The angular magnification of the eyepiece is 4.5.
How to calculate angular magnificationThe angular magnification (m2) of the eyepiece can be found using the formula for total magnification and lateral magnification of the objective lens.
Total magnification (M) = Objective lens magnification (m1) × Eyepiece magnification (m2)
First, we need to find the total magnification (M).
To do this, we'll use the formula:
Apparent size = Actual size × Total magnification 9.0 mm = 2.0 micrometers × M
Since 1 mm = 1000 micrometers, we can convert the apparent size to micrometers:
9000 micrometers = 2.0 micrometers × M M = 9000 / 2 = 4500
Now we have the total magnification (M = 4500) and the lateral magnification of the objective lens (m1 = 1000).
We can find the angular magnification (m2) of the eyepiece using the formula:
4500 = 1000 × m2
m2 = 4500 / 1000 = 4.5
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Which has more momentum: a large parked car or a slow moving feather?
Answer: Slow moving feather
The parked car has 0 velocity since it is stationary. The momentum of the car is 0 because momentum = mass*velocity.
On the other hand, the feather is moving, so its velocity is some positive value. Even if it's a small velocity value and the mass of the feather is small, the two will multiply to some positive momentum which is larger than 0.
So the feather has larger momentum compared to the parked car.
A plane is flying with an airspeed of 190 miles per hour and heading 150°. The wind currents are running at 30 miles per hour at 170° clockwise from due north. Use vectors to find the true course and ground speed of the plane. (Round your answers to the nearest ten for the speed and to the nearest whole number for the angle.)
Answer:
\(Vg=200mile/hr\)
\(\theta=153 \textdegree\)
Explanation:
From the question we are told that:
Plane airspeed \(v_p=190mil/h\)
Plane direction \(\angle=150 \textdegree\)
Wind current speed \(V_w=30mil/h\)
Wind direction \(\angle=150 \textdegree\)
Generally the vector form of the forces is mathematically given by
For plane
\(\angle Q_p=90-150 \textdegree\)
\(V_p=170(cos60 \textdegree ,sin60 \textdegree)\)
\(V_p=(85,-147.224)\)
For wind
\(\angle Q_w=90-170 \textdegree\)
\(V_w=30(cos-80 \textdegree ,sin-80 \textdegree)\)
\(V_w=(5.2,-29.54)\)
Generally the equation for resultant force is mathematically given by
\(v_r=V_a+V_w\)
\(v_r=(85,-147.224)+(5.2,-29.54)\)
\(v_r=(90.21,-176.76)\)
\(v_r=198.45\angle -63\)
Therefore ground speed
\(V_g=198.5miles/hr\)
\(Vg=200mile/hr\)
Direction
\(\theta=(90+63)=153 \textdegree\)
\(\theta=153 \textdegree\)
39 liters of water at
20 °C are mixed with
21 liters of water at
60 °C. What is the
temperature of the
mixture?
Answer:
Temperature of the mixture=8 °C
Explanation:
Let, Temperature of the mixture=t °C
Q₁ = Q₂
=> m₁SΔΘ₁ = m₂SΔΘ₂
=> 39 × (20+t) = 21 × (60-t)
∴ t = 8 °C
hope you have understood this
pls mark it as the brainliest
How did astronomers finally solve the mystery of what gamma-ray bursts were? What instruments were required to find the solution?
A significant source of information used to determine the unidentified sources of the gamma-rays was data from NASA's Hubble and Fermi space telescopes.
What determine unidentified sources of the gamma-rays?Researchers examined data on a variety of galaxies, including their rates of star formation, total masses, physical sizes, and separations from Earth.
Several satellites used to track treaty compliance found a significant rise in the quantity of gamma rays they were counting every second.
Therefore, based on the effects of the freed atomic electrons in gases, crystals, and semiconductors, conventional methods for gamma ray detection are described in radiation measurement and scintillation counter. Atomic nuclei and gamma rays can collaborate.
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A significant source of information used to determine the unidentified sources of the gamma-rays was data from NASA's Hubble and Fermi space telescopes.
What determine unidentified sources of the gamma-rays?Researchers examined data on a variety of galaxies, including their rates of star formation, total masses, physical sizes, and separations from Earth.
Several satellites used to track treaty compliance found a significant rise in the quantity of gamma rays they were counting every second.
Therefore, based on the effects of the freed atomic electrons in gases, crystals, and semiconductors, conventional methods for gamma ray detection are described in radiation measurement and scintillation counter. Atomic nuclei and gamma rays can collaborate.
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What is the mass of an object that requires a force of 30 N to accelerate at 5 m/s2?
Answer:
6 Kg.
Explanation:
From the question given above, the following data were obtained:
Force (F) = 30 N
Acceleration (a) = 5 m/s²
Mass (m) =?
Force (F) is defined as the product of mass (m) and acceleration (a). Mathematically, it can be expressed as:
Force (F) = mass (m) × acceleration (a)
F = ma
With the above formula, we can obtain the mass of the object as follow:
Force (F) = 30 N
Acceleration (a) = 5 m/s²
Mass (m) =?
F = ma
30 = m × 5
Divide both side by 5
m = 30 / 5
m = 6 Kg
Therefore, the mass of the object is 6 Kg
which direction does the moon rotate around the earth
The moon rotates around the Earth in the same direction as the Earth rotates on its axis, which is counterclockwise when viewed from the North Pole.
This means that the moon also appears to move from east to west across the sky, as it orbits around the Earth. However, the moon's orbit around the Earth is not perfectly circular, but rather slightly elliptical, which means that the moon's distance from the Earth varies throughout its orbit. This causes the moon to appear slightly larger and smaller in the sky at different times of the month, and also affects the strength of the tides on Earth.
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Which property of a transverse wave stays the same even as the wave's
energy and other properties change?
Wavelength
Frequency
Rest position
Amplitude
ent
1 of 8 QUESTIONS
SUBMIT
The property of a transverse wave that stays the same even as the wave's energy and other properties change is the wavelength.
The correct option to the given question is option a.
The wavelength is the distance between two successive points of the wave that are in phase. As the wave's energy and amplitude change, the distance between two successive points of the wave that are in phase remains the same.
This is because wavelength is determined by the frequency of the wave and the speed of propagation. The frequency of the wave is the number of cycles of the wave that occur in one second, while the speed of propagation is the rate at which the wave travels through a medium.
If the frequency of the wave and the speed of propagation remain the same, then the wavelength will also remain the same even as the wave's energy and other properties change. This property is known as the characteristic of the wave.The amplitude is the maximum displacement of a point on the wave from its rest position. The frequency is the number of cycles of the wave that occur in one second. The rest position is the position of the medium when it is not disturbed.
Hence, wavelength of a transverse wave remains same even as the wave's energy and other properties change.
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The signs of cognitive (mental) stress include all of the following except: a. loss of memory b. loss of concentration c. poor judgment d. isolation please select the best answer from the choices provided. a b c d
All of the above-mentioned symptoms of cognitive stress except for isolation. Option d is correct.
What is cognitive mental stress?Mental (cognitive) stress is an emotional/physical strain that causes a person to feel irritated, depressed, angry, anxious, and so on.
Cognitive stress is marked by a variety of moods and/or emotions linked to excessive anxiety about money, overall health, job loss, and so on.
All of the above-mentioned symptoms are markers of cognitive stress. In some circumstances, this condition may exacerbate stress.
Loss of memory, loss of concentration, and poor judgment are symptoms that are markers of cognitive stress.
Social isolation has been linked to a variety of mental illnesses, including increased stress, despair, and anxiety.
Hence all of the above-mentioned symptoms of cognitive stress except isolation. Option d is correct.
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Answer:
D
Explanation:
Is it possible to apply the same amount of force and do different amounts of work?
Comparison of rarefraction and compression
Answer:
In a longitudinal wave, a compression is a region when the particles are closest together. A rarefaction is an area in a longitudinal wave where the particles are the furthest distant from one another. A compression is a zone where the medium is compressed, while a rarefaction is a region where the medium is spread out.
A cue ball of mass 0.11 kg is moving to the right at a speed of 6 m/s and collides with a 7 ball of mass 0.1 kg, initially at rest. If the 7 ball moves to the right with a speed of 3 m/s after the collision, how fast is the cue ball moving after the collision
A cue ball of mass 0.11 kg is moving to the right at a speed of 6 m/s and collides with a 7 ball of mass 0.1 kg, initially at rest. If the 7 ball moves to the right with a speed of 3 m/s after the collision, after the collision, the cue ball is moving to the right with a speed of approximately 3.27 m/s.
We can use the principle of conservation of momentum. The total momentum before the collision must equal the total momentum after the collision.
Step 1: Calculate the initial momentum of both balls before the collision.
Initial momentum of cue ball = mass x initial speed = 0.11 kg x 6 m/s = 0.66 kg m/s
Initial momentum of 7 ball = mass x initial speed = 0.1 kg x 0 m/s = 0 kg m/s
Total initial momentum = 0.66 kg m/s
Step 2: Calculate the final momentum of the 7 ball after the collision.
Final momentum of 7 ball = mass x final speed = 0.1 kg x 3 m/s = 0.3 kg m/s
Step 3: Determine the final momentum of the cue ball after the collision.
Since the total initial momentum must equal the total final momentum, the final momentum of the cue ball = total initial momentum - final momentum of 7 ball = 0.66 kg m/s - 0.3 kg m/s = 0.36 kg m/s
Step 4: Calculate the final speed of the cue ball after the collision.
Final speed of cue ball = final momentum / mass = 0.36 kg m/s / 0.11 kg ≈ 3.27 m/s
So, after the collision, the cue ball is moving to the right with a speed of approximately 3.27 m/s.
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PLEASE HELP Write the formula associating energy with power.
Write the formula associating potential energy with height.
Answer:
The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.
what is light? group of answer choices a. light is radiant energy in the form of a stream of energy particles, called photons. b. light is radiant energy in the form of a wave of electromagnetic energy.
Light is radiant energy in the form of a wave of electromagnetic energy.
Light is a form of electromagnetic radiation that is visible to the human eye. It is made up of a stream of energy particles, called photons, that travel in a wave-like pattern. It has various properties, including intensity, color, and direction, which can be used to explain its behavior. It can be described as having both a particle-like nature and a wave-like nature. The particle-like nature of light is exhibited in the way it travels in packets of energy, known as photons. The wave-like nature of light is demonstrated by the way it can be bent, diffracted, and refracted.
The intensity of light is determined by the amount of energy that a photon has. The color of light is determined by the wavelength of the light, with different colors having different wavelengths. Direction is also an important property of light, as it determines how light will be bent when it passes through an obstacle or is reflected off of a surface.
Light plays a critical role in the lives of humans and other organisms. It is used in vision, to help organisms understand the world around them. Light also has numerous applications in science and technology, such as in communications, photography, and solar energy.
In conclusion, light is a form of electromagnetic radiation composed of photons that travel in a wave-like pattern. It has various properties, including intensity, color, and direction, that are used to explain its behavior. Light is important for vision and has various uses in science and technology.
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how used the low intensity in the game of vollyball
In the game of volleyball, low intensity is often used during warm-up exercises or cool-down sessions.
These exercises are designed to help players get their bodies warmed up and ready to play, or to help them cool down after a game or practice. There are several low-intensity exercises that are commonly used in volleyball, including stretching, jogging, and light calisthenics.Stretching is a key part of any volleyball warm-up routine. This helps to get the blood flowing to the muscles and prepares them for the more intense exercises that are to follow. Some of the most common stretching exercises include hamstring stretches, quad stretches, and shoulder stretches. These exercises help to improve flexibility and range of motion, which can reduce the risk of injury during the game.Jogging is another common low-intensity exercise that is used in volleyball.
This helps to get the heart rate up and prepare the body for more intense activities. Jogging can also help players to develop endurance and stamina, which can be critical in the later stages of a game or tournament.Light calisthenics, such as jumping jacks, sit-ups, and push-ups, can also be used to warm up or cool down. These exercises are designed to help improve strength and endurance while also promoting flexibility and range of motion. Players can choose from a variety of different exercises to create a customized workout routine that meets their specific needs and goals.Overall, low-intensity exercises are an important part of any volleyball training program. They help to prepare the body for more intense activities while also promoting flexibility, endurance, and strength. By incorporating these exercises into their training routine, volleyball players can improve their overall fitness and performance on the court.
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what is the initial velocity of this graph
Answer:
45
Explanation:
45
What is the acceleration of a 10 kg block that experiences a 50 N applied force as it slides across a
horizontal surface where the coefficient of kinetic friction between it and the surface is 0.10?
4.02 m/sec² is the acceleration of a 10 kg block that experiences a 50 N applied force as it slides across a horizontal surface.
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
force = 50 N - frictional force = ma
50 - 9.8 = ma
a = 40.2/10
a = 4.02 m/sec²
4.02 m/sec² is the acceleration of a 10 kg block that experiences a 50 N applied force as it slides across a horizontal surface.
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What is nodal with voltage source?
A nodal voltage source is a type of voltage source that is connected directly between two nodes in a circuit, rather than being connected in series with a circuit element.
Nodal analysis is a circuit analysis technique that uses Kirchhoff's Current Law (KCL) to determine the voltage at each node in a circuit. When a voltage source is connected between two nodes, it can be included in nodal analysis as a source term in the equation for the corresponding node.
The voltage value of the source is simply included as a known value in the equation. This technique can be used to analyze complex circuits with multiple voltage sources and circuit elements.
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WHAT IS A MAGNETIC FIELDS STRENGTH AND ITS CALCULATIONS
Answer:
The magnetic field strength is H=I/2πr
Explanation:
A current I through a long, straight wire produces a magnetic field with strength H=2πr at distance of r from the wire. So the field strength is inversely proportional to the distance from the wire.
What force must act on a 50.0-kg mass to give it an ancceleration of 0.30 m/s^2?
Pls show your solution
Answer:
15.0 N
Explanation:
see pic
Which is the correct Lewis structure for ethylene, CHA?
H
H
H H
1
CEC
1 1
H
H
C
C:
H
A.
H
B.
H
н
H
1
С
с
C.
С
1
н
H
H
C.
H
D
•HlclH|
H
I-Ö-I
E
ΟΑ. Α A
OB.
B
Ос. с
ODD
ОЕ Е E
Answer:
:c: H* : A: :C: H* :A: :C: H* :A:
"galaxies have no obvious shape. Gas, dust and stars are observed in these galaxies." is called?
This phenomenon is known as the amorphous shape of galaxies. The term for galaxies with no apparent shape, containing gas, dust, and stars, is "irregular galaxies."
Galaxies can take on various forms depending on factors such as their age, environment, and interactions with other galaxies.
Some galaxies may appear irregular or amorphous due to the scattering of stars, gas, and dust within them.
Galaxies can lack a distinct shape and may contain a mix of gas, dust, and stars.
Galaxies are called "irregular galaxies.".
Hence, the term for galaxies with no apparent shape, containing gas, dust, and stars, is "irregular galaxies."
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solar energy and terrestrial reradiation are usually measured in units of length called ________.
Solar energy and terrestrial reradiation are usually measured in units of length called micrometers.
Radiometers are sensors that can be used to measure solar and terrestrial radiation. These sensors detect electromagnetic radiation and convert it into a measurable electrical signal. The energy that the sensor detects can be measured in units of length called micrometers (µm).
One common type of radiometer is a pyranometer, which measures the total amount of incoming solar radiation. Another type of radiometer is a pyrgeometer, which measures the amount of outgoing longwave radiation from the Earth's surface. Both of these sensors measure radiation in units of micrometers.
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A student passed a current of 0.6 A through copper sulfate solution for 300 s
Calculate the charge flow through the solution.
A doctor injects a patient with 13 milligrams of radioactive dye that decays exponentially. After 15 minutes, there are 3.25 milligrams of dye remaining in the patient's system. Write a mathematical model to represent the amount of dye remaining in the patients' body after t minutes.
How to write a mathematical model to represent the amount of dye remaining in the patients' body after t minutes when a doctor injects a patient with 13 milligrams of radioactive dye that decays exponentially. Radioactive decay is a process whereby an unstable nucleus of an atom decays to a more stable state.
In other words, the nucleus of an atom emits particles to form a new element.To write a mathematical model to represent the amount of dye remaining in the patient's body after t minutes, we have to consider the amount of dye remaining in the body after every minute and the time taken for the dye to decay exponentially. According to the problem, the amount of dye remaining in the patient's body after 15 minutes is 3.25 milligrams.Let's assume that the initial amount of dye that the doctor injected is x milligrams.
Therefore, the amount of dye remaining after 1 minute is `x/2` milligrams, where the half-life is 1 minute (since the dye decays exponentially).The amount of dye remaining after 2 minutes is `(x/2)/2 = x/4` milligrams.The amount of dye remaining after 3 minutes is `((x/2)/2)/2 = x/8` milligrams.In general, the amount of dye remaining after t minutes is given by:$$y = x(1/2)^{t/1}$$Where:y = amount of dye remaining after t minutes x = initial amount of dyet/1 = time taken for the dye to decay exponentially Therefore, we can write the mathematical model as follows:y = 13(1/2)^(t/1)The amount of dye remaining in the patient's body after t minutes is represented by the function y = 13(1/2)^(t/1).
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What energy transformation occurs when a coil of wire moves past a magnet? plz help :(
kinetic --> electric
electric --> kinetic
magnetic --> electric
kinetic --> potential
Answer:
kinetic energy to electrical energy.
Calculate the capacitance of an MOS capacitor with an oxide thickness T ox
of (a) 50 nm, (b) 25 nm, (c) 10 nm, and (d) 5 nm. TA B L E 4.6 MOS Transistor Parameters NMOS DEVICE PMOS DEVICE
V _TO +0.75 V −0.75 V
γ 0.75 rootV 0.5 rootV 2ϕ 0.6 V 0.6 V
K 100μA/V^2 40μA/V ^2
To calculate the capacitance of an MOS (Metal-Oxide-Semiconductor) capacitor, we can use the formula:
C = ε₀ * εᵣ / Tᵣ
Where:
C is the capacitance,
ε₀ is the permittivity of free space (8.854 x 10⁻¹² F/m),
εᵣ is the relative permittivity (dielectric constant) of the oxide material,
Tᵣ is the thickness of the oxide layer.
Given the oxide thicknesses Tₒₓ in the question, we can calculate the capacitance for each case.
(a) For Tₒₓ = 50 nm:
C = (8.854 x 10⁻¹² F/m) * εᵣ / (50 x 10⁻⁹ m)
(b) For Tₒₓ = 25 nm:
C = (8.854 x 10⁻¹² F/m) * εᵣ / (25 x 10⁻⁹ m)
(c) For Tₒₓ = 10 nm:
C = (8.854 x 10⁻¹² F/m) * εᵣ / (10 x 10⁻⁹ m)
(d) For Tₒₓ = 5 nm:
C = (8.854 x 10⁻¹² F/m) * εᵣ / (5 x 10⁻⁹ m)
To calculate the capacitance accurately, we need to know the relative permittivity (dielectric constant) of the oxide material used in the MOS capacitor. Once you provide the value of εᵣ, we can substitute it into the above formulas to find the respective capacitance values for each oxide thickness.
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A mass-spring system oscillates with an amplitude of 2.7 cm. If the force constant of the spring of 276 N/m and the mass is 0.77 kg, what is the magnitude of the maximum acceleration of the mass in m/s2
The magnitude of the maximum acceleration of the mass is 5.61 m/s²
The maximum acceleration of the mass in an oscillating mass-spring system is given by:
amax = ω² * A
where ω is the angular frequency of the oscillation, given by ω = sqrt(k/m), where k is the force constant of the spring and m is the mass of the object, and A is the amplitude of the oscillation.
Substituting the given values, we get:
ω = sqrt(k/m) = sqrt(276 N/m / 0.77 kg) = 13.85 rad/s
A = 2.7 cm = 0.027 m
amax = ω² * A = (13.85 rad/s)^2 * 0.027 m = 5.61 m/s²
Therefore, the magnitude of the maximum acceleration of the mass is 5.61 m/s²
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what produces magnetic fields
Answer:
B is the answer
Explanation:
Magnetic fields are produced by moving electric charges and the intrinsic magnetic moments of elementary particles associated with a fundamental quantum property, their spin.
A car is traveling over a hill that has a radius of curvature of. The car is slowing down as it goes over the hill. It slows down at a constant rate from a speed of to a speed of over a distance of ending at the top of the hill. The net acceleration of the car at the top of the hill is most nearly.
The acceleration of the car at the top of the hill is 6.6 m/s²
acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting.
The third kinematic equation is applied to determine the car's tangential acceleration, as illustrated below: v2 = u2 + 2as, where a represents the vehicle's acceleration.
2x50 a = -5.25 m/s²;
2as = v² - u² a
= v²-u² / 2s
a = 102 - 252
At the summit of the hill, the car's centripetal acceleration is given as ac=v²/r
ac=10²/25
ac=4 m/s2.
At the summit of the hill, the car's net acceleration is computed as follows: a net = a2 + ac
a net = (-5.25)2 + 42
a net = 6.6 m/s2.
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Complete Question -
A 1600 kg car is traveling over a hill that has a radius of curvature of 25 m. The car is slowing down as it goes over the hill. It slows down at a constant rate from a speed of 25 m/s to a speed of 10 m/s over a distance of 50 m ending at the top of the hill. The net acceleration of the car at the top of the hill is most nearly
A race car makes one lap around a track of radius 180 m in 90.0 s. What is the centripetal acceleration in m/s2?
a
0.5
12.6
Ob
OC
Od
.87
2.
2
Answer:
0.9m/s^2 (yours is 0.87, so choose that)
Explanation:
formula for centripetal acceleration:
v^2/r
to find v, we know that f=1/90s, and r=180m.
v=(2pir)/T
v=(2pi(180))/90
v=12.6m/s
now plug into a=v^2/r
a=(12.6)^2/180
a=0.9m/s^2