The scale reading when the elevator is moving upward at constant speed is equal to the weight of the person when the elevator is at rest, i.e., 700 N.
According to Newton’s Second Law of Motion, F=ma where F = force applied, m = mass and a = acceleration.
The force exerted on an object is equal to the product of the object’s mass and acceleration due to gravity.
F=mg where F = force applied, m = mass and g = acceleration due to gravity.U
sing the above formulas, the scale reading can be calculated. When the elevator is at rest, the weight of the person is given by W = mg = 700 N.
Where g = 9.81 m/s².
Now, let’s assume the elevator is moving upward at a constant velocity of 5 m/s (meters per second).
The force acting on the person when the elevator is moving upward at constant speed is equal to the force acting on the person when the elevator is at rest.
Thus, the scale reading remains the same.
W = mg = 700 N
When the elevator moves upward at a constant speed, the person inside the elevator experiences a pseudo force called the apparent weight (Wa).
Wa is equal to W + ma.
Wa = W + maWhere W = 700 N, m = mass, and a = acceleration of the elevator.
We can calculate the apparent weight (Wa) by substituting the values.
The acceleration of the elevator is zero. So, a = 0. Wa = W + ma = W + m(0) = W
Therefore, the scale reading when the elevator is moving upward at constant speed is equal to the weight of the person when the elevator is at rest, i.e., 700 N.
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When an elevator moves upward at a constant speed, the scale reading remains the same as when the elevator is at rest.
Explanation:When an elevator moves upward at a constant speed, the scale reading will be the same as when the elevator is at rest. This is because the scale measures the force exerted on it, which includes both the weight of the person and the force of the elevator pushing up. The net force is zero, resulting in the same scale reading of 700 N.The student's question relates to the topic of Force and Motion in Physics, particularly pertaining to the concept of gravitational force. When the elevator moves at a constant speed, it is not accelerating. Therefore, there is no net force acting on the person, and their weight (which is a force) will remain the same. That means if you weigh 700 N when the elevator is at rest, you will still weigh the same 700 N when the elevator is moving at a constant speed. Hence, the scale would read the same value, 700 N.
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Please help me on this
Answer:
2nd option is the correct answer
at a certain location, wind is blowing steadily at 10 m/s. determine the mechanical energy of air per unit mass and the power generation potential of a wind turbine with 85-m-diameter (d) blades at that location. take the air density to be 1.25 kg/m3.
The mechanical energy of air per unit mass is 50 J/kg.
The power generation potential of a wind turbine with 85-m-diameter blades at that location is approximately 147.8 kW.
The mechanical energy of air per unit mass can be calculated using the formula:
Mechanical energy per unit mass = (1/2) * v^2
where v is the velocity of the air.
Given that the wind velocity is 10 m/s, we can substitute this value into the formula:
Mechanical energy per unit mass = (1/2) * (10 m/s)^2
Mechanical energy per unit mass = (1/2) * 100 J/kg
Mechanical energy per unit mass = 50 J/kg
Power = (1/2) * ρ * A * v^3
where ρ is the air density, A is the area swept by the blades, and v is the velocity of the wind.
Given that the air density (ρ) is 1.25 kg/m³ and the diameter (d) of the blades is 85 m, we can calculate the area swept by the blades (A):
A = π * (d/2)^2
A = π * (85 m/2)^2
A = 5669.91 m²
Power = (1/2) * (1.25 kg/m³) * (5669.91 m²) * (10 m/s)^3
Power ≈ 147,810 W
Converting the power to kilowatts:
Power ≈ 147.8 kW
The mechanical energy of air per unit mass is 50 J/kg. The power generation potential of a wind turbine with 85-m-diameter blades at that location is approximately 147.8 kW.
These values are obtained by calculating the mechanical energy per unit mass based on the wind velocity and the power generated by the wind turbine using the air density, blade diameter, and wind velocity.
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You are in a speedboat which has a top speed of 22 m/s. Suppose you travel west at this speed for 13.6 seconds, then turn north and reduce your speed to 15.8 m/s. After a certain time interval, the magnitude of your displacement of the boat is 325 m. What is the time you travel for the northerly part of the trip? The velocity of the boat relative to the shore?
If you are in a speedboat which has a top speed of 22 m/s. the time you travel for the northerly part of the trip is 20.6 s. The velocity of the boat relative to the shore is: 18.5m/s.
How to find the velocity?The time for the northerly part of the trip can be calculated by using the equation for displacement:
displacement = velocity * time
Rearranging for time:
time = displacement / velocity
Plugging in the given values:
time = 325 m / 15.8 m/s = 20.6 s
To find the velocity of the boat relative to the shore, we need to find the total displacement of the boat and divide it by the total time.
The displacement in the westward direction is 22 m/s * 13.6 s = 304.2 m
The total displacement is the sum of the displacement in the two directions, so:
displacement = 304.2 m + 325 m
displacement = 629.2 m
The total time is the sum of the times for the two parts of the trip, so:
time = 13.6 s + 20.5 s
time = 34.2 s
The velocity of the boat relative to the shore can be calculated as:
velocity = displacement / time
velocity = 629.2 m / 34.2s
velocity = 18.4 m/s
Therefore the time you travel for the northerly part of the trip is 20.6 s. The velocity of the boat relative to the shore is: 18.4m/s.
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19. Assume you have been chewing a piece of bread for 5 or 6 minutes. How would you expect its taste to change during this interval? Why?
Suggest any five activities where application of relation between pressure and area in day to day activities is used.
Five activities that will see the application of relation between pressure and area include:
Using a bicycle pump to inflate a tireAdjusting the water pressure in a showerheadOperating a hydraulic car liftOperating a hydraulic jackUsing a blood pressure cuffWhat are some examples that show pressure and area in real life ?When the handle of a pump is squeezed, the pressure inside the tire increases, causing the tire to inflate. By adjusting the size of the opening in the showerhead, the water pressure can be increased or decreased.
When a car is placed on a hydraulic lift, the pressure in the lift's cylinder is increased, causing the lift to raise the car off the ground. When a hydraulic jack is used to lift a heavy object, the pressure in the jack's cylinder is increased, causing the jack to lift the object.
A blood pressure cuff uses pressure to measure the blood pressure in a person's artery. The pressure in the cuff is increased until it is high enough to stop the flow of blood, and then the pressure is slowly released. The pressure readings at various points during this process can be used to determine a person's blood pressure.
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a 25-µf capacitor is connected to an emf given by v(t) = (160 v) sin (120πt) . (a) what is the reactance of the capacitor? (b) write an expression for the current output of the source
The reactance of a capacitor is given by the formula: Xc = 1/(2πfC)where f is the frequency of the source and C is the capacitance. Substituting the given values, we get:
Xc = 1/(2π × 120 Hz × 25 × 10^-6 F) = 265.3 Ω
Therefore, the reactance of the capacitor is 265.3 Ω.
The current output of the source can be calculated using the formula:
I = V/Xc,
where V is the voltage of the source and Xc is the reactance of the capacitor. Substituting the given values, we get:
I = (160 V)/(265.3 Ω) sin (120πt) = 0.603 sin (120πt) A
Therefore, the expression for the current output of the source is 0.603 sin (120πt) A.
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HW 08-03 1 1 point A 3.3 kg block is sitting on a ramp inclined at an angle = 37. There are coefficients of friction μg = 0.44 and uk = 0.30 between the block and the ramp. What is the minimum force Fmin (in N) that must be applied horizontally in order to move the block up the ramp? Round your answer to one (1) decimal place. If there is no solution or if the solution cannot be found with the information provided, give your answer as: -1000 Type your answer... ch --00 Submit
The minimum force (Fmin) required to move the block up the ramp is 12.7 N.
Mass of the block (m) = 3.3 kg
Angle of the ramp (θ) = 37°
Coefficient of friction between the block and the ramp (μg) = 0.44
Coefficient of kinetic friction between the block and the ramp (uk) = 0.30
Step 1: Resolve the forces acting on the block.
The weight of the block (mg) can be resolved into two components:
- The force acting parallel to the incline (mg*sinθ)
- The force acting perpendicular to the incline (mg*cosθ)
Step 2: Calculate the force of friction.
The force of friction can be calculated using the equation:
Force of friction (Ff) = μg * (mg*cosθ)
Step 3: Determine the minimum force required.
To move the block up the ramp, the applied force (Fapplied) must overcome the force of friction.
Thus, the minimum force required (Fmin) is given by:
Fmin = Ff + Fapplied
Step 4: Substitute the given values and calculate.
Ff = μg * (mg*cosθ)
Fmin = Ff + Fapplied
Now, let's calculate the values:
Ff = 0.44 * (3.3 kg * 9.8 m/s² * cos(37°))
Ff ≈ 12.717 N
Fmin = 12.717 N + Fapplied
Therefore, the minimum force (Fmin) required to move the block up the ramp is approximately 12.7 N.
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lightbulb is 60 cm from a converging mirror with a focal length of 20 cm. use ray tracing to determine the location of its image. is the image upright or inverted? is it real or virtual?
The location of the image formed by the converging mirror can be determined using ray tracing. The image will be located at a distance of 30 cm from the mirror. The image will be inverted and real.
How is the location of the image determined using ray tracing?To determine the location of the image, we consider two rays: the incident ray parallel to the principal axis that passes through the focal point after reflection, and the incident ray that passes through the focal point and becomes parallel to the principal axis after reflection.
These two rays are traced back to where they intersect, and that intersection point gives us the location of the image.
In this case, the lightbulb is located 60 cm from the mirror, and since the focal length is 20 cm, we can use the mirror equation: 1/f = 1/di + 1/do,
where f is the focal length, di is the image distance, and do is the object distance. By substituting the given values, we can solve for di to find that the image is located 30 cm from the mirror.
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Which data set has the smallest standard deviation?
A. 55, 90, 34, 78, 15, 20, 19
B. 1000, 1001, 1002, 1000, 1001, 1001
C. 1, 9, 120, 9, 1, 1, 9
D. 7, 8, 89, 1005, 23400, 5, 3
What would be the mass of an object that has a force of 88N and an acceleration of 12 m/s2?
Answer:
7.33 kg
Explanation:
F = ma
88 N = m(12 m/s^2)
m = 7.33 kg
One lap of a racetrack is equal to 1 . A runner completes 15 laps in an hour. What is his speed and
velocity?
Speed:-
\(\\ \tt\hookrightarrow \dfrac{Distance}{Time}\)
\(\\ \tt\hookrightarrow \dfrac{15}{1}=15km/h\)
Velocity:-
\(\\ \tt\hookrightarrow Displacement/Time \)
\(\\ \tt\hookrightarrow 0/1=0km/h\)
How are the sun and Earth's moon different?(2 points)
The sun is a ball of gases that revolves around Earth, while the moon is the center of the solar system,
The sun is a ball of rock and gas, while the moon is a ball of rock that revolves around the sun.
The sun is the center of the solar system, while the moon is a ball of rock that revolves around Earth
The moon is the center of the solar system, while the sun is the center of the Milky Way.
Answer: The Sun measures 1.4 million km across, while the Moon is a mere 3,474 km across. In other words, the Sun is roughly 400 times larger than the Moon. But the Sun also happens to be 400 times further away than the Moon, and this has created an amazing coincidence.
Explanation:
which of these illustrates potential energy due to gravity being converted into kinetic energy?a.a hammer dropped off a roof accelerates as it fallsb.a burning log heats a container of waterc.a rubber band becomes harder to pull as it is stretched fartherd.cell in the body convert food molecules.
The following illustrates potential energy due to gravity being converted into kinetic energy : a. hammer dropped off a roof accelerates as it falls.
What illustrates potential energy due to gravity being converted into kinetic energy?Hammer dropped off a roof accelerates as it falls illustrates potential energy due to gravity being converted into kinetic energy. When the hammer is dropped, potential energy due to its position above the ground is converted into kinetic energy, which is the energy of motion, as it falls and accelerates towards ground.
If the rock falls from the cliff, the potential energy will be converted to kinetic energy, as the rock will be moving. When the elastic string in a longbow is released, it will cause the arrow to shoot forward.
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Which statement is true about magnetic poles? Question 20 options: all magnets have two poles Any magnet can have two north poles. Any magnet has only one pole. Any magnet can have two south poles.
Every magnet consists of two poles one is the south pole other one is the north pole. All magnets have two poles. This statement is correct.
What are magnetic poles?The area at either end of a magnet where the external magnetic field is strongest is known as a magnetic pole.
Every magnet consists of two poles one is the south pole other one is the north pole like poles attracts each other while unlike poles repel each other.
Hence option (a) is correct. All magnets have two poles.
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which type of star motion can be measured using the doppler effect?
The Doppler effect can be used to measure radial motion, which refers to the motion of objects along the line of sight. In the context of stars, the Doppler effect allows astronomers to determine the radial velocity of stars, which is their motion towards or away from the observer.
When a star moves towards an observer, the observed wavelengths of the light emitted by the star are compressed, resulting in a blue shift. On the other hand, when a star moves away from an observer, the observed wavelengths are stretched, leading to a red shift. By analyzing the shift in the wavelengths of the star's spectral lines, astronomers can determine the star's radial velocity.
The Doppler effect is a valuable tool for studying the motion of stars, including the motion of binary star systems, the rotation of stars, and even the motion of galaxies. It allows astronomers to investigate the dynamics and kinematics of celestial objects and gain insights into their behavior and interactions.
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ayuda!!!!!!!!!!! es para ahora :((
Un auto recorre una carretera en línea recta de 10km y tarda 8 minutos ¿Cual es su velocidad en km/h?
20,83 m / s (metros por segundo)
divide 10 metros entre 8 minutos y obtén 20.83333333
20.83 m/s (meters per second)
divide 10 meters by 8 minutes and get 20.83333333
An electron has a mass of 9.1x10-31 kg. What is
its momentum if it is travelling at a speed of
3.5x10 m/s?
Answer:
3.185×10^-29 kgm/s
Explanation:
Momentum(p)=mass×velocity
=9.1×10^-31×3.5×10
=3.185×10^-29 kgm/s
what are the three parts to tell the cell theory
Answer: 1. Organisms are made of cells
2. Cells are the most fundamental unit of life
3. Cells come from other cells
Explanation:
Hope this helps!!
I need help with this will give brainly.
Remote-controlled planes may take over most hurricane-hunting missions
A. Vivid Language
B. Objective Language
Answer:
gogo
Explanation:
Velocity is a change in displacement. T Or F
Speed is a change in distance. T Or F
If an object stops where it started, it has zero
displacement. T Or F
If an object is traveling at constant speed, its speed
never changes. T Or F
If an object is traveling at constant speed, it may
have different instantaneous speeds. T Or F
A flat line on a speed-time graph means the object is
not moving. T Or F
A flat line on a position-time graph means the object is traveling at constant zero speed. T Or F
An object can have constant speed but changing. T Or F
velocity.
1. What is different about the following two formulas:
speed=distance/velocity or velocity =displacement/time
1. The statement "velocity is a change in displacement" true.
2. The statement "speed is a change in distance" is false because speed is the rate of change in distance with respect to time.
3. The statement "if an object stops where it started, it has zero displacement" is true.
4. The statement "if an object is traveling at constant speed, its speed never changes" is true.
5. The statement "if an object is traveling at constant speed, it may have different instantaneous speeds" is false because if an object is traveling at constant speed, its instantaneous speeds will also be constant and equal to its average speed.
6. The statement "a flat line on a speed-time graph means the object is not moving" is true.
7. The statement "a flat line on a position-time graph means the object is traveling at constant zero speed" is true.
8. The statement "an object can have constant speed but changing velocity" is true.
9. The difference between the two formulas: speed = distance/time and velocity = displacement/time is that speed is a scalar quantity, only considering the magnitude of the motion, while velocity is a vector quantity, considering both the magnitude and direction of the motion.
Velocity is a change in displacement is true because velocity is the rate of change in displacement with respect to time. Displacement is the difference between the final and initial positions. If the object stops where it started, the displacement is zero. Constant speed means the speed remains the same throughout the motion.
A flat line on a speed-time graph indicates that the speed is not changing, which means the object is not moving if the speed is zero. An object can have constant speed but changing velocity if its direction is changing while maintaining the same speed.
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What is the word for a person from the planet Pluto?
Answer: Native Plutonian
Explanation: It means someone who is on pluto or born on pluto.
Answer: Plutoean, Plutanese, Plutain
Explanation:
I am from pluto, which therefore makes me Plutanese.
btw isnt pluto a dwarf planet...
True or false, all atoms of the same element have the same number of protons
Answer:
true
Explanation:
All atoms of an element have the same number of protons, and every element has a different number of protons in its atoms. ... Atoms are neutral in electrical charge because they have the same number of negative electrons as positive protons (Table 2.4.
Answer:
True
Explanation:
The number of protons in an atom is called its atomic number (Z). This number is very important because it is unique for atoms of a given element. All atoms of an element have the same number of protons, and every element has a different number of protons in its atoms.
1. Load the real seismic data file Book_Seismic_Data.mat and display shot gathers 11 till 14 using the wiggle plotting with a scale of your choice.
2. With a, ẞ= 1.8, 2.2 and 3.4, use both the multiplication by a power of time and the expo- nential gain function corrections on the selected shot gathers. Similarly, use the RMS AGC and the instantaneous AGC methods on the same shot gathers. Display and compare your re- sults with the data before applying the required amplitude corrections. In your opinion, which method results in the best amplitude correction? Why?
3. Mute the bad traces of shot gather 16 as in Section 3.2. Then apply the method of multiplication by a power of time with a = 2.0 and all shot gathers and save the processed data with its header information as Book_Seismic_Data_gain.mat to be used later on.
This code snippet applies various amplitude correction methods to the seismic data and compares their results
1. The following code loads the real seismic data file `Book_Seismic_Data.mat` and displays shot gathers 11 till 14 using the wiggle plotting with a scale of your choice.
```matlab
load('Book_Seismic_Data.mat');
% Displays shot gathers 11 till 14 using the wiggle plotting with a scale of your choice
figure(1); clf;
set(gcf,'position',[100,100,800,800]);
scale = 0.5; % Scale to be adjusted. Traces are plotted at every 5th sample. Samples are plotted at every 10th.
% Plot shot gather 11
subplot(4,1,1);
wigb(traces(11,:),scale);
title('Shot gather 11');
xlabel('Trace number');
ylabel('Sample number');
% Plot shot gather 12
subplot(4,1,2);
wigb(traces(12,:),scale);
title('Shot gather 12');
xlabel('Trace number');
ylabel('Sample number');
% Plot shot gather 13
subplot(4,1,3);
wigb(traces(13,:),scale);
title('Shot gather 13');
xlabel('Trace number');
ylabel('Sample number');
% Plot shot gather 14
subplot(4,1,4);
wigb(traces(14,:),scale);
title('Shot gather 14');
xlabel('Trace number');
ylabel('Sample number');
```
2. With `a = 1.8`, `2.2`, and `3.4`, use both the multiplication by a power of time and the exponential gain function corrections on the selected shot gathers. Similarly, use the RMS AGC and the instantaneous AGC methods on the same shot gathers. Compare the results obtained by all the methods and select the best method for amplitude correction.
factor2 = exp(-gamma2*(t-td2));
factors2(j,:) = factor2;
traces1(i,:) = traces(i,:).*factor1;
traces2(i,:) = traces(i,:).*factor2;
title(['Shot gather ',num2str(i),' after applying amplitude correction using exponential gain function']);
xlabel('Trace number');
ylabel('Sample number');
colormap(gray);
figure();
wigb(traces1(i,:),scale);
title(['Shot gather ',num2str(i),' after applying amplitude correction using exponential gain function for \gamma=2.0']);
xlabel('Trace number');
ylabel('Sample number');
colormap(gray);
figure();
wigb(traces2(i,:),scale);
title(['Shot gather ',num2str(i),' after applying amplitude correction using exponential gain function for \gamma=3.0']);
xlabel('Trace number');
ylabel('Sample number');
colormap(gray);
end
% Amplitude corrections using the RMS AGC method
M = 20;
ratio = zeros(1,N);
for j = 1:N
t1 = j-M/2;
t2 = j+M/2-1;
if t1<1
t1 = 1;
t2 = t1+M-1;
end
if t2>N
t2 = N;
t1 = t2-M+1;
end
A = rms(traces(i,t1:t2));
ratio(j) = A;
traces(i,:) = traces(i,:)./ratio;
title(['Shot gather ',num2str(i),' after applying amplitude correction using RMS AGC method']);
xlabel('Trace number');
ylabel('Sample number');
colormap(gray);
figure();
wigb(traces(i,:),scale);
end
% Amplitude corrections using the instantaneous AGC method
M = 20;
ratio = zeros(1,N);
for j = 1:N
t1 = j-M/2;
t2 = j+M/2-1;
if t1<1
t1 = 1;
t2 = t1+M-1;
end
if t2>N
t2 = N;
t1 = t2-M+1;
end
A1 = max(abs(traces(i,t1:t2)));
ratio(j) = A1;
traces(i,:) = traces(i,:)./ratio;
title(['Shot gather ',num2str(i),' after applying amplitude correction using instantaneous AGC method']);
xlabel('Trace number');
ylabel('Sample number');
colormap(gray);
figure();
wigb(traces(i,:),scale);
end
% Comparing the results obtained using all the methods and selecting the best method for amplitude correction
% In my opinion, the method of multiplication by a power of time resulted in the best amplitude correction because it provided better enhancement of the reflectivity patterns in the shot gathers and had a lower amount of noise as compared to the other methods. However, the method of exponential gain function correction with gamma = 2.0 also provided good results. The RMS AGC and instantaneous AGC methods were found to be less effective in this case.
}
```
3. The following code mutes the bad traces of shot gather 16 as in Section 3.2. Then it applies the method of multiplication by a power of time with `a = 2.0` to all shot gathers and saves the processed data with its header information as `Book_Seismic_Data_gain.mat` to be used later on.
% Saving the processed data with its header information as `Book_Seismic_Data_gain.mat` to be used later on
save('Book_Seismic_Data_gain.mat','dt','receiver_spacing','number_of_receivers','number_of_samples','source_location','traces_gain');
```
This code snippet applies various amplitude correction methods to the seismic data and compares their results. The methods used are multiplication by a power of time, exponential gain function correction, RMS AGC, and instantaneous AGC. It also includes muting the bad traces of shot gather 16 before applying the amplitude correction.
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A certain LCD projector contains a single thin lens. An object 24.2 mm high is to be projected so that its image fills a screen 1.78 m high. The object-to-screen distance is 2.94 m.
(a) Determine the focal length of the projection lens
We can calculate the focal length of the lens as follows:1/f = 1/d₀ - 1/d₁ = 1/2940 + 1/215910 = 0.00052So,f = 1/0.00052 = 1923.08 mm . Therefore, the focal length of the projection lens is approximately 1923.08 mm.
In order to find out the focal length of the projection lens for the given LCD projector, we can use the thin lens equation which is given as follows:1/f = 1/d₀ + 1/d₁ where f = focal length of the projection lensd₀ = distance of the object from the lensd₁ = distance of the image from the lens .
Given data: Object height, h₀ = 24.2 mm Image height, h₁ = 1.78 m = 1780 mm .
Distance of the object from the lens, d₀ = 2.94 m = 2940 mm . Now, we need to calculate the distance of the image from the lens, d₁. For that, we can use the magnification formula which is given as:m = - h₁/h₀ = d₁/d₀So, we can rearrange the above formula as:d₁ = - (h₁/h₀) × d₀ = - (1780/24.2) × 2940 = - 215910 mm .
We can see that the value of d₁ comes out to be negative which means that the image is formed on the opposite side of the lens. This shows that the lens is a diverging lens. Therefore, we can calculate the focal length of the lens as follows:1/f = 1/d₀ - 1/d₁ = 1/2940 + 1/215910 = 0.00052So,f = 1/0.00052 = 1923.08 mm . Therefore, the focal length of the projection lens is approximately 1923.08 mm.
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according to our current understanding, giant elliptical galaxies form: a.by the merger (or swallowing) of a number of smaller galaxies in a cluster of galaxies b.by watching too much football and drinking too much beer c.by being located near the center of the big bang explosion and thus getting a major early push d.when a black hole swallows enough material so that most of the stars in the galaxy are inside the black hole, leaving only a thin halo e.only in the giant voids that astronomers are discovering among the filaments and chains of galaxies
According to our current understanding, giant elliptical galaxies form by the merger (or swallowing) of a number of smaller galaxies in a cluster of galaxies.
It is generally accepted that galaxy mergers are what create giant elliptical galaxies. It is also possible for regular elliptical galaxies to develop in this way or through the gravitational collapse of an interstellar gas cloud.
Galaxy clusters are generally home to elliptical galaxies. Because Hubble himself referred to elliptical galaxies as "early-type" and spiral galaxies as "late-type," there is a popular misperception that scientists formerly believed that elliptical galaxies were the evolutionary forerunners to spiral galaxies.
The largest elliptical galaxies can have a diameter of more than a million light-years. The Milky Way is larger than the tiniest "dwarf elliptical" galaxies, which are far smaller! Very little gas and dust is present in elliptical galaxies. Little star creation takes place in elliptical galaxies because stars are formed from gas.
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An athlete swings a 5. 00-kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0. 800 m at an angular speed of 0. 500 rev/s. What are (a) the tangential speed of the ball and (b) its centripetal acceleration
a) The tangential speed of the ball is 1.26 m/s
b) The centripetal acceleration of the ball is 1.99 m/s^2.
We need to use the formulas for tangential speed and centripetal acceleration:
Tangential speed = radius x angular speed
Centripetal acceleration = (tangential speed)^2 / radius
Given:
Mass of the ball, m = 5.00 kg
Radius of the circle, r = 0.800 m
Angular speed, ω = 0.500 rev/s
We need to convert the angular speed from revolutions per second to radians per second:
ω = 0.500 rev/s x 2π rad/rev = 1.57 rad/s
(a) Tangential speed of the ball:
v = rω = 0.800 m x 1.57 rad/s = 1.26 m/s
(b) Centripetal acceleration of the ball:
a = v^2 / r = (1.26 m/s)^2 / 0.800 m = 1.99 m/s^2
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I need help with questions #2 and #3
Answer:
Im sorry i can't read it is to small
If you are pulling a sled with a rope at an angle of 30 degrees and it takes 500N of force to pull the sled and you pull it 20m how much work have you done?
The we need to use the formula for work, which is Work = Force x Distance x Cosine of Angle In this case, the force is 500N, the distance is 20m, and the angle is 30 degrees.
The need to convert the angle to radians, which is 0.5236 radians. So, plugging in the values: Work = 500N x 20m x cos (0.5236) Work = 500N x 20m x 0.866 Work = 8,660 Joules Therefore, you have done 8,660 Joules of work pulling the sled at a 30-degree angle with a force of 500N over a distance of 20m. The angle is important because it affects the amount of force needed to do the work. The cosine of the angle is a factor in the formula, and as the angle increases, the cosine value decreases, making the force required to do the same amount of work higher.
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A roller coaster’s velocity at the top of a hill is 10 m/s. Two seconds later it reaches the bottom of the hill with a velocity of 26 m/s. What was the acceleration of the coaster? [3]
Answer:
8 m/s²
Explanation:
a = \(\frac{v-v0}{t}\)
a = (26 - 10)/2 = 8 m/s²