The speed of a moving rod that has a length 55 % that of an identical rod in terms of c will be v/c= 0.824
or v = 0.824c.
The formula for length contraction rod is,
L = L1{√(1-v^2/c^2)}
Here L is the length of the moving rod
L1 is the length of the stationary rod
v is the velocity with which the rod is moving
c is the speed of light
We are given that
L = 55% of L1 = 0.55L1
Putting the values in the above equation,
0.55L1 = L1{√(1-v^2/c^2)}
0.55 = {√(1-v^2/c^2)}
Squaring both sides
(0.55)^2 = 1- v^2/c^2
V^2/c^2 = 1 - 0.3025
V^2/c^2 = 0.6975
v/c = 0.824
Thus, the speed of a moving rod that has a length 55 % that of an identical rod in terms of c will be v/c= 0.824 or v = 0.824c.
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Write the form of the partial fraction decomposition of the function (see example). do not determine the numerical values of the coefficients. (a) 7x (x 6)(3x 2)
We have the given equation as [tex]\frac{7x}{(x+6)(3x+2)}[/tex] that we have to convert through partial fraction decomposition.
What is Partial Fraction?The partial fraction decomposition or partial fraction expansion of a rational fraction in algebra is the process of expressing the fraction as the product of a polynomial (possibly zero) and one or more fractions with a simpler denominator.
A rational fraction is defined as one that has a polynomial as both the numerator and the denominator.
Theory and solutionWe have to find the form of the partial fraction decomposition of the function.
The given rational function has two factors in multiplication form in the denominator.
Also, the degree of the numerator is less than the denominator. Hence, the form of partial fraction decomposition of the function is:
[tex]\frac{7x}{(x+6)(3x+2)}[/tex] = [tex]\frac{A}{x+6} + \frac{B}{3x+2}[/tex]
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A 5kg object with a velocity of 6m/s strikes a motionless ball. the object stops moving as a result of the collision. what is the velocity of the ball after the collision?
mU1 + mU2 = mV1 + mV2
(5 × 6) + (3 × 4) = 5V + 3V
30 + 12 = 8V
42 = 8V
V = 5.25m/s
The velocity of the ball after the collision is 5.25m/s.
What is velocity ?While velocity refers to the speed and direction of an object's motion, speed is the rate at which an object moves along a path over time.
The rate at which something moves in a certain direction is referred to as its velocity. as quickly as a car traveling north on a highway or a rocket taking flight. The magnitude of the velocity vector's absolute value will always be equal to the motion's speed because it is a scalar.
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High temperature and pressure tend to favor flow rather than breakage, so it is surprising that large, very deep earthquakes are sometimes observed, occurring in warm places where the pressure is high. What is accurate about these rare, deep earthquakes?.
They happen at subduction zones, where shifting mineral assemblages appear to "implode" as a result of increased pressure on the rock as it is subducted deeper.
The notion that is currently preferred is "Implosion." The building blocks often reorganize to take up less space as subduction zones move rocks deeper where pressure is stronger, moving from, say, a one-on-top-of-another pattern to a fit-in-the-gap-between-those-below pattern. This might sometimes seem to happen gradually before happening abruptly (I can't move till my neighbor does...), resulting in an implosion. Where temperatures and pressures are just so high that we don't imagine rocks can break, the largest, deepest earthquakes occur. Nowhere near as deep as the earthquakes, humans have never dug a hole. Atomic bomb testing has mostly ended. A large earthquake is also much larger than a large atomic weapon.)
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What is the potential difference between the plates of a 2.9-f capacitor that stores sufficient energy to operate a 75.0-w light bulb for one minute?
Answer:
Q = I t charge * time where I = charge / time
Q = V * C where Q is the charge stored on capacitor C
V C = I t
V = I t / C = 75 C/s * 60 sec / 2.9 farad = 1552 Volts
Note: farad = Coul / (J / Coul) = Coul^2 / J
One of the pieces of evidence supporting energy quantization was the line spectra of elements. Why does this demonstrate energy quantization?.
There are distinct emission lines indicating discrete energy levels.
When a component transmits energy in the form of radiation, a spectrum of colors is produced on a photographic plate. This spectrum can be both continuous and discrete. The spectrum persists without distinction between two regions in a continuous spectrum. This represents the uninterrupted radiation emission and thus the uninterrupted emission of energy.
The line spectrum, on the other hand, is made up of discrete and sharp lines that show the emission of radiation in a specific amount over a specific time period, with a break between emission. As a result, the line spectra supports energy quantization.
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Sodium is a metal and chlorine is a gas. Is sodium chloride (table salt) is there a gas or a metal like the elements it's made of?
A. Yes
B. No, it has completely different properties
Answer:
B. No, it has completely different properties
Explanation:
Sodium Chloride itself is not an element, but an ionic compound composed of two different elements.
Were both sides of the single magnet attracted to the metal surface? use your results to support your answer.
YES both sides of the single magnet attracted to the metal surface because metals are not paramagnetic magnets, temporary magnetism can be induced in metal by bringing a magnet close to it . The pole of metal surface will be such that it is attracted by the magnet.
From result: A1 and A2 both side of magnet attract to metal surface.
when one magnet is removed from stack, magnetic poles of stack will not change because stack consist of many mgnet , after removing one magnet from stack pole strength of stack will reduce but pole of stack will remain same.
From result:
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Initial most propble speed Vi= [tex]\sqrt 2RT/M[/tex]
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If the dark adapted eye has a pupil diameter of 7.0 mmmm , how many photons per second enter the eye from the star? assume the starlight has a wavelength of 550 nmnm .
1562.2 photons per second enter the dark adapted eye has a pupil from the star.
What is wavelength?A waveform signal's wavelength, which is the distance between two identical locations (adjacent crests) in the succeeding cycles, determines whether it is sent over space or via a wire. In wireless systems, this length is frequently specified in metres (m), centimetres (cm), or millimetres (mm) .
energy of each photon
E = hc/ lamda
E = 3.61 * 10 to power -19J
N, the number of photons that enter each second
NE = P
N = P/E
N = 1562.2 photons/sec
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often a vector is specified by a magnitude and a direction; for example, a rope with tension t⃗ exerts a force of magnitude t
To study vectors it is best to select a coordinate system and manipulate it in that coordinate system and the component of A in x is 0.9396 while in y it is 0.342.
What is a vector?An item with both magnitude and direction is referred to be a vector.
A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.
A vector has magnitude and direction so we can form a vector coordinate system and manipulate each vector in that such that it will be clear to study all vectors.
Given the vector A,
Magnitude |A| = 1 units
The angle of inclination from the x-axis is 20°.
Component of A in the x-axis ⇒
|A|cos20° = 1(0.9396) = 0.9396
Component of A in the y-axis ⇒
|A|sin20° =1(0.342) = 0.342
Hence "The component of A in x is 0.9396 while in y it is 0.342".
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Given question is incomplete with the missing image attached below;
A car, travelling at 25 m/s, starts to accelerate uniformly at 3 m/s2 for 80 m.
A car, travelling at 25 m/s, starts to accelerate uniformly at [tex]3m/s^2[/tex]for 80 m.
The final velocity will be:
[tex]\sqrt{1105} m/s[/tex]
How to find the final velocity?
We will use Newton's third law.
[tex]v^2-u^2=2as[/tex]
where,
v = final velocity
u = initial velocity
a = acceleration
s = distance
Substituting the values, we get:
[tex]v^2=480+625=1105\\v=\sqrt{1105}[/tex]
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Is the magnetic field inside the loop increasing in strength, decreasing in strength, or steady?
There is a induced current in the conducting loop shown in the figure. According to the Lenz law, the magnetic field inside the loop is decreasing in strength.
State Lenz law.
The induced electromotive force (emf) with different polarities induces a current whose magnetic field opposes the change in magnetic flux through the loop in to ensure that the original flux is maintained throughout the loop when the current flows in it.
How is Lenz’s law conservation of energy?
Lenz’s law is based on the law of conservation of energy. The induced current is always opposed by the cause that produces it. Hence, there is extra work done against the opposing force. The work done against the opposing force results in the change in the magnetic flux and hence the current is induced. Hence the law of conservation of energy is satisfied.
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15. The speed of light is very close to 300,000 km/s. The planet Jupiter is around
741 million km from the Sun. How long does it take for light from the Sun to reach
Jupiter?
Answer:it take light sun jupitor bang ding ow 3 seconds beofre bang bing boom
Explanation:
solve problem 2.5 if a 150 mm thick brick wall, which is 2.1 m high and 7.5 m long, bears directly on the top of beam cd.
The tributary region of the beam CD is indicated by the shaded area. The tributary area of the beam CD has a width of B=3.6m. The CD beam's tributary area is 7.5 meters long. The concrete slab has a thickness of H=100mm.
What is structural analysis?
The goal of structural analysis is to forecast how a structure will react to a set of arbitrary external loads.
The goal of the structural analysis is to determine how changes to the structure as a whole or in part will affect the ultimate limit states and service ability limit states as described in Section 8.
Establishing a sensible distribution of internal forces, moments, stresses, strains, and displacements over the entire or a portion of a structure is the goal of a structural study.
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a rigid tank contains an ideal gas at 40°c that is being stirred by a paddle wheel. the paddle wheel does 200 kj of work on the ideal gas. it is observed that the temperature of the ideal gas remains constant during this process as a result of heat transfer between th
The total entropy generation is 0.67 kJ/K
CalculationSince there is no increase in the temperature of the gas, so according to the 1st law of thermodynamics
δQ=dU+δW
⇒ δQ=δW=200KJ
Then here dU is zero because the temperature is constant.
Now, S2−S1=∫[tex]\frac{δQ}{T}[/tex]+ Sgen
Here as it can be seen, there is no increase in the temperature of the gas. So, here we apply the first law of thermodynamics.
∴ S2−S1=0
⇒ Sgen= [tex]-\frac{(-200)}{(27+273)}[/tex] = [tex]\frac{200}{300}[/tex] = 0.67kJ/K
What is the first law of thermodynamics?The first law of thermodynamics expresses that the entire energy of the universe remains the same. Even though the energy can be exchanged between the system and its surroundings, it can never be created not destroyed.
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At what distance from the wire is the magnitude of the electric field equal to 2.41 n/cn/c ?
The correct answer is 1.07m.
The area surrounding an electric charge where its impact may be felt is known as the electric field. When another charge enters the field, the presence of an electric field may be felt. The electric field will either attract or repel the charge depending on its makeup. Any electric charge has a property known as the electric field. The charge and electrical force working in the field determine the strength or intensity of the electric field.
Here, is the charge per unit length, r is the distance from the wire, and
is the free space permittivity ε_0. Electric field due to the long straight wire is,
E= λ/2πε_0r
Rearrange the equation for r.
r=λ/2πε_0E
Substitute 2.41 N/C for E,
E=1.44×10^-10C/m
λ=8.85×10^-12C^2/Nm^2
r=(1.44×10^-10C/m)/(2(3.14)(8.85×10^-12C^2/Nm^2)(2.41N/C))
r=1.07m
At a distance of 1.07 m the magnitude of electric field is 2.41 N/C.
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7th GRADE SCIENCE QUESTION PLEASE ANSWER AS FAST AS YOU CAN I NEED IT (it can be 1 day late is fine... Ok I'll give you today like this minute and you can answer it when it is posted about 1-2 days but if you can answer it now that will be great)!!!
Question #1: State the role of a nucleus in a cell.
You push on a block on frictionless ice with a force of 8 n, causing it to accelerate at 2 m/s 2. the mass of the block is:________
The mass of the block is:_force
Given, force f=8N.
acceleration (a) = 2 m/s 2. Now, a cording to
Newtons Law of force where, me mass
or,
m-Ea
= 8 = 4kg
What is force ?
In physics, a force is a power that could exchange the motion of an item. A force can reason an item with mass to alternate its velocity (e.g. moving from a kingdom of relaxation), i.e., to accelerate. force also can be described intuitively as a push or a pull. A pressure has each significance and course, making it a vector amount. it's far measured within the SI unit of newton (N). force is represented by the symbol F (formerly P).
The original form of Newton's second regulation states that the net pressure acting upon an object is same to the price at which its momentum adjustments with time. If the mass of the item is consistent, this regulation means that the acceleration of an item is without delay proportional to the internet pressure performing on the item, is in the route of the net force, and is inversely proportional to the mass of the item.
principles associated with pressure include: thrust, which will increase the velocity of an item; drag, which decreases the velocity of an item; and torque, which produces changes in rotational velocity of an item.
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Two balls of masses 4kg and 2kg move towards each other with a velocity of 4ms-1 and -2ms-1 respectively. if after collision they stick together and move with +2ms-1, what is
The change in the momentum of the balls is -8 kg.m/s.
Initial momentum of the ballsThe initial momentum of the balls is calculated as follows;
Pi = 4 kg(4 m/s) + 2 kg(2 m/s)
Pi = 20 kg.m/s
Final momentum of the ballsPf = 2 m/s (4 kg + 2 kg)
Pf = 2 m/s (6 kg)
Pf = 12 kg.m/s
Change in momentum of the ballsΔP = Pf - Pi
ΔP = 12 kg.m/s - 20 kg.m/s
ΔP = -8 kg.m/s
Thus, the change in the momentum of the balls is -8 kg.m/s.
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The complete question is below:
What is is the change in momentum of the balls?
Question 6, “Some students observe drops of water falling from a tap that leaks, as shown in the diagram.
The students measure the time for 50 drops to fall from the tap. The time for 50 drops to fall is 20 seconds.
Calculate the average time between two drops falling.”
The average time between two drops falling t = 2/5 sec.
Equation :To calculate average time use formula,
t + t / product
So,
given,
time = 20 s
drops = 50
average time = ?
From this,
measured time for 50 drops = 20sec
Time required for 1 drop = 20/ 50
Average time between two drops = (2/5 + 2/5) / 2
Hence,
The average time between two drops t = 2 / 5
What is average time?Average Time on Page is a web analytics metric that gauges how long, on average, all website visitors stay on a single page. Only the average amount of time that users spend on non-exit pages is measured by this metric, which ignores exit pages and bounces.
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What phrase describes radioactivite decay
the splitting of a large nucleus into smaller nuclei is the phrase that describes radioactive decay
The process through which an unstable atomic nucleus loses energy through radiation is known as radioactive decay, also known as nuclear decay, radioactivity, radioactive disintegration, or nuclear disintegration. A substance with unstable nuclei is regarded as radioactive decay
The complete question is
Which phrase describes radioactive decay? (1 point)
the triggering of one reaction by the products of another
the joining of small nuclei into a laroid nucleus
o the splitting of a large nucleus into smaller nuclei
o the spontaneous emission of radiation
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The average atomic mass of 6li and 7li are 6.0151 amu and 7.0160 amu, respectively. calculate the natural abundances of 6li. the average atomic mass of li is 6.941 amu.
Average atomic mass = f1M1 + f2M2 +… + fnMn
where f is the fraction representing the natural abundance of the isotope and M is the mass number (weight) of the isotope.
let x be the fraction of ^6li ,
then fraction abundance of [tex]^7li[/tex] will be (1-x)
now applying above equation:
6.941 = x × 6.0151 +(1-x) 7.0160
1.0009x = 0.075
x = 0.0749
so % of [tex]^6li[/tex]= 7.49%
% of [tex]^7li[/tex]= 92.50%
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A transverse wave travels along a string. where are the points of maximum kinetic energy? at the points of zero displacement at the points of extreme displacement
A transverse wave travels along a string. where are the points of maximum kinetic energy.
At instantaneous t=T/4 and t=3T/4, the incident wave travels a distance threeλ/4 to the right and the pondered wave travels the equal distance at the string to the left. transverse The equal path difference some of the waves is lambda/2 or threeλ/2. therefore, crest of 1 wave falls on trough of the opposite and vice-versa. the resultant displacement at all factors is 0 and is represented via thick horizontal line in determine. transverse, all of the particles are passing simultaneously via their suggest position, however in a route opposite to the path at t=T/four.what's the temperature you want in Kelvin to start fusing hydrogen to heliumas the protostar profits mass, its middle receives hotter and extra dense. in some unspecified time in the future, transverse it's miles going to be hot sufficient and dense enough for hydrogen to begin fusing into helium. It needs to be 15 million Kelvin within the middle for fusion to start.Learn more about transverse https://brainly.com/question/13618693
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If the maximum e-component of an electromagnetic wave is 600 v/m, what is the maximum b-component?
the maximum e-component of an electromagnetic wave is 600 v/m then the maximum b-component is B = 2.0 * 10^-6 T.
What is electromagnetic wave?In terms of science, electromagnetic radiation is made up of electromagnetic field waves that are travelling through space while carrying radiant electromagnetic energy. It consists of X-rays, gamma rays, microwaves, infrared, light, and radio waves. These waves are all a component of the electromagnetic spectrum.
Em/Bm = c
Bm = c*Em
B = E/c
B = 600 V/m / 299,792,458 m/s
B = 2.0 * 10^-6 T
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Electron affinity is the energy associated with the gain of an electron by an atom in the gaseous state. Which element will release the most energy when gaining an electron?.
The element which release most energy while gaining an electron is Chlorine.
Chlorine has a higher affinity for electrons than fluorine does, despite the fact that fluorine is intended to have halogens with higher electron affinity .Therefore, chlorine has the highest electron affinity among the all elements in the group.
When an electron is added to a neutral atom to create a negatively charged ion, how much energy is released. Only a few chemical elements, primarily the halogens, have values available since it is difficult to determine the affinities of atom’s electrons.
Low melting and boiling points characterize the halogens. They all react with hydrogen to create acids. Salts are easily formed when they react with metals. Their outer shell contains seven valence electrons.
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Scientists are trying to create plasma in
An ionized plasma can be created in cyclotron with the help of superimposition of static magnetic field and electromagnetic field.
What is Plasma?Plasma is superheated matter. It is so hot that the electrons are ripped away from the atoms forming an ionized gas. It comprises over 99% of the visible universe.
Given in the question is about Plasma, which is also fourth state of matter.
Scientists are trying to create Plasma in cyclotrons. Cyclotron is a device that propels a beam of charged particles in a circular path. It is also called particle accelerator. Electron cyclotron resonance (ECR) occurs when the natural frequency of the rotating electrons coincides with the frequency of incident radiation. One method to produce ionized plasma is to superimpose a static magnetic field with the high frequency Electromagnetic field at the electron cyclotron resonance frequency.
Therefore, an ionized plasma can be created in cyclotron with the help of superimposition of static magnetic field and electromagnetic field.
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Describe the changes of energy in an electrical train as it approaches a station and breaks to halt
The changes of energy in an electrical train as it approaches a station and breaks to halt are potential energy → friction → heat and sound
- → friction on train wheels due to brakes reduces KE of train to zero
- → heat and sound to surroundings
What is energy?Energy, according to scientists, is the capacity for work. The ability to transform energy from one form to another and use it to perform tasks is what makes modern civilization possible. People utilize energy to travel by foot and bicycle, drive vehicles on land and in water, prepare meals on stoves, create ice in freezers, illuminate our homes and workplaces, create goods, and launch people into space.
Energy comes in a wide variety of forms, including:
HeatLightMotionElectricalChemicalGravitationalThese energies can be divided into two categories for working energy:
Potential or stored energyKinetic or working energyLearn more about energy
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calculate the moment of inertia of a skater given the following information. the 58.0–kg skater is approximated as a cylinder that has a 0.102–m radius.
The Moment of Inertia of skater of mass 58 Kg with approximated radius of 0.102 m will be 0.301 kg m².will be 0.301 kg m².
We have a 58 kg skater who is approximated as a cylinder that has a radius of 0.102 m.
We have to determine the Moment of Inertia of the of the skater.
What is Moment of Inertia? What is its general formula?Moment of inertia is the property of the body by which it resists angular acceleration. The general formula of Moment of Inertia is given by -
I = Σ m[i] r[i]².
According to the question -
Mass of skater = 58 Kg
Radius = 0.102 m
Now, the moment of inertia of the cylinder about the axis of cylinder is -
I = 1/2 MR²
I = 0.5 x 58 x 58 x 0.102 x 0.102
I = 1682 x 0.010404
I = 0.301 kg m²
Hence, the Moment of Inertia of skater of mass 58 Kg with approximated radius of 0.102 m will be 0.301 kg m².
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You drive for 30 minutes at 30 mi/hr and then for another 30 minutes at 50 mi/hr. what is your average speed for the whole trip?
The average speed for the whole trip will be 40 miles per hour.
What is the average speed?The average speed is the ratio of the total distance over the total time taken. Then the average speed is given as,
Average speed = (Total distance) / (Total time)
You drive for 30 minutes at 30 miles per hour. Then the distance covered will be
D₁ = 30 x 30 / 60
D₁ = 15 miles
And then for another 30 minutes at 50 miles per hour. Then the distance covered will be given as,
D₂ = 50 x 30 / 60
D₂ = 25 miles
Then the average speed for the whole trip will be
Average speed = (15 + 25) / (0.5 + 0.5)
Average speed = 40 / 1
Average speed = 40 miles per hour
Thus, 40 miles per hour will be the average speed for the whole trip.
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At a distance of 17 km, a 136 hz horn, assumed to be an isotropic point source, is barely audible. at what distance would it begin to cause pain?
At a distance of 1.7 cm, the horn will begin to cause pain.
The source is an isotropic point source.
Let the distance at which the horn is barely audible be
[tex]r _2.[/tex]
[tex]r _2= 17 km[/tex]
Let the distance at which the horn will cause pain to be
[tex]r _2.[/tex]
[tex]A _{phere} = 4\pi \times r ^{2} [/tex]
The intensity ratio between barely audible and painful threshold is,
[tex]I = \frac{P }{A}[/tex]
[tex] \frac{I _2}{I _1 } = \frac{\frac{P}{4\pi \times r ^{2} _2 } }{ \frac{ P}{4\pi \times r ^{2} _1 }} [/tex]
[tex] = ( \frac{r _1 }{r _2 } ) ^{2} [/tex]
[tex]10 ^{ - 12} \: is \: ratio \: of \: the \: intensity [/tex]
between barely audible and painful threshold.
So,
[tex] \frac{I_2 }{I _1 } =( \frac{r _1 }{r _2 } ) ^{2} [/tex]
[tex] \frac{I_2 }{I _1 } = 10 ^{ - 12} [/tex]
[tex]r _2 = 17000 \: m[/tex]
The distance at which the horn will begin to cause pain is,
[tex]r _1 = r _2 \sqrt{10 ^{ - 12} } [/tex]
[tex]r _1 = 17000 \sqrt{10 ^{ - 12} } [/tex]
[tex]r _1 = 0.017 \: m[/tex]
[tex]r _1 = 1.7 \: cm[/tex]
Therefore, at a distance of 1.7 cm horn will begin to cause pain.
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a pendulum clock runs fast, how should the length of the pendulum be adjusted to correct the problem?
If a pendulum clock is running fast, the length of the pendulum should be increased to correct the problem.
The time period of a simple pendulum clock is:
T= 2π√(l/g)
Where,
l is the length of the simple pendulum and g is the gravity.
From the formula, we can see that the time period is directly proportional to the square root of the length. Decreasing the length will decrease the time period and the clock will move faster.
In order to slow the clock, increase the length of the pendulum to increase the time period.
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