a cylindrical disk of inertia 0.25kgm2 rotates at a constant angular speed of 4rad/s. what is the rotational kinetic energy of the disk?

Answer:

-4m/s²

Explanation:

Given parameters:

Initial velocity  = 9m/s

Final velocity  = 1m/s

Time taken  = 2s

Unknown:

Acceleration  = ?

Solution:

The acceleration of a body is the change in velocity of a body with time.

    Acceleration  = \(\frac{Final velocity - Initial velocity }{time}\)

Insert the parameters and solve;

    Acceleration  = \(\frac{1 - 9}{2}\)  = -4m/s²

We can say, the car is decelerating at a rate of 4m/s²

When we convert 4900mm from two-step dimensional analysis it would be 490 cm and 5.59kL to 5923.667 quarts.

Dimensional Analysis is a technique for analysis where physical quantities are expressed in terms of their basic dimensions and is frequently applied when there is insufficient data to create accurate equations.

As given in the problem we have to convert

4900mm to cm

As we know that there  are 1000 mm in 1 m

1000 mm = 1 m

4900 mm = 4.9 m

1 m = 100 cm

4.9 m = 4.9×100

          =490 cm

As we have to convert 5.59kL to quarts

1 Kiloliter =  1056.69 US liquid quart

5.59kL    = 5.59 ×1056.69 quarts

               =5923.667 quarts

Thus, we converted 4900mm to 490 cm and 5.59kL to 5923.667 quarts.

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Answer:

C. Hot pavement burning your feet

Explanation:

Convection is a type of process where heat travels upwards and cold travels downwards.

The charge concentration in \(c/m^{2}\) due to the positive charge carriers is:
ρ = Q/V = (nq)/V

To calculate the charge concentration in \(c/m^{2}\) due to the positive charge carriers, we need to know the number of positive charge carriers per cubic meter and the charge of each carrier.

Let's assume that the number of positive charge carriers per cubic meter is n and the charge of each carrier is q. Then, the total charge per cubic meter due to the positive charge carriers is Q = nq.

Expressing this in coulombs per cubic meter, we have:

Q/V = (nq)/V = ρ

where ρ is the charge concentration in coulombs per cubic meter and V is the volume.

Therefore, the charge concentration in \(c/m^{2}\) due to the positive charge carriers is:

ρ = Q/V = (nq)/V

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1.) The AMA is 2.5

2.) The VR is 5.

3.) The efficiency is 50%.

Given that the object has a weight of 250 N and the effort needed to push it up the ramp is 100 N, we can calculate the AMA as follows:

AMA = Load / Effort

AMA = 250 N / 100 N

AMA = 2.5

Therefore, the AMA is 2.5.

To calculate the VR, we need to find the distance moved by the effort and the distance moved by the load. The distance moved by the effort is the length of the ramp, which is 50 m. The distance moved by the load is the height it is raised, which is 10 m. Therefore, we have:

VR = Distance moved by effort / Distance moved by load

VR = 50 m / 10 m

VR = 5

Therefore, the VR is 5.

To calculate the efficiency, we need to find the work done by the load and the work done by the effort. The work done by the load is:

Work done by load = Load x Distance moved by load

Work done by load = 250 N x 10 m

Work done by load = 2,500 J

The work done by the effort is:

Work done by effort = Effort x Distance moved by effort

Work done by effort = 100 N x 50 m

Work done by effort = 5,000 J

Therefore, the efficiency is:

Efficiency = (Load x Distance moved by load) / (Effort x Distance moved by effort)

Efficiency = (2,500 J) / (5,000 J)

Efficiency = 0.5 or 50%

Therefore, the efficiency is 50%.

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The electric field strength at a distance of 1.20 m on the x-axis is -1.5 × 10⁴ N/C.

To find the electric field strength at a distance 1.20 m on the x-axis, we can use Coulomb's law:

\($$F=k\frac{q_1q_2}{r^2}$$\)

where F is the force between two charges, q1 and q2 are the magnitudes of the charges, r is the distance between the charges, and k is the Coulomb constant.For a single point charge q located at the origin of the x-axis, the electric field E at a distance r is given by:

\($$E=\frac{kq}{r^2}$$\)  where k is the Coulomb constant.

So, let's calculate the electric field due to each charge separately and then add them up:

For the +2.0 C charge at x = 0, the electric field at a distance of 1.20 m is:\($$E_1=\frac{kq_1}{r^2}=\frac{(9\times10^9)(2.0)}{(1.2)^2}N/C$$\)

For the -3.0 C charge at x = 0.40 m, the electric field at a distance of 1.20 m is:

\($$E_2=\frac{kq_2}{r^2}\)

\(=\frac{(9\times10^9)(-3.0)}{(1.20-0.40)^2}N/C$$\)

The negative sign indicates that the direction of the electric field is opposite to that of the positive charge at x = 0.

To find the net electric field, we add the two electric fields\(:$$E_{net}=E_1+E_2$$\)

Substituting the values of E1 and E2:

\($$E_{net}=\frac{(9\times10^9)(2.0)}{(1.2)^2}-\frac{(9\times10^9)(3.0)}{(0.8)^2}N/C$$E\)

net comes out to be -1.5×10⁴ N/C.

Therefore, the electric field strength at a distance of 1.20 m on the x-axis is -1.5 × 10⁴ N/C.

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Answer:

this was 2 weeks ago, but im pretty sure the correct answers are:

B=c

C=d

D=b

hope this helps and is correct :)

False. The greatest number of galaxies do not belong to the type known as elliptical galaxies. In fact, the most common type of galaxy in the universe is the spiral galaxy.

Spiral galaxies are characterized by their distinctive spiral arms, which contain young stars, gas, and dust. These galaxies have a central bulge and a rotating disk. Examples of spiral galaxies include our own Milky Way galaxy and the Andromeda galaxy.

Elliptical galaxies, on the other hand, have a more rounded or elliptical shape and lack the prominent spiral arms. They are often reddish in color and have older populations of stars. Elliptical galaxies are typically found in galaxy clusters and are thought to have formed through galaxy mergers and interactions.

While elliptical galaxies are still abundant in the universe, they are not the most numerous type. Studies and observations have shown that spiral galaxies outnumber elliptical galaxies by a significant margin. This is supported by surveys and statistical analyses of large samples of galaxies in different regions of the universe.

The distribution and abundance of galaxy types can provide valuable insights into the formation and evolution of galaxies over cosmic time. Understanding the prevalence of different galaxy types helps astronomers piece together the story of how galaxies form, grow, and interact with their environments.

In conclusion, the statement that the greatest number of galaxies belong to the type known as elliptical galaxies is false. The most common type of galaxy in the universe is the spiral galaxy.

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Answer:

There are two main ways to determine the age of a rock, these are Relative dating and Absolute dating. Relative dating is used to determine the relative order of past events by comparing the age of one object to another.

Explanation:

Explanation:

rock and fossils are made by layers of dirt, sand,organic matter that has beem compressed over thousands,if not millions of years.

some scientists use this layering to determine how old the earth is.

its kind of like looking at the rings of a tree to see how old it is.

the scientists look at each layer of the rock or fossil and use what they already know about when this type of soil or organic matter existed and try to piece together the past

Kinetic energy: 1/2 * m * v^2

Where:

h0=337m

hA = 17 m

hB = 157 m

hC = 317 m

Initial energy = final energy

PE0 + KE0 = PE2 + KE2

KE0 = velocity = 0

KE= 1/2 mv^2 = 0

PE0 = initial potential energy = mgh

m=mass

h=height

g= gravity= 10 m/s^2

For point A.

Instead oh h0=337 and hA=17m we can state that

H0=337-17 = 320

HA= 0 (so PEA=0 )

PE0 = KEA

mgh0 =1/2 m va^2

gh0 = 1/2 va^2

10 * 320 = 1/2 va^2

√(10 * 320)*2 = va

va = 80 m/s

Same process for point B

mgh0 = 1/2 m vb

g h0 = 1/2 vb

10 * 180 = 1/2 vb^2

√(10 * 180)*2 = vb

vb= 60 m/s

Point C:

H0=337-317=20

vc= √(10 * 20)*2

vc= 20 m/S

√

The angle of refraction will be 26.4°

Organic substances include ethanol. With the chemical formula C2H6O, it is a straightforward alcohol. Its chemical formula can also be expressed as C2H5OH or CH3CH2OH. Ethanol is a volatile, flammable, colorless liquid with a pronounced wine-like aroma and unpleasant taste.

The angle of incidence is the angle formed by an incident ray and the normal, or line perpendicular to the incident surface, at its point of incidence. Any type of wave, including optical, acoustic, microwave, X-ray, and others, can create a ray.

Refraction is the path of a light wave being bent as it crosses the divide between two media. Refraction results from a wave's change in speed when it encounters a change in medium.

The angle of refraction, which depends on the material's refraction index, is the degree by which this light bends away from or toward the normal line. Each type of material has its own constant known as the refraction index. The amount that an incident light beam is refracted as it passes through directly affects it. It is frequently represented as n and may be calculated by dividing the velocity of light moving through the medium (v) by the speed of light in a vacuum (c):

n = c / v

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The correct answer is Position D where bob has the maximum speed.

Where is the peak kinetic energy during a pendulum swing?

At its lowest point, when the weight is travelling the quickest, an active pendulum possesses the highest kinetic energy. The total of kinetic and potential energy, or mechanical energy, is always present in an ideal pendulum system.

The restoring force is therefore directed in the same direction as the bob is travelling, to the right. The bob will gain speed as a result of this push, reaching its top speed at point D, which is the equilibrium position.

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Explanation:

Your body uses chemical energy every day to perform daily tasks. Food contains calories and when you digest food, the energy is released. The molecules in food are broken down into smaller pieces. As the bonds between the atoms break or loosen, oxidation occurs.The chemical reaction involved in digestion supplies you with warmth, helps to maintain and repair your body and gives you the energy you need to move around.

The electric charge the capacitor store now is  0.065 C.

What is a capacitor?

A capacitor is a device that uses the accumulation of electric charges on two nearby surfaces that are electrically isolated from one another to store electrical energy in an electric field. It has two terminals and is a passive electrical component. referrer=search Results refers to a capacitor's effect. Initially when switch S is open for a long time the charge stored on the capacitor is given by the following equation.

The solution to this question is too large so I am adding this screenshot kindly check the attachment:

Now final charge on the capacitor after closing the switch for a long time

Q = CE

Q = 3.65*10^{-3}*17.76= 0.065 C

Hence, the electric charge the capacitor store now is  0.065 C.

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Answer: Subtractive colors absorb OR subtract some lights causing it to reflect, and creating white.

Explanation:

Subtractive colors are created by completely or partially absorbing (or subtracting) some light wavelengths and reflecting others.

The horizontal component is 0.72 N to the right.

The amount of static friction is inversely proportional to the amount of normal force and the degree of roughness between the sliding surfaces. The friction coefficient is calculated by dividing the frictional force's magnitude by the force's normal force.

The applied force must be greater than the friction force since the net force is to the right (in the direction of the applied force). Understanding net force as the vector sum of all the forces can help you calculate the friction force.

Given , F = 1.2 N and mass = 1 kg

we will you F - цN = ma ------- 1

and equate it with the equation ma = mg + N

After substituting the values

We will get the value of acceleration as 0.4 \(m/s^2\)

Substitute this value in equation 1

and we will get ц = 0.72 N

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Answer:

The force, exerted by Big Ben on the Empire State Building is 2.66972 × 10⁻⁷ N

Explanation:

The question relates to the force of gravity experienced between two bodies

The given parameters are;

The mass of Big Ben, M₁ = 1 × 10⁸ kg

The mass of the Empire State Building, M₂ = 1 × 10⁹ kg

The distance between the two Big Ben and the Empire State Building, r = 5,000,000 meters

By Newton's Law of gravitation, we have;

\(F=G \times \dfrac{M_{1} \times M_{2}}{r^{2}}\)

Where;

F = The force exerted by Big Ben on the Empire State Building and vice versa

G = The universal gravitational constant = 6.67430 × 10⁻¹¹ N·m²/kg²

M₁, M₂, and r are the given parameters

By plugging in the values of the parameters and the constant into the equation for Newton's Law of gravitation, we have;

\(F=6.67430 \times 10^{-11} \times \dfrac{1 \times 10^8 \times 1 \times 10^9}{(5,000,000)^{2}} = 2.66972 \times 10^{-7}\)

The force, 'F', exerted by Big Ben on the Empire State Building is F = 2.66972 × 10⁻⁷ N.

The initial velocity of the mass does not affect the period of the oscillation. Therefore, the period remains the same regardless of the initial velocity.

The period of an oscillating mass-spring system is given by the formula.

T = 2π√(m/k)

where:

T is the period,

m is the mass of the object,

k is the spring constant.

In this case, the mass and the spring constant remain the same, but the initial velocity of the mass changes. We can assume that the amplitude of the oscillation remains the same.

Let's denote the initial velocity as v and 2v, and the corresponding periods as T1 and T2, respectively.

For initial velocity v:

T1 = 2π√(m/k)

For initial velocity 2v:

T2 = 2π√(m/k)

We can see that the periods T1 and T2 are the same since the mass and the spring constant are unchanged. The initial velocity of the mass does not affect the period of the oscillation.

Therefore, the period remains the same regardless of the initial velocity.

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Answer:

White light is a combination of all colors in the color spectrum.

Explanation:

It has all the colors of the rainbow. Combining primary colors of light like red, blue, and green creates secondary colors: yellow, cyan, and magenta

Answer:

tectonic plate aka the rocks the move due to magma aka lava under the earths crust

Explanation:

1. The data shows that amplitude, period, and tension all affect the speed of a wave. As amplitude and tension increase, the speed of the wave increases, while an increase in period results in a decrease in speed.

What is an amplitude?

Amplitude is the maximum displacement or distance moved by a wave from its resting position. In other words, it is the magnitude of the oscillation in a wave, or the height of a wave from its equilibrium position. In general, the greater the amplitude of a wave, the more energy it carries. In the context of sound waves, amplitude is associated with the loudness of the sound, while in the context of electromagnetic waves (such as light), it is associated with the brightness or intensity of the light.

2. The frequency of a wave has a direct relationship with the wave speed. As the frequency of a wave increases, the speed of the wave also increases.

3. Wave speed decreases as it moves from a medium of low density to one of high density. This is because a denser medium causes more resistance to the wave, resulting in a slower wave speed.

4. If the instrument is initially flat, the player should tighten the string. This is because tightening the string increases the tension, which in turn increases the speed of the wave, resulting in a higher pitch.

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It will take approximately 3.01 seconds for the pendulum bob to swing back to the person.

To answer this question, we need to find the period of the pendulum and then calculate the time it takes for the pendulum to swing back to the person.
Step 1: Calculate the period of the pendulum
The formula for the period of a simple pendulum is given by:
T = 2π√(L/g)
where T is the period.

L is the length of the cable (9.01 m), and g is the acceleration due to gravity (approximately 9.81 m/s²).
Step 2: Plug in the values and solve for T
T = 2π√(9.01 m/9.81 m/s²)
T ≈ 2π√(0.918 s²)
T ≈ 2π(0.958 s)
T ≈ 6.02 s
The period of the pendulum is approximately 6.02 seconds.
Step 3: Calculate the time it takes for the bob to swing back to the person
Since the period represents the time it takes for the pendulum to complete one full oscillation, and the person releases the bob at its highest point, the time it takes for the bob to swing back to the person is half of the period.

Therefore, we can calculate this time as follows:
Time to swing back = T/2
Time to swing back ≈ 6.02 s/2
Time to swing back ≈ 3.01 s.

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Answer:

Kicking a ball involves you applying a force because you are pushing it with your foot and that makes it fly up. Once you shoot something into the air, the gravity force pulls it back down to the Earth, which is a different type of force.

Explanation:

hope this helps :)

The expression' sizeof(arrayName) / sizeof(double) 'is typically used to determine the number of elements in an array. It calculates the total size of the array and divides it by the size of each element to obtain the count of elements.

In C and C++ programming languages, the sizeof operator returns the size in bytes of a data type or variable. The expression 'sizeof(arrayName) 'gives the total size of the array in bytes. Similarly, 'sizeof(double)' provides the size of a 'double' data type in bytes.

By dividing the size of the array '(sizeof(arrayName)) ' by the size of each element '(sizeof(double))', we get the number of elements in the array. This is because the total size of the array divided by the size of each element gives the count of elements.

Therefore, the correct answer is b) the number of elements in an array.

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Answer:

D 100kg

Explanation:

\(1n = 10kg \\ 10n = g \\ g = 10n \times 10kg \\ = 100kg\)

Answer:

54 Km per hour..

Explanation:

Multiply the speed value by 3.6

The final speed of the masses after a perfectly elastic head-on collision can be calculated using conservation of momentum and kinetic energy. The final speed of the 2.0-kg object is 4.0 m/s and the final speed of the 4.0-kg object is 6.0 m/s.

In a perfectly elastic collision, both the momentum and kinetic energy are conserved. To find the final velocity of the masses, we can apply the conservation of momentum principle:

(m1 * v1) + (m2 * v2) = (m1 * vf1) + (m2 * vf2)

Where m1 and m2 are the masses of the objects, v1 and v2 are their initial velocities, and vf1 and vf2 are their final velocities.

Substituting the given values, we get:

(2.0 kg * 6.0 m/s) + (4.0 kg * (-4.0 m/s)) = (2.0 kg * vf1) + (4.0 kg * vf2)

Solving for vf1 and vf2, we get:

vf1 = (-4.0 m/s)

vf2 = (6.0 m/s)

This means that the 2.0-kg object will rebound with a velocity of 4.0 m/s in the opposite direction, while the 4.0-kg object will move forward with a velocity of 6.0 m/s.

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The given statement is true. The boundary between a weld metal and a heat-affected zone depends on the temperature at which metallurgical structure transformation begins for any specific metal and is dependent on welding temperature.

A heat-affected zone (HAZ) is a region in a metal that has been heated to the point where its microstructure and properties change due to welding, brazing, or thermal cutting. The HAZ usually lies between the unaffected base metal (UBM) and the weld metal (WM).

Welding temperature is defined as the temperature at which the welding process takes place, and it is a critical factor that affects the quality of the welded joints. The temperature range of the base metal and filler material is determined by the type of metal being welded and the welding process being used.The temperature at which metallurgical structure transformation occurs is important in welding.

As the temperature increases, the metal's microstructure is altered, and new metallurgical structures are formed. The boundary between the weld metal and the heat-affected zone is determined by the temperature at which metallurgical structure transformation starts, which is determined by the welding temperature. Thus, the given statement is true.

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