Find the magnitude of the sum of these two vectors: B 101 m 60.0 ° 85.0 m A​

A 15 kg flywheel has all its mass around its outer rim. A string is wrapped around it and a m = 3.7 kg weight is hanging on the string. The flywheel has radius R = 0.25 m.

a) When the 3.7 kg weight is dropping with a speed of 1.7 m/s,  the angular velocity of the flywheel 6.8 rad/s.

b) When the 3.7 kg weight is moving with a speed of 1.7 m/s,  the kinetic energy of the entire system is 22.5 J.

c) If the system started from rest, the height weight fallen is 0.719 m

d)  the angular acceleration at this point is 39.2 rad/s².

a) Angular velocity of the flywheel is given by :

w = v / r

Where, w = angular velocity of flywheel v = velocity of weight R = radius of flywheel

Therefore,w = v / r = 1.7 m/s / 0.25 m = 6.8 rad/s

Therefore, the angular velocity of the flywheel is 6.8 rad/s.

b) Kinetic energy of the entire system is given by :

K.E. = 1/2 * I * w²

Where, I = moment of inertia = mass of the flywheel * radius²

Thus,I = 15 kg * (0.25 m)²I = 0.9375 kg.m²

Therefore, K.E. = 1/2 * I * w²= 1/2 * 0.9375 kg.m² * (6.8 rad/s)²= 22.5 J

Therefore, the kinetic energy of the entire system is 22.5 J.

c) Potential energy of the weight at the top of the wheel is given by:

U = mgh

Where, m = mass of the weight = 3.7 kg g = acceleration due to gravity = 9.8 m/s² h = height fallen

Thus,U = 3.7 kg * 9.8 m/s² * h

Therefore, h = U / (mg) = (1.7 * 3.7 * 9.8) / (15 * 9.8)= 0.719 m

Therefore, the height fallen by the weight is 0.719 m

d) At this point, angular acceleration is given by:

a = alpha * r

Where, alpha = angular acceleration of flywheel

Therefore, alpha = a / r = g / r= 9.8 m/s² / 0.25 m= 39.2 rad/s²

Therefore, the angular acceleration at this point is 39.2 rad/s².

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Because a particular sensitizer can absorb photons of one wavelength and release photons of a longer wavelength. The radiation must be at a longer wavelength because The energy produced by light is inversely proportional or related to the wavelength of light.

Fluorescence is emitted by most sensitizers as a result of some of the energy from the initial excited singlet state. Because emitted light is generally less energy than absorbed light, the emitted light has a longer wavelength.

The physical or chemical adsorption of colored materials absorbs visible or solar light and excites it to the singlet or triplet excited state in the surface sensitizer process.

When an excited molecule (the donor or photosensitizer) generates photochemical reactions in molecules (the acceptor or quencher) which are not photochemically reactive by themselves, i.e. do not absorb light in the specified wavelength range, the process is deemed photosensitized.

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At an altitude of 50km, you would expect the sky color to be a darker shade of blue, almost black.

This is because the atmosphere becomes thinner as you go higher in altitude, leading to less scattering of sunlight.

The lower atmosphere's blue color can be explained by several factors, including Rayleigh scattering and absorption of light. Rayleigh scattering occurs when sunlight interacts with gas molecules and small particles in the atmosphere. This scattering is more effective for shorter wavelengths of light, such as blue and violet.

However, our eyes are more sensitive to blue light, which is why we perceive the sky as blue. Additionally, some of the violet light is absorbed by the ozone layer, further contributing to the sky's blue appearance.

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To determine the work done on the basketball by air resistance, we need to calculate the change in kinetic energy of the ball. The work done by air resistance is equal to the negative change in kinetic energy.

Mass of the ball (m) = 0.610 kg

Initial height (h1) = 1.90 m

Final height (h2) = 3.04 m

Initial speed (v1) = 7.03 m/s

Final speed (v2) = 4.29 m/s

The initial kinetic energy (KE1) of the ball is given by:

KE1 = (1/2)mv1^2

The final kinetic energy (KE2) of the ball is given by:

KE2 = (1/2)mv2^2

The work done by air resistance is given by:

Work = -(KE2 - KE1)

Substituting the given values into the equations:

KE1 = (1/2)(0.610 kg)(7.03 m/s)^2

KE2 = (1/2)(0.610 kg)(4.29 m/s)^2

Work = -[(1/2)(0.610 kg)(4.29 m/s)^2 - (1/2)(0.610 kg)(7.03 m/s)^2]

Calculating the work:

Work = -[(1/2)(0.610 kg)(18.3841 m^2/s^2) - (1/2)(0.610 kg)(34.2909 m^2/s^2)]

Work = -[5.63586705 J - 10.42909715 J]

Work = -(-4.7932301 J)

Work ≈ 4.793 J

Therefore, the work done on the ball by air resistance, a nonconservative force, is approximately 4.793 Joules.

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The volume of the sprinkler for the given water supply is V1 = 0.32m/s, by using Bernoulli's equation.

According to Bernoulli's principle of fluid dynamics, a fluid's speed increases at the same time as its static pressure or potential energy decreases. The Bernoulli equation is regarded as the definition of energy conservation for flowing fluids. This is thought to be the qualitative behaviour that reduces pressure in high-velocity zones. Also, referred to as the Bernoulli effect.

Calculations:

Using continuity equation, Bernoulli's equation.

A1×V1 = A2×V2

Where,

A1 = area of the supply pipe

V1 = volume of supply pipe

A2 = area of sprinkler

V2 = volume of sprinkler

Given,

Diameter of supply pipe = 2.5cm therefore radius = 1.25cm.

Diameter of sprinkler = 0.5cm therefore radius = 0.25cm.

V1 = (A2×V2) /A1

V1 = (π \(r_{2}\)²× V2) / (π \(r_{1}\)²)

V1 = {π (0.25) ² × 8} / { π (1.25) ²}

V1 = 0.32m/s.

Hence, the volume of the sprinkler for the given water supply is V1 = 0.32m/s, by using Bernoulli's equation.

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The law of conservation of mass states that matter can neither be created nor destroyed. When wood burns, the mass of the wood is converted into a small amount of ashes and gas. The total mass of the ashes and gas is equal to the mass of the wood before it was burned, demonstrating that the law of conservation of mass holds true.

answered

just now

The latitude and longitude coordinates for Location C are given as 50S, 68W. Therefore, the correct answer is 4) Cannot discern from the information provided.

Latitude and longitudinal lines are shown on a globe of Earth as parallel and vertical lines. To determine which distance is farther, we need to compare the distance between Location B and the Equator with the distance between Location C and the Equator.

However, the latitude and longitude coordinates for Location B and the specific direction or coordinates of the Equator are not provided. Without this information, it is not possible to determine which distance is farther between Location B and the Equator or Location C and the Equator.

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Answer:it’s a

Explanation:

Static electricity refers to the buildup or imbalance of electric charges on the surface of objects. The correct answer is B. An insulator prevents electric charge from moving through it.

An insulator prevents electric charge from moving through it. This statement describes an example of static electricity because insulators, such as rubber or plastic, do not allow electric charges to flow freely. When an insulator is rubbed or comes into contact with another object, it can cause the transfer of electrons between the two surfaces, leading to a buildup of static charge.

The charges remain stationary on the surfaces of the objects, resulting in an electrical imbalance without the flow of charges through the insulator.

Therefore, the correct answer is B. An insulator prevents electric charge from moving through it.

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The value of Δt in the data table to cover the entire time interval and achieve the desired error is 0.1 seconds.

Given that the basketball is dropped from a walkway above Bartow Arena and it falls from rest with a constant acceleration of 9.8 m/s2 until it reaches the floor 2 seconds later.

The equations required to construct the data table are

v i+1 =v i +a t and x i+1 =x i +v i t.
The class project requires that the constant time interval Δt between rows in their table should be sufficiently small so that they have only a 4 percent error in the total distance traveled by the ball during the 2 seconds.
The total distance traveled by the ball in 2 seconds can be calculated using the kinematic equation, x = ½ a t2.

The distance covered is x = 0.5*9.8*22 = 19.6 m.

If Δt is the time interval, then the total number of intervals is 2/Δt.

The distance traveled by the ball for each interval is 0.5 a (Δt)2.

Hence, the total distance covered is given by 0.5 a (Δt)2(2/Δt).

On simplifying, we get the expression,

Δt2 = (0.04*2*19.6/9.8).

Therefore, Δt = 0.1 seconds.

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It will cost 0.324 Dollars to light six 100w light bulbs for six hours if the price of electrical energy is $0.09/ kwh.

kwh is commercial unit of electric energy. 1 unit= 1 kwh.

When 100 w power device is run for 1 hour, the amount of electrical energy consumed is 1 kwh.

We will find total units of electrical energy consumed in the given question.

energy consumed by 6 bulbs = 6×100= 600 w( joules per second).

The value in kwh is = 600÷1000

                                = 0.6kwh

Total energy consumed in 6 hours is = 0.6×6 = 3.6 kwh

So, the cost is = 3.6×0.09 = 0.324 dollars.

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Answer:

Several cm of lead

Explanation:

Answer: I am assuming it is decreases

Explanation: a straight line is 180 degrees. 2 angles both add up to 180 degrees on a straight line. When one increases, the other has to decrease to keep it 180 degrees on a straight line

If the work accomplished by bulldozer #2 is three times greater than bulldozer #1, it can mean that bulldozer #2 exerted three times the force or that bulldozer #1 had to move three times greater distance.

If the work accomplished by bulldozer #2 is three times greater than bulldozer #1, it means that bulldozer #2 had to exert more force or move the object over a greater distance. However, since the objects being moved are similar, it does not necessarily mean that both bulldozers did equal work.

To understand this better, let's consider an example:

Suppose bulldozer #1 moved an object with a force of 100 units and bulldozer #2 moved a similar object with a force of 300 units. In this case, bulldozer #2 exerted three times the force of bulldozer #1.

Alternatively, if we consider the distance covered, bulldozer #1 had to move three times greater distance than bulldozer #2. This is because the work done is equal to the force multiplied by the distance. So if the work done by bulldozer #2 is three times greater, it implies that bulldozer #1 had to move a greater distance.

It is important to note that the power required by bulldozer #2 may or may not be three times greater than bulldozer #1. Power is defined as the rate at which work is done, so it depends on the time taken to perform the work. The given information does not provide enough details to determine the power required by each bulldozer.

In summary, if the work accomplished by bulldozer #2 is three times greater than bulldozer #1, it can mean that bulldozer #2 exerted three times the force or that bulldozer #1 had to move three times greater distance. However, the information provided does not allow us to determine the power required by each bulldozer.

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Answer:

It's A

Explanation:

Because I know it is

The record in the last row should be 2LiCl + 3O2.

A chemical reaction equation has two parts;

The interaction between the atoms of the reactants lead to rearrangement hence products are formed.

For the reaction, the record in the last row should be 2LiCl + 3O2.

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The feeling can either be positive or negative.

A positive feeling can occur when one performs very well in the given home. Also, a positive feeling can come from a high level of satisfaction in the homework. When you complete your homework on time using the recommended steps, you will be sure to do well on the homework.

In other hand, a negative feeling may result from poor performance in the homework. In ability to complete the homework or missing some steps in the homework can increase your level of trepidation even before seeing your score.

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Your friend is correct. In order to determine the speed at which the person who leaves point B must walk, you need to know the length of AC and BC.

This is because the time it takes for each person to reach point C is dependent on the distance they must travel and the speed at which they are traveling.

Using the formula time = distance / speed, you can calculate the time it takes for each person to reach point C.

For the person leaving point A, the time it takes to reach point C is tA = AC / 3, since they are traveling at a speed of 3 miles per hour.

For the person leaving point B, the time it takes to reach point C is tB = BC / x, where x is the speed at which they are traveling.

Since both people are intended to reach point C at the same time, you can set the two equations equal to each other:

AC / 3 = BC / x

Cross-multiplying and solving for x gives you the speed at which the person leaving point B must walk:

x = 3BC / AC

Without knowing the length of AC and BC, you cannot determine the speed at which the person leaving point B must walk. Therefore, your friend is correct.

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Yes, the statement 'Work done by a frictional force on an object is force exerted by friction multiplied by the displacement of the object in the direction of the frictional force. SI unit of work done by the frictional force is joules' is the correct definition of Work Done By Friction.

Work done by a frictional force on an object is a measure of the energy exerted by friction.

This energy is equal to the magnitude of the frictional force multiplied by the displacement of the object in the direction of the frictional force.

The SI unit of work done by the frictional force is the joule, which is a unit of energy. In other words, the work done by friction is the amount of energy expended by the frictional force on the object.

This definition applies to any object which experiences a frictional force.

Although a part of your question is missing, you might be referring to this question:

Is 'Work done by a frictional force on an object is force exerted by friction multiplied by the displacement of the object in the direction of the frictional force. SI unit of work done by the frictional force is joules' the correct definition of Work Done By Friction.

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The speed of sound in water made by a torpedo with a speed of 20.00m/s and explodes upon impact with a target 2000.0m away is 19.72 m / s

v = d / t

v = Velocity

d = Distance

t = Time

d = 2000 m

t = 101.4 s

v = 2000 / 101.4

v = 19.72 m / s

Velocity of an object is the object's rate of change of position with respect to time. It is mostly denoted as m / s.

Therefore, the speed of sound in water is 19.72 m / s

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The kinetic energy of the body executing S.H.M. is 7.5 J when the displacement is half of the amplitude.

The total energy of the body executing S.H.M. is 10 J, let's find the kinetic energy when the displacement is half of the amplitude.

In S.H.M., the total energy (E) is the sum of the kinetic energy (K) and potential energy (U). We are given that E = 10 J.

1. The potential energy (U) is given by: U = (1/2)kx², where k is the spring constant and x is the displacement

At maximum amplitude, all the energy will be potential energy.

Let maximum amplitude is A and spring constant be k.

\(10 = 1/2kA^2\)

\(A = \sqrt{20/k}\)

Now potential energy at half the displacement of the amplitude.

\(U = 1/2k(\sqrt{20/k}/2)^2\)

U = 20/8

2. The kinetic energy (K) is given by: K = E - U, where E is the total energy and U is the potential energy.

K = 10 -20/8 = 7.5 J

Therefore the kinetic energy of the body at half of the amplitude is 7.5 J.

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Answer:

the spring be displaced by 25.0 cm

Explanation:

The computation is shown below:

As we know that

F= -K × x

So,

\(x = \frac{-F}{K}\)

Now  

\(x = \frac{-3500}{14000} \\\\\)

= -0.250m

= 25.0 cm

Hence, the spring be displaced by 25.0 cm

resolved for the constant speed as the ratio of distance and time. We have B as the speed, the, as the distance at the at the time it is given that the bus leaves easter and other exactly six o'clock in the morning In Travis at a constant speed of 54.3 mph to Austin, which is located at a distance of 190 miles away. We want to find the arrival time. So first is that satisfying the time of travel to suffer the time from the given equation. And we have B equals distance divided by the speed. The distance is 190 miles and the speed is 54.3 mph. We get time here in terms of R. S. S 3.5, So it takes three hours and three hours and 30 minutes to travel, he said distance. So if it's if the bus departs at the at the time of six of clubs, So three hours and 30 minutes after that, it will arrive to Austin. So that means the arrival time will be nine 30 in the morning, So that's three hours and 20 minutes. Oh, after six o'clock. So I hope everything is clear.

The minimum work needed to push a 1000 kg car 300 m up a 17.5-degree incline

Given by the following steps;

Step-We calculate the gravitational potential energy (GPE) of the car as it's lifted up the incline. This will be equal to the minimum work required to push the car up the incline. The GPE is given by;GPE = mgh. Where m = mass of the car = 1000 kg; g = acceleration due to gravity = 9.81 m/s²; h = height gained = 300 sin(17.5°) = 84.4 mGPE = mgh = 1000 × 9.81 × 84.4 = 829,944 J

Step 2If we consider friction, we can calculate the minimum work required as follows:Total work done = work done against gravity + work done against frictionW = GPE + work done against friction

Where the work done against friction is given by; Wf = friction force × distance × cos(θ)Here θ = angle of incline = 17.5° and the friction force is given by the product of the effective coefficient of friction (µ) and the normal force. The normal force is equal to the component of the weight of the car that acts perpendicular to the incline.Nf = mg cos(θ)Wf = µNf × distance × cos(θ) = µmg cos²(θ) × distance × cos(θ) = µmgdcos²(θ)W = mgh + µmgdcos²(θ)Substituting m, g, h, d, and µ into the equation gives;W = 1000 × 9.81 × 84.4 + 0.25 × 1000 × 9.81 × 300 × cos²(17.5)W = 1,454,392 J

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A promising evidence of a habitat that might support life on the planet Mars is water.

There is evidence supporting the existence of liquid water on Mars from numerous sources. The finding of repeated black streaks on Martian slopes and the presence of hydrated minerals suggest the potential of seasonal or location-specific briny water flows. A necessary component of life as known is liquid water.

Additionally, Mars possesses underground ecosystems that could provide defence against radiation and severe surface conditions. Researchers have found evidence of ancient underground hydrothermal systems as well as beneath ice. These settings might offer consistent conditions for the development of microbial life.  Methane gas has been found in the Martian atmosphere, along with variations over time, and this has led to questions regarding its origin. Both geological and biological processes can result in the production of methane.

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Answer:

False

Explanation:

Energy keeps on converting from one form to another and it is useful in each of its forms.

For instance, the kinetic energy get converts into potential energy, mechanical energy of motor converts into electrical energy, sound energy (phone) converts into electrical energy etc. but in all these forms energy is useful in one or the other way.

Hence, the given statement is false.

The projectiles launch allows to find the answer for the initial velocity of the stone is:

            v = 17.71 m / s

Projectile launching is an application of kinematics for motion in two dimensions, where there is no acceleration on the x axis and the acceleration on the y axis is the gravity acceleration.

In the attached diagram we can see a corner of the movement. Where the x axis is horizontal and the y axis is vertical, where the zero of the system is at the base of the cliff

In this case the stone is thrown horizontally, therefore its initial vertical speed is zero, let's find the time it takes to reach the base of the cliff

           y = y₀ + \(v_{oy}\) t - ½ g t²

where y and y₀ are the current and initial position, \(v_{oy}\) is the initial vertical velocity, g the acceleration of gravity and t the time

When reaching the bottom its height is zero (y = 0) and the highest part its initial height is y₀ = 25.00 m

           0 =y₀ + 0 - ½ g t²

          t = \(\sqrt{\frac{2y_o}{g} }\)

Let'se calculate

           \(t = \sqrt{ \frac{2 \ 2.25 }{9.8 } }\)

           t = 2,259 s

They indicate that the stone fell at a horizontal distance of 40 m,

           x = \(v_{ox}\) t

            v_{ox} = \(\frac{x}{t}\)

           v_{ox}  = \(\frac{40}{2.259}\)

           v_{ox} = 17.71 m / s

In conclusion, using theprojectiles launch we can find the answer for the initial velocity of the stone is:

            v = 17.71 m / s

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Control Group: SpongeBob's arms and back lathered with regular lotion.

The conclusion should be based on the results of the experiment, for example, if the results show that Patrick's muscle strength and power increased more than SpongeBob's after using the special muscle cream, it would be reasonable to conclude that the muscle cream has a positive effect on muscle strength and power when used as part of a muscle-building workout.

A single experiment is not enough to prove that the muscle cream is effective in increasing muscle strength and power. The experiment should be repeated multiple times with different sample groups and the results should be consistent.

Additionally, the muscle cream should be tested against other muscle-building products and compared to a control group that does not use any muscle-building products.

However, it's important to note that this conclusion is only valid if the experiment is well-designed and executed, and the results are accurately and objectively measured. Additionally, the experiment should be repeated with a larger sample size and over a longer period of time to increase the confidence in the conclusion.

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Answer:

A

Explanation:

Because D is definitely true and there is only one false sentence what means if that non of B or C is false because if one is false so other one needs to be too.

Scientists use the following to study the patterns and impacts of climate change over time :

This is defined as the atmospheric condition of a place over a long period of time.

Scientists use physical, chemical and biological methods to study impacts of climate change which makes option A the most appropriate.

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