The ratio of the mass of the objects which are hung in the vertical spring is 9
The frequency of the spring with mass m₁ = 12 Hz
The frequency of the spring with the mass m₂ = 4 Hz
The ratio of the mass can be found using the formula,
[tex]\displaystyle f = \frac{1}{2 \pi} \sqrt{\frac{k}{m} }[/tex]
where f is the frequency of the spring
k is the spring constant
m is the mass
Then, the ratio of masses is
m₂ / m₁ = f₁² / f₂²
Let us substitute the known values in the above equation, we get
m₂/m₁ = 12² / 4²
= 144 / 16
= 9
Therefore, the ratio of mass is 9
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if equal numbers of suspension clamps are on each side of the support, can their weights be omitted from the calculations? explain
Yes, the weight of the suspension clamps is omitted from the calculation as long as each side of the support is the same.
Suspension clamps are mainly used for overhead power lines or substations. It can hang wire, lightning protection wire on insulator string, or lightning protection cable on the tower by connecting fittings. Suspension clamps are mainly made of malleable iron and aluminum alloy.
Given the same number of clamps on both sides of the support, when we calculate the torque, the weight of the clamps will disappear from each side.
Like there are 2 clamps on each side so the torque due to the clamps are going to be
τ = r x F = 2 * W * d - 2 * W * d
So that the weight of the clamps can be omitted as in the final calculation of the torque as each clamp will cancel out. Provided that the position of the clamps on both sides of the support is the same (i.e., distance d from the support)
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How do you find wavelength with frequency and length of a string?
The wavelength of a wave traveling along a string can be calculated using the following formula:
What is wavelength?
Wavelength is the distance between two consecutive points of the same phase on a wave. It is the distance traveled by a wave in one period (the time it takes for the wave to complete one cycle). The wavelength is usually denoted by the Greek letter lambda (λ).
wavelength = speed of wave / frequency
The speed of a wave traveling along a string is equal to the square root of the tension in the string divided by the mass per unit length of the string. If you know the tension in the string and the mass per unit length of the string, you can use the following formula to calculate the speed of the wave:
speed of wave = sqrt(tension / (mass per unit length))
Once you have the speed of the wave, you can use the formula above to calculate the wavelength.
Alternatively, if you know the length of the string and the frequency of the wave, you can use the following formula to calculate the wavelength:
wavelength = length of string / number of waves
In this case, the number of waves is equal to the frequency of the wave multiplied by the time it takes for one wave to pass a fixed point.
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Speed is distance over time, so v = λ / T. The frequency, f, is 1/T, so the equation relating wave speed, frequency, and wavelength is v = f λ . where µ = m / L is the string's mass per unit length.
What is wavelength?
Wavelength is the distance between two consecutive points of the same phase on a wave. It is the distance the wave travels in one period (the time it takes for the wave to complete one cycle). Wavelength is usually denoted by Greek letter lambda (λ).wavelength = wave speed / frequencyThe speed of a wave traveling along a string is equal to the square root of the tension in the string divided by the mass per unit length of the string.To know more about wavelength, click the link given below:
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What was the original purpose of sonar?
Leonardo da Vinci utilised a tube introduced into the water to listen for vessels in order to employ the technology for the first time, in 1490.
What was employed before to sonar?
To combat the rising threat of submarine warfare, it was developed during World War I, and by 1918, a functioning passive sonar system was in use.
An overview of sonar technology. Measuring depth is a key component of seafloor mapping. Prior to the First World War, lead lining was typically used to gauge ocean depth. This required lowering a piece of lead—typically a cannonball—to the ocean floor on a very long piano wire.
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Which of the following planets or moons has an atmosphere consisting mainly of Hydrogen and Helium with some methane?
A) Venus
B) Saturn
C) Titan
D) Uranus
Saturn is the following planet or moon, and its atmosphere is primarily made of hydrogen with a small amount of methane.
The correct answer is B
What makes Saturn the best planet?The planet Saturn is incredibly large and its rings make it incredibly gorgeous. Amazing moons as Titan reside there as well. The Solar System's Saturn is arguably the most popular and stunning planet. Compared to the rings of other planets, Saturn's are much larger and easier to see.
Where could we possibly live?Then, only a year ago, researchers found a second Earth-like planet around Proxima Centauri, one of our nearest nearby stars. The best option we now have for maintaining human life is this planet.
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Messi shoots a shot on goal with a speed of 200m/s.
A. What is its kinetic energy if the ball has a mass of 0.7kg?
B. How does its kinetic energy change if the speed is 180m/s
The kinetic energy of the ball when it has a mass of 0.7 kg is 14000J.
When the speed is 180 m/s its K.E. changes to 11340 J.
Calculate the kinetic energy of the following options?
A. Kinetic energy E = 1/2 [tex]mv^{2}[/tex]
mass (m) = 0.7 kg
speed (v) = 200 m/s
K.E = 1/2 (0.7) (200)^2
K.E = 1/2 (28000)
K.E = 14,000J
K.E = 14 x 10^3 J
The kinetic energy of the ball has a mass of 0.7 kg is 14 x [tex]10^{3}[/tex] J
B. The kinetic energy is directly proportional to the square of the speed or velocity. When the speed increases its kinetic energy also increases. When the speed decreases also its kinetic energy is decreases.
K.E. = 1/2 [tex]mv^{2}[/tex]
K.E. = 1/2 (0.7) (180)^2
K.E. = 11,340 J
So, the speed of the kinetic energy is decreased, the value of K.E. is also decreased.
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Which of the following is the minimum amount of work done by a hydraulic lift to raise a 150-kg aluminum block 2.0 m vertically?
a. 300 J
b. 2940 J
c. 1470 J
d. 75 J
Important Formulas:
[tex]w=Fd[/tex]
[tex]F=ma[/tex]
work(measured in joules) = force(measured in newtons) * distance(measured in meters)
force(measured in newtons) = mass(measured in kg) * acceleration(measured in m/s^2)
__________________________________________________________
Given:
[tex]m=150kg[/tex]
[tex]d=2m[/tex]
[tex]a=9.8m/s^2[/tex] (acceleration due to gravity)
[tex]w=?[/tex]
__________________________________________________________
Finding force:
[tex]F=ma[/tex]
[tex]F=150\times9.8[/tex]
[tex]F=1470N[/tex]
__________________________________________________________
Finding work:
[tex]w=Fd[/tex]
[tex]w=1470\times2[/tex]
[tex]w=2940J[/tex]
__________________________________________________________
[tex]\fbox{Option B}[/tex]
What i the velocity of the ice kater after
throwing the nowball? Diregard the friction
between the kate and the ice
Kinetic Friction, or Sliding Friction, is the friction between skates and ice. When two items slide past each other, this form of friction develops.
Sliding Friction is created when the skate blade passes through the ice. The beautiful curves are governed by the second law. Acceleration is required for a change in velocity, which includes both speed and direction. Because of the constantly changing direction, traveling in a circle at a constant speed includes acceleration. Because everyone is initially at rest, the system's linear momentum is zero. Because there is no external force acting on the system when the guy throws the ball, linear momentum must be conserved.
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What are the 4 types of genetic disorders?
Chromosome abnormalities, Multifactorial genetic inheritance disorders, Single-gene inheritance diseases, and Mitochondrial genetic inheritance disorders are the four primary categories.
What genetic condition is most prevalent?In the US, the most prevalent and lethal genetic disease is cystic fibrosis (CF). In the US, the illness affects about 30,000 people.
Describe a typical genetic condition.inherited disorders. Sickle cell illness. Cystic fibrosis Fibrosis Cystic a liver condition. brain, spine, and nerves. genes moving from one chromosome to another due to deletions, which are missing sections of chromosomes (called a translocation) damage to chromosomes (changes in the number or structure of complete chromosomes, the structures that make up chromosomes) or an additional or missing chromosome caused by gene mutations and environmental factors.
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Which of jupiter's moons experiences the greatest gravitational force of attraction to jupiter?.
The moon that experiences the greatest gravitational force of attraction from Jupiter is Io, which is the innermost of Jupiter's four largest moons (also known as the Galilean moons).
Io is the most massive of the Galilean moons, and it is also the closest to Jupiter, which means that it experiences the strongest gravitational force of attraction from the planet. In fact, the strong gravitational pull of Jupiter on Io is so great that it causes Io to experience significant tidal forces, which have caused its surface to become heavily fractured and geologically active.
It's worth noting that while Io experiences the strongest gravitational force of attraction from Jupiter, the other Galilean moons (Europa, Ganymede, and Callisto) also experience significant gravitational forces due to their large masses and close proximity to Jupiter.
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Answer:the answer is A, lo
Explanation:
In which stage of the star, does nuclear fusion reaction begin?
Nuclear fusion reactions begin in the main sequence stage of a star's life.
During the main sequence stage, a star is in hydrostatic equilibrium, meaning that the outward pressure of the hot, dense gas at its core is balanced by the inward gravitational force. This balance allows the star to maintain a stable size and luminosity.
At the core of a main sequence star, the temperature and pressure are high enough to initiate nuclear fusion reactions, in which hydrogen nuclei combine to form heavier helium nuclei. These reactions release a large amount of energy in the form of light and heat, which helps to maintain the high temperature and pressure at the core and keep the star in hydrostatic equilibrium.
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How much work is required for an 80kg firefighter to run up 21.5m in 60s?
Answer:
To calculate the amount of work required for an 80kg firefighter to run up a 21.5m in 60s, we first need to determine the force required to lift the firefighter up the 21.5m. Because the firefighter is running, we can assume that their body is moving at a constant speed, so the force required to lift them is equal to their weight, or 80kg.
Next, we need to calculate the distance over which the force is applied. In this case, the firefighter is running up a 21.5m flight of stairs, so the distance is 21.5m.
Finally, we need to determine the time over which the force is applied. In this case, the firefighter runs up the stairs in 60s, so the time is 60s.
To calculate the amount of work required, we use the formula W = F * d, where W is the work, F is the force, and d is the distance. Plugging in the values we determined above, we get:
W = 80kg * 21.5m = 1720kgm
Therefore, the amount of work required for the firefighter to run up the stairs in 60s is 1720kgm.
The amount of work required for the firefighter to run is 5.2 J.
What is meant by kinetic energy ?Kinetic energy is defined as the energy acquired by a body by virtue of its motion.
Here,
Mass of the firefighter, m = 80 kg
Distance to be covered by the firefighter, d = 21.5m
Time taken by the firefighter, t = 60 s
So, velocity of the firefighter,
v = d/t
v = 21.5/60
v = 0.36 m/s
The amount of work required for the firefighter to run is equal to his kinetic energy.
Therefore, kinetic energy of the firefighter,
KE = 1/2 mv²
KE = 1/2 x 80 x(0.36)²
KE = 5.2 J
Hence,
The amount of work required for the firefighter to run is 5.2 J.
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a a 10000 kg train was moving with 48m/s then starts decelerate with constant rate to stop on its stationary that is found 192m away so the train slides through this distance and stops. how long the train did takes to stops
Answer:
First we need to calculate how fast it goes.
192m / 48m per second = 4 seconds
Then calculate the 4 seconds with the weight of the train.
10000 kg x 4 seconds = 40,000 seconds.
That means the train traveled 192 meters in 40,000 seconds.
Why do we calculate frequency?
Frequency gives the number of unique purchases and monetary calculates the amount of money spent.
Frequency, in physics, is the number of waves that pass fixed point in unit time; also, the number of cycles or vibrations undergone during one unit of time by a body in periodic motion.
What is frequency?
The definition of frequency says that it is the number of complete cycles of a wave passing through a point per unit time.The SI unit of the frequency is Hertz (Hz).Frequency of a sine wave as the number of complete oscillations made by any wave element per unit time.A frequency is in periodic motion, it has gone through one cycle after passing through a series of events or positions and returning to its original state.To know more about frequency, click the link given below:
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What is the formula of cutoff wavelength?
The cutoff wavelength calculation formula is λ = c/f.
The cutoff wavelength is what?The cutoff wavelength is the lowest wavelength at which light may cause electrons on a metal plate to become free.
The shortest wavelength of light that will not cause electrons to be emitted from a metal surface is the cut-off wavelength, sometimes referred to as the threshold wavelength. If no electrons are released, the light's wavelength must be below the threshold wavelength.
The wavelength at which the power level of the Higher Order Modes has decreased by 19.3 dB in comparison to the level of the Fundamental Mode is known as the Cut-off Wavelength (strictly speaking this is true only for the Second Order Mode).
The formula to calculate cutoff wavelength is λ = c/f
where λ is the wavelength of light
c = speed of light
f = frequency of light
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What is the speed of wavelength 3?
0.3 m/s is the speed of a wave with a wavelength of 3m and a frequency of 0.1 HZ.
What is a speed of a wave?Wavelength and frequency are both correlated with wave speed. The distance between the respective points of two consecutive waves is known as the wavelength. The number of waves passing at a specific spot at any given time is known as the wave frequency. Consequently, the equation below illustrates how three components are connected.
Solution:Wave speed = Wavelength x Wave frequency
given:
wavelength = 3 m
frequency = 0.1 Hz.
So, the wave speed is
Wave speed = 3 x 0.1 = 0.3m/s
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In this diagram, heat energy is being added over time. The vertical axis shows an increase in temperature, and the horizontal axis shows the passage of time. In the diagram, the solid eventually becomes a gas. What will happen to bring the substance from a solid to a gas? Responses Energy will be taken away. Energy will be taken away. Energy will be added. Energy will be added. The substance will lose volume. The substance will lose volume. The substance will lose pressure.
As the solid is turned into gas, energy would be added to the solid.
What is a heating curve?We know that the heating curve has to do with the diagram that shows the way and manner in which the temperature of a body changes as it is converted from solid to gas. We know that heat is that kind of energy which is able to cause the temperature change of a body.
There are stronger intermolecular interactions that holds the substance together in the solid state than there is in the liquid state. The implication of this is that more energy must be supplied so as to break these strong interactions and take the substances from solid to gas.
In the gaseous state, there is minimum intermolecular interactions and the particles of the substance are moving freely.
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Saair rushes to her car in order to hurry home and dressed for work . Failing to realize the dangers to driving under slick and icy conditions, she collides her 976.0 kg Mazda Miata into the rear of a 3178.p kg pick up truck which was at rest at the light on Lake Avenue . Ima's per-collision speed was 12.0 m/s . Determine the collision speed of the two entangled cars as they slide across the ice
The post collision speed of the Mazda Miata and the pick up truck as they slide across the ice are respectively 6.36 m/s and 5.64 m/s.
What is elastic collision?An elastic collision is one in which the system does not experience a net loss of kinetic energy as a result of the collision.
Given that masses of the Mazda Miata and the pick-up truck are respectively 976.0 kg and 3178.0 kg.
Pre-collision speed of Ima = 12.0 m/s.
As the collision is elastic in nature,
The post collision speed of the Mazda Miata =
{(976.0 - 3178.0)/(976.0 - 3178.0)} × 12.0 m/s
= - 6.36 m/s.
The post collision speed of the pick up truck =
{(2×976.0)/(976.0 - 3178.0)} × 12.0 m/s
=5.64 m/s.
Hence, the post collision speed of the two entangled cars as they slide across the ice are respectively 6.36 m/s and 5.64 m/s.
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the position-versus-time plot of a boat positioning itself next to a dock is shown in the figure
The ranking in the order of increasing velocity is D, C, E, A =F, B.
We know slope of a position time graph gives the value of velocity.
An upward slope gives positive velocity and a downward slope gives negative velocity.
slope m = position/time = velocity
Slope is negative at points D and C, but is more negative at D.
Positive slopes are at points A,E,F,B.
If we look at the slopes, we can easily say that slopes are zero at A and F and is maximum positive at B.
So, we have ranking in order of increasing velocity as D C E A=F, B
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30 POINTS PLS HELP
The picture attached has the question
Answer: cold or hot
Explanation:
Predict what happens to the mechanical advantage of a machine if friction is reduced through the use of oil or some other means.
A big machine is composed of several moving and stationary parts. Some of these parts are in a state of constant motion hence they periodically rub against each other.
Explain about mechanical advantage:The Mechanical Advantage (MA) of a machine is the ratio between the output force produced by the machine divided by the input force exerted on it:The MA is generally a number larger than 1, since machines are used to "multiply" the force applied.There are actually 2 values of the mechanical advantage for a machine:The Ideal Mechanical Advantage (IMA), which is the MA when there are no frictional force acting on the machine, and so when all the work done in input is transferred as energy in output The Actual Mechanical Advantage (AMA), which is the MA when taking into account the frictional forces, which cause a dissipation of part of the energy; so, not all the work done in input is transferred as energy in outputThe efficiency of a machine is defined as the ratio between the two:A machine cannot have an efficiency of 100% because there are always some frictional/resistive forces acting on the system, so part of the energy in input is always dissipated, and therefore AMA < IMA, and so the efficiency is not 100%.As we know that friction force is the resistive force due to relative motion of two surface. When one surface is moving relative to other surface then the motion is resisted by the interaction force between two surface which is known as friction force.To learn more about mechanical advantage refer to:
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Who mapped the ocean floor using sonar?
Marie Tharp was a geologist and a cartographer who was born in Michigan in 1920. Tharp was the first to map the ocean floor using science, working with her colleague Bruce Heezen. As a geologist with Stanolind Oil in the 1940s, Tharp started her career in science.
Does sonar help with ocean floor mapping?
The ship broadcasts multibeam sonar waves. Multibeam "paints" the bottom in a fan-like pattern by emitting roughly 1500 sonar soundings per second. In doing so, a thorough "sound map" that displays ocean depth, bottom type, and topographic features is produced.
The type of bottom, including whether it is coral- or seagrass-covered, sandy, soft, or covered with other soft vegetation, can be determined by the echo's intensity.
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Discuss the importance of understanding both mechanical and electromagnetic waves by giving examples, such as designing comfortable and safe structures and technologies.
This procedure enables life as we know it. And electromagnetic waves influence modern life in countless smaller-scale (but more immediate) ways. For example, electromagnetic waves are responsible for your cell phone, Wi-Fi connection, microwave, and medical imaging methods like x-ray and MRI.
What understanding mechanical and electromagnetic wave?Energy is moved around the planet in two main ways: mechanical waves and electromagnetic waves. Mechanical waves include air and water waves caused by sound.
Therefore, Ocean waves are crucial for climate modelling, weather forecasting, coastal towns, shipping lanes, and offshore business.
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Can somebody answer this
Any of a clear glass plate, metal plate or brown paper can be stuck into the circle to help people notice the door (option D).
What is a glass door?A glass door is a door made of glass, usually in a wood or metal frame.
Glass doors are a gorgeous way of opening up a home to create more visual space and brighten up any room. Letting in natural light not only looks beautiful, but helps to save on electricity as well.
Toughened glass doors provide a safe, sturdy and stylish solution for interior doors in your homes or offices.
Glass doors are an especially nice option for homeowners with pets, particularly cats or dogs who like to look outside and watch the natural wildlife roam about.
According to this question, the above image shows glass doors that fit into many offices. However, sometimes, people in a hurry may not see them and bang into them.
Therefore, option D is the best and correct option.
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A 18.3 kg rock, m, is on the edge of a 105.4 m cliff, h, as shown in the picture. Assume that air resistance is negligible. The rock falls from the cliff. What is its kinetic energy just before it strikes the ground?
18902.4 J kinetic energy just before it strikes the ground.
What is kinetic energy?The energy an item has as a result of motion is known as kinetic energy. A force must be applied to an item in order to accelerate it. We must put forth effort in order to apply a force. After the job is finished, energy is transferred to the item, which then moves at a new, constant speed.
Given that,
mass (m) = 18.3 kg
height (h) = 105.4 m
Thus, Potential energy (P.E) = mgh
or, P.E = (18.3) ×(9.8) ×(105.4)
or, P.E = 18902.4 J
Kinetic energy (K.E) = Potential energy (P.E)
or, Kinetic energy (K.E) = 18902.4 J
Thus, 18902.4 J kinetic energy needed just before it strikes the ground.
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Explain why running up a flight of stairs is so much different than walking if both require the same amount of work?
Answer:
Running up a flight of stairs is different than walking because it requires a different type of muscle activity. When walking, the muscles in your legs move in a more controlled and rhythmic manner, allowing you to maintain a steady pace and avoid stumbling. In contrast, running up stairs requires your muscles to work in a more explosive and powerful manner, generating bursts of force to push you upward and forward. This type of muscle activity is much more intense and demanding, and it requires more energy and effort than walking.
Additionally, running up stairs also requires you to overcome the force of gravity to a greater extent than walking. When you walk up stairs, you are able to use the stairs to support your weight and to assist you in moving upward. When running, however, you are moving too quickly to use the stairs in this way, and you must rely on your own muscle power to lift your body upward. This additional force of gravity makes running up stairs more challenging and demanding than walking.
A gas dissolves in a liquid most rapidly when under _______ pressure.
High
A gas dissolves in a liquid most rapidly when under High pressure.
An example of a high pressure boiler is one that produces energy in thermal power plants that runs at 80 bars or more. They produce electricity by turning water into steam through thermal energy using water-filled tubes in a metal tank or enclosure, which is then utilized to power machinery. There is a higher likelihood of leaks occurring in the system if the boiler pressure is too high. The system won't function as well if the boiler pressure is too low, though. For your system to effectively heat your home, it is crucial to maintain the proper boiler pressure.
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the speed of light with a wavelength 589 nm in light flint glass is 1.90x108 m/s. what is an index of refraction of the glass at this wavelength?
The index of refraction of the glass at a wavelength of 589 nm is approximately 1.58
To determine the index of refraction of the glass at a wavelength of 589 nm, we can use the formula:
n = c / vwhere n is the index of refraction, c is the speed of light in a vacuum (which is approximately 3 x 10^8 m/s), and v is the speed of light in the glass.
Plugging in the values provided, we get:
n = 3 x 10^8 m/s / 1.90 x 10^8 m/s
= 1.58
This means that the index of refraction of the glass at a wavelength of 589 nm is approximately 1.58. The index of refraction is a measure of how much the speed of light is reduced when it travels through the glass, so a higher index of refraction indicates that light travels more slowly through the glass.
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How does sonar detect underwater objects?
An acoustic signal or sound pulse is sent into the water by active sonar transducers. The sound pulse will bounce off an item if one is in the way of the sound pulse, sending a "echo" back to the sonar transducer.
Does sonar function submerged?SONAR is most useful underwater, although it also functions in the open air. The reason for this is that sound travels farther in water.
How does underwater sonar work to find submarines?Sonar devices use sound waves to penetrate the ocean and record the sound waves that are reflected back to display items below the surface. This is known as active sonar, which is a type of echolocation similar to that employed by bats. Similar technology exists in radar, but radio waves are used in it.
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1a. state the condition for the equilibrum of a rigid body acted upon by parallel forces
1bi. Describe an experiment using the principles of moments to determine the mass of a meter rule
1bii. State two precautions necessary to ensure accurate results
c. what is a couple in physics
The response to the questions are given below:
1a. The condition for the equilibrium of a rigid body acted upon by parallel forces is that the vector sum of all the forces acting on the body must be equal to zero, and the vector sum of all the torques (moments) acting on the body must also be equal to zero.
1bi. An experiment to determine the mass of a meter rule using the principles of moments could involve suspending the meter rule from a pivot point using a string or wire, and then applying known weights to the ends of the meter rule.
1bii. Two precautions that should be taken to ensure accurate results in this experiment would be to ensure that the pivot point is perfectly level and that the weights applied to the ends of the meter rule are applied at exactly the same distance from the pivot point.
C. A couple in physics is a pair of forces that act on a body in such a way that they produce a turning effect, or torque, about a fixed point. A couple consists of two equal and opposite forces that are applied to the body at different points.
What is equilibrium of a rigid body?When a rigid body's linear momentum or rotational momentum are not changing at any given time, it is said to be in mechanical equilibrium. The body is in a state of mechanical equilibrium when there is no linear or angular acceleration.
When a rigid body's linear and angular acceleration are both zero with respect to an inertial frame of reference, we say that it is in equilibrium. A body in equilibrium can therefore move, but in that case, its linear and angular velocities must remain constant.
Therefore, In essence, there should not be any acceleration for an object to be in equilibrium (linear or angular). Therefore, the item must have zero net force and zero net torque.
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Which produces more electricity wind or solar?
In comparison to solar panels, which are just 18% to 22% efficient, wind turbines typically capture 60% of the energy that travels through them. It follows that it is undisputed that a single house wind turbine can generate more electricity than a number of solar panels.
Tell me about solar energy?Through photovoltaic (PV) panels or mirrors that concentrate solar radiation, solar technologies turn sunlight into electrical energy. Batteries or thermal storage devices can be used to store this energy or to generate power.
What are the principles behind a solar panel's operation?On the top of a solar panel, a thin layer of silicon is hit by photons, or light particles, which dislodge electrons from silicon atoms. The wiring in solar panels is able to capture the electric current that this PV charge generates.
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