A 240 gg , 24-cm-diameter plastic disk is spun on an axle through its center by an electric motor. You may want to review (Page) . Part A What torque must the motor supply to take the disk from 0 to 1800 rpm in 4.8 ss ? Express your answer using two significant figures.

The rotating dot illusion is a visual phenomenon where staring at a pink dot rotating in a circle can cause various perceptions, such as the dots appearing to vibrate, transforming into one green dot, a series of blue dots, a yellow dot, or even disappearing.

The rotating dot illusion is a result of the brain's interpretation of visual information and the persistence of vision. When we stare at the center of the rotating dot illusion, our visual system tries to make sense of the continuous motion and fill in the missing information. This can lead to various perceptual effects.

The perception of the dots vibrating can occur due to the contrast between the rotating pink dot and the stationary background. The rapid motion of the rotating dot and the fixated stare can create an illusion of movement in the surrounding dots, giving the impression of vibration.

The transformation of the dots into different colors, such as a green dot, a series of blue dots, or a yellow dot, is likely a result of afterimages and color adaptation. Staring at the rotating dot for an extended period can lead to temporary retinal fatigue and cause color receptors to become less responsive. When shifting attention to a blank area or a neutral background, the brain may perceive contrasting colors or an absence of color, resulting in the appearance of different colored dots or even the disappearance of the dots altogether.

Overall, the rotating dot illusion demonstrates how our visual system can be influenced by motion, color adaptation, and the brain's interpretation of incomplete visual information, leading to fascinating perceptual experiences.

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The net rates of reaction for all components and the expression for instant selectivity are determined. The concentration of P over time in a batch reactor is derived, and the conditions for maximum concentration of P are discussed based on the rate-determining step.

a. The net rate of reaction for component A is given by -11 = -0.025 mol of A/(L.min), as it is a zero order reaction. The net rate of reaction for component P is given by -12 = K2 * Cp = 0.0075 CP mol of P/(L.min), as it is a first order reaction. The net rate of reaction for component B can be calculated by considering the stoichiometry of the two steps.

The instant selectivity is the ratio of the net rate of production of P to the net rate of consumption of A, which can be expressed as selectivity = -12 / -11.

b. Based on material balances for a batch reactor, the rate of change of concentration of P over time (dCp/dt) can be expressed as (dCp/dt) = -2 * (-12) = 0.015 CP mol/(L.min), using the stoichiometry of the reaction.

c. To determine the conditions for maximum concentration of P, we need to consider the rate-determining step. Since the second step is first order, it determines the overall rate of the reaction. To maximize the concentration of P, we need to maximize the rate of the second step. This can be achieved by increasing the concentration of P or the concentration of B while keeping the other reactants at their initial concentrations.

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Answer: Trough

Explanation: The point labeled C in the wave diagram above is the TROUGH of the wave motion. The trough of a wave motion identifies or signifies the point of least or minimum Displacement by measuring the downward Displacement of the wave. The point A is the CREST which is the opposite of the trough, signifying the point of maximum or upward Displacement of the wave cycle.

Point B is the wave amplitude which signifies the maximum extent of vibration from the equilibrium position of a wave. The point labeled D refers to the wavength of the wave motion which is the distance between successive crest or troughs of a wave motion.

Answer:

Evaluate the solution.

Explanation:

A technological design is designed as the design and study of a solution that can be provided from the solution by identifying the root cause or problem and trying to solve by various means.

A good technological design requires the minimum effort and resources while meeting the requirement of the problem.

The steps involved in the technological design are :

1. search and identify the problem or need.

2. design a solution

3. Implement a solution.

4. Evaluate the solution.

Therefore, the final step or the fourth step in the process of a technological design is " evaluating or communicating the final design solution".

The answers include the following;

This is referred to as the degree of hotness or coldness of a substance and it is influenced by thermal energy.

The direction in which the heat flows is from hot chocolate to the vanilla ice cream and the kinetic energy of the hot chocolate decreases once you add the ice cream.

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Sound intensity is inversely proportional to the square of the distance traveled by the sound.

Sound, a mechanical disturbance from a state of equilibrium that propagates through an elastic material medium. The sound travels in all the mediums i.e. solid, liquid, and gas.

According to the question, the sound frequency which he is hearing is 20dB when he is standing 8m away from the engine.

Sound intensity is inversely proportional to the square of the distance traveled by the sound. Thus;

r1^2 divide by r2^2 = L2divideL1

where r= distance (m)

L= sound intensity (decibel dB)

8squared divide by 4 squared = L2 divide 20 dB

L2 = 4 × 20

L2= 80 dB

This means that the sound is increased from 20 dB to 80 db.

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Using speed, distance, time relation, The Space Shuttle covers approximately 8 football fields in the blink of an astronaut's eye.

The speed of something or someone is how swiftly they are moving. You can determine something's average speed if you know how far it has traveled and how long it took to get there. Speed is determined by the formula: speed = distance time. Calculating the units for speed requires knowledge of the units for both time and distance.

The equation speed = distance time can be altered, just like any other equation.

The formula can be set up in one of three ways:

Distance is determined by time and speed.

Time and speed both affect distance.

Time = Speed x Distance

To compute one of the variables, we require the other two (speed, distance, or time).

For instance, we need to know the distance traveled and the speed at which movement occurs in order to calculate the travel time.

To find out how many football fields the shuttle covers in one blink of an eye, we need to divide the distance it travels in 116 ms by the length of one football field.

First, let's find the distance:

distance = speed x time

distance = 6.38 ×  m/s × 116 ms

distance = 738.88 m

Next, let's divide the distance by the length of a football field:

distance ÷ length of a football field

738.88 m ÷ 91.4 m  = 8.09 football fields

So the Space Shuttle covers approximately 8 football fields in the blink of an astronaut's eye.

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Distance from the central maximum on the screen will a dark fringe from one pattern first coincide with a dark fringe from the other is -0.26 mm

Since the slit separation is 2.0 mm , and two wavelengths, 900 nm and 700 nm , illuminate the slits. A screen is placed 2.6 m from the slits

λ\(1\) = 900 nm

λ\(2\) = 700 nm

D = 2.6 m

d = 2 mm

The distance is calculated using formula ,

\(Y\)= λD/d

Hence,

\(Y1\) = λ\(1\) D/d

\(Y2\) = λ\(2\) D/d

\(Y1\) = 900 × \(10^{-9}\) × 2.6 / 2 × \(10^{-3}\)

Therefore, \(Y1\) = 1.170 mm

\(Y2\) = 700 × \(10^{-9}\) × 2.6 / 2 × \(10^{-3}\)

Therefore, \(Y2\) = 0.910 mm

So the spacing between these two bright stripes is:  \(Y2\) -\(Y1\)  = -0.26 mm

Young's double-slit experiment uses two coherent light sources spaced apart. Usually only a few orders of magnitude larger than the wavelength of light are used. Young's double-slit experiment helped us understand the wave theory of light.

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The implied annualized risk-free rate of return for holding the futures contract is approximately 8.51%.

In this scenario, the futures price of the ABC index is higher than the spot price, indicating a positive cost of carry. To calculate the implied annualized risk-free rate of return, we can use the formula:

Implied Annualized Risk-free Rate = (Futures Price - Spot Price) / Spot Price * (365 / Time to Expiration)

Given the spot price of 1302, the futures price of 1335, and a 6-month expiration period, we can plug these values into the formula:

Implied Annualized Risk-free Rate = (1335 - 1302) / 1302 * (365 / 0.5)

Calculating the expression yields approximately 0.0851 or 8.51%. This implies that holding the futures contract on the ABC index would yield an annualized risk-free return of 8.51% if the current market conditions persist.

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The above given question is incomplete, below a complete question is written:

The (hypothetical) ABC index spot price is currently at 1302, and the continuously compounded risk-free rate is 6% per annum. The 6-month observed futures price on the index is 1335. What is the implied annualized risk-free rate of return for holding the futures contract?

Answer:

If the body temperature falls below this temperature then enzymes will work too slowly for body process to occur fast enough the keep the mammal alive.

Explanation:

If the value obtained by the lab group investigating the maximum weight students can lift with their arms compared to their legs is 20, it is unlikely that there is a difference between the arms and legs data. To determine if there is a significant difference between the maximum weight students can lift with their arms compared to their legs, statistical analysis should be performed.

If the value obtained is 20, it is important to calculate the p-value to determine the probability of obtaining this value due to chance. If the p-value is greater than the significance level (usually 0.05), then it can be concluded that there is no significant difference between the arms and legs data. However, if the p-value is less than the significance level, then it can be concluded that there is a significant difference between the arms and legs data.

In this case, the value obtained is 20, which indicates that the difference between the maximum weight students can lift with their arms compared to their legs is not very large. However, it is necessary to calculate the p-value to determine if this difference is statistically significant or not. If the p-value is greater than 0.05, then it is unlikely that there is a difference between the arms and legs data, and the conclusion would be that the difference is not statistically significant.

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The thickness of the foil is approximately 0.07 cm if a metal has a density of 7.4 g/cm3. a rectangular thin foil of this metal measuring 2.4 cm by 6.cm has a mass of 7.42 g.

To find the thickness of the foil, we first need to calculate its volume. As the foil has a rectangular shape with length 6.0 cm and width 2.4 cm, the area can be calculated as: A = l*w

= 6.0 cm * 2.4 cm

= 14.4 cm^2

Next, we can use the formula for density to calculate the volume of the foil: density = mass / volume

volume = mass / density

Substituting the given values, we get: volume = 7.42 g / 7.4 g/cm^3

= 1.0027 cm^3

Finally, we can calculate the thickness of the foil by dividing the volume by the area: thickness = volume / area

= 1.0027 cm^3 / 14.4 cm^2

≈ 0.0697 cm

≈ 0.07 cm (rounded to two decimal places)

The thickness of the foil is approximately 0.07 cm.

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Absolute magnitude is a measure of the intrinsic brightness of a celestial object, such as a star, and is defined as the apparent magnitude the object would have if it were at a distance of 10 parsecs (32.6 light-years) from Earth. The lower the absolute magnitude, the brighter the object is intrinsically.

Given that star b has an absolute magnitude of 0 and star a has an absolute magnitude of 1, we can infer that star b is intrinsically brighter than star a. However, we cannot make any conclusions about other properties of the stars, such as their distance from Earth or their surface temperature. To further understand the properties of these stars, we would need additional information, such as their spectral type, luminosity class, or distance from Earth.

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Answer:

Ns/Np=1/4

Vs=?

Vp=220V

Ns/Np=Vs/Vp

Vs=Ns/NpxVp=1/4x220=55V

Explanation:

Answer:

A. B. Pls Give Branliest

Explanation:

Answer:

My answer got deleted.. all my brainliests too

Explanation:

A for the first, B for second.

When the distance between the two charged particles is increased by a factor of 3, the force between them is decreased by a factor of 9.

Option B.

The electric force between two charged particles is determined by applying Coulomb's law.

Coulomb's law states that the force of attraction or repulsion between two charged particles is directly proportional to the product of the charges and inversely proportional to the square of the distance between the charges.

F = kq²/r²

where;

From the formula above, we can see that when the distance between two charged particles increases by a factor of 3, the force between them decreases by a factor of 9.

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Hi there!

Recall the following relationships:

\(W = \Delta U = mg\Delta h\\\\P = \frac{W}{t}\)

W = Work (J)

U = Potential Energy (J)

m = mass (kg)

g = acceleration due to gravity (9.8 m/s²)

h = height (m)

t = time (s)

Begin by calculating the work:

\(W = 50(10)(8) = 4000 J\)

Now, divide by the time to solve for power:

\(P = \frac{4000}{5} = \boxed{800W}\)

**W is the unit for power (Watts).  Be careful not to get the two confused.

ANSWER:

1st option: left

STEP-BY-STEP EXPLANATION:

Direction is the location of something in relation to something else. Direction can be described in relative terms, such as up, down, in, out, left, right, forward, backward, or sideways. L

A motion map can look like this:

Which means that by saying backwards, on the map it has a movement to the left

So the correct answer is the 1st option: left

Answer:

Explanation:

Impulse = Force × time

So 88× 3 =264!!

Answer:

264 kg*m/s

Explanation:

Use lens formula

The focal length of the lens is 5.8 cm.

To find the focal length, the given values are:

Image distance - 10 cm

Object distance - 14 cm

      The distance between the convex lens or a concave mirror and the focal point of a lens or mirror is called the focal length. This is the parallel line which meet at the distance from the lens or mirror.

                1/Focal length = 1/Image distance + 1/Object distance ( cm )

                                    1/f = 1/v-1/u

                                    1/f = 1/-10-1/14

                                    1/f = -7-5/70

                                    1/f = -12/70

                                      f = 70/-12

                                      f = -5.8cm

The focal length of the lens is - 5.8 cm.

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The Big O notation of the worst case scenario of pushing back an element into a stock implemented using a vector is \(\textbf{O(1)}\).

In the worst case scenario, when pushing back an element into a vector, the time complexity is constant, denoted as O(1). This means that the time required to add an element to the end of the vector does not depend on the size of the vector. Regardless of how many elements are already present in the vector, the operation of pushing back an element takes a constant amount of time.

This constant time complexity is achieved because vectors in most programming languages use a dynamic array implementation. When the vector reaches its capacity, the underlying dynamic array is resized to accommodate additional elements. The resizing process typically involves allocating a new array with a larger size, copying the existing elements to the new array, and deallocating the old array. However, the amortized time complexity of this resizing operation is still considered to be O(1) because it occurs infrequently and the cost is spread out over multiple insertions. Therefore, in the worst case scenario, pushing back an element into a vector has a constant time complexity of O(1).

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The speed of light that emerges from a pane of glass compare with the speed of light incident on the glass because The emerging and incident speed of lights are the same.

Light is a phenomenon which is defined as the electromagnetic form of energy which gives us the sensation of vision.

Speed is defined as the rate of change of distance travelled by a body per unit time.

The speed at which the light propagates through the medium is known as Speed of light. It is a fundamental constant of the nature. In all inertial frames of reference the speed of light in free space has the same value.

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Answer:

23.11

Explanation:

accellus

The focal length of the lens is approximately 115.3 cm. The explaination is  explained below.

To find the focal length of the lens, we can use the lens formula:

1/f = 1/v - 1/u

Where:

f is the focal length of the lens

v is the distance of the image from the lens

u is the distance of the object from the lens

Given:

v = 38.5 cm

u = 57.8 cm

Let's substitute these values into the formula:

1/f = 1/38.5 - 1/57.8

Now, let's calculate the right side of the equation:

1/f = (57.8 - 38.5) / (38.5 * 57.8)

= 19.3 / (2223.3)

≈ 0.008677

Now, we can find the focal length (f) by taking the reciprocal of both sides:

f = 1 / (0.008677)

≈ 115.3 cm

Therefore, the focal length of the lens is approximately 115.3 cm.

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Answer:

A. 2.58m

Explanation:

Using the formula;

F = GMm/r²

M and  m are the masses

G is the gravitational constant

r is the distance between the masses

Substitute

0.00006 = 6.67*10^-11(2000)(3000)/r²

0.00006r² = 6.67*10^-11*6000000

0.00006r² = 40.02*10^-5

0.00006r² = 0.0004

r² =  0.0004/0.00006

r² = 6.66

r = 2.58m

Hence the distance between them is 2.58m

Answer:

We know that:

Distance between Odysseus and Penelope = 50m

Speed of Odysseus = So = 4m/s

Speed of Penelope = Sp = 6m/s.

Now we want to find the equation of motion for Odysseus.

First, let's find the amount of time that he is moving, we know that when he meets with Penelope, he will stop moving.

Now they weel meet each other when the total distance traveled by both of them is equal to 50m.

Then, recalling that:

Distance = Time*speed.

50m = 4m/s*t + 6m/s*t = 10m/s*t

t = 50m/10m/s = 5s

They will move for 5 seconds.

Now we can write the movement equation for Odysseus as:

p(t) = 4m/s*t + p0 for (0s ≤ t ≤ 5s)

Where p0 is the initial position of Odysseus, and because we can put our coordinate axis where we want, we can define p0 = 0m.

Then the position of Odysseus is:

P(t) = 4m/s*t                    if 0s ≤ t ≤ 5s

P(t) = 4m/s*5s = 20m     if t > 5s.

The second piece says that for t larger than 5 seconds, he will not move (at least for a given amount of time)

Answer:

120 kg

Explanation:

Net force equals mass times acceleration.

∑F = ma

Acceleration is change in velocity over change in time.

∑F = m Δv / Δt

200 N = m (2 m/s − 0 m/s) / 1.2 s

m = 120 kg

Answer:

I think it's b and I'm sorry if it's wrong

Two masses oscillating together with each of their time period as ,'T'

Option B

we know that,

The time period of a mass 'm' on a spring of spring constant 'k' can be strategize by the following equation :

\( \huge \rightarrow \: T \: = 2π \sqrt{ \frac{m}{k} } \)

According to the question,

so,

The new time period would be

\( \huge \rightarrow \: T ' \: = 2π \sqrt{ \frac{2m}{2k} } \)

\( \huge \rightarrow \: T ' \: = 2π \sqrt{ \frac{m}{k} } \)

\( \huge \rightarrow \: T ' \: = T\)

Hence ,option B is correct ✓

The potential, kinetic and total energy at the top are 2.38 x 10⁷ Joule,  0 Joule, 23.8 x 10⁶ Joule respectively and the potential, kinetic and total energy at the bottom are 0 Joule, 2.448 x 10⁶ Joule, 2.448 x 10⁶ Joule  respectively. moreover the total energies are not same as not all potential energy converting into Kinetic energy of vertically drop of ride as the ride moves straight afterwards so that also need some energy which is again coming from potential energy.

Energies at the top:-

Potential energy = mgh

Potential energy  = 3.4 x 10⁴  × 10 × 70 Joule

Potential energy  = 2.38 x 10⁷ Joule

Kinetic Energy = (1/2) mv²

Kinetic Energy = (1/2) × 3.4 x 10⁴ × 0²

Kinetic Energy = 0 Joule

Total Energy = Potential Energy + Kinetic Energy

Total Energy = ( 23.8 x 10⁶ Joule ) + ( 0 Joule )

Total Energy = 23.8 x 10⁶ Joule

Energies at the bottom:-

Potential energy = mgh

Potential energy  = 3.4 x 10⁴  × 10 × 0 Joule

Potential energy  = 0 Joule

Kinetic Energy = (1/2) mv²

Kinetic Energy = (1/2) × 3.4 x 10⁴ × 12²

Kinetic Energy = 2.448 x 10⁶ Joule

Total Energy = Potential Energy + Kinetic Energy

Total Energy = ( 0 Joule ) + ( 2.448 x 10⁶ Joule )

Total Energy = 2.448 x 10⁶ Joule

The total energies are not the same since not all potential energy is converted into Kinetic energy of the vertical drop of the ride as the ride travels straight thereafter thus that also requires some energy which is again derived from potential energy.

So we have calculated the potential, kinetic and total energy at top and bottom both, and also stated the reason of why total energy at the top is not equal to the total energy at the bottom.

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Punching a bag is a suitable example of the situation when the force applied to change shape of an object.