a student starts his lawnmower by applying a constant tangential force of 150 N to the 0.3 kg disk-shaped flywheel. the radius of the flywheel is 18 cm. what is the flywheels angular acceleration? b. what is the angular speed of the wheel after it has turned through one revolution,( neglect friction and motor compression.) c. what is the tangent speed of a point on the rim of the flywheel? ​

Answers

Answer 1

Answer:

okay

Explanation:

please I don't know


Related Questions

Which of the following is a characteristic of inner planets?

Which of the following is a characteristic of inner planets?

Answers

D Rocky Surfaces

I hope this helps you :$

Which trait do you think is most important for a boss or supervisor to have?

Answers

Answer:

A high EQ (emotional intelligence)

In today's transitioning workplace, having a high EQ is the most important trait of a good boss. Bosses must be able to discern between their own personal beliefs and the thoughts and beliefs of others, and other generations (boomers, Gen X, xennials, millennials and now Gen Z).

Explanation:

hope it helps you

A spacecraft is traveling with a velocity of Vox-5690 m/s along the +x direction. Two engines are turned on for a time of 865 s. One
engine gives the spacecraft an acceleration in the +x direction of a, 1.45 m/s², while the other gives it an acceleration in the ty
direction of a, -8.66 m/s2. At the end of the firing, what is a) v, and b) vy?
(a) Number i
(b) Number
Units
Units

A spacecraft is traveling with a velocity of Vox-5690 m/s along the +x direction. Two engines are turned

Answers

For a spacecraft is traveling with a velocity of Vox-5690 m/s:

(a) The final velocity (v) is approximately 685.25 m/s.(b) The vertical component of the velocity (vy) is -7484.9 m/s.

How to calculate velocity and vertical component?

To solve this problem, use the equations of motion to calculate the final velocity and the vertical component of the velocity. Assume that the initial velocity in the y-direction is zero.

Given:

Initial velocity in the x-direction (V₀ₓ) = -5690 m/s

Time of engine firing (t) = 865 s

Acceleration in the x-direction (ax) = 1.45 m/s²

Acceleration in the y-direction (ay) = -8.66 m/s²

(a) To calculate the final velocity (v), use the equation:

v = V₀ₓ + ax × t

Substituting the values:

v = -5690 m/s + 1.45 m/s² × 865 s

v = -5690 m/s + 1254.25 m/s

v ≈ 685.25 m/s

Therefore, the final velocity (v) is approximately 685.25 m/s.

(b) To calculate the vertical component of the velocity (vy), use the equation:

vy = ay × t

Substituting the values:

vy = -8.66 m/s² * 865 s

vy = -7484.9 m/s

Therefore, the vertical component of the velocity (vy) is -7484.9 m/s.

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Work is done on an object when
A) The displacement is not zero
B) The force and the displacement are perpendicular
C) The displacement is zero
D) The force is zero

Answers

Answer:

Incomplete question but the closest ans is

A) The displacement is not zero

Explanation:

For work to be done, the direction of force has to be parallel to or in the same direction as the displacement, this can then be calculated by

\(W=Fs \ cos\)θ

Where θ is the angle between direction of force and direction of displacement

By this equation,

if Force is zero, W is zero

if displacement is zero, W is zero

if force and displacement are perpendicular θ=90, cosθ = 0

So A is the cloest choices

A box of weight 100 N is at rest on a floor where μs = 0.4. A rope is attached to the box and pulled horizontally with tension T = 30 N. Which way does the box move?

Answers

∑F = F-fs

∑F = F - μs.N

∑F = 30 - 0.4 x 100

ΣF = 30 - 40 = -10

the box doesn't move

Due to the fact that the tension of 30 N that is given to the rope is less than the maximum static friction force of 40 N, the box remains in its current position.

We need to make a comparison between the force of static friction and the force that was applied in order to figure out which way the box is going to move. The static friction force (F\(_friction\)) works in the opposite direction to the applied force, and it keeps the box from moving so long as the applied force does not exceed the maximum static friction force. This is true provided that the applied force does not exceed the maximum static friction force.

The following equation can be used to derive the greatest static friction force (F\(_friction_max\)) that exists between the box and the floor:

F\(_friction_max\) = s multiplied by N

where s is the coefficient of static friction and N is the normal force. Because the box is sitting still on the floor, the normal force is equal to the weight of the box, which is 100 N in this example.

F\(_friction_max\) equals 0.4 times 100 N, which equals 40 N.

The tension in the rope, measured in newtons (N), is thirty. Due to the fact that T (30 N) is less than the maximum force of static friction (40 N), the box will not be able to overcome the static friction, and it will not move in the direction where the applied force is exerting its force.

Therefore, there is no movement of the box when a strain of 30 N is applied to the rope and it is pulled.

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How to calculate magnitude of tension if given an angle of 10°

Answers

Answer:

Mag isip ka po wag Kang tanong ng tanong kac kami po Yung nahihirapan mag hanap ng answer

All of the following are characteristics of gravity except

Answer 1-It is a force of attraction

Answer 2-It does not change

Answer 3-It is described as the bending of space

Answer 4 - it is responsible for the planets revolving around the sun

Answers

Gravity is not described as the bending of space.

So answer 3 is the correct option among them.

What is gravity?

Gravity is described as a fundamental interaction which causes mutual attraction between all things with mass or energy.

The characteristics of gravity include the following:

It is a force of attractionIt does not change it is responsible for the planets revolving around the sun

Gravity is also known as the universal force of attraction acting between all matter. Gravity has been found by experts to be by far the weakest known force in nature.

In conclusion,  Gravity creates stars and planets by pulling together the material from which they are made.

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Somebody please help it’s urgent!!!!

In the tug of war game, none of the teams won. What can you conclude about the forces of the two teams ? Write all the evidence to support your answer.

Answers

Answer:

Explanation:

We can conclude that the forces of the two teams are equal and opposite and hence they cancel each other. Therefore none of the teams won as the rope did not move.

hope this helps

plz mark as brainliest!!!!!!!

. A 5cm tall object is placed perpendicular to the principal axis of a convex lens of focal
length 10 cm. The distance of the object from the lens is 15 cm. Find the nature, position
and size of the image. Also find its magnification

Answers

The nature of the image formed by the convex lens is virtual, the position of the image is 30 cm away from the lens on the same side as the object, and the size of the image is twice the size of the object. The magnification is 2, meaning the image is magnified.

Given:

Object height (h) = 5 cm

Focal length of the convex lens (f) = 10 cm

Object distance (u) = 15 cm (positive since it's on the same side as the incident light)

To determine the nature, position, and size of the image, we can use the lens formula:

1/f = 1/v - 1/u

Substituting the given values:

1/10 = 1/v - 1/15

To simplify the equation, we find the common denominator:

3v - 2v = 2v/3

Simplifying further:

v = 30 cm

The image distance (v) is 30 cm. Since the image distance is positive, the image is formed on the opposite side of the lens from the object.

To find the magnification (M), we use the formula:

M = -v/u

Substituting the values:

M = -30 / 15 = -2

The magnification is -2, indicating that the image is inverted and twice the size of the object.

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At what speed does the squid eject the water?

Answers

Answer:

3.5 m/s

Explanation:

A 15 kg block rest on a surface of a smooth plane incline at an angle 30 degree to the horizontal. A light in extensible string passing over a small Smooth Pulley at the top of the plane connect to the block to another 13/kg block hanging freely. find the acceleration of the resulting motion and the tension in the string.

If the coeficient of kinetic friction between the plane and the 15kg mass is 0.25. find the acceleration of the resulting motion

Answers

The acceleration of the system is 2.77 m/s² and the tension in the string is 127.4 N, given the provided values.

Given: Mass of the first block (m1) = 15 kgMass of the second block (m2) = 13 kgAngle of the plane (θ) = 30°Coefficient of kinetic friction (μk) = 0.25, Acceleration of the resulting motion (a) = ? Tension in the string (T) = ?First, we need to resolve the weight of the first block into its components perpendicular to and along the plane. Then we can use the component parallel to the plane to find the force of friction acting on the first block. We can then use the net force acting on the first block to find its acceleration. Finally, we can use the acceleration of the first block to find the tension in the string.Resolving the weight of the first block into components parallel to the plane: m1gsinθ = 15 x 9.8 x sin30° = 73.5 N. Perpendicular to the plane: m1gcosθ = 15 x 9.8 x cos30° = 127.5 N. Finding the force of friction acting on the first block: μk = coefficient of kinetic friction = 0.25f = force of friction acting on the first block N = normal force acting on the first block N = perpendicular force acting on the first block = 127.5 Nf = μkN = 0.25 x 127.5 = 31.88 NThe net force acting on the first block:F = maF = m1aF = m1g sinθ - fF = 15 x 9.8 x sin30° - 31.88F = 73.5 - 31.88F = 41.62 N. Acceleration of the first block: a = F/m1a = 41.62/15a = 2.77 m/s². Finding the tension in the string: The tension in the string is the force acting on the second block. We can use the weight of the second block and the acceleration of the first block to find the tension.T - m2g = m1aT = m2g + m1aT = 13 x 9.8 + 15 x 2.77T = 127.4 NTherefore, the acceleration of the resulting motion is 2.77 m/s² and the tension in the string is 127.4 N.

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4. The winding ridge of a screw​

Answers

Answer:

Thread.

Explanation:

The most common form consists of a cylindrical shaft with helical grooves or ridges called threads around the outside.

When two positive charges are brought close together, what happens to the
field lines of the charges?


Answers

Answer:

they will move away from each other

an object with mass 2.0 kgkg is executing simple harmonic motion, attached to a spring with spring constant 280 n/mn/m . when the object is 0.020 mm from its equilibrium position, it is moving with a speed of 0.40 m/sm/s . a) Calculate the amplitude of the motion.b) Calculate the maximum speed attained by the object.

Answers

The amplitude is ≈ 10.18 s-1.

What is amplitude ?

The greatest displacement or distance that a point on a wave or vibrating body can travel in relation to its equilibrium position It is equivalent to the length of the vibration path divided in half.

What is speed ?

The speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined.

Speed = v = 0.55 m/s , given

Angular speed = ω , where:

W= \(\sqrt{K/M}\)= \(\sqrt{280 N/M/2.7Kg}\)= 10.18350154 =\(\sqrt{kg*m/ kg*s}\)

≈ 10.18 s-1

Amplitude = A, where:

A =\(\sqrt{x0+v0/w2}\)

Therefore, the amplitude is ≈ 10.18 s-1.

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Thanks to the direction finding feature in gmaps application, which most of us use, we can find our way. Here, the maps application offers us alternative routes. Among these suggestions, I want to choose the path that will have the least fuel and do this based on calculations. For example, one of the two directions may be short, but if that short route is also uphill, it will not be an economical route. In my opinion the most important factor is elevation. If we take elevation into account other factors such as friction, where assuming the same asphalt type is often used in the same area for friction, I think the correct result will be achieved. In your opinion, what are the input data required to find the least energy path, what assumptions can be made and what are the necessary formulations and calculations?

Answers

In my opinion, I think that the input data that are required to find the least energy path are:

ElevationDistance

What is a Map?

This refers to the use of a diagram to represent the features of a place that shows its physical landforms to help in navigation.

Hence, we can see that when using maps like gmaps, it is important to consider both elevation and distance to be able to find the path that uses the least energy.

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Discuss the circuits.
Name all the
components. What
will happen to bulb
B1 if the bulb B2 is
replaced with
connecting wire in
each circuit?

Answers

The series circuit has components connected in a sequence, while the parallel circuit has components connected in different branches. If bulb B2 is replaced with a wire in the series circuit, bulb B1 will not light up, while in a parallel circuit, it will still light up.

Circuits are basically the pathways that allow the flow of electric current. These circuits have different components. In this context, there are two circuits, the series circuit, and the parallel circuit. The series circuit has bulbs connected in a sequence where current flows through each bulb in turn. In contrast, the parallel circuit has bulbs connected to different branches. The current flows through each bulb separately.In a series circuit, the components are a power source, resistors, and wires. A power source can be a battery or a generator that is connected in a sequence with resistors and wires. The bulbs B1 and B2 are connected in series. If bulb B2 is replaced with a connecting wire, then the circuit will become incomplete, and bulb B1 will not light up. This is because in a series circuit, if one component is disconnected, the entire circuit becomes open, and the current stops flowing. Thus, if bulb B2 is replaced with a wire, the current will bypass the bulb, and the circuit will become incomplete. In a parallel circuit, the components are a power source, resistors, and branches. The bulbs B1 and B2 are connected in parallel. If bulb B2 is replaced with a connecting wire, the circuit will still work. This is because in a parallel circuit, each bulb has its branch, and the current flows through each bulb separately. Thus, if bulb B2 is replaced with a wire, the current will still flow through bulb B1, and it will light up.

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A car starts at a position of 1 km and moves to a final position of -3 km. What is the total distance traveled by the car?

Answers

The total distance covered by the car is 4 kilometers, this is because we are taking into account displacement and not just distance.

What is displacement?

Displacement is defined as the change in the position of an object while distance is an object's overall movement in a directionless fashion.

There are many different units that can be used to measure distance (inches, feet, miles, kilometers, and centimeters), but the meter is the SI unit. It is a scalar amount because it does not consider

On the number line, we can see the movement as follows

1 0 -1 -2 -3= 4km

Distance is always positive and never gets smaller as you move. Displacement can be negative, positive, or zero because it refers to the change in the position of an object with respect to its original location.

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The diagram below shows the velocity vectors for two cars that are moving
relative to each other.
45 m/s west
25 m/s east
Car 1.
Car 2
From the frame of reference of car 2, what is the velocity of car 1?
OA. 70 m/s east
B. 20 m/s west
OC. 70 m/s west
OD. 20 m/s east
SUBMIT

Answers

The velocity of the car 1 can be seen from the calculation as 20 m/s West

What is relative motion?

A coordinate system or point of view used to observe motion is known as a frame of reference. It can be used as a guide when describing an object's position, speed, and acceleration. Different frames of reference may result in various motion observations.

The relative velocity is the velocity of an object or observer as observed from a particular frame of reference.

We can see that the velocity of the car 1 is;

45 m/s - 25 m/s

= 20 m/s West

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A projectile is launched over level ground with an initial velocity of 65 m/s at 30° above the horizontal. What is
the projectile's time of flight? (SHOW WORK)
A. 3.6 s
B. 6.6 s
C. 11 s
D. 13 s

Answers

The projectile's time of flight is approximately 6.6 seconds, which is closest to option B.

Projectile Motion: What Is It?

An object that is shot into the air and subsequently proceeds along a curved route while being pulled by gravity is said to be in projectile motion. There is no additional propulsion or lift involved. A ball that is tossed, a bullet that is shot from a pistol, or a rocket that is launched into space are examples of things in projectile motion.

We can use the kinematic equations of motion to calculate the projectile's time of flight. The initial velocity can first be divided into its horizontal and vertical components as follows:

\(Vx = V \times cos(\theta)\\= 65 m/s \times cos(30)\\= 56.18 m/s\\Vy = V \times sin(theta)\\= 65 m/s \times sin(30)\\= 32.5 m/s\\\)

where V is the magnitude of the initial velocity, and theta is the launch angle (30 degrees).

The horizontal velocity of the projectile remains constant throughout its flight, while the vertical velocity changes due to the effect of gravity. At the highest point of the trajectory, the vertical velocity becomes zero, and the time it takes to reach this point is equal to half of the time of flight.

The time it takes for the projectile to reach the highest point can be found using the following kinematic equation:

\(V_y = V_oy + a \times t\)

where Voy is the vertical component of the initial velocity (in this case, 32.5 m/s), a is the acceleration due to gravity (-9.81 m/s^2), and t is the time it takes to reach the highest point.

\(0 = 32.5 m/s + (-9.81 m/s^2) \times t\\t = 3.32 s\)

The total time of flight can be found by doubling the time it takes to reach the highest point:

time of flight = 2 × 3.32 s

                      = 6.64 s

Therefore, the projectile's time of flight is approximately 6.6 seconds, which is closest to option B.

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(a) What do you mean by rest?​

Answers

It’s where the vehicle stops moving.

I hope this helps.

A hollow, spherical shell with mass 2.00 kg rolls without slipping down a 33.0 ∘ slope.
Find the acceleration.
Find the friction force.

Answers

The acceleration of the spherical shell is determined as 6.37 m/s².

The friction force is 12.74 N.

What is the coefficient of friction of the surface?

The coefficient of friction of the surface is calculated as follows;

Fsinθ = μFncosθ

where;

F is the applied force on the spherical shellFn is the weight of the spherical shell

mg(sin θ) = (μmg) cosθ

(sin θ) = μ cosθ

μ = sinθ/cos θ

where;

g is acceleration due to gravityθ is angle of inclination of the slope

μ = tan θ

μ = tan(33)

μ = 0.65

The acceleration of the spherical shell is calculated as;

a = μg

a = 0.65 x 9.8 m/s²

a = 6.37 m/s²

The frictional force is calculated as follows;

Ff = μmg

Ff = 0.65 x 2 x 9.8

Ff = 12.74 N

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What energy transformation takes place when you stretch a bungee cord?

Answers

Answer:

potential energy

Explanation:

The speed of light is 3×10^8 meters per second, which means that light can travel 300 million meters in just one second. How far can light travel in one minute?

Answers

Answer:

(1.8 × 10^9) meters in one minute

Explanation:

To determine how far light can travel in one minute, we need to multiply its speed by the number of seconds in a minute.

The speed of light is 3 × 10^8 meters per second.

There are 60 seconds in a minute.

Therefore, the distance light can travel in one minute is:

Distance = Speed × Time

Distance = (3 × 10^8 meters per second) × (60 seconds)

Calculating this, we get:

Distance = 3 × 10^8 meters/second × 60 seconds

Distance = 18 × 10^8 meters

Distance = 1.8 × 10^9 meters

So, light can travel approximately 1.8 billion (1.8 × 10^9) meters in one minute.

the very act of observing a particle has a dramatic effect on its behaviour why do you think this is the case​

Answers

Answer:

Explanation:

In the microscopic world of quantum mechanics, particles don't behave like familiar everyday objects. They can exist in multiple states simultaneously and behave as both particles and waves. When we try to measure or observe a particle, we typically use light or other particles to interact with it. However, this interaction can disturb the particle's state. Imagine trying to measure the position of an electron using light. Light consists of photons, and when photons interact with the electron, they transfer energy to it. This energy exchange causes the electron's position and momentum to become uncertain. The more precisely we try to measure its position, the more uncertain its momentum becomes, and vice versa. This is known as the Heisenberg uncertainty principle.

So, the act of observing a particle disturbs its state because the interaction between the observer and the particle affects its properties. The very act of measurement or observation introduces a level of uncertainty and alters the particle's behavior. It's important to note that this behavior is specific to the quantum world and doesn't directly translate to the macroscopic world we experience in our daily lives. Quantum mechanics operates at extremely small scales and involves probabilities and uncertainties that are not typically noticeable in our macroscopic observations.

If an ice cube has a mass of 5g and is left in the sun in a beaker, what will happen to its mass?​

Answers

Answer:

The mass remains the same

Explanation:

An ice cube of mass 5g left in the sun in a beaker will have no mass difference.

For this system, mass is conserved.

The ice cube begins to melt and the state changes. The state change is from solid to liquid. Since no mass is loss, the mass of the liquid formed and the ice will remain the same. In retrospect, this physical change ensures that mass is conserved.


In a DC generator, the generated emf is directly proportional to the

Answers

In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.

This relationship is described by the equation for the generated emf in a DC generator:

Emf = Φ * N * A * Z / 60

Where:

Emf is the generated electromotive force (in volts),

Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),

N is the number of turns in the armature winding,

A is the effective area of the armature coil (in square meters),

Z is the total number of armature conductors, and

60 is a constant representing the conversion from seconds to minutes.

From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.

The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.

The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.

Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.

By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.

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When an object is placed within the focal length of a convex lens, the image appears on the same side as the object itself. This situation is shown below. In this situation, which of the following statements is true?

When an object is placed within the focal length of a convex lens, the image appears on the same side

Answers

Answer:

the image formed is virtual, this means that it is the prolongations of the rays that form the image. It is straight and magnified by the quantity

Explanation:

In a lens there is a relationship between the focal length, the distance to the object and to the image given by the constructor equation

          1 / f = 1 / o + 1 / i

where is the focal length, or and i are the distance to the object and the image respectively.

In the case presented, the object is within the focal length, so the image formed is virtual, this means that it is the prolongations of the rays that form the image. It is straight and magnified by the quantity

         m = - i / o

Answer:A

Explanation:Got it right :)

The following images show five planets in our solar system. rank these planets from left to right based on their average surface (or cloud-top) temperature, from highest to lowest. (not to scale.)

The following images show five planets in our solar system. rank these planets from left to right based

Answers

The order of the average surface temperature of the given planets as Mercury, Earth, Mars, Jupiter, and Neptune based on their distance from the sun.

What is the solar system?

The Solar System can be described as the gravitationally bound system of the Sun and the plants are the objects that orbit it. The solar system is formed 4.6 billion years ago from the gravitational collapse of a giant interstellar cloud.

Most of the mass of the solar system is contained in the Sun and the remaining mass is in the planet Jupiter. The four inner planets Mercury, Venus, Earth, and Mars are terrestrial planets, made primarily of rock and metal.

The two largest planets Jupiter and Saturn, are gas giants, made mainly of hydrogen and helium. The next two, Uranus and Neptune, are ice giants, made of volatile substances with hydrogen and helium, such as ammonia, water, and methane.

The average surface temperature of Mercury is 333°F (167°C), Earth 59°F (15°C), Mars -85°F (-65°C), Jupiter -166°F (-110°C), and Neptune -330°F (-200°C)

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When an atom is neutral the...?
A.the number of neutrons and protons are the same
B.the number of neutrons and electrons are the same
C.the number of protons and electrons are the same
D.all atoms are neutral regardless of the number of protons, neutrons, and electrons

Answers

Answer:

c

Explanation:

if numbers of protons and electrons are equal, the atom is neutral

Answer:

C.the number of protons and electrons are the same.

Explanation:

Protons have a positive charge, while electrons have a negative charge.

So, if there are more electrons (-) than protons (+), the atom will have a negative charge.

If the atom has more protons (+) than electrons (-), it will have a positive charge.

If they have the same number of negative and positive, they "cancel" out, making it neutral.

M
An 80% furnace's discharge air temperature is 125 degrees F and is adding heat to a space at the rate of 80,000 BTU's an hour. What is the input rating of the furnace?
a. 60,000 Btu's
b. 120,000 Btu's
c. 75,000 Btu's
d. 100,000 Btu’s

Answers

D. The input rating of the furnace is determined as 100,000 BTU.

What is input rating?

Input power rating means the power, expressed in Watts or one of its multiples, for which the energy storage unit has been designed to operate at nominal conditions.

eff = (output rating / input rating) x 100%

80/100 = 80,000 BTU / input rating

0.8 = 80,000 BTU / input rating

input rating = 80,000 BTU/0.8

input rating = 100,000 BTU

Thus, the input rating of the furnace is determined as 100,000 BTU.

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How did the Cold War create an atmosphere of competition across the globe? write a paragraph that describes how the cold war led to global competition. Edg 2020, I need help quick please help! its math and im so confused! Question 12 0.5 pts If (market-determined) equilibrium price is stable (meaning no shortage or surplus), then why there is a shortage of hand-sanitizer in the market? Market was not allowed to adjust Phishing is not often responsible for PII data breaches the tires of a car make 73 revolutions as the car reduces its speed uniformly from 94.0 km/hkm/h to 58.0 km/hkm/h. the tires have a diameter of 0.90 mm. The following uses a 4-step proof, starting with the given statement. Complete the following proofGiven: JK | MNProve: 1, 2 are complementary Please help I will mark brainliest Tools that can help consumers compare health insurance products and providers and make informed decisions about how to spend their health care dollars are called which assessment data is supportive of a diagnosis of antisocial personality disorder? select all that apply. Which quotation from the passage is evidence that interaction with another character encourages Nathan? Please tell me, and explain, several different methods we can use to understand a large amount of data in a short amount of time. Further, why is this important for NWP models? Calculate the area of the triangle ABC (not using Heron's formula), given a = 9', c = 13' and B = 41o. Oxford Company has two divisions. Thames Division, which has an investment base of $80,600,000, produces and sells 950,000 units of a product at a market price of $149 per unit. Its variable costs total $40 per unit. The division also charges each unit $70 of fixed costs based on a capacity of 1,000,000 units.Lakes Division wants to purchase 240,000 units from Thames. However, it is willing to pay only $142 per unit because it has an opportunity to accept a special order at a reduced price. The order is economically justifiable only if Lakes can acquire Thames output at a reduced price.Required:a. What is the ROI for Thames without the transfer to Lakes? (Round your answer to 2 decimal places.)ROI%b. What is Thames ROI if it transfers 240,000 units to Lakes at $142 each? (Note: Assuming division Thames operates at capacity and adjusts regular sales to accommodate transfer of units to Lakes) (Round your answer to 2 decimal places.)ROI%c. What is the minimum transfer price for the 240,000-unit order that Thames would accept if it were willing to maintain the same ROI with the transfer as it would accept by selling its 950,000 units to the outside market? (Note: Assuming division Thames operates at capacity and adjusts regular sales to accommodate transfer of units to Lakes) (Round your answer to 2 decimal places.)Minimum transfer priceper u Which of the given statements is the most direct result of the correct monetary policy from the first question?a. increasing reserves to decrease interest rates.b. increases in investment, aggregate demand, and longrun growth The propagation of a wave on a string is expressed as y(x,t)=ym sin(kx - cot). 1 0y = Prove that y(x,t) satisfies the wave equation propagates. What is the value of v? v 8x where v is the rate a I WILL GIVE BRAINIEST PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Intro Unibloc Inc. currently sells 5.4 million construction set toys per year at a price of $39.95 each. The company has $13.9 million in debt with an average coupon rate of 6% and 15 million shares outstanding, which trade at $47.72. The company's average tax rate is 29%. The company plans to modernize its production process. The new machines will cost $8.3 million and will reduce the variable cost per unit to $29.96, while increasing fixed costs, including depreciation, to $18.4 million. Sales will be unaffected. They company could rais $8.3 million by borrowing at an interest rate of 6% or by selling more shares at the current stock price. Part 1 IB Attempt 3/10 for 10 pts. What would be EPS if the investment is financed with debt? Correct v New interest expenses: 11 = (Do + AD) * i = (13.9 + 8.3) * 0.06 = 1.332 Net income with debt financing: Nip = ((P-V1) Q - F1 - 11) (1-t) = ((39.95-29.96) 5.4 - 18.4 - 1.332) (1-0.29) = 24.28 Earnings per share: EPSD = NID / No = 24.28 / 15 = 1.619 Part 2 IB Attempt 1/10 for 10 pts. What would be EPS if the investment is financed with equity? Correct v Initial interest expenses: lo = Do * i = 13.9 * 0.06 = 0.834 New number of shares outstanding after issuing more equity: Ne = No + Investment / Po = 15 +8.3/47.72 = 15.17 Net income with equity financing: NIE = ((P-V1) Q - F1 - lo) (1-t) = ((39.95-29.96) 5.4 - 18.4 -0.834) (1-0.29) = 24.64 Earnings per share: EPSE = NIE / NE = 24.64 / 15.17 = 1.624 Part 3 1B | Attempt 1/10 for 10 pts. What number of units sold will lead to the same EPS with debt financing and equity financing (in million)? 3,062,623.30 Try again Try again See solution (-2 pts.) Consider a two-ply laminate where each lamina is isotropic. The lower lamina has thickness t, Young's modulis E, and Poisson's ratio v. The upper lamina has thickness tu, Young's modulus Eu, and Poisson's ratio v.(a). Calculate the extensional stiffness matrix (A), the coupling matrix (B) and the flexural stiffness matrix (D) for the laminate, in terms of the given properties.(b). What relation should the lamina parameters satisfy for (B) to be a zero matrix? Lillian is 55 years old. Her doctor has noticed a sharp decrease in her estrogen levels, and Lillian is complaining about nausea and fatigue. What will her doctor probably tell her Please brainliest And happy Halloween