The sensation of colour is seen when light falls on the eye's cones.
The retina, a component of the eye, is what detects light entering our eyes. The pupil is the black hole in the centre of the eye that lets the light into the eye.
Light-sensitive cells can be found in the retina of the eye. It contains two kinds of cells known as rods and cones. Cones are the cells of retina that produce colour sensation. These photoreceptor cells are responsible for colour vision.
Rod cells are photoreceptor cells in the retina that function in dim light better than the other type of visual photoreceptor, cone cells.
Rods are employed in peripheral vision and are often clustered at the borders of the retina.
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the space shuttle is traveling at an altitude of 550 km around the earth, what would be the escape velocity (in km/s) at this altitude if the shuttle was to leave the gravitational field of the earth to travel to mars?
The escape velocity at an altitude of 550 km above the Earth's surface is approximately 10.93 km/s.
The escape velocity at a given altitude above the surface of the Earth is given by the formula:
v = sqrt(2GM/r)
where G is the gravitational constant, M is the mass of the Earth, and r is the distance from the center of the Earth to the object.
At an altitude of 550 km, the distance from the center of the Earth is:
r = 6,371 km + 550 km = 6,921 km
The mass of the Earth is:
M = 5.97 × 10^24 kg
Using these values and the value of G, we can calculate the escape velocity:
v = sqrt(2 * 6.6743 × 10^-11 m^3 kg^-1 s^-2 * 5.97 × 10^24 kg / 6,921,000 meters) = 10.93 km/s
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duration, frequency, and intensity are increased in an exercise program during the ________ phase.
The duration, frequency, and intensity are increased in an exercise program during the progression phase.
A program's progression phase is a key time for developing strength, flexibility, and endurance. In order to keep the body challenged and encourage new adaptations, the duration, frequency, and intensity of the workouts are increased during this phase. People can prevent hitting a plateau and advance towards their fitness objectives by progressively increasing the demands placed on their bodies. To prevent injury or overtraining, it's crucial to approach this phase cautiously and to gradually and carefully increase these factors. An effective progression plan can assist people in achieving their fitness objectives, whether they are to increase their overall health and wellness, lose weight, or gain muscle.
In an exercise program, duration, frequency, and intensity are typically increased during the "progression" phase. This phase focuses on gradually increasing the workload to improve physical fitness and adapt to the exercise routine.
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Physics Question : balance mg+o2=mgo
Answer:
2Mg+O2= 2MgO
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Examine the image shown here. Bike helmets like this one have padding made of foam under the hard exterior of the plastic. The foam is what is in contact with the head of the wearer. These are safer in an accident than a non-foam padded helmet for which reason? A) The foam increases the inertia. B) The foam increases the momentum. C) The foam increases the time of impact. D) The foam decreases the time of impact.
The foam decreases the time of impact.
What is Impulse?The Impulse applied to an object causes a change in the momentum of the object. Impulse is the product of force and time of impact.
J = Ft
where;
J is the impulseF is the applied forcet is the time of impactThe increase in the time of impact increases the impulse experienced by the object, and a decrease in the time of impact causes a decrease in the impulse experienced by the object.
Thus, we can conclude that the foam decreases the time of impact because it cushions the effect of impact.
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there are many forces that influence waves; they are classified as either generating or restoring forces. select all of the following that are generating forces.
There are many forces that influence waves; they are classified as either generating or restoring forces. The generating forces are option A, C, D and E:
WindPhysical displacementPressure differencesEarthquakesWhat are the forces that cause waves to form?Wind is the most frequent cause of waves. The friction between the wind and the surface of the water produces wind-driven waves.
Note that A wave crest is produced when wind often disturbs the water's surface in an ocean or lake. The movement of the water, gravitational pull, and wind all contribute to the formation of waves.
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Wind
Animals
Physical displacement
Pressure differences
Earthquakes
Which type of wave moves both energy and the particles in the same direction as the medium?
Answer:
Longitudinal waves
Explanation:
With sound waves, the energy travels along in the same direction as the particles vibrate. This type of wave is known as a longitudinal wave , so named because the energy travels along the direction of vibration of the particles.
Consider a normal shock wave moving with a velocity of 680 m/s into still air at standard atmospheric conditions (p
1 =1 atm and T
1 =288 K). a. Using the equations of Sec. 7.2, calculate T 2 ,p 2 , and u p behind the shock wave. b. The normal shock table, Table A.2, can be used to solve moving shock wave problems simply by noting that the tables pertain to flow velocities (hence, Mach numbers) relative to the wave. Use Table A.2 to obtain T 2 ,p 2 , and u p for this problem
To calculate T2, p2, and up behind the shock wave, we can use the equations and the normal shock table provided. substitute into the equations to calculate T2, p2, and up.
To obtain the values for T2, p2, and up for this problem using Table A.2, you would need to refer to the table yourself. Table A.2 typically provides the properties behind a normal shock wave for different Mach numbers, including the pressure ratio (p2/p1), temperature ratio (T2/T1), and velocity ratio (up/a).You can look up the specific Mach number M1 (determined using the given velocity ahead of the shock and the speed of sound) in the table to find the corresponding values for T2/T1, p2/p1, and up/a.
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what is the frequency of light with a wavelength of 3 meters?
Answer:
3x10^8=3f f=1x10^8 It think it is hopeful
The required frequency of light with a wavelength of 3 meters is \(1 * 10^{8}\).
Given that,
The frequency of light with a wavelength of 3 meters is to be determined.
Frequency is defined as the amount to waves passes through per unit course of time.
A wave is defined as a disruption in a system that bears energy without the action of particles. It may take the form of adaptable deformation, a divergence of stress, electric or magnetic intensity, electric potential, or temperature.
Here,
The formula for the frequency of light is
F = c / λ
Where C = speed of light = \(3 * 10^8\) and,
λ = wavelength = 3
F = \(3 * 10^8\) * / 3
F = \(1 * 10^{8}\)
Thus, the required frequency of light with a wavelength of 3 meters is \(1 * 10^{8}\).
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trons accelerated by a potential difference of 12.3 v pass through a gas of hydrogen atoms at room temperature.
When trons are accelerated by a potential difference of 12.3 V, they pass through a gas of hydrogen atoms at room temperature.
In this scenario, the potential difference of 12.3 V is causing the trons to move or accelerate. The trons then interact with the hydrogen atoms in the gas.
At room temperature, hydrogen exists as individual atoms rather than molecules. Each hydrogen atom consists of a single proton and one electron. When the trons pass through the gas of hydrogen atoms, they may collide with the hydrogen atoms and interact with their electrons.
These interactions between the trons and hydrogen atoms can have various outcomes. For example, the trons may transfer energy to the hydrogen atoms, causing them to become excited or even ionized. This transfer of energy can lead to the emission of light or the formation of ions.
To summarize, when trons are accelerated by a potential difference of 12.3 V and pass through a gas of hydrogen atoms at room temperature, they can interact with the hydrogen atoms, causing various outcomes such as excitation or ionization. This interaction between the trons and hydrogen atoms is influenced by the energy transfer between them.
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Name the two conditions necessary for the vertical distance equation
Then the two conditions necessary for the vertical distance equation are given by Newton's first law and second law.
What is Newton's law?The law of balance is part of Newton's first law of motion. Everything has a tendency to hold onto its equilibrium or resting state until it is disturbed by an outside force, according to Newton's first law. A state of equilibrium is one in which a body is constant. The body is subject to net zero force.
If the system is in equilibrium, then by Newton's first law, the equation is given as,
∑F = 0
And by Newton's third law, the equation is given as,
F₁₂ = - F₂₁
Then, Newton's first rule and second law provide the two conditions required for the actual output equation.
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the conservation of nucleons and the conservation of charge apply to A. only gamma decay. B. only beta decay. C. only alpha decay. D. all nuclear decay processes.
The conservation of nucleons and the conservation of charge apply to all nuclear decay processes, including gamma decay, beta decay, and alpha decay.
In gamma decay, no nucleons or charge are lost or gained, so the conservation laws still apply. In beta decay, a neutron is converted into a proton, or vice versa, which changes the number of nucleons and the charge of the nucleus. However, the overall conservation of nucleons and charge is still maintained. Similarly, in alpha decay, the nucleus emits an alpha particle, which reduces the number of nucleons and the charge of the nucleus, but the conservation laws are still upheld.
The conservation of nucleons and the conservation of charge apply to D. all nuclear decay processes.
In nuclear decay processes, the total number of nucleons (protons and neutrons) and the total electric charge are conserved. This means that the total number of protons and neutrons before the decay will be equal to the total number of protons and neutrons after the decay. Similarly, the total charge before the decay will be equal to the total charge after the decay.
In gamma decay, the nucleus transitions from an excited state to a lower energy state, releasing a gamma photon. No nucleons are lost or gained, and the charge is conserved.
In beta decay, a neutron is converted into a proton (beta-minus decay) or a proton is converted into a neutron (beta-plus decay). In both cases, the total number of nucleons remains constant, and the conservation of charge is maintained as a negatively charged electron (or a positively charged positron) is emitted in the process.
Alpha decay involves the emission of an alpha particle, which consists of two protons and two neutrons. Although the parent nucleus loses four nucleons in this process, the total number of nucleons is still conserved, as they are now part of the alpha particle. The conservation of charge is also maintained, as the parent nucleus loses two protons and its charge decreases accordingly.
In summary, the conservation of nucleons and the conservation of charge apply to all nuclear decay processes, including gamma decay, beta decay, and alpha decay.
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List the three main things necessary to build an electromagnet.
Answer:
Electromagnets are special types of magnets that are made by passing current through coils of wire. To make an electromagnet, the minimum requirements are:
1. A nail (usually made of iron, steel or zinc)
2. Dry cell batteries
3. Wire (Usually copper wire)
Other things could be:
1. Electric tape to hold both ends of the wire properly at the battery terminals.
2. Scissors to cut the wire into desired length.
3. Iron fillings for testing purposes.
An electromagnetic wave Group of answer choices a.Never moves b.Can travel through empty space or matter. c. Can travel only through empty space. d. Cannot travel through matter
Answer:
b
Explanation:
because electromagnetic waves can travel in vacuum as they don't require particles to transfer energy from one point to another. they can also travel through mediums such as the wall or air, if not how do radio waves transfer energy in this hyper advanced world? through the air
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At what point does the ball have the most gravitational potential energy?
for luminosity classification, fat stars have skinny spectral lines.
In luminosity classification, it is observed that fat stars tend to have skinny spectral lines. This phenomenon suggests a correlation between the width of spectral lines and the luminosity of a star.
Luminosity classification is a method used to categorize stars based on their brightness and energy output. Spectral lines are dark or bright lines that appear in a star's spectrum, representing specific wavelengths of light emitted or absorbed by different elements in the star's atmosphere. The width of these lines can provide valuable information about a star's physical properties.
The observation that fat stars have skinny spectral lines implies that stars with higher luminosity tend to exhibit narrower lines in their spectra. This correlation can be attributed to the characteristics of fat stars, which generally have higher temperatures and stronger gravitational forces compared to their less luminous counterparts. These factors lead to a higher degree of ionization and higher densities in the stellar atmosphere, resulting in narrower spectral lines. Therefore, the width of spectral lines can serve as an indicator of a star's luminosity, with fat stars showing narrower lines compared to less luminous stars.
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The driver of a car moving with a uniform speed of 40m/s observes a truck approaching
in the opposite direction with a speed of 20m/s.Calculate the speed of the car relative to that of the truck.
Answer:
60m/s
Explanation:
Whenever two objects are moving in opposite direction the relative speed is obtained by adding the speeds of the two objects.
Here the two vehicles are moving with speed 20m/s and 40m/s .
So the relative speed of the car relative to that of the truck will be,
(40 + 20 ) m/s
60m/s
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suppose you watch a video backwards and slowed down by a factor so that if the video is one hour long when played normally, you watch it from end to beginning and it takes hours to do so. the video shows some physical motion. if the motion in the video has acceleration when played normally, what is the acceleration you would measure when watching the video backwards and in slow motion?
When watching a video backwards and in slow motion, the measured acceleration would be the same as the acceleration observed in the original video, but with the opposite sign.
The acceleration observed in the original video is a physical property of the objects or subjects within the video. When the video is played normally, the acceleration can be measured based on the changes in velocity over time. In this scenario, watching the video backwards and in slow motion effectively reverses the direction of time. However, the physical motion captured in the video remains the same. The objects or subjects still experience the same accelerations but in the opposite direction.
Mathematically, if the acceleration in the original video is denoted as "a", then when watching the video backwards and in slow motion, the measured acceleration "a'" would be equal to "-a". The negative sign indicates the reverse direction of the acceleration. The factor of slowing down the video does not affect the magnitude of the acceleration, as it only affects the perception of time and does not alter the physical properties of the objects or subjects in the video. Therefore, the observed acceleration remains the same, but with the opposite sign.
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When watching a video backwards and in slow motion, the measured acceleration would be the same as the acceleration observed in the original video, but with the opposite sign.
The acceleration observed in the original video is a physical property of the objects or subjects within the video. When the video is played normally, the acceleration can be measured based on the changes in velocity over time. In this scenario, watching the video backwards and in slow motion effectively reverses the direction of time. However, the physical motion captured in the video remains the same. The objects or subjects still experience the same accelerations but in the opposite direction.
Mathematically, if the acceleration in the original video is denoted as "a", then when watching the video backwards and in slow motion, the measured acceleration "a'" would be equal to "-a". The negative sign indicates the reverse direction of the acceleration. The factor of slowing down the video does not affect the magnitude of the acceleration, as it only affects the perception of time and does not alter the physical properties of the objects or subjects in the video. Therefore, the observed acceleration remains the same, but with the opposite sign.
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a nearsighted person has a near point of 15 cm and a far point of 50 cm . part a when he is wearing glasses to correct his distant vision, what is his near point? when he is wearing glasses to correct his distant vision, what is his near point? 64 cm 33 cm 21 cm 12 cm
When he is wearing glasses to correct his distant vision, his near point is -6.67 diopters. When the nearsighted person is wearing glasses to correct his distant vision, his near point is 64 cm. Answer choice (a) is the correct option.
A nearsighted person has difficulty seeing distant objects clearly, but can see nearby objects without any problem. The near point is the closest distance at which an object can be brought into focus. The far point is the farthest distance at which an object can be seen clearly without any visual aid.
To correct nearsightedness, a diverging lens is used to diverge the incoming light rays before they enter the eye, so that the image is formed at the correct position on the retina.
We can use the lens formula to calculate the power of the lens required to correct the nearsightedness:
1/f = 1/v - 1/u,
where f is the focal length of the lens, v is the distance of the image from the lens, and u is the distance of the object from the lens.
When the person is wearing glasses to correct his distant vision, the image of a distant object is formed at infinity. Therefore, v = infinity, and the lens formula becomes:
1/f = 0 - 1/u
f = -u
The power of the lens required to correct the person's nearsightedness is therefore given by the equation:
P = 1/f = -1/u
We can use this equation to calculate the power of the lens required to bring the near point of the person into focus:
P = -1/0.15 = -6.67 diopters
When the person is wearing glasses to correct his distant vision, the power of the lens required is -6.67 diopters.
To find the near point when wearing the glasses, we can use the formula:
1/f = 1/v - 1/u
where v is the distance at which the person can see clearly with the glasses. We want to find the value of u, the distance of the near point when wearing the glasses.
Since the person can see clearly at a distance of 50 cm, we have:
1/f = 1/∞ - 1/50
Simplifying this expression, we get:
1/f = 0 - 0.02
f = -50 diopters
Now, we can use the formula for the power of the lens:
P = 1/f = -1/50 = -0.02 diopters
The power of the lens required to correct the person's nearsightedness when wearing glasses is -0.02 diopters.
Finally, we can use the formula for the near point:
1/f = 1/v - 1/u
with v = 50 cm and f = -0.02 diopters, to find the value of u:
1/(-0.02) = 1/50 - 1/u
Solving for u, we get:
u = 64 cm
Therefore, when the nearsighted person is wearing glasses to correct his distant vision, his near point is 64 cm. Answer choice (a) is the correct option.
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30 POINTS PLS HELP FAST!!!!!!
Answer:
The solar waves (especially waves below the visual spectrum - ultraviolet waves) penetrate the carbon dioxide (also methane) layer and then the heat created by these waves is trapped by carbon dioxide layer causing an imbalance in the heat received by the earth and the heat radiated back into space by the earth.
Destruction of the ozone layer in the upper atmosphere allows energetic UV particles to reach the earth that would normally be trapped in the upper atmosphere.
A scientist is studying the effects of sunlight on rose bushes. Which of the
following is a testable question about this topic?
Answer:
Does more sunlight make rose bushes grow taller?
Explanation:
When conducting a research, the researcher usually poses research questions in order to confirm or disprove the research hypothesis. A research question addresses the key issues and questions that the research project is intended to answer. Good research questions always aim at improving the body of knowledge on the selected topic of the research. Research questions must be narrowed down to specific details of the topic. They must also be testable, they must not be vague.
If I am studying the effect of sunlight on rose bushes, then the question, 'does more sunlight make rose bushes grow taller?' Is apt to the research because it can be tested by exposing various thorn bush plants to varying degrees of sunlight and recording my observation.
Answer:
If rose bushes receive more hours of sunlight each day, they will grow taller.
Explanation:
I just answered it on Apex, and they like to switch up how they word things sometimes.
The more gallons of milk I have, the more cups milk I can pour what’s the independent and dependent variable?
Answer: I think the independent variable is the gallons of milk. and the dependent variable is the amount of milk you can pour.
(The more gallons of milk you have is the thing that changes the whole outcome, which is the amount of milk that can be poured out)
The compounds that make up
plastic are ___________
because they contain carbon and
hydrogen
Answer:
ethylene
Explanation:
ethylene is a compound consist of two double bonded carbon atom and four hydrogen atoms at room temperature is a gas
Answer:
Ethylene
Explanation:
Because Ethylene is a simple molecule composed of two double-bonded carbon atoms and four hydrogen atoms. It's a gas at room temperature. Ethylene molecules can be chemically bonded, end to end, to form a polymer named polyethylene.
an excimer laser produces radiation at 157 nm, and optics with a numerical aperture of 1.4 is available. what is the smallest size of feature you could make in a resist? how might smaller final features be made in the underlying silicon with the same optics?
A 157 nm exim laser emits light, and 1.4 numerical aperture optics are provided. What would be the smallest feature you could create?
Radiation definition?Electromagnetic waves or particles are emitted as energy. Radium, cosmic rays from space, medical x-rays, or energy released by a radioactive unstable version of a chemical substance that emits radiation because it begins to break down and becomes more unstable are a few common sources of radiation.
hazardous external risk. "Beta burns" can result from beta particles partially penetrating skin. Alpha rays cannot pass through healthy skin. A human can be penetrated by gamma and x-rays, which harm the cells in the path.
Describe cosmic rays?They are energetic particles that travel through space at velocities close .
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the critical angle for the total internal reflection at the liquid air interface is 42.5 degrees. (a) If a ray of light traveling in the liquid has an angle of incidence of 35.0 degrees at the interface, what angle does the refracted ray in the air make with the normal? (b) If a ray of light traveling in air has an angle of incidence of 35.0 degree at the interface, what angle does the refracted ray in the liquid make with the normal?
When a ray of light travels from liquid to air with an incidence angle of 35.0 degrees, the angle of refraction in air can be calculated using Snell's law.
(a) When a ray of light travels from a denser medium (liquid) to a less dense medium (air), with an angle of incidence of 35.0 degrees, and the critical angle is 42.5 degrees, total internal reflection does not occur. Therefore, the ray undergoes refraction. Using Snell's law (n₁sinθ₁ = n₂sinθ₂), we can calculate the angle of refraction in air.
(b) When a ray of light travels from air to a denser medium (liquid) with an angle of incidence of 35.0 degrees, which is less than the critical angle, refraction occurs. Again using Snell's law, we can calculate the angle of refraction in the liquid.
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suppose that the electron in fig. e21.27 is replaced by a proton with the same initial speed v0. would the proton hit one of the plates? if not, what would be the magnitude and direction of its vertical displacement as it exits the region between the plates?
To calculate the vertical displacement as the object exits the plates, we once more use the kinematic equations.2.73 106 m is the size of the vertical displacement.
What would be the magnitude and direction of its vertical displacement ?The electron experiences an upward force as it moves between the charged plates and narrowly avoids striking the top plate.It barely misses the tongs as it rises by a minuscule inch.
The electron narrowly escapes impacting the top plate as it travels between the charged plates and feels an upward pull. It travels 0.005 meters in the y direction.
vn = 1.60 x108 The electron is travelling at a speed of 2 m in the direction of x.
Time of flight is calculated as t = d/ v, where d is the distance and v is the speed.
t=2m/ 1.60×10⁸ms⁻¹ =1.25×10⁻⁸s
The y-velocity is initially zero.
Currently, an is displacement and y=vnt + 1/2 at2
So, 0.005m= 1/2 a(1.25×10⁻⁸s)
a=6.40×10¹³ ms⁻²
Additionally, a= F/m = eE/m.
E= (9.1×10⁻³² kg)(6.40×10¹³ ms⁻²)
1.60×10⁻¹⁹ C
=364NC⁻¹
Due to its slower acceleration and higher mass, the proton won't hit any plates.To calculate the vertical displacement as the object exits the plates, we once more use the kinematic equations.
y = 1/2at2 = 1/2 eE/mp (1.25 10 8 s)2 = 2.73 10 6 m
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What equation links the resultant force with the change in momentum it produces
Answer:
its B
Explanation:
You need a specific force to change the momentum of something.
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Where would you find the sun on this HR diagram?
A
B
C
D
The Answer Was (A) I Chose It And Got It Correct! I Have Proof For You In The Attachment, Your Welcome! ^_^
Answer:
C
Explanation:
That is where the most heat and light is showing on this diagram.
The sun on this HR diagram is placed at region A. The correct option is A.
What is an HR diagram?
The Hertzsprung-Russell (HR) diagram is a plot of stars that shows their luminosity (or brightness) versus their temperature or spectral type. The HR diagram is divided into several main parts:
Main sequence: This is the prominent diagonal band that extends from the upper left (hot, bright stars) to the lower right (cool, dim stars). The main sequence represents stars that are fusing hydrogen in their cores and is where most stars, including the Sun, spend the majority of their lives.
Giants and supergiants: These are stars that are much larger and more luminous than main-sequence stars, and are found above and to the right of the main sequence. Giants and supergiants are typically older stars that have exhausted the hydrogen fuel in their cores and are in the later stages of their evolution.
White dwarfs: These are the small, dense remnants of stars that have exhausted their nuclear fuel and have shed their outer layers. White dwarfs are found at the lower left of the HR diagram and are the final stage of evolution for stars like the Sun.
Instability strip: This is a narrow region of the HR diagram that includes some of the most variable stars, such as Cepheid variables and RR Lyrae variables. These stars pulsate in size and brightness over a regular period of time, making them useful for measuring distances to other galaxies.
By studying the position of stars on the HR diagram, astronomers can learn about their size, age, temperature, and luminosity, and use this information to develop models of stellar evolution and the history of the universe.
In this question,
The Sun is a main-sequence star, meaning it is in the phase of its life cycle where it is fusing hydrogen in its core to form helium.
On an HR diagram, the Sun falls near the center of the main sequence, which is a diagonal band that extends from the upper left (hot, bright stars) to the lower right (cool, dim stars). The temperature of the Sun is about 5,500°C, which places it in the spectral class G2V.
Therefore, The sun resides in the region of A.
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A ship's wheel has a moment of inertia of 0.994 kilogram·meters squared. The inner radius of the ring is 25 centimeters, and the outer radius of the ring is 35 centimeters. Disagreeing over which way to go, the captain and the helmsman try to turn the wheel in opposite directions. The captain applies a force of 310 newtons at the inner radius, while the helmsman applies a force of 286 newtons at the outer radius. What is the magnitude of the angular acceleration of the wheel? Include units in your answer. Answer must be in 3 significant digits.
Given,
The moment of inertia of the wheel, I=0.994 kg·m²
The inner radius of the ring, r=25 cm=0.25 m
The outer radius of the ring, R=35 cm=0.35 m
The force applied by the captain, F=310 N
The force applied by the helmsman, f=286 N
The torque is the measure of the rotation caused by an applied force.
The torque of the wheel is given by,
\(\tau=fR-Fr=I\alpha\)Where α is the angular acceleration of the wheel.
On substituting the known values,
\(\begin{gathered} 286\times0.35-310\times0.25=0.994\times\alpha \\ \Rightarrow\alpha=\frac{286\times0.35-310\times0.25}{0.994} \\ =22.7\text{ rad/s}^2 \end{gathered}\)Therefore the angular acceleration of the wheel is 22.7 rad/s²
According to Hooke’s law, if you hang by a tree branch and note how much it bends, then hanging with twice the weight
a. Bends the branch four times as much
b. Produces the same bend if the branch doesn’t break
c. Normally produces twice the bend
d. Produces half the bend
Hooke's law states that when a spring is elongated, it exerts a force that is proportional to its extension. When an object is stretched or compressed, the amount it is stretched or compressed is proportional to the force applied to it. The distance an object is stretched or compressed is proportional to the weight or force that is applied to it.
Therefore, when you hang from a tree branch and note how much it bends, you can calculate the amount of weight that was applied. If you then hang with twice the weight, the branch will normally produce twice the bend, according to Hooke's law. Hence the correct option is c. Normally produces twice the bend.
It is important to note that this is an ideal scenario, and the actual amount of bending can vary depending on various factors such as the elasticity and strength of the branch, as well as external conditions like wind and temperature. Additionally, when the weight exceeds the limit of the branch, it will break regardless of the amount of bend.
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Objects in orbit about Earth are always under the influence of the force of gravity and due to their constant velocity, maintain their orbit. And yet, the force of gravity does no work on objects in orbit. Why
The force of gravity does no work on objects in orbit because the gravitational force and the object's displacement are always perpendicular to each other.
In physics, work is defined as the product of the force acting on an object and the displacement of the object in the direction of the force (W = Fd*cos(θ)), where θ is the angle between the force and displacement vectors.
In the case of objects in orbit:
1. The gravitational force is always directed towards the center of the Earth.
2. The object's displacement, as it moves in orbit, is always tangential to its circular path.
As a result, the angle between the gravitational force and the object's displacement is always 90 degrees (perpendicular). Since the cosine of 90 degrees is zero (cos(90°) = 0), the work done by the gravitational force on an object in orbit is also zero (W = Fd*cos(90°) = Fd*0 = 0). This is why the force of gravity does no work on objects in orbit.
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