a 13 mm diameter round steel rod 11 m long supports a load of 23 kn. how much will it elongate? modulus of elasticity of steel is 196,500 kn/mm2 .

Answer:6000

Explanation:

Kinetic Energy is the energy an object has owing to its motion. In classical mechanics, kinetic energy (KE) is equal to half of an object's mass (1/2*m) multiplied by the velocity squared. For example, if a an object with a mass of 10 kg (m = 10 kg) is moving at a velocity of 5 meters per second (v = 5 m/s), the kinetic energy is equal to 125 Joules, or (1/2 * 10 kg) * 5 m/s2. We use Joules, kilograms, and meters per second as our defaults, although any appropriate units for mass (grams, ounces, etc.) or velocity (miles per hour, millimeters per second, etc.) could certainly be used as well - the calculation is the same regardless.

Short-circuit evaluation is only performed with the AND and OR operators.

Therefore, the given statement is False.

Short-circuit evaluation is another function of the logical OR operator; if the left-hand operand is true, the right-hand expression is not tested. The Boolean AND and OR operators short-circuit evaluate; that is, they only evaluate the expression to the right of the operator when it is required to ascertain the expression's final outcome. Short-circuit operators establish a sequence point because they fully assess the first argument, including any side effects, before (optionally) processing the second argument in imperative languages (particularly C and C++), where side effects are significant.

A programming concept known as short-circuiting allows the compiler to omit some logical expression sub-expressions execution or evaluation. As soon as the expression's value is established, the compiler halts evaluating the following subexpressions.

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The statement "All galvanic cells have the same cell potential because they are all referenced to the standard hydrogen electrode (SHE)" is false.

While it is true that the standard hydrogen electrode (SHE) is used as a reference to measure cell potentials of galvanic cells, it does not mean that all galvanic cells have the same cell potential. The cell potential, also known as electromotive force (EMF) or cell voltage, is determined by the difference in reduction potentials between the two half-cells in a galvanic cell.

The SHE is assigned a potential of 0 volts, and other half-cell potentials are measured relative to this reference. The cell potential of a galvanic cell is calculated by taking the difference between the reduction potential of the cathode (where reduction occurs) and the reduction potential of the anode (where oxidation occurs).

Different galvanic cells consist of different redox couples, resulting in varying reduction potentials. Consequently, these cells will have different cell potentials. It is important to note that the cell potential depends on the specific redox reactions taking place in the galvanic cell, as well as factors such as temperature and concentration of the involved species.

In summary, although the standard hydrogen electrode is used as a reference for measuring cell potentials, it does not lead to all galvanic cells having the same cell potential.

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The height of image of the person on the film is determined as 0.267 meters tall.

The height of the image formed is calculated by applying the formula for magnification of lens.

The given parameters;

The height of the image formed is calculated as follows;

(person's height) / (distance from person to hole) = (image height) / (distance from image to hole)

1.9 m / 6.0 m = h' / 0.85 m

h' = (1.9 m / 6.0 m) * 0.85 m

h' = 0.267 m

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Based on its orbit, two reasons to revoke Pluto's planetary status are its highly elliptical orbit and its inability to clear its orbit of other debris.

Pluto has a highly elliptical orbit, which means that its path around the Sun deviates significantly from a perfect circle. This is unlike the other planets in our solar system, which have more circular orbits. Additionally, Pluto has not cleared its orbit of other debris, which is one of the requirements for a celestial body to be considered a planet according to the International Astronomical Union (IAU). Instead, Pluto shares its orbit with other objects in the Kuiper Belt, a region of the solar system beyond Neptune that is filled with icy bodies.

The highly elliptical orbit and the inability to clear its orbit of debris are two factors that led to the reclassification of Pluto as a dwarf planet rather than a full-fledged planet.

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The average acceleration from 9 to 18 seconds is 6 meters per second.

The graph shows that from 9 to 18 seconds the speed of the ostrich stays at a steady 6 meters per second.

The equilibrium temperature when equal masses of the first and third liquids are mixed is 26°C.

To find the equilibrium temperature when equal mass of the first and third liquids are mixed, we can use the principle of heat transfer. When two substances with different temperatures are mixed, heat will flow from the warmer substance to the cooler substance until they reach thermal equilibrium.
Using the given information, we know that the first two liquids have an initial temperature difference of 14-9=5°C, and the second and third liquids have an initial temperature difference of 35.4-23=12.4°C. When the equal masses of the first and third liquids are mixed, they will also have an initial temperature difference of 38-9=29°C.
To find the final equilibrium temperature, we can set up the equation:
(mass of first liquid)(5°C) + (mass of third liquid)(29°C) = (total mass)(final temperature difference)
Since equal masses are mixed, we can simplify this to:
(mass)(17°C) = (mass)(final temperature difference)
Solving for the final temperature difference, we get:
final temperature difference = 17°C
Adding this to the initial temperature of the cooler liquid (9°C), we get the final equilibrium temperature:
9°C + 17°C = 26°C
Therefore, the equilibrium temperature when equal masses of the first and third liquids are mixed is 26°C.

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The equilibrium temperature is 26°C when the first and third liquids are joined in equal masses.

We may apply the theory of heat transfer to determine the equilibrium temperature when the first and third liquids are combined in equal amounts. Heat will transfer from one substance to the other when two substances with differing temperatures are combined until they attain thermal equilibrium.

The first two liquids have an initial temperature difference of 14-9=5°C, while the second and third liquids have an initial temperature difference of 35.4-23=12.4°C, according to the information provided.Due to the same masses of the first and third liquids, their initial temperatures will differ by 38-9=29°C when combined.

To find the ultimate equilibrium temperature, we can build the equation.

The formula is (total mass)(final temperature difference) = (mass of first liquid)(5°C) + (mass of third liquid)(29°C).

Equal masses are mixed together, thus we can summarise this as follows:

Mass times final temperature difference is mass times (mass)(17°C).

The ultimate temperature difference is determined as follows:

17°C is the difference in final temperature.

This is added to the 9°C beginning temperature of the cooler liquid to determine the ultimate equilibrium temperature:

9°C + 17°C = 26°C

26°C is the equilibrium temperature when the combined masses of the first and third liquids are equal.

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Answer:

1.67s

Explanation:

Given parameters:

Initial velocity  =  20m/s

Acceleration  = 6m/s²

Final velocity  = 30m/s

Unknown:

Time taken  = ?

Solution:

Acceleration is the rate of change of velocity with time. It is mathematically expressed as;

 Acceleration = \(\frac{v - u }{t}\)  

v is the final velocity

u is the initial velocity

 t is the time taken

            6  =\(\frac{30 - 20}{t}\)  

            6  = \(\frac{10}{t}\)  

              10  = 6t

              t  = 1.67s

Answer:

Force = 21.85N

Explanation:

Given the following data;

Mass = 2.3kg

Acceleration = 9.5m/s²

To find the force;

Force is given by the multiplication of mass and acceleration.

Mathematically, Force is;

\( F = ma\)

Where;

F represents force.

m represents the mass of an object.

a represents acceleration.

Substituting into the equation, we have

Force = 2.3 * 9.5

Force = 21.85N

Therefore, the force applied to the rat is 21.85 Newton.

The period is 2 seconds.

A period is a time taken to make one simple harmonic motion. It can be described as time divided by how many waves do. We can write the period formula as

T = t / n

where T is period, t is time and n is the amount of simple harmonic motions.

From the question above, we know that the mass travel up and down, it means that the cycle is one simple harmonic motion.

n = 1

t = 2s

Hence

T = t / n

T = 2 / 1

T = 2 second

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1.5m/s2

F=ma

a=F/m

a=60/40

a=1.5m/s2

The acceleration of the cart is 1.5 meter per seconds square.

Given the following data:

To find the acceleration of the cart, we would use Newton's Second Law of Motion.

Mathematically, Newton's Second Law of Motion is given by the formula;

\(Acceleration = \frac{Net\; Force}{Mass}\)

Substituting the given parameters into the formula, we have;

\(Acceleration = \frac{60}{40}\)

Acceleration = 1.5 meter per seconds square.

Therefore, the cart's acceleration is 1.5 meter per seconds square.

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The acceleration of the airboat  is 2.2m/s^2 and starting from rest, it take the airboat to reach a speed of 12.0 m/s is 5.45s

Given mass of airboat (m) = 3.50 x 10^2kg

horizontal force of engine (F) = 7.70 x 10^2N

We know that from newtons laws of motion Force = mass x acceleration such that F = ma

(a) Now a = F/m = 7.70 x 10^2 / 3.50 x 10^2 = 2.2m/s^2

(b) Initial speed of airboat (u) = 0m/s

final speed (v) = 12m/s

We have acceleration a = 2.2m/s

Then we have another newtons law as: v = u+ at where t is the time taken

So t = v/a = 12/2.2 = 5.45s

Hence it takes to reach 5.45s a speed of 12m/s

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Answer:

A, E, and G is the answer

Explanation:

Hope it helps

Answer:

7th grade in a year and I am not going for the same as a student from a school year or so cute cat that I don't have a lot to get for it is the greatest thing I can think they are you at the end a bit too far from your home or the other one that is the only thing that is a bit more expensive and

The force diagram of the given situation is shown below:

As you can notice, force due to the friction of the box with the flat surface is opposite to the applied force.

The cotton will fall slower than the heavy stone of same mass because of the density of the substances, which affects air resistance.

Air resistance is the action of friction that slows something moving through air.

It is worthy to note the air resistance is not dependent on the mass of an object but on the velocity and density of that object.

According to this question, a heavy stone and a cotton having same masses are dropped from certain height on the surface of the Earth.

Based on difference in densities, the cotton will fall slower than the heavy stone because the density of the stone is greater.

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Answer:

x=?

dt=?

vi=23m/s

vf=0m/s (it stops)

d=0.25m/s^2

time =

vf=vi+d: 0=23m/s+(0.25m/s^2)t

t=92s

displacement=

vf^2=vi^2+2a(dx)

23^2=0^2+2(0.25m/s^2)x =-1058m

Explanation:

you can find time from vf = vi + a(Dt): 0 = 23 m/s + (0.25 m/s/s)t so t = 92 s and you can find the displacement from vf2 = vi2 + 2a(Dx) and find the answer in one step: 232 = 02 + 2(0.25 m/s/s)x so x = -1058 m

Answer:

1058

Explanation:

This is the equation that is used : vf^2 = vi ^2 + 2ad

Answer:

Velocity of the car at the bottom of the slope: approximately \(20.3\; \rm m \cdot s^{-2}\).

It would take approximately \(3.9\; \rm s\) for the car to travel from the top of the slope to the bottom.

Explanation:

The time of the travel needs to be found. Hence, make use of the SUVAT equation that does not include time.

\(v^2 - u^2 = 2\, a\cdot x\).

Given:

Rearrange the equation \(v^2 - u^2 = 2\, a\cdot x\) and solve for \(v\):

\(\begin{aligned}v &= \sqrt{2\, a \cdot x + u^2} \\ &= \sqrt{2 \times 4.5\; \rm m \cdot s^{-2} \times 45\; \rm m + \left(3\; \rm m \cdot s^{-1}\right)^{2}} \\ &\approx 20.3\; \rm m \cdot s^{-1}\end{aligned}\).

Calculate the time required for reaching this speed from \(u = 3\; \rm m \cdot s^{-1}\) at \(a = 4.5\; \rm m \cdot s^{-2}\):

\(\begin{aligned}t &= \frac{v - u}{a} \\ &\approx \frac{20.3\; \rm m \cdot s^{-1} - 3\; \rm m \cdot s^{-1}}{4.5\; \rm m \cdot s^{-2}} \approx 3.9\; \rm m \cdot s^{-1}\end{aligned}\).

According to special relativity, time dilation occurs when an object moves at high speeds relative to an observer. In this scenario, the students on Spacecraft I are moving at 0.600 times the speed of light (c) relative to the Earth, while Spacecraft II, carrying the professors, moves at 0.280 c towards the students.

To determine the time interval as measured by the students, we need to take into account the time dilation effect. Time dilation states that time appears to run slower for objects moving at high speeds. The time dilation factor (γ) is given by γ = 1/√(1 - v^2/c^2), where v is the velocity of the object and c is the speed of light.

For Spacecraft I, γ = 1/√(1 - 0.600^2) = 1.25, and for Spacecraft II, γ = 1/√(1 - 0.280^2) = 1.04. This means that time on Spacecraft I appears to run 1.25 times slower than on Earth, while time on Spacecraft II appears to run 1.04 times slower than on Earth.

The professors stop the exam after 50.0 min on their clock. So, as measured by the students, the exam lasts for 50.0 min * (1.25/1.04) = 60.1 min.

Therefore, the exam lasts for approximately 60.1 minutes as measured by the students on Spacecraft I.

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The speed of the moving train is approximately 33.5 m/s.

The beat frequency is given by the difference in frequency between the two horns, which is equal to the Doppler shift in frequency due to the motion of the moving train. Using the formula for the Doppler effect, we can solve for the speed of the train:

\(f_b = f_s\dfrac{(v + v_o)}{(v + v_s)}\)

where \(f_b\) is the beat frequency, \(f_s\) is the horn frequency, v is the speed of sound, \(v_o\) is the observer's speed, and \(v_s\) is the speed of the source.

We know that \(f_s\) = 410 Hz and \(f_b\) = 35 Hz. The speed of sound in air at standard temperature and pressure is approximately 343 m/s. Since the observer is stationary, \(v_o\) = 0.

Solving for \(v_s\), we get:

\(v_s = \dfrac{(f_s + f_b)}{f_s - 1} \times v\)

\(v_s\) = ((410 Hz + 35 Hz) / 410 Hz - 1) * 343 m/s

\(v_s\) = 33.5 m/s

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The magnitude of the charge that is carried by each of the balloons is 7.6 *10^-7 C.

The link between the electric charges of two objects and the force acting between them is described by Coulomb's law, a fundamental principle of electrostatics.

We know that according to the Coulomb's law we can be able to write that;

F = Kq^2/r^2

k is a proportionality constant called Coulomb's constant, which has a value of approximately 9 x 10^9 N·m^2/C^2 in a vacuum.

0.0648 = 9x10⁹ q^2/(0.079524)

q = √0.0648 (0.079524)/9x10⁹

q = 7.6 *10^-7 C

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You want us to answer all of those or-??

Answer: a bridge suspended by cables

The components of the vector v are given as:

where v is the magnitude of the vector and theta is the angle.

In this case we have v=253 and theta=55.8°, plugging this values into the y component we have:

Therefore the y component is 209.25 meters.

Taking into account the definition of density, the volume of the sample of gold is 0.0646998 L.

Density is defined as the property that allows us to measure the amount of mass in a certain volume of a substance.

The expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

density= mass÷ volume

From this expression it can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.

In this case, you know that:

Replacing in the definition of density:

19.32 g/cm³= 1250 g÷ volume

Solving:

19.32 g/cm³× volume= 1250 g

volume= 1250 g÷ 19.32 g/cm³

volume= 64.6998 cm³= 0.0646998 L (1 cm³= 0.001 L)

In summary, the volume of the sample of gold is 0.0646998 L.

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The correct answer is d) 20%. Approximately 20% of the Earth's surface is covered in snow and ice.

This includes the polar ice caps, glaciers, and sea ice. The majority of the ice and snow cover is found in the polar regions, where it plays an important role in the Earth's climate and affects global sea levels.

It's worth noting that the amount of ice and snow cover on the Earth's surface is constantly changing due to various factors, including changes in temperature and precipitation, as well as human activities such as deforestation and greenhouse gas emissions.

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