Answer:
The small car and the truck experience the same average force.
Explanation:
Here we need to remember two of Newton's laws.
The second one says that:
F = m*a
force equals mass times acceleration.
And the third one says that;
"If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A"
From the third law, if the car experiences a force F due to the impact with the truck, then the truck experiences the same force F due to the impact.
But this seems odd, because we would expect to see the car being more affected by the impact, right?
Well, this is explained by the second law.
Suppose that the mass of the car is m, and the mass of the truck is M.
such that M > m
Then for the small car we have:
F = m*a
And for the truck:
F = M*a'
Because the force is the same for both of them, we can write:
m*a = M*a'
a = (M/m)*a'
because M > m, then M/m > 1.
This means that the acceleration that the car experiences is larger than the acceleration for the truck, and this is why we would see that the car seems more affected by the impact, regardless of the fact that both vehicles experience the same force in the impact.
Object A of mass 2 kg is gravitationally attracted to object B of mass 2 kg as the two objects float in space. Frictional forces are negligible. The gravitational forces of attraction between the two objects are shown in the table above. Which of these claims about the motion of the center of mass of the two objects system is true?
A) The center of mass will not accelerate
B) The center of mass will accelerate at 0.675 x 10 m/s?
C) The center of mass will accelerate at 5.4 x 10 m/s
D) The center of mass will accelerate at 2.7 x 10 m/s
The center of mass won't accelerate .Option (A)
Center of mass could be a position outlined relative to associate degree object or system of objects. it's the common position of all the components of the system, weighted consistent with their plenty.
from the question,
[tex]a_{com} = \frac{m_1a_1+m_2a_2}{m_1+m_2}[/tex]
the mass of the primary object is M1
the mass of the second object is M2
the acceleration of the primary object is a1
the acceleration of the second object is a2
acceleration (a) = force by mass
a = F/m
a1 = F/m1
where F is force ( F = [tex]2.7\times 10^{-10}[/tex])
a1 = [tex]\frac{2.7 \times 10^{-10}}{2 }[/tex]
a1 = [tex]1.35 \times 10^{-10} m/s^2[/tex] ( towards right )
a2 = [tex]\frac{2.7 \times 10^{-10}}{2 }[/tex]
a2 = [tex]1.35 \times 10^{-10} m/s^2[/tex] ( towards left)
so by this we can say this
a1 = [tex]+1.35 \times 10^{-10} m/s^2[/tex]
a2 = [tex]-1.35 \times 10^{-10} m/s^2[/tex]
to find the acceleration of center of mass
[tex]a_{com} = \frac{m_1a_1+m_2a_2}{m_1+m_2}[/tex]
[tex]a_{com} = \frac{2 \times 1.35 \times 10^{-10} -2\times1.35 \times 10^{-10} }{2+2}[/tex]
a = 0 / 4
a = 0
so by this we can say that
The center of mass will not accelerate
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A parallel-plate capacitor has a voltage v = 6.0 v between its plates. each plate carries a surface charge density σ = 7.0 nc/m2. what is the separation of the plates?
The separation of the plates in this parallel-plate capacitor is approximately 6.49 micrometers.
The separation of the plates in a parallel-plate capacitor can be calculated using the equation:
d = ε0 * ∆V/σ
where d is the separation of the plates, ε0 is the electric constant (also known as the permittivity of free space), ∆V is the potential difference between the plates, and σ is the surface charge density on the plates.
In this case, the potential difference between the plates is given as v = 6.0 V, and the surface charge density on the plates is given as σ = 7.0 nC/m^2. Plugging these values into the equation above, we get:
d = (8.85 x 10^-12 C^2/N*m^2) * (6.0 V) / (7.0 nC/m^2)
This simplifies to:
d = 6.49 x 10^-6 m
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a flat coil of wire consisting of 240 turns, each with an area of 40 cm, is positioned perpendicularly to a uniform magnetic field that increases its magnitude at a constant rate from 0.27 t to -0.77 t in 5.3 s. if the coil has a total resistance of 22 , what is the magnitude of the induced current when the field is -0.25 t?
magnitude of the induced current
where I = 0.5A
Briefing
Knowing that the formula for magnetic flux is = NBA
Here, N is the number of turns,
B is the magnetic field,
and A is the area of the loop.
Knowing that the coil's EMF will be induced by the rate of change in magnetic flux,
we may calculate it as EMF = NA db/dt.
To find the induced EMF,
we now plug in all values.EMF = 0.2
voltageTherefore, according to Ohm's rule,
Current = EMF/Resistance I = 0.2/0.40.
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Q5. A cyclist travels down a hill from rest at point X, without pedalling. He applies his brakes and the cycle stops at point Y.
Which energy changes have taken place between X and Y?
A) kinetic energy-> heat energy-> gravitational potential energy.
B) gravitational potential energy -> heat energy-> kinetic energy.
C) kinetic energy-> gravitational potential energy-> heat energy.
D) gravitational potential energy-> kinetic energy-> heat energy.
Answer:
B
Explanation:
At highest point gravitational energy is higher. While coming down without paddle it starts to gain heat energy and once it reaches the ground the kinetic energy is higher.
I hope my answer helps you.
Why does magnesium bromide have a 2?
There are two bromide ions are required for every magnesium ion, so, magnesium bromide has a 2.
The chemical formula of magnesium bromide is [tex]MgBr_2[/tex]
As we know, the atomic number of magnesium is 12, while the atomic number of bromine is 35.
So, the electron distribution of Mg will be - 2,8,2
So, Mg needs to release its 2 electrons to complete its octet.
The electronic configuration of Br will be [tex]1s^2, 2s^2, 2p^6, 3s^2, 3p^6, 4s^2, 3d^{10}, 4p^5.[/tex]
Here, the valence electrons are in the 4s and 4p orbitals giving Bromine 7 valence electrons.
So, bromine needs one electron to complete its octet.
From above we can conclude that,
For compensating 2 electrons of Mg, 2 atoms of Bromine is required.
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if an object is placed beyond the the focal length of a converging lens (s>f) the image will be
if an object is placed beyond the focal length of a converging len, the image will be real smaller image or real and bigger image depending on the position.
We have four positions of object in front of a converging lens, accordingly there are three types of images formed.
1) When object is placed at infinity - image is real and tiny sized. This image is formed at the focus.
2) when object is placed beyond 2F - image is real and smaller than object.
3) When object is placed at 2F - image is real and equal in size to object.
4) when object is placed between 2F and F - image is real and bigger than object.
A converging lens is a convex lens which converges all the rays coming parallel to the principal axis at a point on the principal axis, called focus.
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This is finance literacy help me ASAP!!!!
Your marital status, health information, shopping patterns, financial transactions, income, account balances, criminal history, and level of education are not included in your credit report. Thus, option C is correct.
What are the item are found in credit report?Your credit report contains personal information, credit account history, credit queries, and public records. These details will be provided to the credit reporting agencies by your creditors and lenders. A significant portion of information is utilized to determine your Scores, which tell prospective lenders how creditworthy you are.
All credit reports contain essentially the same types of information, even if Experian, Equifax, and TransUnion format and publish your information differently.
Therefore, The amount of money in your checking account.
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What is spectrum of thermal radiation in micro meter Mcq?
From of the longest infrared light through the visible light spectrum to a shortest ultraviolet rays, thermal radiation spans the entire electromagnetic spectrum.
The electromagnetic spectrum is what, Mcq?
In increasing frequency and decreasing wavelength order, radio waves, microwave, infrared, visible light, ultraviolet radiation, X-rays, gamma rays, and cosmic rays make up the full electromagnetic spectrum.
What is thermal radiation, exactly?Thermal radiation is the process of transferring heat through electromagnetic radiation that is produced by thermal motion of matter particles.This electromagnetic radiation is located in the infrared portion of the spectrum, which is invisible to most Earthly bodies.
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can somebody answer this
Based on the given diagram that contains four items with a predefined mass, it is stated that the four items which are: sponge, glass, eraser and steel are submerged in water for 30 minutes, when they are all brough out, the item that would likely have an increase in weight is the sponge.
What is Weight?This refers to the term that is used to describe and define the force exerted by gravity on an object. The gravitational force acting on the item is referred to as weight in several common textbooks. Some people refer to weight as a scalar quantity that measures the gravitational force's strength.
Hence, it can be seen that a sponge is a foamy material that absorbs water, unlike the other materials and this is the material that would feature an increase in weight after being submerged in water for 30 minutes.
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a shot-putter accelerates a 5 kg shot put from rest to 11.2 m/s in a distance of .5 m. find the following: what is the work done on the shot put? what is the force exerted by the shot-putter? what power did the shot putter use?
(a) The work done by the shot-putter is 313.6 J.
(b) The force exerted by the shot-putter is 627.2 N.
(c) The power used by the shot putter is 7024.6 Watt.
What is the work done by the shot-putter?
The work done by the shot-putter is equal to the change in the kinetic energy of the shot-put.
W = ΔK.E
W = ¹/₂m(v² - u²)
where;
m is the mass of the shot-putv is the final velocity of the shot-putu is the initial velocity of the shot-put = 0 (since it started from rest)W = ¹/₂m(v² - 0)
W = ¹/₂mv²
W = ¹/₂(5)(11.2)²
W = 313.6 J
The force exerted by the shot-putter is calculated as follows;
W = Fd
where;
F is the applied forced is the displacement of the shot-putF = W / d
F = ( 313.6 J ) / (0.5 m)
F = 627.2 N
The power used by the shot putter is calculated as follows;
P = Fv
P = (627.2 N) x (11.2 m/s)
P = 7,024.6 Watt
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A student conducts three experiments to determine how certain quantities influence the centripetal force responsible for an object to spin in a horizontal circle. The student uses one end of a string to attach the object while the other end is connected to a force sensor that allows the student to change the tension on the string, as shown in the figure. The student records data from the three experiments in the table above. Which of the following experiments, if any, collected data that do not agree with the expression for the net centripetal force on the object?
A)The experiment in which mass was changed
B)The experiment in which the radius of the circular path was changed
C)The experiment in which the speed of the object was changed
D)All the data are expected.
Option C) The experiment in which the speed of the object was changed
is only statement that doesn't satisfy the given data as shown below:
The above statement can be verified using the calculation:
Formula for centripetal force(F) = [tex]\frac{mv^2}{r}[/tex]
where m is mass of object , v is speed of object and r is radius of the circular motion.
For option A) when only mass of object is changed and rest all are same.
so F = k*m where k = [tex]\frac{v^2}{r}[/tex] as both are constant
=> [tex]\frac{F_1}{F_2}[/tex] = 4.04/8.08 = 0.5
and [tex]\frac{m_1}{m_2}[/tex] = 0.1/0.2 =0.5
so [tex]\frac{F_1}{F_2} = \frac{m_1}{m_2}[/tex]
similary [tex]\frac{F_2}{F_3} = \frac{m_2}{m_3}[/tex] and hence data is correct for option A)
For option B) when only radius of object is changed and rest all are
same.
so F = k/r where k = [tex]m*v^2[/tex] as both are constant
=> [tex]\frac{F_1}{F_2}[/tex] = 4.04/8.08 = 0.5
and [tex]\frac{r_2}{r_1}[/tex] = 0.3/0.6 =0.5
so [tex]\frac{F_1}{F_2} = \frac{r_2}{r_1}[/tex]
so both are same , similary [tex]\frac{F_2}{F_3} = \frac{r_3}{r_2}[/tex] and hence data is correct for option B
For option C) when only speed of object is changed and rest all are
same.
so F = k*[tex]v^2[/tex] where k = [tex]\frac{m}{r}[/tex] as both are constant
=> [tex]\frac{F_1}{F_2}[/tex] = 4.04/9.09 = 0.44444
and [tex]\frac{v_1^2}{v_2^2}[/tex] = 4.08/9.181 =0.44439
so ,[tex]\frac{F_1}{F_2}[/tex] ≠ [tex]\frac{v_1^2}{v_2^2}[/tex]
and hence data is not correct for option C
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Complete question:
A student conducts three experiments to determine how certain quantities influence the centripetal force responsible for an object to spin in a horizontal circle. The student uses one end of a string to attach the object while the other end is connected to a force sensor that allows the student to change the tension on the string, as shown in the figure. The student records data from the three experiments in the table above. Which of the following experiments, if any, collected data that do not agree with the expression for the net centripetal force on the object?
A)The experiment in which mass was changed
B)The experiment in which the radius of the circular path was changed
C)The experiment in which the speed of the object was changed
D)All the data are expected.
Identify the following as Newton's 1st, 2nd, or 3rd Law.
All dropdowns have the same options.
FILL IN THE BLANK. the _____ theory says people are ""pulled"" by external stimuli to act in a certain way.
The incentive theory says people are "pulled" by external stimuli to act a certain way.
Humans have both main and secondary needs that must be met in order for them to feel needed. These requirements naturally nudge a person in that direction. Hunger, thirst, and a desire for sexual activity are examples of fundamental wants. Secondary needs, on the other hand, are those that depend on advantages, with financial requirements serving as the finest illustration.
According to incentive theories, conduct is driven by the "pull" of external objectives like rewards, money, or recognition. It's simple to imagine a variety of circumstances in which a specific objective, like a job promotion, can act as an outside incentive to encourage certain actions.
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a ball is swung in a vertical circle such that at one point along its circular path the forces exerted on the ball can be represented by the free body diagram. the magnitude of the tension force exerted on the ball, t, is twice that of the force due to gravity exerted on the ball from earth, fg. what is the location of the ball, and what is the magnitude of the centripetal acceleration of the ball?
Location of the ball is top of the circle and acceleration is 3g.
Since tension force is more, surely ball is having net force upward and hence, the location of the ball in this case is top of the circle.
Any object that moves in a circle has an acceleration vector towards the center of that circle. This is known as Centripetal acceleration.
total force/ net force when ball is top of the circle is sum of tension force and gravity force.
[tex]F_{net[/tex] = T + mg
Because of this net force, there is centripetal acceleration towards the center.
so, T + mg = ma
2mg + mg = ma
3mg = ma
a = 3 × force of gravity
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I need help in this question
The only true statement about the toy car is " the toy does not approach the spring".
option A is the correct answer.
What is the acceleration of the toy car?The acceleration of the car is calculated by applying Newton's second law of motion, which states that the force applied to an object is directly proportional to the product of mass and acceleration of the object.
F - Ff = 0
F = Ff
ma = μmg
a = μg
where;
a is the acceleration of the carμ is the coefficient of frictiong is acceleration due to gravitya = 0.14 x 9.8 m/s².
a = 1.37 m/s²
The distance traveled by the car before stopping is calculated as follows;
v² = u² - 2as
where;
v is the final velocity of the caru is the initial velocitys is the distance travelledwhen the car stop's the final velocity, v = 0
0 = u² - 2as
2as = u²
s = u²/2a
s = ( 2² ) / ( 2 x 1.37 )
s = 1.5 m
Thus, the final distance travelled by the car is less than 3 m, hence the car did not come in contact with spring.
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What is required to start an object moving?
To start an object moving, a force must be applied to the object which must be greater than the forces that are acting to keep the object at rest.
The amount of force needed to start an object moving depends on the mass of the object, as well as the type and magnitude of the forces acting on it. For example, it may take more force to start a heavy object moving than a light object, and it may take more force to start an object moving on a rough or slippery surface than on a smooth or sticky surface.
To apply a force to an object, we can push or pull on it, use a lever or other mechanical advantage to amplify the force, or use an external force such as gravity or a motor to move the object. Once the object is moving, it will continue to move unless acted upon by another force.
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What does a capacity plate indicate safe load limit?
The capacity plate tells us about the maximum load or the maximum number of people that can be carried by a vehicle.
In boats, the maximum load is measured by the capacity plate Quizlet. The maximum load for a particular region is issued by the authority of that region, which is strictly mandatory to follow. Any violation can lead to strict punishment. Load limit can be calculated by subtracting curb weight from GVWR.
Load limit= GVWR- curb weight
By staying within the load limit one can increase the life of a vehicle also. It is also for human safety purposes.
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What is the value of threshold voltage in 180nm technology node?
The threshold voltages for NMOS transistors in the 180 nm technology are Vth,r = 0.592 V and Vth,n = 0.068 V.
What does technology with a 180 nm mean?Leading semiconductor firms, first with TSMC and Fujitsu, then Sony, Toshiba, Intel, AMD, Texas Instruments, and IBM, commercialized the 180 nm process, a MOSFET (CMOS) semiconductor process technology, between 1998 and 2000.
What is Threshold voltage?The Threshold voltage at which a sizable current begins to flow from the source to the drain is referred to as the threshold voltage.
A thin inversion layer that separates the insulating from the real body of a transistor is typically used to build a threshold voltage. The region's surface is covered with tiny holes that are positively charged, and when electricity is applied, the particles in these spaces are repelled.
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solid wooden sphere of volume 0.0100 m3 floats freely exactly one-half submerged in a liquid of density 800 kg/m3. a lightweight cord is now tied to the sphere and is used to pull the sphere under the surface and hold it completely submerged. what is the tension in the cord?
The tension in the cord is 39.2 N.
What is tension in the cord?
The tension in the cord used in pulling down the solid wooden sphere is equal to the weight of the solid wooden sphere .
The weight of the sphere is calculated from the density of the solid wooden sphere.
S.G = density of solid wooden sphere / density of liquid
where;
S.G is specific gravity of the solid wooden sphere¹/₂ = ρ / (800 kg/m³)
ρ = ¹/₂ x 800 kg/m³
ρ = 400 kg/m³
The mass of the solid wooden sphere is calculated as;
m = density x volume
m = 400 kg/m³ x 0.01 m³
m = 4 kg
The tension in the cord is calculated as follows;
T = W = mg
T = 4 kg x 9.8 m/s²
T = 39.2 N
Thus, the tension in cord is equal to the weight of the solid wooden sphere submerged in the liquid.
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How much does CO2 contribute to global warming?
Co2 alone was responsible for roughly two-thirds of the overall heating effect of all life form greenhouse gases in 2021, according to observations even by NOAA Global Monitoring Lab.
What portion of climate change is CO2 responsible for?About 76 percent of all greenhouse gas emissions are made up of CO2.Nitrous oxide generates 6 percent of global emissions, while methane, which is mostly produced in agriculture, accounts for 16% of greenhouse gas emissions.
What is the primary cause of global warming?Fossil fuels, which include coal, oil, and gas, are by far the biggest cause of climate change, contributing more than 75% of all emissions of greenhouse gases and almost 90% of all emission of carbon dioxide.
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Why 3 define the term frequency?
Frequency, in physics, the number of waves that pass fixed point in unit time; also, the number of cycles or vibrations undergone during one unit of time by a body in periodic motion.
What is frequency?
The definition of frequency says that it is the number of complete cycles of a wave passing through a point per unit time.The SI unit of the frequency is Hertz (Hz).Frequency of a sine wave as the number of complete oscillations made by any wave element per unit time.A frequency is in periodic motion, it has gone through one cycle after passing through a series of events or positions and returning to its original state.To know more about frequency, click the link given below:
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the uniform beam has a weight w and length l and is supported by a pin at a and a cable bc.
Accordingly, the response at A in a vertical direction weight is W(2cosϕsinθ−sinϕcosθ)/2sin(θ−ϕ).
If you hang the wire from the ceiling while placing a weight on the lower end, it will sag. By dividing the length change by the starting length, the strain in the wire may be computed. By dividing the weight suspended from the wire by its cross-sectional area, the tensile tension in the wire is determined. Stress and strain have a defined ratio.
Modulus is a fundamental characteristic of industrial yarn and thread for wire and cable, especially aramid yarns (fiber elasticity). The relationship between strain (the ratio of deformation over initial length along an axis) and stress (force per unit area along that axis) is referred to as modulus.
In conclusion, cross-linking improved elastic modulus, decreased strain to failure, and had negligible effect on collagen fracture stress in the current experimental design.
The questions is incomplete I answered it in general way
The uniform beam has a weight W and length l and is supported by a pin at A and a cable BC. (Figure 1) Determine the horizontal and vertical components of reaction at A. Express your answers in terms of some or all of the variables W, l, phi and theta. Enter your answers separated by a comma.
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A road undergoes a 2.3 km turn to the N. If the road is to be rated for 100 km/hr, at what angle should the road be banked?
The angle the road should be banked is determined as 2⁰.
What angle should the road be banked?The banking angle of the road is calculated by applying the following equation.
tan ( θ ) = v² / rg
where;
θ is the banking anglev is the speed rating of the roadr is the radius of the curveg is acceleration due to gravityThe given parameters includes;
radius of the road = 2.3 km = 2,300 m
speed rating of the road = 100 km/hr = 27.78 m/s
tan ( θ ) = v² / rg
tan ( θ ) = (27.78)² / (2,300 x 9.8)
tan ( θ ) = 0.034
θ = arc tan (0.034)
θ = 2⁰
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2. A rifle can shoot a 4.00 g bullet at a speed of 998 m/s.
a. Find the kinetic energy of the bullet.
b. What work is done on the bullet if it starts from rest?
c. If the work is done over a distance of 0.75 m, what is the average
force on the bullet?
d. If the bullet comes to rest after penetrating 1.50 cm into a piece of
metal, what is the magnitude of the force bringing it to rest?
Posted Thu Oct 27, 2022 at 9:11 am
a) The kinetic energy of the bullet is 1.996 joule.
b) The total work done on it is 1.996 joule.
c) The average force on the bullet is 2.661 N.
d) The magnitude of the force bringing it to rest is 1.33 N.
What is speed?Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.
Given that: . A rifle can shoot a 4.00 g bullet at a speed of 998 m/s.
a) the kinetic energy of the bullet = (4.00/1000)×998/2 joule = 1.996 joule.
b) If it starts from rest, the total work done on it = kinetic energy of it = 1.996 joule.
c) If the work is done over a distance of 0.75 m, the average force on the bullet is = work done/distance = 1.996/0.75 N = 2.661 N.
d) If the bullet comes to rest after penetrating 1.50 cm into a piece of
metal, the magnitude of the force bringing it to rest is = 1.996/1.50 N = 1.33 N.
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What is the relationship between wavelength and frequency Mcq?
The relationship between wavelength and frequency is λ=c/f. According to the equation, v = f λ, frequency and wavelength are inversely proportional to each other.
It is measured in the wave's direction. The frequency decreases as the wavelength lengthens In a similar vein, A wave's wavelength and frequency are inversely related. The quantity of wave crests passing a specific place in a second is known as frequency. In order for this to occur, the wavelengths must be short; at higher frequencies, more wave crests will pass the site each second. The relationship between frequency and wavelength is inversely proportional. Less frequency corresponds to a longer wavelength and vice versa. A wave's wavelength and frequency are inversely proportional. This translates to a small wavelength for waves with a high frequency.
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Suppoe that the electric field part of an electromagnetic wave in vacuum i 5 E-3. 1 Co (18 5. 4x101)
(a) What i the direction of propagation?
(b) What i the wavelength ?
(c) What i the frequency?
(d) What i the amplitude of the magnetic field part of the wave?
(e) Write an expreion for the magnetic field part of the wave
The given question is incomplete, and hence, can not be answered. Still, adding some relevant information for your reference.
What are electromagnetic waves?
Electromagnetic waves, or EM waves, are waves produced by oscillations between electric and magnetic fields. In other words, EM waves consist of oscillating magnetic and electric fields.
Electromagnetic waves are produced when an electric field contacts a magnetic field. Therefore, they are called "electromagnetic waves". The electric and magnetic fields of electromagnetic waves are perpendicular (right angles) to each other. They are also perpendicular to the EM wave direction. The
EM wave propagates in vacuum with a constant velocity of 3.00 x 108 ms-1. They are not deflected by electric or magnetic fields. However, they can exhibit interference or diffraction. Electromagnetic waves penetrate everything, including air, solids, and vacuums. No medium is required to diffuse or move from one place to another.
The given question is incomplete, and hence, can not be answered. Still, adding some relevant information for your reference.
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The greater efficiency achieved with the curved blades of a pelton wheel is due to
Answer:
bouncing
Explanation:
The greater efficiency achieved with the curved blades of a pelton wheel is due to bouncing.
if you could see stars during the day, the drawing above shows what the sky would look like at noon on a given day. the sun is at the highest point that it will reach on this day and is near the stars of the constellation gemini. what is the name of the constellation that will be closest to the sun at sunset on this day?
The constellation that will be closest to the sun at sunset on this day is called Taurus.
Is there a constellation of the Sun?But have you ever questioned whether the Sun is a part of any of these constellations. The short answer is that the Sun officially has no constellation, according to both contemporary astronomy and old astrological tradition.
What constellations does the Sun travel through?After passing through each sign in turn—Scorpius the Scorpion, Ophiuchus the Serpent Charmer, Sagittarius the Archer, Capricornus the Seagoat, Aquarius the Water Bearer, Pisces the Fish, Aries the Ram, Taurus the Bull, Gemini the Twins, Leo the Lion—the Sun returns to Virgo the Maiden, where the cycle starts over again.
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a block of mass m is launched by a spring of negligible mass along a horizontal surface of negligible friction. the spring constant of the spring is k. the spring is initially compressed a distance x0. the block is released from rest. some time after the block is released and travels in the direction shown in the figure, the spring compression is xf. which of the following mathematical calculations can a student use to determine the speed vf of the block at this new position?
The required speed Vf of the block at this new position 1/2KX²= 1/2KXf ² + 1/2Vf m².
What is kinetic energy?In physics, the kinetic energy of an object is the energy it has due to its motion. It is defined as the work required to accelerate a body of specified mass from rest to a specified velocity. After the body acquires this energy during acceleration, it retains this kinetic energy as long as the velocity does not change. The same work is done when the body slows down from its current speed to rest. Formally, kinetic energy is any term in the Lagrange of a system that includes the time derivative.
According to question:In this problem, neglecting friction force, there are two energies at work viz. Potential energy of spring and kinetic energy of spring mass system.
Initially the spring is compressed to length from the equilibrium position, therefore, initially,
Potential energy= 1/2KX²
(Because potential energy of spring= 1/2×(spring constant)×(compression)²)
At this instance system is at rest, therefore, kinetic energy=1/2mv²=0.
So total initial energy= K.E. + P.E. = 1/2KX² -(1)
Now in the 2nd instant, spring is compressed to length from equilibrium, therefore, P.E.=1/2K ²
and velocity= here,
Therefore, kinetic energy= 1/2 mv²
So total energy= 1/2K ² + 1/2 m² -(2)
From conversation of energy theorem, (1) and (2) should be equal(Neglecting friction, remember)
Therefore, the correct answer is: 1/2KX²= 1/2KXf ² + 1/2Vf m²
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A 600-kilogram space vehicle travels at 4. 8 meters per second along the level surface of mars. If the magnitude of the gravitational field strength on the surface of mars is 3. 7 newtons per kilogram, the magnitude of the normal force acting on the vehicle is.
The magnitude of the normal force acting on the vehicle in mars is 2,220 N
The mass of the vehicle = 600 kg
The speed at which the space vehicle travels = 4.8 m/s
The gravitational field strength = 3.7 N/kg
The magnitude of the force acting on the vehicle can be found using the formula,
F = mg
where F is the force acting on the vehicle
m is the mass of the vehicle
g is the gravitational strength.
Let us substitute the known values in the above equation, we get
F = 600 x 3.7
= 2,220 N
Therefore, the force acting on the vehicle is 2,220 N
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