The magnitude of the emf E is 0.0047 V, The Direction of the induced current is clockwise.
What is Emf and current?
In electromagnetism and electronics, an electromotive force is an energy transfer to an electric circuit per unit of electric charge, measured in volts. Devices called electrical transducers to provide an emf by converting other forms of energy into electrical energy.
An electric current is a stream of charged particles, such as electrons or ions, moving through an electrical conductor or space. It is measured as the net rate of flow of electric charge through a surface or into a control volume.
induced emf e = dphi /dt
so we need an expression for phi = BA = Bpi r^2
and since circumference C = 2 pi r,
we can write that as phi = BA = B* pi (C^22/4 pi^2 2)
phi = BC^2/ 4p
Therefore d phi /dt = (BC/2pi ) (dC/dt)
since we know C is a function of t.
after 8 seconds, the circumference is 160 - 9*15 = 25 cm.
= (0.8)(0.25/2*3.14) )(0.15)
Emf= 0.00477 V or 4.77 mV
-----------------------------------------------
induced current I = emf/R (direction is clockwise)
Hence, the magnitude of the emf E is 0.0047 V and the Direction of the induced current is clockwise.
To learn more about the current and EMF the link is given below:
https://brainly.com/question/18883136?
#SPJ4
a skateboarder is trying to skate horizontally off a building and jump over a pool as shown! the pool is 10.0m wide and the roof of the building is 12.0m above where he will land. neglect drag.
a)2.56s long will the skateboarder remain in the air.
b)The skateboarder need to barely clear the pool 9.77 m/s.
What is speed ?The speed at which an object's location changes in any dimension. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Given that it just has a path and no amount, speed is still a scalar number.
Briefing:a)Width of the pool, d= 10 m
Height of the building, h = 12 m
h = v₀t + 1/2 gt²
h = 0 + 1/2 gt²
gt² = 2h
t = √2h/g
t = √ 2 * 12 / 9.8
t = 2.56s
b)The skateboarder's required beginning speed to clear the pool is calculated as follows:
v = d /t
v = 10 / 2.56
v = 9.77 m/s
To know more about Speed visit:
https://brainly.com/question/28224010
#SPJ4
The complete question is -
A skateboarder is trying to skate horizontally off a building and jump over a pool as shown! The pool is 10.0m wide and the roof of the building is 12.0m above where he will land. Neglect drag.
a)How long will the skateboarder remain in the air?
b)With what initial speed (in given units) does the skateboarder need to barely clear the pool?
What are the types of context clues that you can use to determine the meaning of an unfamiliar?.
Contextual hints can help in this situation. Students can use words or groups of words to identify the meaning of an unknown word in any passage by learning context clues.
Use context cues, as we frequently suggest! You should look up an uncommon word in a dictionary to confirm its definition after using context cues to discover what it means.
After considering a word's context, I would advise seeking up the word's definition in a dictionary and to ascertain its official definition, that is, its denotation or literal meaning. But as for its connotation, or whether it has a positive or negative meaning, that most likely stems from the way it is.
To know more about Contextual
https://brainly.com/question/4410646
#SPJ4
A long solenoid has 100 turns/cm and carries current i. An electron moves within the solenoid in a circle of radius 2.80 cm perpendicular to the solenoid axis. The speed of the electron is 0.056 c (c = speed of light). Find the current i in the solenoid.
substitute with the givens to get:
\begin{align*} I&=\dfrac{3.41 \times 10^{-3} \mathrm{~T}}{(4\pi \times 10^{-7} \mathrm{~T\cdot m/A})(10000 \mathrm{~turn/m})}\\ &=0.271 \mathrm{~A} \end{align*}
I
The solenoid's current is 0.272A.
solved from this equations, I=/[tex]\frac{3.41×10⁻³T}{(4π×10⁻⁷T⋅m/A)(10000 turn/m)}[/tex]
Which current do you refer to?Electrical charge carriers, such as electrons, flow as current. From negatives to positive points, current flows. The amperage seems to be the SI unit of measurement for alternating energy (A). One make this process of electrical current traveling through a specific place for one second is refereed to as one amperage of power.
Why am I being used in current?Current is typically represented by the letter I, which comes from the French term intensité du courant (current intensity). The term "current" is frequently used to refer to current intensity. André-Marie Ampère, who gave the electric current unit its name, formulated his force law using the I symbol (1820).
To know more about Current visit:
https://brainly.com/question/13076734
#SPJ4
If we continue heating a piece of initially room-temperature metal in a dark room, what will be its first visible color?.
Answer:
Red is the longest of the visible wavelengths.
One would see red first
The visible spectrum can be characterized by "ROY G BIV".
Or
Red-Orange-Yellow-Green-Blue-Indigo-Violet
From the longest wavelength to the shortest (7000-4000 Angstroms)
assuming that the x-axis tick marks will be separated by 1.0 units (0, 1.0, 2.0, and so on), what is the largest value that should appear on the x-axis?
Assuming that the x-axis tick marks will be separated by 1.0 units (0, 1.0, 2.0, and so on), the largest value that should appear on the x-axis: is 14.0.
An x-axis is one of the axes of a - or 3-dimensional graph. The x-axis is the horizontal plane of a graph in a Cartesian coordinate device, which gives a numerical price to every point alongside the horizontal x-axis, as well as the vertical y-axis (in a two-dimensional graph).
A Cartesian coordinate machine in a plane is a coordinate gadget that specifies every factor uniquely via a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length.
Learn more about the x-axis here:
https://brainly.com/question/13294151
#SPJ4
briefly describe how differences in composition among the jovian planets can be traced to their formation.
Jovian planets formed in the outer solar system, where it was cold enough for hydrogen compounds to condense into ices. This caused them to grow to large size - left to gravity, it drew in hydrogen & helium gas. Thus differences in composition stem from the amount of hydrogen and helium gas they captured.
What are Jovian planets ?The Jovian planets lack solid surfaces, in contrast to the terrestrial planets that make up our inner solar system Mercury, Venus, Earth, and Mars. Instead, their atmospheres predominantly consist of hydrogen and helium with traces of other gases including methane, ammonia, and water.
Learn more about Jovian planets here:
https://brainly.com/question/13105744
#SPJ4
When using a microscope and the low objective lens is being used then which adjustment can you use?.
When using a microscope and the low objective lens is being used also we use fine adaptation or fine adjustment.
How is the light on a microscope acclimated?
Result for an image Which area of the microscope enables you to change how the slide is deposited in relation to the light source.
On the side of the emulsion(compound) microscope body is where the rheostat control for the microscope is located. generally, it'll be a clump that may be moved clockwise to consolidate the light or counterclockwise to dim it.
The condenser, which is deposited beneath the stage, focuses the light to produce strong, indeed illumination in the area girding the object being seen. Critical illumination is the process of fastening the light source's image via the condenser directly onto the airplane of the instance.
Therefore, When using a microscope and the low objective lens is being used also we can use the fine adaptation or fine adjustment.
Learn more about the Microscope here: brainly.com/question/27127116
#SPJ4
examine the first figure(figure 1), in which you see jackie's spaceship traveling at 1000 km/hr as she throws the baseball at a speed of 100 km/hr . how fast would you say the baseball is going?
You can see the ball travelling alongside Jackie at a rate of 1000 km/h before she throws it.The ball will appear to be going at a speed of 1000 km/h plus 100 km/h, or 1100 km/h, because she tosses in the same direction than you perceive her moving.
How do you define speed?The speed at which an object's location changes in any direction. The helps to guide in comparison to the time it took to cover the distance is how mobility is characterized. Since speed simply has a direction and no magnitude, it is a scalar quantity.
What is speed and what is its unit in physics?The pace at which a distance changes over time is referred to as speed. It has a dimension of time-distance. As a result, the fundamental unit of time and also the basic measure of space are combined to form the Special name of speed. As a result, m/s is the Si derived unit of speed.
To know more about Speed visit:
https://brainly.com/question/6280317
#SPJ4
Liquid X is known to have a lower surface tension and lower viscosity than Liquid Y. Use these facts to predict the result of each experiment in the table below, if you can. experiment predicted outcome 20.0 mL each of Liquid X and Liquid Y are poured through a funnel, and the times t and ly needed to pour each liquid through lx will be greater than ty tv will be less than t lx will be equal to ty It's impossible to predict whether [x or ty wil o y the funnel are measured be greater without more information. mx will be greater than my Wax-coated particles carefully put onto the surface of Liquid X or Liquid Y will stay on the surface, if the particles are small enough. 0 mX will be less than my mx will be equal to my The heaviest mass of particle mx and my that will stay on each liquid's surface without sinking are measured. It's impossible to predict whether mx or m,y will be greater without more information.
Previous question
The time taken by the liquid X to pour into the funnel will be less than the liquid Y.
There are two liquids,
Liquid X and Liquid Y, Liquid X will has a lower viscosity and surface tension than Liquid Y.
The surface tension of a compound is the force of attraction felt by the particles on the liquid surface because of the liquid particle beneath the partcles. While on the other hand, the viscosity of the compound is defined as ability of the liquid to avoid its flow.
Because, Liquid X has less surface tension and viscosity, then it will not avoid the flow in funnel and also the particles of funnel will be less attracted towards the particles of the liquid X,
So, the time taken by the liquid X to pour into the funnel will be less than Liquid Y.
To know more about Surface tension, visit,
https://brainly.com/question/11348644
#SPJ4
A solid sphere of mass 4.0 kg and radius 0.12 m is at rest at the top of a ramp inclined 15ï‚°. it rolls to the bottom without slipping. the upper end of the ramp is 1.2 m higher than the lower end. find the sphere's total kinetic energy when it reaches the bottom.
The total Kinetic energy of sphere is KEtot=47J when the mass= 4.0 kg and radius = 0.12 m.
The regulation of conservation of strength states the whole strength of a closed device is constant. Therefore, strength is neither created nor destroyed, instead, it's miles handiest transformed from one shape to another. The sum of the kinetic strength and ability strength have to be the identical earlier than and after.
As here it is given:
mass=4kg, radius =0.12m. h=1.2m. By conservation of strength, the sum of the kinetic strength and the ability strength on its preliminary state (at rest) is same to the sum of the kinetic strength and ability strength whilst the sector has reached the bottom.[tex]KE1+PE1=KE2+PE2\\0+mgh=KEtot+0KEtot=mgh\\K\\Etot=(4kg)(9.8m/s2)(1.2m)\\KEtot=47kgm2/s2\\KEtot=47J[/tex]Read more about sphere :
https://brainly.com/question/22807400
#SPJ4
What do you predict would happen if you brought a negatively charged balloon next to an uncharged piece of paper?.
The charged balloon sticks to a wall due to electrostatic force between the charged balloon and the wall.
What happens when a charged balloon is brought close to another charged balloon?The negatively charged balloon contains an excess of elections. Like charges repel, so the electrons in the balloon repel the electrons in the paper.Therefore, a part of the paper would gain a slightly positive charge. Opposite charges attract, so the paper would want to stick to the balloon/will follow the balloon.When you bring the balloon near a little piece of paper, the negative balloon repels the electrons in the paper so part of the paper near the balloon is positive. Since positive and negative attract, the paper moves toward the balloon. The negatively charged balloon attracts the paper.When the negatively charged balloon approaches a wall, the negative charges in the wall are repelled (or pushed away). This leaves a positive charge on the wallboard at the spot where the balloon touches.Because electrons are negatively charged, the balloon acquires a net negative charge. The balloon's negative charges are attracted to the positive charges in the can, and so the can rolls toward the balloon. As the balloon is pulled away from the can, the can will continue to roll toward the balloon.Any charged object - whether positively charged or negatively charged - will have an attractive interaction with a neutral object. Positively charged objects and neutral objects attract each other; and negatively charged objects and neutral objects attract each other.To learn more about balloon sticks refer to:
https://brainly.com/question/29577766
#SPJ4
when waves reach shallow water, they are often bent and tend to become parallel to the shore. this process is termed . group of answer choices reflection refraction oscillation translation
In shallow water, waves frequently bend and start to run parallel to the shore. Refraction is the word for this procedure.
How is refraction accomplished?Refraction, which also happens with sound, movement, and other waves, is the bending if light as it passes through transparent materials. Because of this bending brought on by refraction, we are able to make lenses, magnifying glasses, dichroic, and rainbows.
Refraction vs. reflection: what are they?When light strikes a medium on a plane, reflecting is the act of the light reflecting back. Refraction seems to be the process by which a material changes the route that light takes as it passes through it, allowing the light to bend. So, the main distinction between reflection and reflection is this. Mirrors are where this phenomenon typically occurs.
To know more about refraction visit:
https://brainly.com/question/2660868
#SPJ4
What are the 4 main functions of the circulatory system?.
Exchanges carbon dioxide and wastes for the delivery of oxygen and nutrients (such as minerals, vitamins, and glucose) to the body's cells.
What is circulatory, exactly?The circulatory system that transports blood throughout the body and houses the heart. This system assists tissues in receiving enough oxygen, nutrients, and waste products, as well as in eliminating waste.
What is the purpose of circulation?Blood veins in the circulatory system are responsible for moving blood away from and back towards the heart. Blood is transported away from the heart by arteries and returned via veins. Oxygen, nutrients, and hormones are delivered to cells through the circulatory system, which also eliminates wastes like carbon dioxide.
To know more about Circulation visit:
https://brainly.com/question/1626001
#SPJ4
a 48-kg bungee jumper has fallen far enough that her bungee cord is beginning to stretch and resist her downward motion. find the force (magnitude and direction) exerted on her by the bungee cord at an instant when her downward acceleration has a magnitude of 5.2 m/s2. ignore the effects of air resistance.
The force (magnitude and direction) exerted on her by the bungee cord at an instant when her downward acceleration has a magnitude of 5.2 m/s2 is 230.4 N .
The resultant force (F) for Newton's second law is equal to the mass (m) multiplied by the acceleration (a). There are two forces at work: the weight and the force of the bungee cord (Fb). They are moving in the same direction but in opposite directions, hence the resulting force will be their differences
M*g - Fb = M*a
As a result of the downward acceleration, it is -5.2 m/s2.
Fb - 48*10 = 48*(-5.2) (-5.2)
Fb = -249.6 + 480
Fb = 230.4 N
One of the most significant laws in all of physics is Newton's second law. F = ma,
where F (force) and a (acceleration) are both vector values, can be used to represent a body whose mass m is constant. A body is accelerated according to the equation if there is a net force acting on it.
To know more about acceleration, visit:
https://brainly.com/question/12550364
#SPJ4
What can you infer about two soundwaves with identical amplitudes and different volumes?.
Answer:
alternate between constructive and destructive interference .
how do the frequency and wavelength of the electromagnetic radiation change as you move from radio waves to gamma rays in the em spectrum? answer text
Radio waves have the lowest frequencies and longest wavelengths, while gamma waves have the highest frequencies and shortest wavelengths.
What do you understand by electromagnetic spectrum?Range of frequencies of electromagnetic radiation and their respective wavelengths and photon energies is called electromagnetic spectrum. Electromagnetic spectrum describes all kinds of light, including those that humans cannot see.
Most of the light in the universe is invisible to human eyes. The light that we see which is made up of the individual colors of the rainbow, represents only a small portion of electromagnetic spectrum.
Speed is same for all electromagnetic waves but as the frequency increases, wavelength decreases.
To know more about electromagnetic spectrum, refer
https://brainly.com/question/23423065
#SPJ4
the flat bottom boat is traveling at 15 m/s on a lake for which the water temperature is 15 c the length of the boat is 10 m and its width is 2.5 m assume the boundary layer is completely turbulent and take
75 m distance covered by boat when traveling at 15 m/s on a lake for which the water temperature is 15 c .
V=15 m/s
time=5 second
distance=?
velocity=distance/time
distance=velocity×time
distance=15×5
distance=75 m
Distance is the length between two points or items, and it is directionless. Since distance is a scalar attribute, it only takes into account the overall magnitude and ignores the start and end locations. Being a scalar attribute, distance may only be positive or zero; it cannot be the opposite.
Although kilometers (km) and centimeters (cm) or millimeters (mm) can also be used to indicate shorter distances, the meter (m) is the most used unit of measurement for distance. When calculating distance, the letter D is usually used to denote the distance traveled.
To know more about distance visit : brainly.com/question/12626613
#SPJ4
A newly-discovered planet, "Cosmo", has a mass that is 4 times the mass of the Earth. The radius of the Earth is R
e
. If the gravitational field strength at the surface of Cosmo is equal to that at the surface of the Earth, find the radius of Cosmo.
If the radius of Cosmo is equal to 2Re, the gravitational field strength at Cosmo's surface is equal to that at Earth's surface.
What is the Earth's radius?The Earth's radius, as measured by 183 high school students involved in the World Year of Physics project "Measure the Earth with Shadows," is 6563 km, as opposed to the commonly accepted figure of 6371 km for the mean radius.
Is the Earth's radius 6400 kilometres?About ten times as much mass as Mars is the Earth. If an object weighs 200 N on Earth's surface, it will weigh similarly on Mars.
Learn more about Earth’s radius here:
https://brainly.com/question/4865936
#SPJ4
What is classified as primordial and radiogenic heat?.
In contrast to the heat that is still being actively produced by radioactive decay, primordial heat is the heat that the Earth loses as it continues to cool following its initial development.
Primordial and radiogenic heat can be found in the earth's deep core. Radiogenic heat is the thermal energy released as a result of spontaneous nuclear fusion, whereas primordial heat is the internal heat energy built up by planets during their first few million years of evolution.
The internal heat energy that a planet has built up over the course of its first few million years of evolution is known as primordial heat. The energy deposited by falling planetesimals, known as accretion energy, and differentiation energy, are the main sources of the primordial heat.
To know more about primordial heat
https://brainly.com/question/21882270
#SPJ4
the two masses in the figure are released from rest. after mass has fallen , it is moving with a speed of . mass has a mass of an mass has a mass of , and the pulley is frictionless. how much work is done during this time interval by the frictional force on block ?
Two masses m1=5 kg and m2=10 kg, connected by an inextensible string over a frictionless pulley, are moving as shown in the figure. The coefficient of friction of the horizontal surface is 0.15. The minimum weight m1 should be put on top of m2 to stop the motion seen in the image below.
From FBD of mass m1
we get t=5g
to stop the motion T≤μ(m2 +m)g
=>5g≤0.15(10+m)g
=>m≥23.3kg
so the minimum mass that can stop motion is 23.3kg.
Learn more about friction
https://brainly.com/question/24338873
#SPJ4
Greater force over a period of time results in a higher initial jump velocity. This statement reflects which of the following laws? O The Law of Inertia O The Law of Momentum O The Law of Reaction O The Law of Conservation of Energy
Greater force over a period of time results in a higher initial jump velocity. This statement reflects the law of reaction.
The law of reaction states that every action has equal and opposite reaction. This can be explained as, if one body exerts a force on another body, the second body exerts a force on the first body which is equal in magnitude but opposite in direction.
For example, when you walk on the earth, your weight acts in the downward direction. And the same force is applied by the earth on you but this force is in the opposite direction.
This is also explained by Newton's third law of motion.
To know more about law of reaction:
https://brainly.com/question/15314777
#SPJ4
the maximum horizontal distance a boy can throw a ball is 31 m. assume he can throw with the same initial speed at all angles. how high (in m) does he throw the ball when he throws it straight upward?
The maximum horizontal distance a boy can throw a ball is 31 m with a projectile height of 480.5m.
Generally speaking, a projectile with more volume will experience more air resistance, which will shorten the projectile's range. It is important to take into account the projectile's surface because a smooth projectile will encounter less air resistance than one with a rough surface, and irregularities on the projectile's surface could alter its trajectory if they cause more drag on one side than the other. A golf ball's dimples, for example, may actually extend its range because they lessen the amount of turbulence that is created as the projectile travels behind them. The projectile's mass also becomes crucial because a projectile with more mass has more kinetic energy and will therefore encounter less air resistance. The way the projectile is weighted can also have an impact on its trajectory because an unevenly weighted projectile may spin unpredictably as a result of the magnus effect.Height= R²/2 =31²/2 = 480.5mInconsistencies in a projectile's shape and weight distribution usually disappear if it is rotated along its axes of travel.
To know more about projectile -
https://brainly.com/question/28344470
#SPJ4
analyze the cycling of matter and flow of energy within ecosystems through the processes of photosynthesis and respiration
Electrons go from glucose to oxygen during cellular respiration, creating water and release of energy. They move in the other direction during photosynthesis, beginning with water and ending with glucose.
What types of energy are there?Biochemical, electrical, radiant, mechanical, thermal, and nuclear energy are the six main types of energy. Additional forms including electrochemical, acoustic, electromagnetic, and others might be addressed in other studies.
The source of energy.Atomic nuclear processes in the Sun's core produced the power in the atoms. According to physicists, this Big Bang did. The simple answer is that we have always encountered and used energy, and that this has been true since the universe's creation.
To know more about energy visit:
https://brainly.com/question/1932868
#SPJ4
workers building pyramids in ancient egypt needed to move a very heavy stone out of the way of a ramp they were constructing. the best machine they could use to do this work was a .
Workers building pyramids in ancient Egypt needed to move a very heavy stone out of the way of a ramp they were constructing. The best machine they could use to do this work was a sledge.
For the construction of pyramids, the ancient Egyptians had to transport heavy blocks of stone and large statues across the desert. So, the Egyptians placed these heavy blocks on a sledge which was pulled by workers across the sand.
They also used the method of placing the rocks on the tracks made out of tree trunks and rolled the distance.
The stones used in constructing the pyramids were lifted by means of a short wooden scaffold.
To know more about pyramids:
https://brainly.com/question/22745616
#SPJ4
a massive linebacker collides with a smaller halfback at midfield. the force experienced by the linebacker is greater than the force experienced by the halfback. the resulting acceleration of the linebacker is [ select ] the resulting acceleration of the halfback.
The answer to the first blank is equal to and the second blank is less than.
How is force and acceleration related ?The acceleration of an object rises proportionally to the force applied to it. We can state that force and acceleration are identical because the mass does not change when the acceleration rises. So, doubling the force also doubles the acceleration.
Force and acceleration are directly correlated, as demonstrated by Newton's second law of motion. An object of a given mass will accelerate more quickly the more force is applied to it. For instance, when the force acting on an item is doubled, so is the acceleration.
The correct rewritten statement :
a massive linebacker collides with a smaller halfback at midfield. the force experienced by the linebacker is equal to the force experienced by the halfback. the resulting acceleration of the linebacker is less than the resulting acceleration of the halfback.
TO know more about force and acceleration you may visit :
https://brainly.com/question/1046166
#SPJ4
with what constant velocity would you have to push or pull the rod in order to make the magnetic force zero
Energy and Power Due to Motional Electromotive Force. Emf may be prompted in primary ways: Due to the movement of a conductor withinside the presence of a magnetic field. Due to the extrude withinside the magnetic flux enclosed via way of means of the circuit.
The length of the voltage may be various through 3 factors: The length of the magnetic discipline. The greater flux strains there are, the greater flux strains there are for the conductor to cut.
The lively period of the conductor. The velocity at which the conductor passes thru the discipline. Moving the bar to the proper decreases the vicinity of the loop, reducing the flux.
The caused modern need to generate a discipline out of the page. This calls for a counter-clockwise modern. The flux thru the loop is converting, so the loop attempts to oppose the alternate. The flux is converting due to the fact the bar is moving, converting the place of the loop. To oppose the alternate the loop makes the bar gradual down.
Thus the velocity (and the brought on emf and current) lower exponentially to zero.
Learn more about velocity here https://brainly.com/question/24445340
#SPJ4
Rocket final velocity | Problem A rocket with total mass m-is in deep space, traveling with velocity vi in the x-direction. The rocket suddenly shoots some of its fuel out in the y-direction. The mass of the fuel is 1/5 the total mass of the rocket. Which of the following could be the final velocity of the rocket? O V = V; <-1/2,5/4> ما O Ve = V; <1/2, -5/4> O V+ = V; <4/5, -1/2> O V1 = V; <-4/5, 1/2> O V = V; <5/4, -1/2> O V+ = V; <-5/4, 1/2>
The final velocity of the rocket is Vf = Vi < 5/4, -1/2 >. Hence, Option E is the correct answer.
We have a mass of the rocket = m
The velocity of the rocket = vi
The rocket is traveling in the x-direction and the fuel is ejected in the y-direction.
mass of the fuel= m/5
the speed at which the fuel is ejected= 2vi
Now, let us find the final velocity along the x-direction i.e. vx
[tex]m_{rocket}[/tex] * vi = [tex](m_{rocket} -m_{fuel})[/tex] * vx
m*vi = (m-m/5)vx
m*vi = (4/5)m*vx
hence, we have vx = (5/4) vi
Similarly, along the y- direction,
0 = [tex]m_{fuel}[/tex] * 2vi + [tex](m_{rocket} -m_{fuel})[/tex]vy
0 = m/5 * 2vi + (m-m/5)vy
0 = m/5 * 2vi + (4/5)m * vy
(4/5)m * vy = - m/5 * 2vi
(4/5)m * vy = - m/5 * 2vi
vy = -(1/2)vi
Hence, the final velocity is vf = vi <5/4, -1/2>.
Read more about Velocity:
brainly.com/question/25905661
#SPJ4
The complete question is-
Rocket final velocity | Problem A rocket with total mass m-is in deep space, traveling with velocity vi in the x-direction. The rocket suddenly shoots some of its fuel out in the y-direction at the speed 2vi. The mass of the fuel is 1/5 the total mass of the rocket. Which of the following could be the final velocity of the rocket?
O V = V; <-1/2,5/4> ما O Ve = V; <1/2, -5/4> O V+ = V; <4/5, -1/2> O V1 = V; <-4/5, 1/2> O V = V; <5/4, -1/2> O V+ = V; <-5/4, 1/2>
To learn to apply the law ofconservation of energy to the analysis of harmonic oscillators.Systems in simple harmonic motion, or harmonicoscillators, obey the law of conservation of energy just likeall other systems do. Using energy considerations, one can analyzemany aspects of motion of the oscillator. Such an analysis can besimplified if one assumes that mechanical energy is not dissipated.In other words,,where is the total mechanical energy of the system,  is the kinetic energy, and is the potential energy.As you know, a common example of aharmonic oscillator is a mass attached to a spring. In thisproblem, we will consider a horizontally moving blockattached to a spring. Note that, since the gravitational potentialenergy is not changing in this case, it can be excluded from thecalculations.For such a system, the potential energy is stored in the springand is given by,where is the force constant of the spring and is the distance from the equilibrium position.The kinetic energy of the system is, as always,,where is the mass of the block and is the speed of the block.We will also assume that there are no resistive forces; that is,.Consider a harmonic oscillator at four different moments,labeled A, B, C, and D, as shown in the figure. Assume that theforce constant ,the mass of the block, ,and the amplitude of vibrations, ,are given. Answer the following questions.When the block is displaced a distancefrom equilibrium, the spring is stretched (or compressed) the most,and the block is momentarily at rest. Therefore, the maximumpotential energy is . At that moment, of course, . Recall that . Therefore,.In general, the mechanical energy of a harmonic oscillatorequals its potential energy at the maximum or minimumdisplacement.When the block is at the equilibrium position,the spring is not stretched (or compressed) at all. At that moment,of course, . Meanwhile, the block is at its maximum speed(). The maximum kinetic energy can then be written as. Recall that  and that  at the equilibrium position. Therefore,.Recalling what we found out before,we can now conclude that,or.Question:PartGFind the kinetic energy  of the block at the moment labeled B.Express your answer in terms ofand .
At the moment labeled B, the block is at the halfway point of its displacement. Therefore, the potential energy at this moment is. Meanwhile, the speed of the block at this moment is. Therefore, the kinetic energy is.
What is kinetic energy?
The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the object, which then moves at a new, constant speed. Kinetic energy is the type of energy that is transferred and is dependent on the mass as well as speed attained. Kinetic energy can be converted into different types of energy and transferred between objects. A flying squirrel may run into a chipmunk that is standing still, for instance. Some of the squirrel's initial kinetic energy may have been transferred to the chipmunk or changed into another form of energy after the collision.
To learn more about kinetic energy
https://brainly.com/question/20658056
#SPJ4
0.200 kg object is attached to the end of a 58.0-N/m spring. It is displaced 10.0 cm to the right of equilibrium and released on a horizontal, frictionless surface. Calculate the period T of the motion. T=
When a body is in equilibrium, neither its internal energy nor its motion are affected by the passage of time.
What does an equilibrium position look like?When minor, externally generated displacements from an equilibrium result in forces that tend to counteract the displacement and bring the body or particle back to the equilibrium state, the equilibrium is said to be stable.Examples are a brick that is resting on a flat surface or a weight that is suspended by a spring.The least total potential energy position, or in this example, the maximum kinetic energy position, can be used to determine the equilibrium position.To learn more about equilibrium position refer to:
https://brainly.com/question/24175270
#SPJ4
consider what happens when you push both a pin and the blunt end of a pen against your skin with the same force. decide what determines whether your skin is cut - the net force applied to it or the pressure.
Answer:
it is cut, because of the pressure