The deroglie wavelength is obtained by the formulas =ph=mvh==0. 0251006 and 6261034 for a bullet with a mass of 25 gm and a speed of 100 m/s, respectively. λ=ph=mvh=λ=0. 025×1006. 626×10−34=2.
What are the definitions of frequency and wavelength?While troughs have the same wavelength, the wavelength is the distance between two wave crests. The frequency is measured in cycles per second (Hz), which is the number of vibrations that pass over a certain location in a second (Hertz).
Can you infer velocity from wavelength?Their wavelength is defined as the distance between two comparable sites on adjacent waves. The quantity of waves crossing a specific location during a defined period of time is known as the wave frequency. The relationships between the three variables are illustrated by this equation: Speed is defined as Wavelength x Frequency.
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3. When the exposed side of the wings are in contact with the paper clips, there is a current flowing through the hoop that induces a magnetic field. Based on your observations, do the magnet and the hoop attract or repel one another when the loop continues to move?
The magnetic effect on moving electric charges, electric currents, and magnetic objects is described by a magnetic field, which is a vector field. A moving charge in a magnetic field feels a force perpendicular to its own motion and to the magnetic field.
What is called magnetic field?The magnetic effect on moving electric charges, electric currents,: ch1 and magnetic objects is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own motion and the magnetic field acts on it when the charge is travelling through a magnetic field. : ch13: 278 The magnetic field of a permanent magnet tugs on ferromagnetic elements like iron and draws or repels other magnets.
Paramagnetism, diamagnetism, and antiferromagnetism are three additional magnetic effects that a nonuniform magnetic field can have on "nonmagnetic" materials, though these forces are typically so minute that they can only be observed by laboratory apparatus.
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Calculate the kinetic energy of a rock with a mass of 55kg, rolling down a hill that is 27m high, with a velocity of 8m/s.
Kinetic energy of a rock with a mass of 55kg, rolling down a hill that is 27m high, with a velocity of 8m/s is 1760 J
What is kinetic energy?
The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. Applying a force requires us to do work. After work has been done, energy has been transferred to the object, and the object will be moving with a new constant speed.
Given:
m = 55 kg
v = 8 m/s
KE or kinetic energy of the rock
Formula and solution:
KE = 1/2 mv²
KE = 1/2 (55kg) (8 m/s)²
1/2 of 55kg = 55 ÷ 2 = 27.5kg
8² or 8×8 = 64 m²/s²
KE = (27.5kg) (64 m²/s²)
KE = 1760kg.m²/s²
Hence, 1760kg.m²/s² is a correct answer.
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What is one defining feature that separates comets from asteroids and meteoroids?
b
d
Comets are larger than moons, asteroids and meteoroids are smaller than moons.
Comets have an orbit, asteroids and meteoroids do not.
Comets are found on planet Earth, asteroids and meteoroids are only found in space.
Comets are covered in ice, asteroids and meteoroids are not.
Answer: d is correct
Explanation:
i did the quiz
Copernicus said that the rotation of the Earth on its axis caused the
A daily motions in the heavens. B phases of the Moon.
C retrograde motion of the plantes
D eclipses of the moon
E motion of the sun along the ecliptic
Copernicus said that rotation of the Earth on its axis caused the: A) daily motions in the heavens.
What does Copernicus say about rotation of Earth on its axis?Copernicus held that the Earth is another planet revolving around fixed Sun once a year and turning on its axis once a day. Nicolaus Copernicus detailed his radical theory of Universe in which the Earth, along with other planets rotated around the Sun and his theory took more than a century to become widely accepted.
Copernicus was an astronomer who proposed a heliocentric system, that planets orbit around the Sun and that Earth is a planet which, besides orbiting the Sun annually, turns once daily on its own axis. That very slow changes in the direction of this axis accounts for the precession of the equinoxes.
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How waves are reflected from ionosphere?
Waves are reflected from the ionosphere due to the ionization of the atmosphere. The ionosphere is a layer of the Earth's atmosphere that is ionized by solar and cosmic radiation. This ionization creates a layer of free electrons that can reflect radio waves back to Earth.
The ionization is the reason why radio waves can travel long distances, even around the curvature of the Earth.
The ionosphere is made up of several layers, each with different levels of ionization. The D layer is the lowest and is responsible for reflecting low frequency radio waves. The E layer is above the D layer and reflects medium frequency radio waves. The F layer is the highest and reflects high frequency radio waves.
The ionosphere of radio waves from the ionosphere is also affected by the angle of incidence of the wave. Waves that hit the ionosphere at a perpendicular angle are more likely to be reflected back to Earth, while waves that hit at a shallow angle are more likely to pass through the ionosphere and continue into space.
Waves are reflected from the ionosphere due to the ionization of the atmosphere and the angle of incidence of the wave. This reflection allows radio waves to travel long distances and is an important aspect of radio communication.
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a particle moves in a circle with radius 10 cm and with a uniform speed 1.3 m/s. what is the centripetal acceleration of this particle?
The acceleration that a particle experiences while travelling in a circle is known as centripetal acceleration. It is aimed at the circle's centre and prevents the particle from deviating from its course. The formula yields the centripetal acceleration.
What is centripetal acceleration?When a body moves in a circle, its direction is continually changing, which causes a change in velocity and an acceleration.
[tex]a = v^2 / r[/tex]
The following formula determines the centripetal acceleration of a particle travelling in a circle:
[tex]a = v^2 / r[/tex]
Where r is the circle's radius, v is the particle's uniform speed, and an is the centripetal acceleration.
In this instance, the circle's radius is 10 cm, or 0.1 m, and the particle's speed is 1.3 m/s. Using these numbers as formula inputs.
[tex]a = (1.3 m/s)^2 / (0.1 m)[/tex]
[tex]a = 169 m/s^2[/tex]
Therefore, The centripetal acceleration of the particle is [tex]169 m/s^2.[/tex]
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How do you find the squared period in physics?
To find the squared period of an object, you can use the following equation: T² = 4π²m/k
(Where T is the period, m is the mass of the object, and k is the spring constant or the force constant of the system.)
In physics, the squared period is a measure of the time it takes for an object to complete one full cycle or oscillation. It is often used to describe the behavior of oscillatory systems, such as pendulums or springs.
To find the squared period, you simply need to plug in the values for m and k and solve for T. Once you have found the period, you can square it to find the squared period.
For example, if you have a spring with a mass of 2 kg and a spring constant of 10 N/m, you would plug these values into the equation:
T² = 4π²(2 kg)/(10 N/m)
Solving for T gives you:
T = 2π√(2 kg/10 N/m)
T = 0.89 seconds
To find the squared period, you would simply square the period:
T² = (0.89 seconds)²
T² = 0.79 seconds²
So the squared period of this system is 0.79 seconds².
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How much work is required to set up the four-charge configuration of the figure if q=3.12 pC, a = 46.5 cm, and the particles are initially infinitely far and at rest? Number units The number of significant digits is set to 3; the tolerance is +/-2%
The amount of work required to set up the four-charge configuration is 3.62 x 10⁻¹⁰ J.
How to calculate four-charge configuration?To calculate the work required to set up the four-charge configuration, you need to calculate the potential energy of the system. The potential energy of a system of point charges is given by the formula:
U = k × ∑(qi × qj) / rij
Where k is Coulomb's constant (8.99 x 10⁹ N × m² / C²), qi and qj are the charges of the particles, and rij is the distance between them.
In this case, the four charges are located at the four corners of a square with side length a. The distance between each pair of charges is equal to the diagonal of the square, or √2 × a.
The total potential energy of the system can be calculated as:
U = k × (q² / (√2 × a)) + k × (q² / (√2 × a)) + k × (q² / (√2 × a)) + k × (q² / (√2 × a))
U = 4 × k × (q² / (√2 × a))
Substituting the given values:
U = 4 x 8.99 x 10⁹ N × m² / C² x (3.12 x 10⁻¹² C)² / (√2 x 46.5 cm)
U = 3.62 x 10⁻¹⁰ J
So, the work required to set up the four-charge configuration is 3.62 x 10⁻¹⁰ J.
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why a compartment that has the lowest water potential??
The compartment with the lowest water potential is typically the one with the highest solute concentration, which creates a strong osmotic pressure that draws water molecules from areas of higher water potential to areas of lower water potential.
This movement of water across cell membranes is essential for many biological processes, such as the uptake of water by plant roots and the regulation of blood volume in animals.
In plant cells, the compartment with the lowest water potential is often the cell's central vacuole, which contains a high concentration of solutes like sugars and ions. This creates a turgor pressure that helps maintain the cell's shape and rigidity. In animal cells, the compartment with the lowest water potential can vary depending on the specific cell type and its surrounding environment.
"
Correct question
Which compartment has the lowest water potential?
"
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the solar panels absorb sunlight that is later used to heat the house directly. the tree provides shade preventing heating of the house in the summer. how does the tree help in passive heating of the house in winter?
You can let sunlight into your home and help it get warmer by growing deciduous trees all around it.
How can you conserve energy by growing trees around your house?
Your heating and cooling expenses can be decreased by trees. In the summer, trees reduce energy use by cooling the air, while in the winter, they act as a wind break. As a result, less fossil fuels are burned to provide power for heating and cooling.
Planting deciduous trees around the house to shade your windows, doors, and external heat pump is one of the best passive heating/cooling techniques. Wintertime leaf loss on deciduous trees makes it possible for the sun's warm rays to enter the house and aid in keeping it warm. During the winter, most trees do 'slow down,' including deciduous trees that lose their leaves completely stop photosynthesis.
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2 kg of steam at a pressure of 1 bar is contained in a rigid sealed tank whose volume is 3. 97 m3. The steam begins to cool off as heat is transferred to the atmosphere. When the internal pressure reaches 10 kPa, the tank walls will collapse.
a) What is the initial temperature of the steam in the tank (°C)?
b) What will the temperature be in the tank when the walls collapse (°C)?
c) At the instant of collapse, how many kg of water are in the liquid state?
d) What is the total change in internal energy (kJ) for the process? Does ????U increase or decrease?
According to the statement, about the internal pressure of the collapsing tank walls, we answer the following questions:
a) The initial temperature of the steam in the tank can be found using the ideal gas law:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature. Rearranging the equation and solving for T gives:
T = PV/(nR)
Plugging in the given values:
T = (1 bar)(3.97 m3)/[(2 kg)/(0.018 kg/mol)(8.314 J/mol·K)]
T = 530.5 K
Converting to degrees Celsius:
T = 530.5 K - 273.15 K = 257.35°C
Therefore, the initial temperature of the steam in the tank is 257.35°C.
b) The temperature at the instant of collapse can be found using the same equation, but with the pressure at 10 kPa:
T = (10 kPa)(3.97 m3)/[(2 kg)/(0.018 kg/mol)(8.314 J/mol·K)]
T = 11.87 K
Converting to degrees Celsius:
T = 11.87 K - 273.15 K = -261.28°C
Therefore, the temperature in the tank when the walls collapse is -261.28°C.
c) At the instant of collapse, the amount of water in the liquid state can be found using the equation:
n = PV/RT
where n is the number of moles of water, P is the pressure, V is the volume, R is the ideal gas constant, and T is the temperature. Plugging in the values at the instant of collapse:
n = (10 kPa)(3.97 m3)/[(8.314 J/mol·K)(11.87 K)]
n = 4.02 mol
Converting to kilograms:
m = (4.02 mol)(0.018 kg/mol) = 0.07236 kg
Therefore, at the instant of collapse, there are 0.07236 kg of water in the liquid state.
d) The total change in internal energy can be found using the equation:
ΔU = nCvΔT
where ΔU is the change in internal energy, n is the number of moles of gas, Cv is the specific heat capacity at constant volume, and ΔT is the change in temperature. Plugging in the values:
ΔU = (4.02 mol)(20.8 J/mol·K)(-261.28 K - 257.35 K)
ΔU = -54,340 J = -54.34 kJ
Therefore, the total change in internal energy for the process is -54.34 kJ. Since the change in internal energy is negative, this means that the internal energy decreases during the process.
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Which do scientists study to determine air temperature at the time it was formed? Select the two correct answers. (1 point) (Box) Fossilized pollen (Box) air bubbles trapped in ice (Box) tree rings (Box) chemical isotopes in foraminifera shells
Scientists study B: "Air bubbles trapped in ice" and D: "Chemical isotopes in foraminifera shells" in oredr to determine air temperature at the time it was formed.
Scientists can study air bubbles trapped in ice to determine the air temperature at the time it was formed. The air bubbles in the ice provide a record of the atmospheric composition at the time the ice formed, and the isotopic composition of the trapped air can provide information about the temperature at the time of ice formation.
Scientists can also study chemical isotopes in foraminifera shells, which are microscopic marine organisms that have been around for millions of years. By analyzing the isotopic composition of the shells, scientists can infer the temperature of the water in which the foraminifera lived, which in turn can provide information about the temperature of the atmosphere at the time.
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What is the ICD-10 code for lung mass?
Answer:
Explanation:
The ICD-10 code for a lung mass can vary depending on the specific diagnosis, but some common codes include:
J98.11: Obstructive chronic bronchitis with (acute) exacerbation
J98.2: Other specified respiratory disorders
J98.8: Other specified respiratory disorders
J98.9: Unspecified respiratory disorder, not elsewhere classified
It is important to note that these codes are just a general guide and a definitive diagnosis should be made by a healthcare professional based on a patient's individual medical history and symptoms. The code assigned for a lung mass will depend on the underlying cause and the specific diagnosis determined by the clinician.
A fully charged capacitor initially has an air gap and is disconnected from the battery. A dielectric material is inserted between the plates What happen to the free charge at surface of the capacitor plates and the total charge free and bound at the surface of the capacitor plates?
When a dielectric material is inserted between the plates of a capacitor, the free charge on the surface of the capacitor plates will be reduced. This is because some of the free charge is transferred to the dielectric material.
What is the charge ?The charge is the amount of money that someone is required to pay for a product or service. It is the cost that someone agrees to pay in exchange for goods or services. This charge can be either a fixed amount or a percentage of the total purchase amount. Charges can also include fees such as taxes, late fees, processing fees, and handling fees. Charges can be paid in cash, by credit card, or by check.
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Which one of the following best defines the notion of "the P-value of a hypothesis test?"
The best definition for the notion of "the P-value of a hypothesis test" is "The probability of obtaining a test statistic at least as extreme as the one you calculated, assuming the null hypothesis is true."
The P-value is a measure of the evidence against the null hypothesis. A low P-value (typically less than 0.05) suggests that the observed data is unlikely to have occurred by chance if the null hypothesis is true, and provides strong evidence against the null hypothesis.
On the other hand, a high P-value (greater than 0.05) indicates weak evidence against the null hypothesis, and supports the conclusion that the null hypothesis is not significantly different from the alternative hypothesis.
"
Complete question is
Which one of the following best defines the notion of "the P-value of a hypothesis test?"
The probability of a type I error.
The probability of a type II error.
The probability of rejecting LaTeX: H_0 H 0 , whether it's true or not.
The probability of obtaining a test statistic at least as extreme as the one you calculated, assuming the null hypothesis is true.
"
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Indicate what happens when light strikes each type of matter listed below:
T = transmits straight through
B = refracts (bends)
R = reflects
A = absorbs
1) empty space (vacuum)
2) water in an aquarium
3) soil on a hillside
4) a glass window in a car
5) a brick wall
6) a lens in a camera
7) a mirror on a wall
8) water in a swimming pool
9) a roof covered with snow
10) a black shirt
The behavior of light, when it travels through the listed matters, can be found below.
The behavior of light upon striking surfacesEmpty space (vacuum): Light travels straight through it (T).Water in an aquarium: Light enters and refracts (bends) due to the change in density between air and water (B).Soil on a hillside: Light may reflect off the surface or be absorbed into the soil (R or A).A glass window in a car: Some light is transmitted through the window, some are reflected off the surface, and some are refracted as it passes through the glass (T, R, and B).A brick wall: Light may reflect off the surface or be absorbed into the wall (R or A).A lens in a camera: Light passes through and is refracted by the lens to form an image (B).A mirror on a wall: Light reflects off the mirror's surface (R).Water in a swimming pool: Light enters and refracts due to the change in density between air and water (B).A roof covered with snow: Light may reflect off the surface or be absorbed into the snow (R or A).A black shirt: Light is absorbed by the shirt's pigments, which do not reflect any color (A).More on light can be found here: https://brainly.com/question/15200315
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An experienced scientist has carefully plotted the position of the epicenter of an earthquake using data from 5 seismic laboratories but the circles doe not all meet at a single point. The most logical explanation why this might be is
a. Human error
b. Not all stations are detecting the same earthquake
c. The seismic waves graph does not apply to all the seismic wave paths equally
d. The times on the clocks for the seismographs are not accurately set
Answer:
d. The times on the clocks for the seismographs are not accurately set
Explanation:
How does condensation change water state?
Condensation is the process where water vapor becomes liquid and it is the reverse of evaporation where liquid water becomes a vapor.
What is meant by condensation?Condensation happens when the air is cooled to its dew point or it becomes so saturated with water vapor that it cannot hold any more water.
Condensation is the process by which water vapor is changed into liquid water and it's the opposite of evaporation. Condensation is important for the water cycle because it is responsible for the formation of clouds.
Heat is released when vapor condenses. Unless this heat is removed, surface temperature increases until it is equal to that of surrounding vapor.
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How to use physics right hand rules?
Physics right hand rules can be used to determine the direction of a magnetic field, the direction of magnetic force, and the direction of current flow in a wire.
For example, to use the right hand rule for magnetic fields, you point your thumb in the direction of the current flow and curl your fingers in the direction of the magnetic field. This will give you the direction of the field lines. Similarly, the right hand rule for magnetic force involves pointing your index finger in the direction of the magnetic field, your middle finger in the direction of the current flow, and your thumb will point in the direction of the magnetic force acting on the wire.
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How does voltage cause current to do work?
When there is a voltage difference between two points in a circuit, the electric charge flows from the higher voltage point to the lower voltage point, creating an electric current.
What is the role of voltage in a current?When the electric current flows through a device such as a light bulb, a motor, or a heater, it does work by transforming electrical energy into another form of energy. For example, in a light bulb, the electric current causes the filament to heat up and emit light.
The amount of work that can be done by the electric current depends on the voltage and the resistance of the device. The higher the voltage and the lower the resistance, the greater the current and the more work that can be done.
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what scale predicts the potential threat posed by an asteroid impact?
The most commonly used scale for predicting the potential threat posed by an asteroid impact is the Torino Scale and the more recently developed Palermo Scale.
What is Asteroid ?An asteroid is a small rocky or metallic object that orbits the Sun. Most asteroids are found in the asteroid belt, a region of the solar system between the orbits of Mars and Jupiter. However, some asteroids can have orbits that bring them closer to Earth.
The Torino Scale, which was first introduced in 1999, is a risk assessment scale that uses a range of values from 0 to 10 to quantify the potential impact hazard of a near-Earth object (NEO) such as an asteroid or comet. The Torino Scale takes into account the size, velocity, and proximity of the NEO, as well as the likelihood of impact and the potential consequences.
The Palermo Scale, which was introduced in 2001, is a more sophisticated version of the Torino Scale that uses a probability-based approach to assess the potential impact hazard of a NEO. The Palermo Scale takes into account a wider range of factors, such as the NEO's orbit and the likelihood of impact, and provides a more accurate estimate of the potential threat.
Hence, The most commonly used scale for predicting the potential threat posed by an asteroid impact is the Torino Scale and the more recently developed Palermo Scale.
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The specific heat at constant volume of a particular gas is 0.182 kcal/kg.K at room temperature, and its molecular mass is 34. What is the specific heat at constant pressure? What do you think is the molecular structure of this gas?
The specific heat at constant pressure (Cp) for the given gas is 1.049 kJ/kg.K. The molecular structure of the gas is likely to be monoatomic, with possible examples including helium, neon, and argon.
The specific heat at constant pressure (Cp) can be calculated from the specific heat at constant volume (Cv) using the relationship: Cp = Cv + R, where R is the gas constant for the particular gas. For air, R = 0.287 kJ/kg.K. Using the conversion factor 1 kcal = 4.186 kJ, we can convert the given value of Cv to the SI unit, and then calculate Cp:
Cv = 0.182 kcal/kg.K = 0.182 x 4.186 kJ/kg.K = 0.762 kJ/kg.K
Cp = Cv + R = 0.762 kJ/kg.K + 0.287 kJ/kg.K = 1.049 kJ/kg.K
The ratio of Cp to Cv for any gas is related to its molecular structure. For monoatomic gases, this ratio is equal to 5/3. For diatomic gases like nitrogen and oxygen, this ratio is equal to 7/5. For triatomic gases like carbon dioxide, this ratio is equal to 9/7. Since the calculated value of Cp/Cv for the given gas is 1.049/0.762 = 1.376, which is closer to 4/3, we can infer that the molecular structure of this gas is likely to be monoatomic. Possible examples of such gases include helium, neon, and argon.
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How do you find the atomic radius on the periodic table?
The atomic radius on the periodic table generally increases from top to bottom within a group and decreases from left to right across a period.
The atomic radius refers to the distance between the nucleus of an atom and its valence electrons. It is measured in picometers (pm) or angstroms (Å). On the periodic table, elements are arranged in periods (horizontal rows) and groups (vertical columns).
Within a group, the atomic radius generally increases as you move down because the number of electron shells increases, resulting in a larger atomic radius.
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The gravitational force between two objects can cause them to move. If will had two rubber balls and dropped them, which of the following would affect the gravitational force?
There will not be any effect on rubber balls but if there will be metallic ball then emf will be generated in the ball and its falling speed will be reduced slightly.
What is gravity?Gravity attracts objects with mass to one another. We frequently consider the gravity of the Earth. This force holds the body in place. Any object with mass, on the other hand, has a gravitational effect on all other objects with mass. Gravity is measured by the acceleration it imparts to an object in free fall.
On the Earth's surface, the acceleration in free fall is approximately 9.8 metres (32 feet) per second. So, for every second that an object falls freely, its speed increases by approximately 9.8 metres per second. Gravity is a force that does not make contact with anything. Gravity does not require any contact with the object. Gravity affects all objects, even if they are not in contact with the ground.
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At t = 10 s, a particle is moving from left to right with a speed of 5. 0 m/s. At t = 20 s, the particle is moving right to left with a speed of 8. 0 m/s. Assume the particle's acceleration is constant and that to the right is the positive direction.
Given,
At time t = 10 s moving from left to right speed of particle = 5 m/s
at t = 20 s moving from right to left speed of particle is = 8 m/s
a) acceleration
a = v/t
a= -8-5/20-10
a = -1.3 m/s²
b) using equation of motion
v = u + at
5 = u - 1.3 × 10
u = 5 + 13
u = 18 m/s
c) v = u + at
0 = 18 - 1.3t
t = 13.85 s
What is acceleration?
Uniform or constant acceleration is a type of motion where an object's velocity changes by an equal amount during a period of time that is the same length.
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Why do we need to set the wavelength of a spectrophotometer?
Setting the wavelength of a spectrophotometer allows you to measure the specific absorption or emission spectrum of a sample, which is necessary to determine the concentration of the specific substance of interest in the sample.
Why is setting wavelength needed?
The wavelength of a spectrophotometer is set to match the specific absorption or emission spectrum of the sample being analyzed. Spectrophotometers work by measuring the amount of light that is absorbed or transmitted by a sample, which is dependent on the specific properties of the sample at a given wavelength.
Each substance has its own unique absorption or emission spectrum, which is a plot of the intensity of light absorbed or emitted at different wavelengths. By setting the wavelength of the spectrophotometer to match the specific wavelength of interest, you can determine the specific concentration of the substance in the sample.
For example, in a biochemical application, you may want to determine the concentration of a specific protein in a sample. By setting the wavelength of the spectrophotometer to the maximum absorption wavelength of the protein, you can measure the amount of light absorbed by the protein, which can be used to determine its concentration.
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.
suppose that a motorboat is moving at ft/s when its motor suddenly quits, and that s later the boat has slowed to ft/s. assume that the resistance it encounters while coasting is proportional to its velocity, so that dv/dtkv. how far will the boat coast in all?
The boat will cost a total of 287.7 feet.
Using calculus, we can find that the equation for the velocity of the boat at any given time is[tex]v(t) = 90e^(-0.1t)[/tex]. We can then integrate this equation to find the total distance the boat travels while coasting.
Integrating v(t) from t=0 to t=s, where s is the time it takes for the boat to slow to 30 ft/s, we get:
[tex]∫(0 to s) 90e^(-0.1t) dt = 900(-e^(-0.1s) + 1)[/tex]
We know that at s seconds, [tex]v(s) = 30 ft/s[/tex], so we can solve for s:
30 = 90e^(-0.1s)
s ≈ 6.848 seconds
Substituting this value of s into our previous equation, we get:
[tex]900(-e^(-0.1(6.848)) + 1) ≈ 287.7 feet[/tex]
Therefore, the boat will coast a total of 287.7 feet before coming to a complete stop.
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the energy being used to do work is called energy and is the energy of motion.
The energy being used to do work is called kinetic energy, which is the energy of motion. Kinetic energy is a measure of the amount of energy an object possesses due to its motion.
What is kinetic energy?The energy being used to do work is called kinetic energy, which is the energy of motion. Kinetic energy is a measure of the amount of energy an object possesses due to its motion.
Kinetic energy is a type of energy that an object possesses as a result of its motion. It is the energy associated with an object's movement or the energy that is being used to do work. Kinetic energy is proportional to the mass of an object and to the square of its velocity.
The formula for calculating the kinetic energy of an object is:
[tex]\mathrm{ KE = 0.5 \times m \times v^2 }[/tex]
where:
KE is the kinetic energy,
m is the mass of the object, and
v is its velocity.
In physics, kinetic energy is an important concept in the study of motion, energy, and work. It plays a crucial role in many areas of physics, including mechanics, thermodynamics, and quantum mechanics, among others.
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during each heartbeat, about 80 g of blood is pumped into the aorta in approximately 0.20 s. during this time, the blood is accelerated from rest to about 1.0 cm/s. what is the average net force on the blood during this time?
The average net force on the blood during this time is 0.4 F
According to Newton's second law, we use formula
F=m.a
F=(m.v)/t
F= 80×1/0.20
F=0.4 F
Newton's II lawNewton's II law reads "An object with mass m experiences a resultant force of F will experience acceleration (a) whose direction is the same as the direction of the force and its magnitude is directly proportional to F and inversely proportional to mass (m)."
Every object tends to maintain its state as long as there is no resultant force acting on it. Newton's experimental results show that the force exerted on an object will cause the object to experience a change in velocity.
When the force is in the same direction as the object's motion, its speed increases and when the force is opposite to the object's motion, its speed decreases.
Formulas on Newton's Law II
F = m.a
F = the force acting on the object (N)
m = mass of object given force (kg)
a = acceleration of the object given the force (m/s2)
If the style works more than one is written:
∑F= ∑ m.a
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A (c) Figure 1 shown below is a diagram of a non-uniform wooden plank, AB, which is 2.0 m long and weighs 1000 N. The plank is supported from a ceiling by two vertical springs, P and Q. The plank is attached at a distance of 0.5 m from each end. C is the centre of gravity as shown in Figure 1. P 0.5 m elek C 0.5 m W = 1000 N Figure 1. Diagram of a non-uniform wooden plank supported by two springs, P and Q. B When the plank is horizontal, the tension in Spring P is 600 N. a. Draw a force diagram showing all the information given in the question and Figure 1. (3 marks) b. Calculate the tension in Spring Q. Show ALL working. (2 marks) c. By taking moments about A, determine the horizontal distance from P to C. (5 marks) d. State why the centre of gravity is located closer to the point P than the point Q. (1 mark)
Answer:
A.) Draw a force diagram showing all the information given in the question and Figure 1:
[Force Diagram]
B.) Calculate the tension in Spring Q. Show ALL working:
Using Newton's Second Law of Motion, the sum of forces in the horizontal direction must equal 0. Therefore, TQ + TP - W = 0
Substituting the values given, TQ + 600N - 1000N = 0
Solving for TQ, TQ = 400N
C.) By taking moments about A, determine the horizontal distance from P to C:
Taking moments about A, we get: TQ x (2-x) - TP x x = 0
Substituting the values given, 400N x (2-x) - 600N x x = 0
Solving for x, x = 2m
Therefore, the horizontal distance from P to C is 2m.
D.) State why the centre of gravity is located closer to the point P than the point Q:
The centre of gravity is located closer to the point P than the point Q because the tension in spring P is greater than the tension in spring Q. The greater the tension in the spring, the more the board will be pulled in that direction, leading to a gravitational centre closer to the higher tension spring.