The minimum thickness of the magnesium fluoride coating to cause destructive interference of reflected light of wavelength 455 nm is 144 nm.
The minimum thickness of the magnesium fluoride coating that will cause destructive interference of reflected light of wavelength 455 nm can be calculated using the formula for the optical thickness of a coating:
t = m * λ / (4 * (n1 - n2))
where:
t = minimum thickness of coating
m = an integer, representing the order of the destructive interference
λ = wavelength of light (455 nm)
n1 = refractive index of air (approximately 1)
n2 = refractive index of flint glass (1.66)
For destructive interference to occur, the optical thickness of the coating must be equal to an odd multiple of one-quarter of the wavelength of light. In this case, we will use m = 1:
t = 1 * 455 nm / (4 * (1 - 1.66))
t = approximately 144 nm
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Water diversion projects may involve the movement of water to dry regions using? A.canals
B.dams
C.reservoirs
D.sprinklers
Water diversion projects may involve the movement of water to dry regions using canals
Hence, option (a) is the correct choice.
Water diversions are made up of a system of structures and measures that intercept clear surface water runoff upstream of a project site, transport it around the work area, and discharge it downstream with minimal water quality degradation for either project construction operations or diversion construction.
Water diversion projects may involve the movement of water to dry regions using canals, reservoirs, and/or pipelines.
Dams can be used to store water for later use in these projects, but sprinklers are typically not involved in water diversion projects.
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an electron beam strikes a zn target. if you adjust the voltage accelerating the electron you will get different characteristic x-ray emission. for each of the accelerating voltages below give the shortest characteristic x-ray the zn will emit and illustrate that transition on an energy diagram.
For different accelerating voltages, the energy of the electrons in the beam will be different, resulting in different shortest characteristic X-ray emissions and different transitions on the energy diagram.
The energy of the X-ray photon depends on the difference in energy between the energy level of the ejected electron and the energy level of the electron filling the vacancy.
To illustrate this transition on an energy diagram, you can represent the energy levels of the electrons in the zinc atom as horizontal lines, with the ground state at the bottom and higher energy levels above it.
When an electron from the beam collides with a K-shell electron, the K-shell electron is ejected, creating a vacancy.
The vacancy is then filled by an electron from a higher energy level, emitting a characteristic X-ray photon.
The energy of the X-ray photon is represented by a vertical line connecting the energy level of the ejected electron and the energy level of the electron filling the vacancy.
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What best describes a possible transfer of energy?
Does a communications or weather satellite that is orbiting Earth follow Kepler's laws? Kepler's Laws of Motion These laws are true for any orbit: a planet orbiting a star, a moon orbiting a planet, or an artificial satellite orbiting the Earth.
Yes, a communication or weather satellite that is orbiting Earth follows Kepler's laws. Kepler's laws describe the motion of objects in orbit around a central body, such as a planet or a star.
These laws are based on the principles of gravity and the conservation of energy, and they describe the elliptical shape of an object's orbit, the relationship between the size of the orbit and the time it takes to complete one revolution, and the relationship between an object's distance from the central body and its orbital velocity.
Since a communication or weather satellite orbiting the Earth is subject to the laws of gravity, it follows Kepler's laws, just like any other object in orbit around a central body. This means that its orbit is elliptical, its orbital velocity changes based on its distance from the Earth, and it follows the other principles described by Kepler's laws.
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A rollerskating mom has 10,000 kgm/s of momentum. As she's skating, she picks up her 20kg son, who is at rest. What is the momentum of the mom and son together?
9) water stored in a dam is potential energy-
this is a give reason give me answer
Potential energy is the energy that an object has as a result of its position. Water contained in a dam has potential energy because it is elevated above the surrounding terrain.
Explain about the potential energy?An object's position-based energy is referred to as potential energy. As a result of being higher off the ground than other water storage areas, dam water has potential energy.
Water would flow downriver if there were no dams. The dam, however, restricts the water's flow and collects it there instead. The water now stands higher than the ground in relation to it. The water will possess stored potential energy because it is elevated above the earth.
The position of a rock on a cliff's brink. The rock will be moving if it falls, which will cause the potential energy to be transformed into kinetic energy. a longbow with a stretched-out elastic string.
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once the distance to a remote object is determined via triangulation, one can measure the angular diameter of the object and convert that to an actual diameter. for relatively small angular diameters of a few degrees or less, the corresponding linear diameter can be approximated using the following expression: diameter (57.3 degrees).
Consider the Moon and Sun. Their angular diameters are both equal to about .5 degree. If the Sun is roughly 400 times more distant than the Moon, how much bigger is the Sun's diameter than the Moon's?
The Sun's diameter is approximately 200 times greater than the Moon's.
The angular diameter of an object is proportional to its physical diameter and inversely proportional to its distance from the observer. Thus, we can write the following relationship:
Actual diameter = Angular diameter × distance
For the Moon, with an angular diameter of 0.5 degrees, we can write:
Diameter of the moon = 0.5 degrees × distance of the moon
And for the Sun, with an angular diameter of 0.5 degrees and a distance that is roughly 400 times greater than the Moon's:
Diameter of the Sun = 0.5 degrees × distance of Sun = 0.5 degrees × 400 distance of the Moon = 200 × diameter of the Moon
Therefore, the Sun's diameter is approximately 200 times greater than the Moon's.
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your engineering firm has been asked to determine the deceleration of a car during hard braking. to do so, you decide to measure the lengths of the skid marks when stopping from various initial speeds. your data are as follows: speed, v(m/s) skid length, x(m) 10 7 15 14 20 27 25 37 30 58
To determine the deceleration of a car during hard braking, you can use the equation a = (Vf^2 - Vi^2) / 2x, where Vf is the final speed, Vi is the initial speed, and x is the skid length. Using your data, we can calculate the deceleration as follows:
For the speed of 10 m/s, the deceleration is: a = (0^2 - 10^2) / 2*7 = -20/14 = -1.4 m/s^2For the speed of 15 m/s, the deceleration is: a = (0^2 - 15^2) / 2*14 = -45/28 = -1.6 m/s^2For the speed of 20 m/s, the deceleration is: a = (0^2 - 20^2) / 2*27 = -80/54 = -1.5 m/s^2For the speed of 25 m/s, the deceleration is: a = (0^2 - 25^2) / 2*37 = -125/74 = -1.7 m/s^2For the speed of 30 m/s, the deceleration is: a = (0^2 - 30^2) / 2*58 = -180/116 = -1.6 m/s^2From this, it is clear that the deceleration increases as the initial speed increases.
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Must post first.
After reading Chapter 7. describe how genetics and environment affect intelligence.
Do you believe your level of intelligence was improved because of the stimuli in your childhood environment? Why or why not?
Even if a kid has high IQ genes, if he or she grows up in a depressed setting with poor nutrition or little access to cerebral stimulation, the child may not perform well on IQ tests. The features and architecture of the brain define the intellect of everyone, including you and me. These are the outcomes of our inherited genes. Environment encounters can lower intellect (disease, toxins, and head trauma). In early children, there is a common environmental variance, but it disappears about age 12. The remaining trends include a growing IQ heredity and a decreasing variance related to the nonshared environment.
Thanks.
An airplane has an air speed of 120.2 m/s and flies due north, but the wind blows from the northeast to the southwest at 48.5 m/s. What is the plane’s actual ground speed?
The northeast to the southwest at 48.5 m/s ,The plane’s actual ground speed is 124 m / s.
What is the plane’s actual ground speed?An airplane has an air speed of 120.2 m/s, the southwest at 48.5 m/s.
The hypotenuse of a right triangle is created by multiplying the plane's north direction, which is perpendicular to the wind's direction of force, by these two vectors.
Pythagorean theorem is used to determine the velocity vector's magnitude: V V2 = V 2 p l a n e + V 2 w I n d
V 2 P G = ( 120 ) 2 + ( 48.5 )2 V P G ≈ 124 m / s
The northeast to the southwest at 48.5 m/s ,The plane’s actual ground speed is 124 m / s.
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100 POINTS, MULTIPLE QUESTIONS, NEED HELP ASAP
1. Does increasing the force affect the amount of work done climbing the stairs? Does increasing the distance affect the amount of work done climbing the stairs? How would you describe the mathematical relationship between these two parameters? Explain your answer using your data and graphs.
2. Does increasing the work affect the amount of power generated climbing the stairs? Does walking up the stairs faster affect the power generated? Explain your answer using your data and graphs. How would you describe the mathematical relationship between these two parameters? Notice the relationship when work is constant or when only time is constant.
3. Another student says that “For this experiment, the person with the most mass does the most work and has the most power.” How would you try to prove or disprove this conclusion using your data? Do you think that the student is correct? Why or why not?
4. Would the work that you do in walking up your flight of stairs differ in any of the following situations?
• Running up your flight of stairs
• Climbing a wall of an identical height to your stairs
• Walking up a long ramp to a height identical to your stairs
Explain your answer based on what you know about work, forces, and power.
I hope this helps, and drop me a crown if you feel like I deserve it please
where p is the pressure of a gas, v is the volume, n is the number of moles of a gas, r is a constant, and t is temperature in degrees kelvin. the ideal gas law perfectly applies to particles with no mass, no intermolecular interactions, and no true volume. however, real molecules do not adhere perfectly to the ideal gas law. 17. the relationship between total energy, kinetic energy, and potential energy could best be described as:
The relationship between total energy, kinetic energy, and potential energy can be described as follows:
Total energy is the sum of kinetic energy and potential energy. Kinetic energy is the energy of motion and is proportional to the mass and the square of the velocity of the object. Potential energy is the stored energy of an object due to its position in a field of force, such as gravity. The greater the mass and the greater the distance between two objects, the greater the potential energy.Kinetic energy is the energy an object has due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.
Kinetic energy is directly proportional to the mass of the object and to the square of its velocity: KE = 1/2 mv2. Kinetic energy is a property of a moving object or particle and depends not only on its motion but also on its mass. The higher the mass and the faster the object or particle is moving, the greater its kinetic energy will be.
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How do I solve this 625=1/2(8)(x)^2 ?
The value X is equal to 1/100 or -1/100
How to solve rational equations?
Any equation with at least one rational expression is referred to as a rational equation. The same operations are applied to both sides of the equation to solve rational equations in the same way that algebraic equations are, until the variable is isolated on one side of the equals sign.Rational Equation Solver. A rational equation is a particular kind of equation that contains at least one rational expression, which is just another way of saying a fraction.The ideal method for solving this kind of equation is to use the LCD principle to get rid of all the denominators (least common denominator).625 = 1/2(8)(x)^2
simplifying the equation,
625= 1/16x^2
multiply both sides by x^2
625x^2=(1/16x^2)x^2
simplify equation
625x^2=1/16
solve 625x^2=1/16, we get
x=1/100 or x=-1/100
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A baseball pitcher throws a baseball with a speed of 36 m/s . In throwing the baseball, the pitcher accelerates the ball through a displacement of about 3.5 m, from behind the body to the point where it is released as shown in (Figure 1) . Estimate the average acceleration of the ball during the throwing motion. Express your answer using two significant figures.
The time taken to accelerate the ball up to 3.5 m is 0.097. Then the acceleration of the ball will be 740 m/s².
What is acceleration ?The acceleration of a moving body is the rate of change in its velocity. It is a vector quantity having magnitude and direction.
Given that, speed v = 36 m/s
displacement s = 3.5 m
time = distance/speed
t = 3.5 m/ 36 m/s = 0.097 s.
then s = ut + 1/2 at²
initial velocity u = 0
then 3.5 m = 1/2 at²
a = 2 × 3.5 m/(0.097 s)²
= 740 m/s²
Therefor, the acceleration of the baseball is 740 m/s².
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(psychology question)
What is decay?
Decay is the quantity that can be stored.
Decay is a measure of time.
Decay is a measure of the quality of memories.
Decay is to diminish or break down.
Answer:
Decay is a measure of the quality of memories.
Explanation:
That is just a definition of decay theory for Psychology
Answer:
Decay is to diminish or break down.
Explanation:
took test
Near the surface of the moon, the distance that an object falls is a function of time. It is given by d(t) = 2.6667t^2, where t is in seconds and d(t) is in feet If an object is dropped from a certain height, find the average velocity of the object from t = 1 sec. to t = 2
The average velocity of the object from t = 1 sec. to t = 2 is 8 feet / sec.
calculate the average velocity of the object from t = 1 sec. to t = 2?
Average velocity is change in position over change in time.
To calculate this, we can see where the object is at t = 1 and where the object is at t = 2.
At t = 1:
d(t = 1) = 2.667 * (1)2 = 2.667 ft
At t = 2:
d(t = 2) = 2.667 * (2)2 = 10.667 ft
Our change in position is 10.667 - 2.667 = 8 feet
Our change in time is 2 sec - 1 sec = 1 second
Our average velocity between t = 1 and t = 2 is then 8 feet / sec.
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An engineer designing a system to control a router for a machining process modelima the system so that the router's acceleration (in /s2) during an interval of time is given by a = -0.4v, where v is the velocity of the router in in/s. When t=0, the position is so and the velocity is v2 in/s. What is the position at t-3 s? (10 points)
The position at t=3s is determined by the initial velocity and the equation above.
The integrating factor is defined as the function chosen to solve the given differential equation. It is most typically employed in first-order ordinary linear differential equations.
Where P(x) indicates the function of x and signifies the integrating factor.
To find the position of the router at t=3s,
we need to solve for the velocity and position at t=3s.
Starting with velocity, we have:
dv/dt = -0.4v
This is a first-order linear differential equation, which can be solved using an integrating factor method:
[tex]v = v2e^{(-0.4t)}[/tex]
Next, we integrate this to find the position:
dx/dt = v
[tex]x = v2 / 0.4 \times (1 - e^{(-0.4t)})[/tex]
Plugging in t=3 and the initial velocity, v2, we get:
x = [tex]v2 / 0.4 \times (1 - e^{(-0.4 \times 3)})[/tex]
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For a wire extended elastically, the elastic energy per unit volume X is given by
X=Ce^2E
where C is a constant,
e is the strain of the wire,
and E is the Young modulus of the wire.
Show that C has no units.
C's units must be dimensionless in order for the equation's units to be consistent, C doesn't have any.
What is elastic energy?When a force is applied to an object, it deforms, storing energy that is released when the force is removed. This energy is known as elastic energy. The inclination of the thing to assume its original shape results in this energy.
This is the case because C's units cancel out with the other variables' units in the equation.
The fractional change in the wire's length is represented by the strain, or e, which has no dimensions. The units of the Young modulus, E, are Newtons per square metre. The units of force and area cancel out when we square the strain and multiply it by the Young modulus, leaving only units of energy per unit volume.
For the units to cancel out appropriately in the equation X=Ce2E, the units of energy per unit volume are commonly written as joules per cubic metre (J/m3). Therefore, C, as a proportionality constant, must have no units.
Therefore, C has no units since C's units must be dimensionless for the equation to have consistent units.
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Suppose Gabor, a scuba diver, is at a depth of 15m
. Assume that:
The air pressure in his air tract is the same as the net water pressure at this depth. This prevents water from coming in through his nose.
The temperature of the air is constant (body temperature).
The air acts as an ideal gas.
Salt water has an average density of around 1.03 g/cm3
, which translates to an increase in pressure of 1.00 atm
for every 10.0 m
of depth below the surface. Therefore, for example, at 10.0 m
, the net pressure is 2.00 atm
.
What is the ratio of the molar concentration of gases in Gabor's lungs at the depth of 15 meters to that at the surface?
The molar concentration refers to nV
, i.e., the number of moles per unit volume. So you are asked to calculate (n/V)15m(n/V)surface
What type of expansion does the air in the "freediver's" (no gear) lungs undergo as the diver ascends?
the ratio of the molar concentration of gasses in Gabor's lungs to that at the surface is 3.00 : 1.00 atm and the type of expansion, isothermal expansion.
What is the molar concentration?At a depth of 15 meters, the net pressure is 3.00 atm (1.00 atm for every 10.0 m of depth below the surface). Since the air pressure in Gabor's air tract is the same as the net water pressure at this depth, the pressure of air in his lungs is 3.00 atm.
The molar concentration of a gas is proportional to its pressure and inversely proportional to its temperature and volume. Since the temperature is constant, the ratio of the molar concentration of gases in Gabor's lungs at the depth of 15 meters to that at the surface is given by:
(n/V)15m/(n/V)surface = (P15m/Psurface) = (3.00 atm/1.00 atm) = 3.00atm.
As the diver ascends, the air pressure in his lungs decreases, causing the air to expand. This is an example of an isothermal expansion.
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URGENT! A wave is modeled with the function y(x, t) = (0.50 m)sin 0.50 m−1 x − 0.20 s−1 t + 9 . Find the following.
The properties of the wave are
a. The amplitude
A = 0.50 m
b. The wave number
k = 0.50 m⁻¹
c. The angular frequency
ω = 0.20 s⁻¹
d. The wave speed
v = 0.4 m/s
e. The phase shift
Ф = π/9
f. The wavelength
λ = 12.57 m
g. The period
T = 31.42 s
What is a wave?A wave is a disturbance in space that carries energy from one point to another.
How to find the properties of the wave?Given that a wave is modeled with the function y(x, t) = (0.50 m)sin 0.50 m−1 x − 0.20 s−1 t + π/9). To find its properties, we compare it with the general wave equation y(x,t) = Asin(kx - ωt + Ф) where
A = amplitude, k = wave number, ω = angular frequency of wave and Ф = phase shift.Comparing both equations
a. The amplitudeA = 0.50 m
b. The wave numberk = 0.50 m⁻¹
c. The angular frequencyω = 0.20 s⁻¹
d. The wave speedThe wave speed v = ω/k
= 0.20 s⁻¹/0.50 m⁻¹
= 0.4 m/s
e. The phase shiftФ = π/9
f. The wavelengthSince the velocity of the wave v = fλ where
f = frequency of wave = ω/2π and λ = wavelengthSo, making λ subject of the formula, we have
λ = v/f
= v/ω/2π
= 2πv/ω
= 2π × 0.4 m/s ÷ 0.2 s⁻¹
= 2π × 2 m
= 4π m
= 12.57 m
g. The periodThe period of the wave T = 1/f where f = frequency of wave = ω/2π
So, T = 1/f
= 1/ω/2π
= 2π/ω
= 2π/0.2 s⁻¹
= 10π s
= 31.42 s
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If the speed of the electron changes from 9 x 10^6 m/s to 2 x10^6 m/s, what is the change in its kinetic energy?
The definition of kinetic energy for a mass m object moving at a velocity v is... One can demonstrate this by showing that if an object's height has increased by an amount y, then.
What do you mean by kinetic energy?A thing or particle's ability to move gives it kinetic energy, a form of power. An object source of globally through work, advancing and collecting kinetic energy as a result of being exposed to a net force.
The kinetic energy equation: what is it?The equation for kinetic energy is K E = 1 2 m v 2. KE stands as kinetic energy, where m stands for the total body weight and v for its speed.
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Plot the volume of a spherical tank as a function of its radius as a semi-log plot. Use a range of radius of (0, 10). Show proper labels on the axes. Give the plot a suitable title.
Hint: Volume of a spherical tank= 4/3πr^3
.
The volume of a spherical tank with a radius of (0, 10) is calculated as 4/3πr3, or 4/3π × 153 = 14,137 m3.
The volume of a sphere is calculated using the formula V = 4/3πr³, where r is the radius. The volume of a cylindrical tank with a radius of 15 m and a height of 20 m is calculated as πr2h, or π × 152 × 20 = 11,309 m3.
Therefore, the ratio of the volume of the spherical tank to the volume of the cylindrical tank is 14,137/11,309 = 1.24.
This means that the spherical tank has 24% more volume than the cylindrical tank.
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Advances in public health and medicine were some of the main reasons population ______ in the 18th century.
Advances in public health and medicine were some of the main reasons the population grew in the 18th century.
Public health focuses on illness prevention, whereas medicine focuses on the prevention, diagnosis, and treatment of patients. The primary instruments of the medical professional are medication, surgery, and other types of personalized intervention.
Vaccine invention and widespread usage, smallpox eradication, significant decreases in infectious disease outbreaks, and the rise and fall of various important chronic illnesses are among the contributions most noted for their influence on mortality and lifespan.
Public health evolved via trial and error and developing scientific medical knowledge, which was sometimes contentious and was sometimes prompted by war and natural calamities. The necessity for organized health protection arose as communal life evolved, particularly with urbanization and social changes.
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A rock is tossed straight up from ground level with a speed of 20 m/s. When it returns, it falls into a hole 10 m deep. a. What is the rock’s velocity as it hits the bottom of the hole? b. How long is the rock in the air, from the instant it is released until it hits the bottom of the hole?
a. The velocity of the rock as it hits the bottom of the hole is given by the equation of motion:
v = v₀ + a * t, where v₀ is the initial velocity (20 m/s), a is the acceleration due to gravity (-9.8 m/s²), and t is the time it takes to fall.
We can use the equation h = v₀ * t + 0.5 * a * t^2 to find t. Plugging in the initial velocity and the height of the hole, we have:
10 = 20 * t - 0.5 * 9.8 * t^2
Solving for t, we find that t = 1.5 s.
Finally, we plug t back into the first equation to find v:
v = 20 + (-9.8) * 1.5 = 20 - 14.7 = 5.3 m/s
So the rock has a velocity of 5.3 m/s as it hits the bottom of the hole.
b. The total time the rock is in the air can be found by adding the time it takes to reach its maximum height (t = v₀ / a) to the time it takes to fall back down to the bottom of the hole (t = √(2 * h / a)).
t = v₀ / a + √(2 * h / a)
Plugging in the initial velocity, the height of the hole, and the acceleration due to gravity, we have:
t = 20 / -9.8 + √(2 * 10 / -9.8)
t = 2.04 s
So the rock is in the air for a total of 2.04 s, from the instant it is released until it hits the bottom of the hole.
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the coordinates of the chameleon are (1.95m,1.4m) . in the following questions, convert the cartesian coordinates of the chameleon into the requested polar coordinates.
the coordinates of the chameleon are (1.95m,1.4m) . in the following questions, convert the cartesian coordinates of the chameleon into the requested polar coordinates.
The polar coordinates of the point (1.95m, 1.4m) can be calculated as follows:
The radial distance (r) is given by the Pythagorean theorem: r = sqrt(1.95^2 + 1.4^2) = 2.39mThe angle (θ) can be calculated using the arctangent function: θ = atan2(1.4, 1.95) = 0.67 radiansSo, the polar coordinates of the chameleon are (2.39m, 0.67 radians).
About Polar CoordinatesThe polar coordinate system (polar coordinate system) in mathematics is a 2-dimensional coordinate system in which each point in the plane is determined by a specified distance from a given point and an angle in a specified direction.
Polar coordinates are coordinates on the Cartesian which are located on a circle x2+y2=r2 , so polar coordinates are written based on the radius of the circle (r) and the angle formed with the positive X axis
The Cartesian coordinate formula is (x,y), where x = abscissa value (X axis) and y = ordinate value (Y axis). For more details, consider the example of a Cartesian diagram as follows. In the diagram above, there are two coordinate points, namely point A and point B.
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What is an increase of biodiversity over time after a natural or man-made disturbance
An increase of biodiversity over time after a natural or man-made disturbance is known as ecological succession.
What is force?In physics, force is an influence that can cause an object to accelerate, change its direction of motion, or deform. Force is defined as any interaction that can modify the motion of an object. It is a vector quantity, meaning that it has both magnitude (or strength) and direction. Force is usually measured in units of Newtons (N) in the International System of Units (SI). The Newton is defined as the amount of force required to accelerate a mass of one kilogram at a rate of one meter per second squared.
Here,
Ecological succession is the gradual process by which a community of living organisms changes over time after a disturbance has occurred. Disturbances can come in many forms, such as natural disasters like wildfires, hurricanes, or volcanic eruptions, or human-caused disturbances like clearcutting of forests or construction of roads. After a disturbance, the ecological community of the affected area undergoes a series of changes, starting with the colonization of new species that are able to survive and grow in the disturbed environment.
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Two cars, A and B , travel in a straight line. The distance of A from the starting point is given as a function of time by xA(t)=αt+βt2 , with α=2.60m/s and β=1.20m/s2 . The distance of B from the starting point is xB(t)=γt2−δt3 , with γ=2.80m/s2 and δ=0.20m/s3
The cars A and B are travelling through a straight line, and functions of the distance from starting point are given for both. We can use the equations as well as the differential equations to answer the questions.
The first question is which car starts first. For this we have to calculate the velocity.Velocity = dX/dt, at starting point, t=0
For car A, xA = αt+βt²
d xA/dt = α+ 2βt
= 2.60 + 1.20×0 = 2.60m/s
For car B, xB=γt²+δt³
d (Xb)/dt = 2×γt +3δt² = 2×2.80×0 + 3×0.20×0 = 0
So the car A starts first.
Next we have to calculate at what points the cars meet,When both cars are at the same point xA= xB
αt+βt² = γt²-δt³
2.60×t + 1.20×t² = 2.80×t²-0.20t³
0.20t³-1.60t²+2.60t = 0
Dividing both sides by 0.20
t³-8t²+13 = 0
By solving the quadratic equations, t = 4+√3 or 4-√3
So the cars meets when t=4+√3 and t=4-√3
When the distance between cars are not increasing or decreasing, then xB-xA= 0
γt²-δt³- αt-βt² = xB-xA
d(xB-xA)/dt = 2γt-3δt² -α-2βt
= 2×2.80t - 3×0.20t²+2.60-2×1.20×t
= 0.60t²-8t+2.60
Solving the quadratic equation
t= 13 or t= 1/3
So the distance neither decreases nor increases at t=1/3s and t=13s
When accelerations are equalAcceleration= d²x/dt
For car A, d²xA/dt = 2β
For car B, d²xB/dt = 2γ+6δt
When acceleration of car A = acceleration of car B
2β = 2γ+6δt
2×1.20 = 2×2.80- 6×0.20t
1.2t = 5.60-2.40
t = 3.20/1.2 = 2.6 s
So accelerations of both car are equal when t= 2.6 s.
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The complete question is
Two cars, A and B , travel in a straight line. The distance of A from the starting point is given as a function of time by xA(t)=αt+βt2 , with α=2.60m/s and β=1.20m/s2 . The distance of B from the starting point is xB(t)=γt2−δt3 , with γ=2.80m/s2 and δ=0.20m/s
Which car is ahead just after they leave the starting point?
At what time(s) are the cars at the same point? Express your answer numerically. If there is more than one answer, enter each answer separated by a commas.
At what time(s) is the distance from A to B neither increasing nor decreasing? Express your answer numerically. If there is more than one answer, enter each answer separated by a comma.
At what time(s) do A and B have the same acceleration? Express your answer numerically. If there is more than one answer, enter each answer separated by a comma.
An electron passes point A moving at 6.5 Mm/s. At point B the electron has come to a complete stop. Find the potential difference VAB.
The value of the potential difference VAB = ~5.3 x 10^-19 J.
Potential difference (V) is defined as the work done per unit charge to move a charge from one point to another.
The potential difference between two places in a circuit is the difference in the amount of energy that charge carriers have. **Volts measured: ** Potential differential (p.d.) is also known as voltage and is measured in volts (V).
Any two points' potential difference The amount of work done in transporting a unit positive charge without acceleration from one location to another along any path between the two points in the electric field is specified.
Since the electron has come to a complete stop at point B, the work done to bring it to that point is equal to its initial kinetic energy.
VAB = (1/2) * m * (v^2) / e,
where m is the mass of the electron,
v is its velocity at point A,
and e is the electronic charge.
Substituting the given values, we get:
VAB = (1/2) * 9.11 x 10^-31 kg * (6.5 x 10^6 m/s)^2 / (1.6 x 10^-19 C)
= ~5.3 x 10^-19 J.
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imagine you are an alien from a world without flashlights. you make some observations on earth and develop a hypothesis that flashlights require batteries to work. you do an experiment where you show that twenty flashlights without batteries do not work. an important control experiment is to show
You do an experiment where you show that twenty flashlights without batteries do not work. An important control experiment is to show that the flashlights do work with batteries. So option d. is correct.
A controlled experiment is one in which everything is kept constant except for one variable. Usually, a bunch of data is carried to be a control group, which is generally the ordinary or usual form, and one or more additional groups are analyzed where all situations are similar to the control group and each other except for one variable. Sometimes it's crucial to transform more than one variable, but all of the other experimental conditions will be regulated so that only the variables being explored change. And what is estimated is the variable amount or the manner in which they change.
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Complete question:-
Imagine you are an alien from a world without flashlights. You make some observations on Earth and develop a hypothesis that flashlights require batteries to work. You do an experiment where you show that twenty flashlights without batteries do not work. An important control experiment is to show
a. the flashlights do not work without connecting the bulb to the batteries.
b. the flashlights do not work without batteries or bulbs.
c. the flashlights do not work without bulbs.
d. that the flashlights do work with batteries.
What is the net force on an apple that weighs 1 n when you hold it at rest above your head? What is the net force on the apple when you release it?
Answer:408849499400504053-2
Explanation:kfnkdtozskf
