12. The Highest Jump On A Pogo Stick Is Recorded At An Impressive 2.98 M. What Velocity Does The Person (2024)

He figure shows two unequal point charges, q and O. of opposite sign. Charge Q has greater magnitude charge q. In the regions X, Y, Z will there be a point at the net electric field due to these two charges is zero only region X .

What is magnitude charge?

The charge of the electron is equivalent to the magnitude of the elementry charge ( e ) but bearing a negative sign. Since the value of elementry charge ( e) is roughly =1. 6×10−19 Hence charge of electron is =−1. 6×10−19 so from here we can see the Magnitude of electronic charge is ∣e∣=1.

We can use the equation E = k | Q | r 2 E = k | Q | r 2 to find the magnitude of the electric field. The direction of the electric field is determined by the sign of the charge, which is negative in this case. E = k | Q | r 2 = ( 8.99 × 10 9 N ⋅ m 2 /C 2 ) | − 1.5 × 10 − 9 C | ( 0.035 m ) 2 = 1.1 × 10 4 N/C.electric charge comes in two types, which we choose to call positive charge and negative charge. This is the magnitude of the force which each charge exerts on the other charge .

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When viewed through the two telescopes, the upper star appears four times brighter than the lower star.

What is the luminosity of star?A star's luminosity is the amount of light it emits from its surface. The apparent brightness of a star is how bright it appears to a detector on Earth. The distinction between luminosity and apparent brightness varies with distance.A quick glance at the night sky above Earth reveals that some stars are noticeably brighter than others. However, the brightness of a star is determined by its composition as well as its distance from the planet.Astronomers describe stars using two different magnitudes. The apparent magnitude of a star is its brightness as seen from Earth. The magnitude scale is based on perceived brightness.

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The force the circus performer pulls on the rope in order for the beam to remain balanced is 548.8 N.

Non-concurrent forces are any two or more forces that have identical magnitudes but act in opposition to one another along the same axis. This kind of force system is followed by parallel forces. These forces do not meet in a single place. Therefore, the result couple is zero, or ∑M = 0.

Given the mass of the performer and alligator are 100 kg and 360 kg. Then, the weight of the performer (Wp) and alligator (Wa) is calculated as follows,

[tex]W_p=\mathrm{100\;kg\times 9.8\;m/s^2} = \mathrm{980\;N}\\W_a =\mathrm{ 360\;kg\times 9.8\;m/s^2} = \mathrm{3528\;N}[/tex]

Then the force (F) applied by the performer is,

[tex]\begin{aligned}\sum M &= 0\\\mathrm{3528\;N\times3\;m-980\;N\times 8\;m+F\times8\;m- F\times13\;m}&=0\\\mathrm{10584\;N.m-7840\;N.m-5\;m\times F}&=0\\\mathrm{5\;m\times F}&=\mathrm{2744\;N.m}\\\mathrm{F}&=\mathrm{548.8\;N}\end{aligned}[/tex]

The required answer is 548.8 N.

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The final velocity of the two joined objects after the collision would be 0 m/s (0)

This can be obtained by using the one-dimensional conservation of momentum equation, p = m1v1 + m2v2, where m1 and m2 are the masses of the two objects, and v1 and v2 are their initial velocities. Since the two objects are joined after the collision, the final velocities of both objects are the same. Therefore, if we set v2 to equal the negative of v1 and solve for v1, we get 0 m/s. This shows that the final velocity of the two joined objects is 0 m/s since the momentum of the system is conserved.

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The coiled spring has elastic potential energy when the door is open.

What kind of power is employed to open doors?

You have chemical potential energy (energy stored within you), and the motion of pushing the door with your hands had kinetic energy as well (energy in the motion of your hands). Your kinetic and potential energy were converted into mechanical energy when you pushed the door, which resulted in work being done (door opened).

Springs are constructed from substances like spring steel, which, when compressed, stretched, or twisted, reverts to its original shape. Elastic potential energy, which the spring stores when it is bent from its free state and then releases when the spring is unwound, is stored in the deformed state.

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Transcranial magnetic stimulation has been promoted as an important treatment for treatment-resistant depression.

Transcranial magnetic stimulation (TMS) has considered as one of the best treatment option for treatment-resistant depression. While current methods of data largely support efficacy of TMS for big depressive disorder, current research basically aims to enhance and amplify treatment parameters and methods and identify markers of treatment process response against the external given stimuli. Clomipramine is FDA approved to treat obsessions and compulsions in OCD. The current method for the treatment of the depression is far better than the old and traditional method of curing of depression. The new method cures the problem in a more fast and efficient way. It stops the membrane pump mechanism responsible for uptake against the downward of the chemical against the depression. Hence, we can consider that the Transcranial magnetic stimulation has been promoted as an important treatment for treatment-resistant depression.

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In order to strengthen the battery, we can alter it to include new metals with even greater differences in electronegativity. Electrons will then flow from Zinc to Lithium.

Three electron-related facts

Electrons in orbit that are negatively charged encircle the outside of the nucleus. Because they rotate so swiftly, it can be difficult for scientists to keep an eye on them. They are the smallest particles in an atom and therefore are drawn to the positive charges of protons; one proton can carry 2000 of them.

Give an example of the an electron.

An electron, that has a negative charge, is the smallest and least substantial part of an atom. Both the protons and electrons are equal in number in a neutral atom. For instance, a hydrogen atom only has one proton or one electron. While the atomic nucleus has 92 protons, which means 92 electrons.

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Aircraft speed in a windless environment is 276 mph. The wind is blowing at 25 mph.

Calculation:

Since distance and time have a relationship that represents speed, the speed against the wind;

Speed =1200/4.8

250 kilometers per hour is the speed

So, let x represent the wind speed.

Let y be the airborne object's windless speed.

y-x=250 (1) (1)

The speed now with the wind is as follows: y+x=300 x=300-y 1200/4=300 miles per hour.

So, to solve the system of equations, utilize the substitution approach. Replace (1) with (2) to get:

y-(300-y)=250\sy-300+y=250\s2y=550\sy=550/2\sy=275mph

knowing the plane's value in a windless environment. To determine the wind speed, replace y in (2):

x=300-275\sy=25mph

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The speed of proton when it travels towards negative plate is 3575 m/s.

Electric Field = E = 3400 n/c

Initial speed of proton = u = 0 m/s

Final speed of proton = v

Distance travelled by the proton = d = 0.20 cm

Charge of proton = q = 1.6 X 10⁻¹⁹ C

Mass of protons = m = 1.67 X 10⁻²⁷ Kg

Force acting on the proton = f =

= f = qE

= f = 1.6 X 10⁻¹⁹ X 3400

= f = 5.44 X 10⁻¹⁶ N

and,

= f = ma

= a = f/m

= a = 5.44 X 10⁻¹⁶ / 1.67 X 10⁻²⁷

= a = 3.25 X 10¹¹ m/s²

Now,

Time taken by the proton to travel = t =

= d = ut + (1/2)at²

Since proton is starting from rest;

= d = (1/2)at²

Thus, time taken to travel 0.20 cm is;

= t = √ (2d/a)

= t = √ (2 X 0.20 X 100 / 3.25 X 10¹¹)

= t = √ (0.123 X 10⁻⁹)

= t = 1.1 X10⁻⁷ s

Speed of proton after travelling the distance = v =

= v = u + at

= v = at

= v = 3.25 X 10¹¹ X 1.1 X10⁻⁷

= v = 3575 m/s

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Pound and Rebka did an experiment of general relativity to test Einstein’s theory. When two identical atomic clocks (one on the ground floor, one on the top floor) were compared, then: B. The clock on the top floor ran a tiny bit slower.

What is Einstein’s theory of general relativity of how gravity affects the pace of time?

General relativity is a theory of gravity capable of curving and warping space. Albert Einstein claimed that time is relative. It depends on how strong gravity affects it. The further an object is to the ground, the weaker the gravity and the slower the pace of time it experiences. That is why the clock on the top of a building runs a tiny bit slower than on the ground floor.

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Answer:

15284.35 Joules

Explanation:

Here is an equation we can use.

Work + Initial PE + Initial KE = Final PE + Final KE + heat lost

[tex]W+mgh_i+\frac{1}{2}mv_i^{2} =mgh_f+\frac{1}{2}mv_f^{2}+F_Fd[/tex]

Solving for W gives us.

[tex]W=-(mgh_i)-(\frac{1}{2}mv_i^{2}) +mgh_f+\frac{1}{2}mv_f^{2}+F_Fd[/tex]

In this case we can assume the initial height is 0. So there is no Initial PE.

We can assume the box started at 0 m/s. So there is no Initial KE

The box gained height as it moved up the incline. So there is Final PE.

We can assume the box moved at a constant speed. There was no acceleration on the box. So there is no Final KE.

[tex]F_F=F_N*u_k[/tex]

[tex]F_N=mgcos(B)[/tex]

[tex]F_F=mgcos(B)*u_k[/tex]

[tex]W=mgh_f+F_Fd[/tex]

[tex]W=mgh_f+mgcos(B)*u_k*d[/tex]

[tex]h_f=d*sin(B)[/tex]

[tex]W=m*g*d*sin(B)+m*g*cos(B)*u_k*d[/tex]

Lets solve for [tex]W[/tex]

We are given

[tex]m=200[/tex]

[tex]g=9.81[/tex]

[tex]B=20[/tex]

[tex]u_k=0.6[/tex]

[tex]d=8.6[/tex]

Replace the variables with our given numbers.

[tex]W=200*9.81*8.6*sin(20)+200*9.81*cos(20)*0.6*8.6[/tex]

[tex]W=15284.35[/tex]

According to the Nebular Theory of Solar System Function, the solid planetesimals are able to grow larger in the outer solar system than in the inner solar system because only metal and rock could condense in the inner solar system, while ice also condensed in the outer solar system.

Terrestrial planets formed where only dense materials could condense, which doesn't apply for Jovian planets. That's why they're rocky and small while the ones that couldn't condense dense materials are large and gaseous and found further away from the star.

The types of objects found within the solar system provide significant clues and evidence to support the Nebular Theory. First; the types of Planets and their distributions: with the Rocky planets being close to the Sun, and Gas Giants planets being far from the Sun, Dwarf Planets or Plutoids, a class of Dwarf planets, are found far from the Sun.

Next, Comets, asteroids, and meteorites recovered on Earth also provide a number of clues and evidence of Nebular-type development. And the motions of most solar system objects orbit and rotate in an organized fashion.

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The speed of light in this glass is 1.58 x 10^8 m/s.

To solve this problem we can use the law of refraction. This law states that the ratio of the sines of the angles of incidence and refraction is equivalent to the ratio of the velocities in the two media. So, the ratio of the sines of the angles of incidence (41.2°) and refraction (22.4°) is equal to the ratio of the speed of light in the air (c) and the speed of light in glass (v). Therefore, v/c = sin(22.4°)/sin(41.2°), Substituting this into the equation yields that v = (c*sin(22.4°))/sin(41.2°). Using the approximate value for the speed of light in the air of 3.00 x 10^8 m/s, we get a value of v = 1.58 x 10^8 m/s.

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As a result, the potential barrier of the two-deuteron system is 360 keV high.

What is the theoretical barrier height for a head-on collision of two deuterons ?

Let d be the distance between the centers of two deuterons.

The formula for the distance d between two deuterons is d=radius of one deuteron plus radius of two deuterons.

Fill in the blanks in the above equation.

d=2× 10 −15 +2× 10 −15 =4× 10 −15 m

A deuteron nucleus has a charge of e=1.6 10 19 C.

The two-deuteron system's potential energy is provided by,

V= e 2 4π ε ° d

In this case, 0 represents the permittivity of free space.

Substituting the numbers in the preceding equation yields:

V= e 2 4π ε ° d = ( 1.6× 10 −19 )

2 4×π×8.85× 10 −12 ×4× 10 −15 =360 keV

As a result, the potential barrier of the two-deuteron system is 360 keV high.

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Taking into account the Newton's second law, the acceleration of the 100 g mass is 50 m/s².

Newton's second law

Newton's second law states that this force will change the speed of an object because the acceleration and/or direction will change.

So, Newton's second law defines the relationship between force and acceleration mathematically. This law says that the acceleration of an object is directly proportional to the sum of all the forces acting on it and inversely proportional to the mass of the object:

F= m×a

where:

F = Force [N]m = Mass [kg]a = Acceleration [m/s²]

Acceleration in this case

In this case, you know:

F= 5 Nm= 100 g= 0.1 kg (being 1000 g= 1 kg)a= ?

Replacing in Newton's second law:

5 N= 0.1 kg× a

Solving:

a= 5 N÷ 0.1 kg

a= 50 m/s²

Finally, the acceleration is 50 m/s².

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Job stress caused by Isolation, a lack of job security, work overload, harassment, and bullying .Even a very challenging workout might cause this kind of tension.

Which of the subsequent describes eustress?

Smaller difficulties: Eustress might take the form of the thrill of a roller-coaster ride, a spooky movie, or a fun challenge. Even a very challenging workout might cause this kind of tension. fresh encounters: Traveling can be stressful as well.

What are some instances of typical stress?

The majority of normative stresses are predictable and expected and include difficulties that most people face (e.g., giving birth, marriage or retirement). Contrarily, non-normative stressors include unforeseen life occurrences that do not occur frequently during the life cycle.

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The moment of inertia,I of this assembly about the axis through which it is pivoted is [tex]I=x^2(m_1+m_2+\frac{m_r}{3})[/tex]

From figure,

we can observe that the data,

[tex]m_1[/tex] = sphere 1's mass

[tex]m_2[/tex] = sphere 2's mass

[tex]m_r[/tex] = the weight of the rod

x= the distance between sphere 1 and pivot

x= the distance between sphere 2 and pivot

2x = total length of the rod

We must determine the expression of the sphere's moment of inertia and the expression of the rod's moment of inertia.

The formula for moment of inertia of sphere is expressed as,

[tex]I=mr^2...i[/tex]

Where, m=mass of sphere

r=distance between sphere and pivot

The formula for moment of inertia of rod can be expressed as ,

[tex]I=\frac{ml^2}{12}....ii[/tex]

Where,

m=mass of rod

l=length of the rod

Substituting the values of sphere 1 and sphere 2 in the eq. i,

[tex]I_1=m_1x^2\\\\I_2=m_2x^2[/tex]

substitute the values of rod in the moment of inertia in eq.ii

[tex]I_r=\frac{m_r(2x)^2}{12}\\\\I_r=\frac{4m_rx^2}{12}\\\\I_r=\frac{m_rx^2}{3}[/tex]

Now, the total moment of inertia is the sum of all the inertias of spheres and the rod,

[tex]I=I_1+I_2+I_r\\\\I=m_1x^2+m_2x^2+\frac{m_rx^2}{3}\\\\I=x^2(m_1+m_2+\frac{m_r}{3})[/tex]

Hence, the moment of inertia of the whole assembly is [tex]I=x^2(m_1+m_2+\frac{m_r}{3})[/tex]

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Your question is incomplete, here is the complete question

what is the moment of inertia i of this assembly about the axis through which it is pivoted? express the moment of inertia in terms of mr , m1 , m2 , and x . keep in mind that the length of the rod is 2x , not x .

In a loop traverse the sum of the interior angles should be equal to 12, if it has 8 stations.

Traverse Surveying is a popular surveying method.

Traversing is a type of survey in which several connected survey lines form a skeleton, and the directions and lengths of the survey lines are measured using a protractor and a tape or chain.

Surveying is basically of two types:

Closed traverse: When the lines form a circuit that ends at the starting point, it is called a closed traverse.Open Traverse: When the lines forming a circuit end somewhere other than the starting point, it is said to be an open traverse.

The errors in the surveying can be found out by angles induced in transverse.

The sum of the measured internal angles should be equal to (2N-4), where N=number of sides of the traverse.

Number of stations = N = 8

Sum of the interior angles = (2N - 4)

Sum = (2*8 - 4)

Sum = 12

The sum of the interior angles should be equal to 12.

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The item must be positioned outside of the mirror's center of curvature. Since the focal point is closer to the mirror, the item must be farther away.

Where does the image originate when an object is positioned at the concave mirror's focal point?

when the concave mirror's object focus is on the object. As a result, the image is actual, inverted, and much amplified because it is generated at infinity.

What happens if you position anything precisely at a concave mirror's focus point?

No image is created when the object is at the focal point. The mirror will reflect light beams from the same spot on the object, preventing convergence or divergence.

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The four distinguishing lines of the red light that hydrogen atoms release are.

Define the hydrogen?

Hydrogen, pronounced "hy-dro-gen," is a nonmetallic gaseous chemical element with atomic number 1 and is the lightest and simplest of the elements. It is utilized in the processing of fossil fuels and the creation of ammonia, among other things.

Explore Chemical Elements Compare deuterium with tritium in the table. The most fundamental member of the chemical element family is hydrogen (H), a colorless, odorless, tasteless, combustible gaseous material. The term is derived from the Greek words "hydro" and "genes," which indicate "formation of water."

In addition to yellow, turquoise, and pink hydrogen, there is also green, blue, and brown hydrogen. To distinguish between the various forms of hydrogen, they are essentially employed as color codes or nicknames in the energy sector.

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An object have a nonzero instantaneous acceleration during projectile motion is because the gravitational force acting on the body is in the downward direction.

For a projectile motion, the gravitational force following up on the body is in the descending bearing. Hence, the body in a shot movement has speed increase because of gravity 9.8 m/s2. It should be noticed that no power is following up on the body in the shot movement in the flat heading.

At the point when a molecule is tossed diagonally close to the world's surface, it moves along a bended way under consistent speed increase coordinated towards the focal point of the earth (we expect that the molecule stays near the world's surface). The way of such a molecule is known as a shot, and the movement is called shot movement.

In a projectile motion, there are two synchronous free rectilinear movements:

Along the x-pivot: uniform speed, answerable for the flat (forward) movement of the molecule.

Along the y-pivot: uniform speed increase, answerable for the vertical (downwards) movement of the molecule.

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a) The frequency would a 1.6-ft-long nylon string that has a thickness of 3/32 in produce if put under an equal tension is 3.74 x [tex]10^{-5}[/tex] kg/m.

b) The frequency would a 1.6-ft-long nylon string that has a thickness of 3/32 in produce if put under one-third of the original tension is 0.577.

The frequency of a string under tension is given by the equation f = (1 / 2L) × √(T / mu)

where f is the frequency, L is the length of the string, T is the tension in the string, and mu is the linear mass density of the string.

To calculate the frequency of a 1.6-ft-long nylon string with a thickness of 3/32 in, we need to first determine the linear mass density of the string. The linear mass density of a string is given by the formula:

mu = (m / L) = (p × A) / L

where mu is the linear mass density, m is the mass of the string, p is the density of the material of the string, A is the cross-sectional area of the string, and L is the length of the string.

The density of nylon is approximately 1.15 g/cm^3, and the cross-sectional area of the string can be calculated from its thickness:

A = (3/32 in)² × pi = 0.0293 in²

Converting the length of the string to inches, we get:

L = 1.6 ft × 12 in/ft = 19.2 in

Substituting these values into the equation for linear mass density, we get mu = (1.15 g/cm³ × 0.0293 in²) / 19.2 in = 0.00146 g/in

Converting this to the units used in the frequency equation, we get mu = 0.00146 g/in × 1 kg/1000 g × 1 m/39.37 in = 3.74 x [tex]10^{-5}[/tex] kg/m

Now that we have calculated the linear mass density of the string, we can use the frequency equation to determine the frequency of the string under different tensions.

(a) If the string is put under equal tension, the frequency is given by f = (1 / 2L)

b) The original tension in the string is T and the string is put under a tension of T/3, the frequency will be reduced by a factor of √(1/3) = 0.577, or about 58% of the original frequency.

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A transversal divides two parallel lines. Angles 1, 3, and 5 make comprise the 43° group of angles.

Is two lines are cut by a transversal?

Each set of alternate internal angles created by a transversal when two parallel lines are sliced are equal. Each pair of internal angles on the same side of the transversal are supplementary, or they add up to 180 degrees, if two parallel lines are sliced by it.

If the corresponding angles at the intersection of any two lines are equal, the intersection is said to be a parallel one. If the opposing interior angles of any two lines intersected by a transversal are equal, the lines are said to be parallel.

Given : A pair of parallel lines is cut by a transversal.

∠1 + 137 ° = 180° ( Linear pair angle ) .

On subtracting both sides by 137

∠1 = 180 -137 .

∠1 = 43°.

Then, ∠1 = ∠3 ( Vertically opposite angles)

So, ∠3 = 43°.

Now, ∠3 = ∠5 ( Alternate interior angle ) .

So, ∠5 = 43°.

group of angles measures 43° = angle 1 , 3 , 5.

Therefore, the correct answer is option C) angles 1, 3, 5.

The complete question is:

A pair of parallel lines is cut by a transversal. Which group of angles measures 43°?

A. angles 1, 2, 3

B. angles 2, 5, 4

C. angles 1, 3, 5

D. angles 5, 6, 7

E. angles 3, 4, 6

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Bob will win the race.

What is Newton's 2nd law?According to Newton's Second Law of Motion, when a force applies on a mass, the mass accelerates (gains speed)(object) . A nice example of this law of motion in action is when you are riding your bicycle. Your bicycle makes up the bulk. The force is generated by your leg muscles as they press against the bicycle's pedals.The law of force and acceleration is another term for Newton's second law.According to the second law, an item will require more force to accelerate the more mass it has. In fact, the formula F=ma states that force is equal to mass times acceleration. This also implies that a ball will travel farther the harder you kick it.

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frequency as the train approaches is = 236.6 hz, frequency while it recedes is = 195.3 hz .

How quickly does sound travel across water and air?

In contrast to air, sound travels more quickly in water.Under normal circ*mstances, the speed of sound is around 343 m / sec, while the sound speed in water is approximately 1,480 m / sec.

From whence does Mach 1 originate?

In a speech given in Zurich in 1929, Swiss scientist Jakob Ackeret suggested the use and naming of Mach numbers.Ackeret gave the number Ernst Mach's name after the physicist, who in 1887 experimented by taking a photograph of a moving object faster than the rate of sound.

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The shortest wavelength of radiation emitted by the tungsten target is 187 nm.

The shortest wavelength of radiation emitted by the tungsten target is determined by the energy of the electrons that strike the target. The energy of the electrons can be calculated using the equation:

E = qV

where E is the energy of the electrons, q is the charge of the electrons (1.60 x [tex]10^{-19}[/tex] C), and V is the potential difference through which the electrons are accelerated.

In this case, V = 63.6 kV = 63.6 x [tex]10^3[/tex] V, so the energy of the electrons is:

E = 1.60 x [tex]10^{-19}[/tex] C * 63.6 x [tex]10^3[/tex] V = 1.02 x [tex]10^{-15}[/tex] J

The shortest wavelength of radiation emitted by the tungsten target is then determined by the energy of the electrons using the equation:

lambda = hc / E

where lambda is the wavelength of the radiation, h is the Planck constant (6.63 x [tex]10^{-34}[/tex] J s), c is the speed of light (2.998 x [tex]10^8[/tex] m/s), and E is the energy of the electrons.

Substituting the values into this equation, we get:

lambda = 6.63 x [tex]10^{-34}[/tex] J s × 2.998 x [tex]10^8[/tex] m/s / 1.02 x [tex]10^{-15}[/tex] J = 1.87 x [tex]10^{-7}[/tex] m

Converting this to nanometers (nm), we get:

lambda (nm) = 1.87 x [tex]10^{-7}[/tex] m * [tex]10^{9}[/tex] nm/m = 187 nm.

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if the mass is pulled to the right and then released, how long will it take for the mass to reach the leftmost point of its motion is [tex]s \theta I \mathrm{sec}[/tex].

What is mass?

A body's mass is an inherent quality. Before the discovery of the atom and the field of particle physics, it was conventionally thought to be related to the amount of matter in a physical body.

We can see

[tex]- $x_{\text {man }}$[/tex] is right meat position

[tex]$-x_{\text {mar }}$[/tex] is left most position.

If mass is released at rightmost petition then it will come again to rightmost in two sec.

But it will be at leftmost position in[tex]$T / 2$[/tex] time de. I sec

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The height of the tree limb is 6.28m.

Mass of scientist = M = 55 Kg

Mass of antelope = m = 21 Kg

Acceleration due to gravity = g = 9.8 m/s²

Initial height = h = 12 m

Speed = v

Using the law of Energy Conservation;

= Total Energy = Kinetic Energy + Potential Energy

= E = (1/2)mv² + mgh

Initially, Jane is on the ground, so the altitude is h=0 and the potential energy is zero: U=0. She's running with speed v, so she has kinetic energy only:

= E = (1/2)mv²

Then she grabs the vine, and when she reaches the maximum height h, her speed is zero: v=0, and so the kinetic energy becomes zero: K=0. So now her mechanical energy is just potential energy:

= E = mgh

But E must be conserved, so the initial kinetic energy must be equal to the final potential energy:

= (1/2)mv² = mgh

Now,

Equating both the heights,

= h₂ = ( M / M+m ) X h₁

= h₂ = (55 / 55 +21) X 12

= h₂ = 6.28 m

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It is more likely that the block of wood will be knocked over if the bullet is metal and embeds itself in the wood.

What is metal?

Metal is a type of material that is made up of one or more metallic elements such as iron, nickel, and copper. It is usually a solid, hard material that is difficult to break or bend. Metal is often used for construction, decoration, and various other purposes.

The impact of the metal bullet will be more intense and will cause the wood to be pushed back due to the force of the impact. The rubber bullet, on the other hand, will not carry the same amount of force, and will likely only cause the wood to vibrate and not be tipped over. The metal bullet will embed itself in the wood, creating a much larger surface area for the impact to occur and thus the force of the impact will be greater. The rubber bullet will bounce off the wood, and while it may still cause the wood to vibrate, it is unlikely to cause the wood to be knocked over.

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The phases in the history of cosmic evolution from earliest to most recent. Cosmic evolution:

Cosmic evolution is an inclusive working hypothesis that strives to integrate the big and the small, the near and the far, the past and the present, into a unified whole.

Starting with the initial matter and energy, the universe progresses through stages of particulate, galactic, stellar, planetary, chemical, biological, and cultural evolution.

- Particulate - primal energy into elementary particles

- Galactic - atoms into galaxies and stars

- Stellar - stars into heavy elements

- Planetary - elements into solid, rocky planets

- Chemical - elements into building blocks of life

- Biological - molecules into life itself

- Cultural - advanced life forms into intelligence

And the nature of the universe is such that it underwent several stages of evolution, if you will, over its lifetime. These major stages - the radiation era, recombination epoch, and reionization - will be covered right now.

Cosmology is a branch of metaphysics that deals with the nature of the universe, a theory or doctrine describing the natural order of the universe. The basic definition of Cosmology is the science of the origin and development of the universe. In modern astronomy, the Big Bang theory is the dominant postulation.

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