0.382N⋅m torque will this engine develop if you run it at 2500 rpm.
What is torque ?Torque refers to a measure of the force that run an object around an axis. Torque causes an object to undergo angular acceleration in the same way that force accelerates an object in linear kinematics. Torque is a vector quantity. Opening a bottle cap or turning a handle are examples of torque. Consider the formula Torque = Force x Displacement. Distance is measured in meters and force in Newtons, while torque is measured in Newton-meters.In other words, torque is the cross product between the distance vector (the distance from the fulcrum to the point where the force is applied) and the force vector, and 'a' is the angle between r and F.To learn more about torque from the given link :
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einstein's theory of general relativity predicts that, group of answer choices time appears to slow for moving objects. stars should collapse into black holes. gravity is caused by curved spacetime. lengths appear to contract for moving objects.
According to Einstein's general theory of relativity, curved spacetime is what causes gravity.
Why does gravity have a force?However, gravity a force in the broadest sense since it defines the interaction that results when two masses are in close proximity to one another. The warping of spacetime and also the motion of things through the stretched spacetime are the primary causes of gravitational effects. It appears as though a force was exerted towards the end, though.
What causes gravity?With the publication of his general theory of relativity in 1915, Albert Einstein provided the solution. All mass-bearing things, such as the Earth, really bend and curve spacetime, which is what causes gravity to draw you toward the earth. You experience gravity because of its curvature.
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at a particular instant a proton is traveling in the x direction, with speed 5105 m/s. at the location of the proton there is a magnetic field of magnitude 0.33 t in the y direction, due to current running in a nearby coil.what is the directio
The proton would move in x direction with a force of 2.64 x 10 power minus 4
Force = q ( v x b)
q = 1.6 x 10 -19 C
v = 5 x 10 power 5
b = 0.33 t
F = 1.6 x 10 -19 x 5 x 10 power 15 x 0.33
F =2.64 x 10 power minus 4
What is a magnetic field?
The magnetic field can be defined as an area around a magnet which exerts magnetic force and is caused by moving electric charge. Field lines are a visual tool used to represent magnetic fields.
Properties of Magnetic field are;
Magnetic field lines never intersect each other.It takes the least resistant path between the opposite magnetic poles. Path of magnetic lines of force of a bar magnet is closed loops from one pole to the other.The length of magnetic field lines will be the same.Hence in the given question proton would move in x direction with a force of 2.64 x 10 power minus 4
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If a car collides with a moving bus, what type of relationship exists between the force of the car and the force of the bus?.
Equal but in opposing directions, forces of the car and the force of the bus.
Given that both objects are moving, you can be sure that the collision is elastic and that the forces involved in the collision between the bus and the car will be equal.
Without force, objects cannot be moved, stopped, or changed direction. Force can be defined as the pushing or pulling of any object as a result of the object's interaction or movement. In nature, there are various types of forces that interact quantitatively between two physical bodies, such as an object and its surroundings. If an object is in motion or in a static state, the position of the object can only be changed by an external force—referred to as force—pushing or pulling against it. The various types of contact force include spring force, applied force, air resistance force, normal force, tension force, friction force, and others that are generated when we exert some effort on an object. Non-contact forces, which include electromagnetic, gravitational, and nuclear forces, are another category of forces that exist at a distance.
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The chart below shows information about three stars.
Name of Star Beginning of life cycle End of life cycle
Star 1 nebulae white dwarf
Star 2 nebulae neutron star
Star 3 nebulae black hole
Which of these statements is most likely correct about the three stars?
They do not emit energy.
They do not have the same initial mass.
They are made of the same materials.
They have the same quantity of elements.
The most likely correct about the three stars is: They do not have the same initial mass.
What is Chandrasekhar limit?The Chandrasekhar limit is established at a mass where the gravitational field's self-attraction cannot be balanced by the pressure from electron decay. The limit that has been established these days is 1.39 solar mass.
Hence, stars of average masses ends by forming white dwarf or neutron star but massive stars ends their life by forming black hole. Hence, They do not have the same initial mass.
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The larger the frequency of a photon of light, the _______ the energy of the photon.
The larger the frequency of a photon the larger , the energy of the photon.
A phantom is a particle representing a quantum of light or another electromagnetic radiation such as light and radio waves and the force carrier for the electromagnetic force.
The reason why the larger the radiation e frequency the larger the energy of the photon is the photon carries energy proportional to the radiation frequency but has zero rest mass.
The photon travels at the speed of light in a vacuum, it is said to be massless as it is an elementary particle whose invariant mass is zero.
Photons have no mass their kinetic energy is equals to their total energy
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AP Physics Help. 13 points!!
There have 3 forces acting on the helicopter.
There have 2 forces acting on the load.
Magnitude of net force = 200 N.
Magnitude of acceleration of the system = 0.0833 m/s².
The speed of the system is increasing.
Given parameters:
Mass of the helicopter, M = 2000 kg
Mass of the load; m = 400 kg
Thrust force; F = 26000 N.
Hence, there have 3 forces acting on the helicopter: weight of the helicopter, weight of the load, and thrust.
There have 2 forces acting on the load: weight of the load and thrust.
Total mass of the system = M +m = 2000 kg + 400 kg = 2400 kg.
Magnitude of net force = Thrust - weight of the system
= F - (M + m)g
= 26000 - (2000 + 400) × 10
= 200 N.
Magnitude of acceleration of the system = Magnitude of net force / Total mass of the system
= 200/2400 m/s².
= 0.0833 m/s².
Hence, the speed of the system is increasing.
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which of the following would increase the magnitude of the centripetal force acting on an object traveling in a horizontal, circular path? select two correct answers.
The magnitude of the centripetal force acting on an object traveling in a horizontal, circular path is increases mass, velocity and radius of the path.
centripetal force:
It is a type of force which acting on a object on circular path that keeps the object moving on that path.
Centripetal force is calculated as:
F = 1/2(mv²)
where,
F = centripetal force
m = mass of the object
v = velocity of the object.
From the above relation centripetal force is directly proportional to the mass and velocity and inversely proportional to the radius.
The given question is incomplete. The complete question is
Which of the following would increase the magnitude of the centripetal force acting on an object traveling in a horizontal, circular path?
The magnitude of the centripetal force acting on an object traveling in a horizontal, circular path is increases mass, velocity and radius of the path.
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A 1.0 kg cart is moving with a speed of 12 m/s when it bounces off of a wall. It bounces off and moves in the opposite direction with the same speed. What was the change in momentum of the cart?
The change in momentum of the cart is 24 kg⋅m/s.
What is momentum?
A particle's linear momentum, p, when it is travelling at a certain speed is described as
p = mv
The linear momentum is a vector quantity.When two objects collide, a force is applied for a predetermined period of time, changing the momentum of the item. When a force acts for a predetermined period of time, the object's mass either increases or decreases (or changes direction).
The change in momentum of the object is equal to the impulse it experiences. F • t = m • v is an equation.When two objects collide, they both experience an impulse, which both causes and is equal to the change in momentum.Elastic collisions occur when two objects collide and then rebound with the same speed (and, consequently, momentum, and kinetic energy) as they did before the collision.Given in the question,
Mass of the cart = 1.0 kg
Initial velocity of the cart, vi = 12 m/s
Final velocity of the cart, vf = 12 m/s
The magnitude of the cart's momentum change is
Δp= m∣νi − νf∣
= (1 .0 kg)∣(12.0m/s)−(−12.0m/s)∣
= 24 kg⋅m/s.
Hence, The change in momentum of the cart after collision with the wall is 24 kg⋅m/s.
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a charged particle of mass 0.0090 kg is subjected to a 6 t magnetic field which acts at a right angle to its motion. if the particle moves in a circle of radius 0.1 m at a speed of 3 m/s , what is the magnitude of the charge on the particle?
The magnitude of the charge on the particle q= 4.5 X 10 -2 C
What is the magnitude of charge on the particle?
Charge can be defined as a physical property that leads matter to experience a force within an electromagnetic field
If a non-zero magnetic force acts on a charged particle, then the particle will move along a circular or a helical path. It requires the presence of centripetal force to act on the particle, provided by the magnetic force on the particle.
The radius of the circular or helical path of the particle will depend upon the charge carried by the particle, the strength of the magnetic field, and the mass of the particle, and velocity will be perpendicular to the magnetic field.
The mass of the particle , m = 0.0090kg =
9.0 ×10 − 3kg
The speed of the particle, v = 3.0m/s
The magnitude of the magnetic field,
B = 6.0T
The radius of the circular path,
r = 0.10 m
The uniform magnetic field is given by the following equation:
r = mv / qB
Here,
q = mv / rB
q = 9.0 x 10 -3 kg X 3.0 m/s / 0.10 X 6
q= 4.5 X 10 -2 C
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what best describes the part of the graph where the classical kbos are found? eccentric (out-of-round) orbits that stay farthest from the sun eccentric (out-of-round) orbits that get closest to the sun nearly circular orbits that stay farthest from the sun nearly circular orbits that get closest to the sun
The statement that best describes the part of the graph where the classical (Kuiper Belt Objects)kbos are found is "nearly circular orbits that stay farthest from the sun".
What are Kuiper Belt Objects?
The Kuiper belt object is described as a circumstellar disc in the outer Solar System, extending from the orbit of Neptune at 30 astronomical units (AU) to approximately 50 AU from the Sun.
The Kuiper belt object like the asteroid belt, consists mainly of small bodies or remnants from when the Solar System formed. While many asteroids are composed primarily of rock and metal, most Kuiper belt objects are composed largely of frozen volatiles (termed "ices"), such as
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a car is traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration of 24 ft/s2. what is the distance (in ft) traveled before the car comes to a stop? (round your answer to one decimal place.) 52.1 incorrect: your answer is incorrect. ft
One of the key areas of science is the study of acceleration and deceleration. Any object's rate of changing velocity is referred to as its acceleration, and a negative acceleration value is referred to as deceleration.
Using beginning velocity of 50 miles per hour,
It's going to
Final speed: 73.33 ft/s, v = 0, and a2: -22 ft/s2.
Utilize the formula: v2 = v0 + 2as
n 0 = 5377.29 + (-44) s
s =5377.29/44 = 122.21 ft
v2 = u2 + 2as is the third equation of motion. We are already aware that distance is equal to average velocity times time. Either v2 = u2 + 2as or 2as = v2 - u2. The third equation of motion connects the particle's final velocity (v), initial velocity (u), constant speed (a), and displacement (S).
Speed is defined as the ratio of distance travelled to the amount of time required to cover that distance.
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some objects absorb all light and do not release any for us to find. how do we detect an object that is not releasing any light? how do we find it?
Since the majority of objects in the world do not emit their own light, they must reflect light in order to be seen. The walls of the room you are in reflect the light from the overhead ceiling "lights," not producing any of their own light.
We can only see when light is emitted from the things and strikes our eyes. Some objects, which do not all have the ability to emit light on their own, reflect light. We perceive an object when light strikes it and is reflected back to us by the object's surface.
what is reflection?
Light rays' direction changes and they turn around when they hit an item. This is referred to as light reflection. Incident rays are any rays that land on a surface. The point of incidence is the location at which an incident ray falls.
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Since the majority of objects in the world do not emit their own light, they must reflect light in order to be seen. The walls of the room you are in reflect the light from the overhead ceiling "lights," not producing any of their own light.
What is reflection?
Light rays' direction changes and they turn around when they hit an item. This is referred to as light reflection. Incident rays are any rays that land on a surface. The point of incidence is the location at which an incident ray falls.
We can only see when light is emitted from the things and strikes our eyes. Some objects, which do not all have the ability to emit light on their own, reflect light. We perceive an object when light strikes it and is reflected back to us by the object's surface.
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Describe what is occurring in the following image
a rod-shaped magnet is suspended from its midpoint so that it is parallel to the ground and so that it can freely rotate. what will happen when two such magnets are placed in close proximity (but not close enough that they can touch)? will they align in a parallel or anti-parallel configuration?
Both rod-shaped magnets will align in a parallel configuration as similar poles and the magnetic field will repel each other.
What are Magnets?Anything that creates a magnetic field is considered to be a magnet. The most noteworthy characteristic of a magnet—a force that pulls on other ferromagnetic elements like iron, steel, nickel, cobalt, etc.—is caused by this invisible magnetic field, which also attracts or repels other magnets.
A piece of equipment built from a substance that has been magnetized and produces a consistent magnetic field is called a permanent magnet. A typical illustration is a fridge magnet used to keep notes on the door of the refrigerator. The term "ferromagnetic" refers to materials that can be magnetized and are also strongly attracted to a magnet. These comprise several naturally occurring minerals, some alloys of rare-earth metals, and the elements iron, nickel, and cobalt and their alloys.
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James has an old kettle with a power rating of 1. 4 kw. He buys a new kettle with a power rating of 2. 0 kw. How does this affect the time it takes to boil a fixed volume of water?.
The old kettle with a power rating of 1.4kw, and the one with a power rating of 2.0kw. With this condition, this will affect the time it takes to boil a fixed volume of water quicker than before.
In electrical engineering and mechanical engineering, the power rating of equipment is the highest power input allowed to flow through particular equipment. According to the particular discipline, the term power may refer to electrical or mechanical power.
How does power rating affect the time it takes to boil a fixed volume of water?
Since, the power rating is higher, logically it has higher power than before. Since it is a fixed volume of water, so the only difference is power rating. With greater power, it will take shorter amount of time to boil the same water by volume.
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listed following are characteristics of the atmospheres of venus, earth, and mars. match each atmospheric characteristic to the appropriate planet.
Runaway greenhouse effect caused by Venus' sulfuric acid clouds and lack of surface winds.The majority of the Earth's atmosphere is composed of nitrogen.The atmosphere of Mars is very thin.
The layers of gas that surround and are held in place by a planet's gravitational pull make up the atmosphere of that planet. When the atmosphere's temperature is low and its gravity is strong, a planet can maintain its atmosphere. The gaseous layers encircling a planet or other celestial body are known as its atmosphere. About 78% of the atmosphere on Earth is made up of nitrogen, 21% of it of oxygen, and 1% of other gases. Depending on temperature, the atmosphere is made up of layers. Tropospheric, stratospheric, mesospheric, and thermospheric layers make up this system. The exosphere is a further zone located around 500 kilometers above the surface of the Earth. The atmosphere is the name given to the cloud of air that envelops the planet.
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Give one concrete example of the following concepts in relation to your daily routine at home.
1. Law of Inertia
2. Law of Acceleration
3. Law of Interaction
4. Work and Power
5. PE to KE
6. Sound and Light
7. Heat and Electricity
Answer:
Example for 1. Law of Inertia
Falling forward while getting down from a moving bus:
When a passenger gets down from a moving bus, their upper body is still in motion, and when it comes in contact with the ground which is at rest, their body topples forward due to the inertia of motion.
Example for 2. Law of Acceleration
Hitting a Ball:
A ball develops a certain amount of acceleration after being hit. The acceleration with which the ball moves is directly proportional to the force applied to it. This means that the harder you hit the ball, the faster it will move
Example for 3. Law of Interaction
Walking:
Whenever people walk, their foot exerts a force on the ground. The ground then exerts an equal force which points in the opposite direction. It is this force (force due to friction) that allows the person to move forward.
Example for 4. Work and Power
As P=F.v
Cycling:
A person riding a bicycle possesses some amount of energy. This energy is utilized by the cyclist to do work on the paddles of the bicycle by applying some force and enabling the bicycle to move forward.
Example for 5. PE to KE
An apple hanging on a tree:
It has the potential energy due to its raised position. When the apple falls from the tree. The falling apple has the kinetic energy. Thus the potential energy stored in the apple in its raised position changes into the kinetic energy when the apple is falling. This kinetic energy does work on stone as the apple strikes the stone, and it makes the stone to move into the ground.
Example for 6. Sound and Light
TV:
We see TV takes electrical energy as input and produces. light energy, sound energy.
Example for 7. Heat and Electricity
The electric heaters:
An electric heater is an electrical device that converts an electric current into heat.
Can you also give me 3 problems Mark Watney Face In The Martian and how he solved?please give some explanation for each of one.
Three problems faced by Mark Watney are :
The first major problem Watney faces is getting stranded and wounded on Mars. The second problem Watney faces is how he is going to survive on mars till help can come. The final problem he faces is how is he going to get to Ares, so he can leave Mars.What did Mark Watney do on Mars?
Mark Watney was also selected to perform experiments on plant growth using Martian Soil and Martian gravity.
Why was Mark Watney left on Mars?
Watney gets stranded on the Red Planet when a massive dust storm gravely injures him and forces his crewmates to escape, leaving him dead.
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Why is gas production not recognized as nitrate reduction when the organism is a known fermenter.
There are other gases produced during fermentation such as carbon dioxide. There are other possible gases produced by the organism during fermentation.
There are different gases produced during fermentation such as carbon dioxide. Certainly the gasoline produced can not be considered from nitrate reduction. Seeing that, there are different viable gases produced via the organism at some stage in fermentation.
Fermentation is a metabolic method that produces chemical modifications in natural substrates via the motion of enzymes. In biochemistry, it's far narrowly defined as the extraction of strength from carbohydrates inside the absence of oxygen.
This is a -step method, the first step is the formation of ethyl alcohol from sugar anaerobically using yeast. Inside the second step, ethyl alcohol is similarly oxidized to shape acetic acid the use of acetobacter micro organism. Microbial oxidation of alcohol to acid is an aerobic manner.
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if an oncoming vehicle has started to turn left in front of you: choose one a. honk your horn to warn the driver and maintain your speed. b. maintain your speed and take your right-of-way c. slow or stop your car to prevent a collision
Option B is correct. Except where a sign expressly states that you may not turn left at a red light, we are permitted to do so.
Give way to oncoming traffic, including pedestrians, when making a turn. When the signal is switching from green to red, the amber light allows time for vehicles to clear the road. Make sure there is enough space for approaching cars to pass. Look both ways for oncoming traffic or pedestrians before making any turns. You should turn from the lane that is closest to the direction you want to go and into the lane that is closest to the one you came from if there are no signs or lane markings to control turning.
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the visible surface of the sun is composed of solid matter.
a. true
b. false
This statement is FALSE, the visible surface of the sun is composed of solid matter.
The sun is made totally out of plasma, the fourth nation of depending after gasoline, liquid, and strong, and the most energetic. As you could consider, the sun is tremendously hot. It varies among nine,900-27,000,000°F in temperature among the “surface” (the outer limb of its environment where it becomes obvious to light as opposed to opaque), and the middle.
Unlike the gasoline massive planets, which probably have a strong middle, the sun is made nearly out of hydrogen and helium, the lightest of all the elements, and at no point, internal should either of those exist as a solid at the one’s temperatures, despite the awesome pressures that exist in the solar. It’s plasma all the way down, even at the center where the density is ten instances that of gold.
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a radio can be tuned into a particular station frequency by adjusting the capacitance in an l-c circuit. suppose that the minimum capacitance of a variable capacitor in a radio is 4.14 pfpf . part a what is the inductance lll of a coil connected to this capacitor if the oscillation frequency of the l-c circuit is 1.67 mhzmhz , corresponding to one end of the am radio broadcast band, when the capacitor is set to its minimum capacitance? express your answer in henrys to three significant figures.
1.08* is the inductance L of a coil connected to this capacitor if the oscillation frequency of the l-c circuit is 1.67 mhz.
What is a Capacitor?A capacitor is a device that uses the accumulation of electric charges on two nearby surfaces that are electrically isolated from one another to store electrical energy in an electric field. It has two terminals and is a passive electrical component. Capacitance refers to a capacitor's effect.
What is a I-c circuit?An L-C circuit is a type of electric circuit that consists of a capacitor and an inductor coupled together. It is also known as a tuned circuit, tank circuit, or resonant circuit.
The inductance is found from the resonant frequency formula :
ω2= (2πf)2 =1/LC=L=1/(2πf)2C
So, L=1/(2π1.67*106hz)(4.14*10-12F)
L=1.08*[tex]10^{-5}[/tex]
Hence, 1.08*[tex]10^{-5}[/tex] is the inductance L of a coil connected to this capacitor if the oscillation frequency of the l-c circuit is 1.67 mhz.
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two cars travel towards one another. car a travels at a speed of 30 mph to the right (the positive x direction). car b travels at 10 mph to the left. let vab be the velocity of car a as seen by the driver of car b (i.e. the velocity of a relative to b). vba is the the velocity of
-20 mph is the the relative velocity of vba
Va=30 mph
Vb=10 mph
Vab= Vb - Va = 20 mph
Vba=Va - Vb= -20 mph
An object's relative velocity is the speed at which it moves in relation to another object. It serves as a method of determining how swiftly two objects are traveling with respect to one another. Relative velocity is essential to comprehending physics because it helps us grasp how objects move and interact with one another. Relative velocity can be estimated for a variety of interactions. An object's relative velocity is the speed at which it moves in relation to another object. It serves as a method of determining how swiftly two objects are traveling with respect to one another. Relative velocity is essential to comprehending physics because it helps us grasp how objects move and interact with one another.
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What is brewster’s angle for light traveling in water that is reflected from crown glass?.
The correct answer to Brewster’s angle is 48.8 degrees.
What is Brewsters's law?
The Brewster's angle is the angle of incidence at which polarised light travels perfectly through a clear dielectric surface without being refracted. The light that is reflected from the surface when unpolarized light is incident at this angle is therefore perfectly polarised.
This equation's name is Brewster's law, and the angle it specifies is Brewster's angle. For a glass medium in air, Brewster's angle for visible light is around 56° (n2 = 1.5), while it is roughly 53° for an air-water interface (n2 = 1.33)
Brewster's Angle is defined as the inverse tan of n 2 over n 1. The inverse tan of 1.52 divided by 1.33 is thus 48.8 degrees.
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Which of the statements about the protonephridia of freshwater flatworms is accurate?
a. Muscular contractions drive fluid movement through the excretory tubules.
b. The fluid passing through the tubules is not modified before excretion.
c. Protonephridia are surrounded by a capillary network to allow for selective reabsorption and secretion.
d. The urine leaving the body of a freshwater flatworm is more concentrated than its body fluids.
e. Fluid from the body enters the protonephridia without first being filtered.
Using the theories of protonephridia, we got that the statements about the protonephridia of freshwater flatworms which is accurate is e)Fluid from the body enters the protonephridia without first being filtered.
The flame cell is a specialized excretory cell found in the simplest freshwater invertebrates, including flatworms, rotifers, and the nemerteans. Bundles of the flame cells are called Protonephridia. Protonephridia helps in the osmoregulation or ion-regulation. They are also helpful in the excretion.
Protonephridium is the network of dead-end tubules lacking internal openings found in the phyla Platyhelminthes, Nemertea
Hence, the the statements about the protonephridia of freshwater flatworms is accurate is option e) Fluid from the body enters the protonephridia without first being filtered.
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A wavelength of 510nm corresponds to an approximate frequency of 6×1014s−1. What is the approximate energy of one photon of this light?.
The energy emitted by a photon is equal to 7,72 × 10⁻¹⁰ J.
To answer this sola we use the photon energy formula:
E = h(c/λ)
Where:
Wavelength: λ = 510 nm = 5.1 x 10⁻¹⁰ mApproximate frequency: c = 6 × 10¹⁴ Planck'sconstant: h = 6.6 × 10⁻³⁴ JsOnce the values are known, enter them into the formula:
E = h(c/λ)
[tex]E = 6,6 * 10^{-34} \frac{6*10^{14} }{5,1 *10^{-10}}[/tex]
[tex]E = 6,6 * 10^{-34}(1,17 *10^{24})[/tex]
[tex]E = 7,72*10^{-10} J[/tex]
So, we can conclude that the approximate energy of one photon of this light is 7,72 × 10⁻¹⁰ J.
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the two charges are brought together until they touch for enough time for the charge to equalize between the two spheres. the charges are then returned to their original places. what is the repulsive force on each charge with their new charges?
Coulomb force, also known as electrostatic force or Coulomb interaction, is the electric charge of a particle or object's ability to attract or repel other particles or things.
What exactly is a Coulomb force?The force of force of attraction between two like it or unlike charges is known as the Coulombic force or an electrostatic force. The two charges are spaced apart and have opposite charges with equal magnitude.
What example of coulomb's law is there?Comb and paper scraps When a comb is scraped against hair, charges are transferred to the teeth of the comb. Paper scraps with opposite charges or those with neutral charges are drawn to the charged comb. Coulomb's law is well shown by the electrical interaction between both the paper fragments and the comb.
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this question has several parts that must be completed sequentially. if you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. tutorial exercise a boat leaves a dock at 6:00 pm and travels due south at a speed of 20 km/h. another boat has been heading due east at 15 km/h and reaches the same dock at 7:00 pm. how many minutes after 6:00 pm were the two boats closest together?
The boats were closest together for approximately ; 22 minutes
What is velocity?
Velocity is the directional velocity of a moving object, observed from a given frame of reference and indicating the rate of change of position measured at a given time reference (eg 60 km/h northward). Velocity is a fundamental concept in kinematics, a branch of classical mechanics that describes the motion of bodies.
Velocity is a physical vector quantity. The scalar absolute value (magnitude) of velocity is called velocity, and its magnitude is a consistent derived unit measured in the SI (metric) system as meters per second (m/s or m⋅s−1). For example, "5 meters/second" is a scalar, but "5 meters/second east" is a vector. An object is said to be accelerating if its velocity, direction, or both change.
Time After 6 pm = t
Speed of boat 1 travelling south wards after 6 pm ( t ) = 20 t
Speed of boat 2 traveling east after 6 pm = 15 t
Distance of Boat 2 from Dock = 15 - 15 t
Distance of Boat 1 = 20t
∴ The distance between the boats
= ( 15 - 15 t )² + ( 20t )² = D * 2 ----- ( 1 )
Differentiating equation ( 1 ) ( note : make dD/dt = 0 )
2( 15 - 15 t )* (-15) + 2 (20t)*(20)
make t subject of the expression
t = 9 /25
= 0.36 h ≈ 22 minutes
Hence we can conclude that The boats were closest together for approximately ; 22 minutes
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Radiation dosage is commonly measured in
A) rads.
B) rems.
C) joules.
D) none of the above
Radiation dosage is usually measured in rads.
What is radiation damage?When ionizing radiation enters a human body or object, it stores energy. The energy absorbed by exposure to radiation is called dose. Radiation dose size is expressed in three ways: absorbed, equivalent and effective.
The energy absorbed by the human body after being exposed to radiation is called the absorbed dose. Absorbed dose is measured in units called Grays (Gy). A dose of 1 Gray corresponds to 1 Joule of energy stored in 1 kilogram of matter. Radiation has always been around us. In fact, life evolved in a world containing significant amounts of ionizing radiation. It comes from space, earth, and even from within our own bodies. Natural background radiation doses vary by location and habits.
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a cube of wood having an edge dimension of 18.9 cm and a density of 649 kg/m3 floats on water. (a) what is the distance from the horizontal top surface of the cube to the water level?
The density of the wood from the floor is 2.8 kg.
What is buoyancy force?
A thing's propensity to float in a liquid is called buoyancy. When there is gravity present, all liquids and gases pull anything submerged in them upward with a force known as the buoyant force. An object submerged in a static fluid will float because of the pressure differences acting on its opposing sides.
What is density?
The definition of density for a solid substance is its mass per unit volume. The equation for density is d = M/V and stands for density, mass, and volume. Density is commonly measured in grammes per cubic centimeter.
Apply particle in equilibrium model, to the system of the wood cube and lead block in the vertical direction.
∑fy= B-m wood* g-mg=0
we know
B(buoyant + force)d water L^3 g
Where L^3 is the volume of displaced water
d water L^3 g- m wood*g-mg=0
now density (d)= mass(m)/volume(v)
d water L^3- d wood L^3- m =0
solve for m
m= d water L^3- d wood L^3
m=(d water- d wood) L^3
m=(1-0.65)(20)^3
m=2.8 kg
Therefore, density of the wood from the floor is 2.8 kg.
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