The Velocity V of Sound travelling along a road made of a material of young's modulus and density f is given by V=
\( \sqrt{} \)
r÷q



show that the formula is dimensionally Consistent.​

The best estimate uncertainty in the computation of the power is 39.8 W. By assuming that the confidence levels for the uncertainties in V and I are the same.

The maximum possible error in the power can be calculated using the formula

ΔPmax = √[(ΔV/V)^2 + (ΔI/I)^2] * P

Where ΔV/V and ΔI/I are the relative uncertainties in voltage and current respectively.

Given

V = 100 +/- 2V

I = 10 +/- 0.2A

Relative uncertainty in V = ΔV/V = 2/100 = 0.02

Relative uncertainty in I = ΔI/I = 0.2/10 = 0.02

Substituting the values in the formula, we get

ΔPmax = √[\(\sqrt{0.02}\) + \(\sqrt{0.02}\) ] * 1000 = 56.57 W

Therefore, the maximum possible error in the power calculation is 56.57 W.

The best estimate uncertainty in the computation of the power can be calculated as

ΔP = √[(ΔV/V)^2 + (ΔI/I)^2] * P/\(\sqrt{2}\)

Where sqrt(2) is the factor to convert from the standard deviation to the uncertainty at the 68% confidence level.

Substituting the values in the formula, we get

ΔP = √[\(\sqrt{0.02}\) + \(\sqrt{0.02}\) ]* 1000/\(\sqrt{2}\) = 39.8 W

Therefore, the best-estimate uncertainty in the computation of the power is 39.8 W.

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Answer:

The tabletop is smooth so my finger is down it fast and easy. The fabric however slowed my finger down considerably, and it was harder for me to move my finger across it.

Explanation:

Hope this helps.

The rug, carpet, or cloth offers more resistance to motion because of its rougher texture and higher friction.

Pushing on the surface: You'll probably experience some resistance when you push the plastic or wood over the surface. When compared to other surfaces, this opposition is, nevertheless, somewhat minimal. Since the tabletop often has a smoother surface, there is less friction. This makes it possible for the object to slide with very little resistance.

Pushing on a Rug, Carpet, or Piece of Fabric: In comparison to a tabletop, a rug, carpet, or piece of fabric will likely present you with substantially more resistance to your push. Since these surfaces typically have more texture and roughness, friction is enhanced.

In conclusion, the rug, carpet, or cloth offers more resistance to motion because of its rougher texture and higher friction, whereas the opposition to motion on the tabletop is often lower due to the smoother surface and lower friction. The difference in friction force between smooth and rough surfaces explains why items slide more readily on smooth surfaces. Friction has a significant impact on how things move and interact with various surfaces in daily life.

Hence, the rug, carpet, or cloth offers more resistance to motion because of its rougher texture and higher friction.

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We are unable to directly determine the work performed by the engine because the distance over which the force acts is unknown.

This indicates that the effort expended to increase the car's speed will be equivalent to the change in kinetic energy of the vehicle. Thus, 30 kJ of effort must be performed.

The work W is equal to the force f times the distance d, or W = fd, to mathematically describe this idea.

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The maximum weight limit for light-duty ladders depends on the specific ladder and its manufacturer's specifications. However, as a general guideline, light-duty ladders usually have a maximum weight limit of around 200 pounds.

It's important to note that exceeding the maximum weight limit of a ladder can be dangerous and may result in accidents or injuries. When using a ladder, it's essential to read and follow the manufacturer's guidelines and weight limits to ensure safe and proper use.

If the user's weight or the weight of the materials being carried exceeds the ladder's maximum weight limit, a heavier-duty ladder should be used instead.

In summary, the maximum weight limit for light-duty ladders is typically around 200 pounds, but it's important to check the manufacturer's specifications for the specific ladder being used.

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Answer:

9.8 meters per square second

Explanation:

Free Falling Object. the value of g is 9.8 meters per square second on the surface of the earth. The gravitational acceleration g decreases with the square of the distance from the center of the earth. But for many practical problems, we can assume this factor to be a constant.

The net direction on the cart, if a person pulls on a cart to the right with a force of 10n and a second person pulls to the left with a force of 3n, is 7n to the right.

The net force direction can be determined by finding the net vector sum of the forces acting on it.

Since the first person pulled the cart to the right with a force of 10n,

Assuming the right direction as positive, this force can be represented as a vector ⇒(+)10n

Similarly, as the second person pulls the cart to the left, the force can be represented as a vector ⇒ (-)3n,

∴ Net force = Net vector sum of the forces

                   =(+10n) + (-3n)

⇒Net force = +7n

Thus, the net direction on the cart, if a person pulls on a cart to the right with a force of 10n and a second person pulls to the left with a force of 3n, is 7n to the right.

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Answer: 7n

Explanation:

Answer: I think it's C.

Explanation:2D is only one side and 3D has length width and height

Answer:

3d

Explanation:

Answer:

Explanation: Astronauts on the orbiting space station are weightless because... a. there is no gravity in space and they do not weigh anything. ... space is a vacuum and there is no gravity in a vacuum.

Answer:

No I believe

Explanation:

If we rearrange the circuit so that the inductor and capacitor were connected in series,the impedance would be  Decreased and the resonant frequency would be unchanged.

What is frequency?

Frequency is the rate at which something occurs over a particular period of time or in a given sample.

Sol-An LC circuit is made up of an inductor (L) and a capacitor (C). At the resonance condition of the LC circuit, the inductive reactance XL. becomes equal to the capacitive reactance Xc.

It is defined as-

XL= 2πfL

Xc= 1/2πfC

So when reactance are equal we have-

XL=Xc

2πfL= 1/2πfC

f^2=1/4π^2LC

f=1/2π√LC

The resonance condition is the same for both the parallel and series LC circuit, so the resonance frequency will not change.

The impedance of a parallel LC circuit is:

Z(w)= jL w^2-w^2•/w

In a series LC circuit, when w

, the impedance becomes equal to 0.

Therefore the impedance of a series LC circuit will decrease and the resonant frequency will remain the same.

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Option b) Stomach is most likely to have the most muscles.

There are five main muscles in stomach pyramidalis, rectus abdominus, external obliques, internal obliques, and transversus abdominis.

Muscles circulate frame parts by contracting after which relaxing. muscular tissues can pull bones, however, they cannot push them to return to their unique role. so they paintings in pairs of flexors and extensors. The flexor contracts to bend a limb at a joint.

The muscle groups that circulate our frame elements are called skeletal muscles, and they're a form of striated muscle. We will actively manipulate those with our brains. another sort of striated muscle is those that maintain our hearts pumping, which we are not able to actively control.

Muscles pull at the joints, allowing us to move. a couple of muscular tissues are used for any sort of motion of a bone. Although we are sitting flawlessly nevertheless, muscle tissues at some point in the frame are constantly shifting.

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Answer:

1) correct answer is ii  larger size

2) false, 3) false, 4) true, 5) true, 6) true

Explanation:

In this exercise, the answer is asked if the statement is true.

1) in the rapid cooling speed, there is no thermodynamic equilibrium, so the secondary phases do not have time to transform into the main one, therefore many phases appear in the products,

the correct answer is ii

2) False. The transformation of a material to the glass state requires a fixed temperature and rapid changes to reach this temperature,

3) False. The most stable state is the crystalline state, the glass states are metastable, their Gibbs energy is not the lowest possible and they must transition to the crystalline state over time, it can be years or centuries.

4) True. The melting and freezing temperatures change for each material, within the same material it always has the same value, since it corresponds to a change in the state of the system.

5) true. Cast iron is called gray because of the impurities inside that have not had time to move due to rapid cooling.

6) True. The microstructure is reduced in the process of cooling and heating

The time taken for the bullet to hit the ground is 0.205 seconds.

The given initial speed of the bullet is 200.0 m/s and the initial height of the bullet above the ground is 1.00 m. The time taken for the bullet to hit the ground needs to be determined.To calculate the time it will take the bullet to hit the ground, we can use the kinematic equation:h = vit + 1/2gt²Where, h = height of the bullet above the ground, vi = initial velocity of the bullet, g = acceleration due to gravity and t = time taken for the bullet to hit the ground.

Given, h = 1.00 m, vi = 200.0 m/s, g = 9.81 m/s²Therefore,1.00 = 200t + 1/2 × 9.81 × t²1.00 = 200t + 4.905t²1.00 = t(200 + 4.905t)4.905t² + 200t - 1.00 = 0Solving for t by using the quadratic formula: t = (-b ± √(b² - 4ac))/(2a)Where, a = 4.905, b = 200, c = -1.00t = (-200 ± √(200² - 4 × 4.905 × -1.00))/(2 × 4.905)t = (-200 ± 198.9)/9.81t = (-200 + 198.9)/9.81 (rejecting the negative value as time cannot be negative)t = 0.205 seconds. Therefore, the time taken for the bullet to hit the ground is 0.205 seconds.

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Answer:4m

Explanation:

Thats the girls maximum speed

The proof  that if R is a field, then R has no nontrivial ideals is Let R be a field and let I be a nontrivial ideal of R. That is, I is not the zero ideal {0} and I is not equal to R.

Since I is an ideal of R, it is a nonempty subset of R that is closed under addition and scalar multiplication. Now, let a be any nonzero element of I. Since R is a field, there exists an inverse element a^-1 in R such that a*a^-1=1.

Since I is closed under scalar multiplication, we have that a^-1*a = 1 is also in I. But 1 is the multiplicative identity in R, so for any element b in R, we have that 1*b=b. This means that every element of R is also in I, so I=R.  Therefore, if R is a field, then R has no nontrivial ideals.

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The electric force between two or more charged objects depends on the charge and the distance between the charged objects

Coulomb's law states that the force of attraction or repulsion between two charged bodies is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. Coulomb's law shows the relationship between the force , charge and the distance between the bodies

therefore F= kq1q2/r²

where q1 is the charge of body 1 and q2 is the charge of body 2. r is the distance between them and k is called electrostatics constant which have a value of 9,×10⁹ Nm²/C²

Therefore what can affect the force between two charges are the product of the charge of the two bodies and the distance between the two charge.

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Answer:

250N

Explanation:

w = mg

m=25

g = 10

w=25x10

w=250

If a student is pulling on an object that has a mass of 25 kg across the floor. Assuming gravity to be 10 m/s², then the weight of the object would be 250 N , therefore the correct answer is option C.

It can be defined as the force by which a body attracts another body toward its center as the result of the gravitational pull of one body and another.

As given in the problem, a student is pulling on an object that has a mass of 25 kg across the floor. Assuming gravity to be 10 m/s2,

The weight of the object = 25 × 10

                                          = 250 N

Thus,  the weight of the object would be 250 N , therefore the correct answer is option C.

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For a panelboard with three 3/0 awg conductors attached to each busbar, the minimal space needed for wire bending at the top and bottom is 8 inches.

The bending space at the terminals must be measured using a straight line drawn from the end of the lug or wire connection to the wall, impediment, or obstruction.

The conductor cannot be bent, either during installation or later, to a radius that is less than 8 times the overall diameter for non-shielded conductors and 12 times the overall diameter for shielded or lead-covered conductors.

It is therefore 8 inches.

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There are 9 square feet in a yard.

A yard is a unit of measurement in the Imperial system that is used to measure length or distance. It is equal to three feet or 36 inches. However, when it comes to measuring an area, we have to multiply the length and width to get the area in square feet.

Therefore, a square yard has an area of 9 square feet. This conversion is commonly used in measuring the size of a lawn or garden. Knowing how many square feet are in a yard is essential for homeowners who want to buy sod, fertilizer, or other lawn care products.

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Answer: this is true

Explanation: another one is if it is disproved

Answer:

4

Explanation:

Not all plants can grow flowers. Only the ones thay have buds can.

Not all plants produce flowers. Hence, this is the characteristic which is not common in all plants.Therefore, the correct option is 4.

Flowers are the structures of plants. They are responsible for producing seeds that will grow into new plants. Flowers typically consist of a colorful or ornamental part called the corolla, which attracts pollinators such as bees and butterflies, and a reproductive part called the stamen and pistil, which contain the plant's male and female organs.

Not all green plants produce flowers. Flowering plants are a type of plant that belong to the group Angiosperms, but there are also non-flowering plants like ferns and mosses that do not produce flowers. Therefore, the correct option is 4.

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Answer:

1.0125 x 10^19

Explanation:

current flowing through conductive wire= 9mA = 9 x 10^ -3 A

charge passing per 3 min

Q = It

= 9 x 10^ -3 x (3 x 60)

= 1.620 C

no of electrons in charge

Q = ne

1.620 = n x 1.6 x 10 ^ -19

n. = 1.0125 x 10 ^19

The first line represents the emission lines of the spectrum.

In the electromagnetic spectrum, a line pattern is observed. This line pattern is something that is unique for every element and it is represented by the dip in the energy gap of the electrons revolving in the atoms.

Here, in the graph pattern attached, out of the six numbered lines, the line number one represents the emission lines because the electron are releasing their energy and going back to there own ground state level.

This emission when seen on the screen, it will be observed a unique pattern of the bright lines for that particular element.

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Answer:

Neil Armstrong was the astronaut

We are given that a skater starts at a height of 2 meters. If we do a balance of energy and assume that there is no friction or any other nonconservative forces we get:

Where:

We can cancel out the mass and the acceleration of gravity:

Substituting the initial height we get:

Therefore, on the other side, he will get to 2 meters in height.

The wavelength of the radiation is 2.93×10⁻⁷ m

Given,

The energy of photon E=6.78×10⁻¹⁹

now, E=hc/λ

λ=hc/E

=6.626×10⁻³⁴×3×10⁸/6.78×10⁻¹⁹

=2.93×10⁻⁷ m

Radiation is the emission or transmission of energy through a material medium or across space in the form of waves or particles.

According to the energy of the radiated particles, radiation is frequently classified as either ionizing or non-ionizing. Ionizing radiation has an energy level of more than 10 eV, which is sufficient to ionize atoms and molecules as well as rupture chemical bonds. Due to the significant difference in how destructive it is to living things, this is a crucial distinction. Ionizing radiation is frequently produced by radioactive substances that release radiation in the form of helium nuclei, electrons or positrons, or photons, respectively.

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Answer:

Mass and kinetic energy have a positive relationship, which means that as mass increases, kinetic energy increases, if all other factors are held constant.

In this state, Kinetic energy is equal to half of the product mass and velocity. SI unit is joules. So it's if the mass is doubled then the kinetic energy also gets doubled.

The first step is to convert the parallax angle of the star to distance. We can use the formula: parallax angle in arc seconds = (distance to star in parsecs)^-1 We can rearrange this equation to isolate distance: d = (parallax angle)^-1 Therefore, the distance to the star in parsecs is:

d = (0.0190 arcseconds)^-1 = 52.6 parsecs Next, we need to find the actual distance in meters. One parsec is equivalent to 3.09 × 10^16 meters. Therefore, the distance to the star in meters is: distance = (52.6 parsecs)(3.09 × 10^16 meters/parsec) = 1.63 × 10^18 meters Now, we can use the formula for time: d = vt Solving for time: t = d/v We are told to travel at half the speed of light, which is v = 0.5c, where c is the speed of light.

Therefore, the time to travel to the star is: t = (1.63 × 10^18 meters)/(0.5c) Using the speed of light, c = 3.00 × 10^8 m/s, we get: t = (1.63 × 10^18 meters)/(0.5 × 3.00 × 10^8 m/s)t ≈ 10.9 years Therefore, it would take about 10.9 years to travel to the star if traveling at half the speed of light.

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Answer:

They would be pointing in the same direction

Explanation:

If they were facing each other then it may seem like they are pointing in different directions they would still point the same way.

A patient has a temperature of 38.5 °C. The temperature in degrees Fahrenheit is e.101.3 °F.

To convert a temperature from degrees Celsius (°C) to degrees Fahrenheit (°F), you can use the following formula:
°F = (°C × 9/5) + 32
In this case, the patient has a temperature of 38.5 °C. Applying the formula, we have:
°F = (38.5 × 9/5) + 32
°F ≈ (69.3) + 32
°F ≈ 101.3
So, the patient's temperature in degrees Fahrenheit is approximately 101.3 °F. Therefore, the correct answer among the choices provided is option e.101.3 °F.

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To determine the mass enclosed within a radius of 25 kiloparsecs (kpc) in a spiral galaxy, additional information is needed, such as the rotation curve or the distribution of mass within the galaxy. Without this information, it is not possible to calculate the mass accurately.

The rotational speed of the gas in the disk of a spiral galaxy can provide insights into the overall mass distribution, but to determine the enclosed mass, the specific mass profile or the gravitational forces at different radii are required. A full understanding of the galaxy's mass distribution, including the contributions from visible matter (stars, gas) and dark matter, is necessary for accurate calculations.

Without more details or assumptions about the galaxy's mass distribution, it is not possible to determine the mass enclosed within a specific radius.

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