is 0.385 s.
Explanation:
Given;
initial velocity, u = 50 m/s
height above ground, h = 20 m
To determine the time taken before the axe hits the ground, apply the following kinematic equation;
h = ut + ¹/₂gt²
20 = 50t + ¹/₂(9.8)t²
20 = 50t + 4.9t²
4.9t² + 50t - 20 = 0
Solve this quadratic equation;
a = 4.9, b = 50, c = -20
t = 0.385 s
Therefore, the time taken before the axe hits the ground is 0.385 s.
How many joules of kinetic energy does the pendulum have when it has 50 J of potential energy?
Answer:
We do not have the information of the pendulum, so i will answer in a general way.
First, as you know, the total energy can be written as:
E = U + K
Where:
U = potential energy
K = kinetic energy.
Now, by the conservation of energy, we know that E does not change.
This means that if U increases an amount x, then K must decrease by the same amount.
Now, at the maximum height of the pendulum, the velocity is zero, this means that in this point the kinetic energy is 0j.
E = 0 + U
E = U.
Another thing that you may know about pendulums is that, if the initial displacement is by an angle θ, then the angle between the string and the vertical can never be more than θ.
And we know that:
U = m*g*h
in this case, we can write h, the maximum height, as:
h = L*(1 - cos(θ))
Where:
L is the length of the string, g is the gravitational acceleration and m is the mass of the pendulum.
Then the total energy of the pendulum is:
E = m*g*L*(1 - cos(θ))
And we had that:
E = K + U = m*g*L*(1 - cos(θ))
Then, if in a given point we have U = 50j, the kinetic energy must be:
K + 50j = m*g*L*(1 - cos(θ))
K = m*g*L*(1 - cos(θ)) - 50j
How many layers of data can a DVD store?
3
2
4
1
1
Answer:
Capacidad de almacenamiento ofrecida por los DVD
Hay que mencionar que es posible conseguir DVD de una o dos capas. Los DVD que cuentan con una capa son capaces de almacenar aproximadamente 4.7GB de datos, mientras que los de doble capa ofrecen la posibilidad de almacenar alrededor de 8.5GB
Explanation:
Answer:
4 layers
Explanation:
i took the quiz
Please help A.S.A.P
If the bands in an igneous rock are dark. What kind of magma was present when it was formed?
Answer:
The magma, molten rock under the surface, and lava (molten rock on the surface) harden into igneous rock. The igneous rock then breaks apart over time through the process of weathering.
Explanation:
a 32kg object has a momentum of 480kg m/s northward. what is the objects velocity ?
Answer:
velocity = 15m/s
Explanation:
momentum of the object = 480kg/ms
nass of object = 32 kg
velocity of object = ?
momentum = velocity × mass
velocity = momentum / velocity
= 480kg/ms/32kg
= 15m/s
If the Mass Number is the sum of the protons and neutrons in an atom, what is
the mass number of
Answer:
It's 31
Explanation:
add 15 and 16
In the desert air, sound travels at 358 meters per second (m/s). In the polar air, sound travels at 330 meters per
second (m/s). What can you conclude from this information?
A - The speed of sound is constant.
B - Sound waves travel fastest in a vacuum.
C-The temperature of the air affects the speed of sound.
D-Sound waves travel at the same speed everywhere on Earth.
Please provide your answer below using CER
1. Claim: What is your choice for the correct answer?
2. Evidence: What evidence did you observe from the test-like question that made you decide on your answer?
3. Reasoning: Provide an elaboration on your evidence, possible prior knowledge about your claim.
Answer:
The correct option is;
C. The temperature of the air affects the speed of sound
Explanation:
The information given are;
The speed with which sound travels in the desert air = 358 m/s
The speed with which sound travels in the polar air = 330 m/s
The major difference between the desert air and the polar air is that the temperature of the desert air is hotter than the temperature of the air in the polar region. Therefore the speed of sound is affected by the air temperature.
The equation that gives the relationship of the speed of sound in air, [tex]v_{air}[/tex], to temperature is presented as follows;
[tex]v_{air} = 331\frac{m}{s} \times \sqrt{\dfrac{T_K}{273 K} } = 331\frac{m}{s} \times \sqrt{1 + \dfrac{T_{^{\circ}C}}{273 ^{\circ} C} }[/tex]
Which shows that the speed of sound in air, [tex]v_{air}[/tex], rises as the temperature of the air rises.
Where;
[tex]T_{^{\circ}C}[/tex] = The temperature of the air in degrees Celsius
[tex]T_K[/tex] = The temperature of the air in degrees Kelvin.
dimensional formula of energy
Answer:
[M L2 T-2]
Explanation:
hope this is what you're looking for.
which refers to the distance between two crests or two troughs on a transverse wave?
wavelength
amplitude
frequency
hertz
Answer:
wavelength
Explanation:
the definition of wavelength is the distance from one Crest to the next crest,or one trough to the next trough
The phenomenon that refers to the distance between two crests or two troughs on a transverse wave is wavelength.
What is wavelength?Wavelength is simply defined as the distance between successive crests of a wave, particularly in a sound.
In conclusion, wavelength refers to a traveling particle.
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Zach listed the process of how laser beams are produced with crystals.
A flashlamp pumps energy through the crystal.
Atoms in the crystal absorb and then release some of the energy as light.
Light bounces off mirrors and occasionally bounces off crystal atoms, increasing in energy.
Some light escapes the tube through the highly reflective mirror, forming a concentrated beam.
Which best describes Zach’s error?
The crystal pumps energy through the flashlamp; the flashlamp does not pump energy through the crystal.
The atoms in the crystal do not release energy; they only absorb energy.
Light does not bounce off mirrors; it focuses through glass lenses.
Light escapes through the partially reflective mirror, not the highly reflective mirror.
The crystal pumps energy through the flashlamp; the flashlamp does not pump energy through the crystal best describes Zach’s error.
What is a laser?A device that uses stimulated emission of photons from excited atoms or molecules to produce a strong beam of coherent monochromatic light is a laser.
When electrons in optical materials like glass, crystal, or gas absorb energy from an electrical current or light, a laser is formed.
The increased energy excites the electrons, causing them to migrate from a lower-energy orbit around the nucleus to a higher-energy orbit.
The crystal pumps energy through the flashlamp; the flashlamp does not pump energy through the crystal. This statement is incorrect.
Hence Option A best describes Zach’s error.
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Answer:
D. Light escapes through the partially reflective mirror, not the highly reflective mirror.
Explanation:
edge 2022, I took the test.
convert 9.2 km to m
Answer:
9,200 m
Explanation:
1 kilometer = 1000 meters so if there is 9 kilometers then it is 9000 meters, then .2 kilometer is equal to 200 meters. Add the numbers together to get 9,200 meters
Acceleration is the rate of change in the speed of an object. To determine the rate of acceleration, you use the formula below. The units for acceleration are meters per second per second or m/s2.
Explanation:
Acceleration is the rate of change in the speed of an object. If initial and final speed are v₁ and v₂. It changes speed in time t. Its formula is given by :
[tex]a=\dfrac{v_2-v_1}{t}[/tex]
The problem is "A skater increases her velocity from 2.0 m/s to 10.0 m/s in 3.0 seconds. What is the skater’s acceleration? "
In this problem,
v₁ = 2 , v₂ = 10 m/s and t = 3 s
Acceleration of the object,
[tex]a=\dfrac{10-2}{3}\\\\a=2.67\ m/s^2[/tex]
So, the acceleration of the skater is [tex]2.67\ m/s^2[/tex].
State the forces acting on an object that is stationary/moving. Explain how acceleration changes when the same object is kicked with a great force and a small force. Describe the difference in the movement if the initial object now weighs 50 lbs and is acted on by a small force and a large force.
Answer:
it all is force I the barly kick you then it won't do that much date but If the full force kick you then it might hurt.
Explanation:
i hope this helps
What are the benefits and drawbacks of using renewable energy sources to generate electricity?
Answer:
benefits
Diversifying energy supply and reducing dependence on imported fuels.
Creating economic development and jobs in manufacturing, installation, and more.
drawbacks
Large areas of landfill are required
Hydroelectric power is generated from flowing water, which turns turbines and generates electricity
Explanation:
Which statements represent convection? Select two options.
A. Black asphalt gets very hot on a sunny day.
B. The movement of air in a hot-air balloon makes it rise into the sky.
C. A dark sand beach can burn the soles of your feet.
D. A spoon gets warm from sitting in a soup pot.
E. A house has high heating bills because the heat ends up in the attic.
F. A house loses heat through an exterior wall.
Answer:
-The movement of air in a hot-air balloon makes it rise into the sky.
-A house has high heating bills because the heat ends up in the attic.
please mark as brainliest
Explanation:
I got the question right