Suppose There Is No Damping In A Mass And Spring System With M = 5, K = 20, And F(T) = 5 Cos(Wt). Suppose W Is Chosen To Be precisely the resonance frequency. a) find w b) find the amplitude of the oscillations at time t = 100, given the system is at rest at t = 0

When you push a pencil off your desk, the energy transformation that takes place is that potential energy transforms into kinetic energy.

The correct answer to the given question is option C.

Potential energy is the energy stored within an object because of its position or configuration.

In this scenario, the pencil has potential energy because of its elevated position on the desk. When the pencil is pushed off the desk, it begins to move, which means that it has kinetic energy. Kinetic energy is the energy of motion.

As the pencil falls off the desk, its potential energy is transformed into kinetic energy, which is the energy that results from its motion. The faster the pencil falls, the greater its kinetic energy will be because kinetic energy is directly proportional to the square of an object's velocity.

Therefore, when you push a pencil off your desk, the potential energy that it has because of its elevated position is transformed into kinetic energy as it falls towards the ground.

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As a result, the Transient Conduction experiment becomes more precise in measuring the heat of the chemical reaction alone by using this approach, which also minimises the influence of heat transmission between the cylinder and the surroundings.

As a result, rather than heat transmission between the cylinder and its surroundings, the temperature change of the cylinder during the experiment may be mostly attributable to the heat absorbed or released during the chemical reaction taking place inside the cylinder.

When a system and a heat reservoir are in thermal contact, heat flows from the system to the reservoir or vice versa until they attain thermal equilibrium, or when the temperatures of the system and the reservoir are equal.

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Correct Question:

In this experiment(Transient Conduction (Heat and mass transfer)), the starting temperature was about as far below room temperature as the final temperature was above room temperature. explain why this procedure tends to minimize the effect of heat transfer between the cylinder and the environment.

I believe a scale is good

Impurities will lower the melting point of a pure compound and increase the melting point range.

When an impurity is mixed with a pure substance, it lowers the melting point of the compound and expands its melting range. If a substance has a pure melting point of 110-111°C, adding a 5% impurity would cause the melting point to drop to 103-107°C, while the melting point range would broaden. It's difficult to predict the precise melting point range, but estimates such as 100-105°C, 97-100°C, and 102-110°C are all possible.

Impurities that are added to a substance have a noticeable effect on the melting point of the pure substance, which is used to evaluate the purity of the sample. The melting point of a compound is an important characteristic that chemists use to determine its identity and purity.

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Answer:

ca taode na kadato itoi runa ko

Answer:

Explanation:

Sound needs a material medium for their propagation like solid, liquid or gas to travel because the molecules of solid, liquid and gases carry sound waves from one point to another. Sound cannot progress through the vacuum because the vacuum has no molecules which can vibrate and carry the sound waves.

Frequency= no. of oscillations/time=40/60sec

4/6=0.66

The magnitude of pqr is approximately 78.509 when rounded to the thousandths place.To find the magnitude of the vector formed by p, q, and r, we can use the law of cosines.

First, let's find the x and y components of each vector:

For vector p:
Magnitude: 40
Direction: 25°

The x component of p can be found using the formula:
p_x = p * cos(direction)
=> p_x = 40 * cos(25°)
The y component of p can be found using the formula:
p_y = p * sin(direction)
=> p_y = 40 * sin(25°)

For vector q:
Magnitude: 75
Direction: 270°

The x component of q can be found using the formula:
q_x = q * cos(direction)
=> q_x = 75 * cos(270°)
The y component of q can be found using the formula:
q_y = q * sin(direction)
=> q_y = 75 * sin(270°)

For vector r:
Magnitude: 30
Direction: 220°

The x component of r can be found using the formula:
r_x = r * cos(direction)
=> r_x = 30 * cos(220°)
The y component of r can be found using the formula:
r_y = r * sin(direction)
=> r_y = 30 * sin(220°)

Now, let's calculate the sum of the x and y components:

x_{sum} = p_x + q_x + r_x
y_{sum} = p_y + q_y + r_y

The magnitude of the vector formed by p, q, and r can be found using the formula:
magnitude = sqrt(x_{sum}^2 + y_{sum}^2)

Calculate the magnitude using the given values and round to the thousandths place:

magnitude = sqrt(x_{sum}^2 + y_{sum}^2)
=> magnitude = sqrt((p_x + q_x + r_x)^2 + (p_y + q_y + r_y)^2)

After calculating, the magnitude of pqr is approximately 78.509 when rounded to the thousandths place.

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For an 85 kg man walking on a treadmill at a speed of 2.8 mph with a 6% grade, we can calculate both the relative and absolute VO2 values. Similarly, for a 65 kg woman running on a treadmill at a speed of 6.0 mph with a 2% grade.

1. For an 85 kg man walking on a treadmill at a speed of 2.8 mph with a 6% grade:

Relative VO2:

\(\[\text{{VO}}2_{\text{{relative}}} = 3.5 + 0.1 \times \text{{speed}} + 1.8 \times \text{{speed}} \times \text{{grade}}\]\[\text{{VO}}2_{\text{{relative}}} = 3.5 + 0.1 \times 2.8 + 1.8 \times 2.8 \times 0.06\]\[\text{{VO}}2_{\text{{relative}}} \approx 7.33 \, \text{{ml/kg/min}}\]\)

Absolute VO2:

\(\[\text{{VO}}2_{\text{{absolute}}} = \text{{VO}}2_{\text{{relative}}} \times \text{{body weight}}\]\[\text{{VO}}2_{\text{{absolute}}} = 7.33 \times 85\]\[\text{{VO}}2_{\text{{absolute}}} \approx 622.05 \, \text{{ml/min}}\)

2. For a 65 kg woman running on a treadmill at a speed of 6.0 mph with a 2% grade:

Relative VO2:

\(\[\text{{VO}}2_{\text{{relative}}} = 3.5 + 0.1 \times \text{{speed}} + 1.8 \times \text{{speed}} \times \text{{grade}}\]\[\text{{VO}}2_{\text{{relative}}} = 3.5 + 0.1 \times 6.0 + 1.8 \times 6.0 \times 0.02\]\[\text{{VO}}2_{\text{{relative}}} \approx 12.37 \, \text{{ml/kg/min}}\]\)

Absolute VO2:

\(\[\text{{VO}}2_{\text{{absolute}}} = \text{{VO}}2_{\text{{relative}}} \times \text{{body weight}}\]\[\text{{VO}}2_{\text{{absolute}}} = 12.37 \times 65\]\[\text{{VO}}2_{\text{{absolute}}} \approx 803.05 \, \text{{ml/min}}\]\)

These calculations provide the values for both the relative and absolute VO2 for the given scenarios. The relative VO2 is expressed in milliliters per kilogram per minute (ml/kg/min), and the absolute VO2 is given in milliliters per minute (ml/min).

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Answer:

conduction

Explanation:

conduction is the movement of heat from one point to another on a metal.

Hope it helps.

Answer:

Sound coming from the speaker would reach your left ear faster and be louder than the sound that reaches your right ear.

Explanation:

Just an example

Two forces produce the same torque but this will not ensure that they have the same magnitude of torque because torque is the product of force times distance.

Torque is a measure of the force that can cause an object to rotate about an axis. Just as force is what causes an object to accelerate in linear kinematics, torque is what causes an object to acquire angular acceleration. Torque is a vector quantity.

The physical quantities for which both magnitude and direction are defined distinctly are known as vector quantities. For example, a boy is riding a bike with a velocity of 30 km/hr in a north-east direction.

The quantity torque (or moment of force) may be thought of as the cross product of force and distance and the SI unit for torque is Newton metre, N m (m2 kg s-2).

No, Because torque is the product of force times distance, two different forces that act at different distances could still give the same torque.

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The equation that expresses the amount of energy the refrigerator has used as a function of time can be derived by considering two components: the energy used per hour and the initial energy required to start the refrigerator.

Let's denote the energy used per hour as E_hour and the initial energy required to start the refrigerator as E_start.

The total energy used by the refrigerator, E_total, can be calculated by multiplying the energy used per hour by the time in hours, t, and adding the initial energy required:

E_total = E_hour * t + E_start

In this case, the energy used per hour is given as 200 j, and the initial energy required is given as 1200 j. Therefore, the equation becomes:

E_total = 200t + 1200

This equation expresses the amount of energy the refrigerator has used as a function of time, where time is given in hours.

To calculate the energy used by the refrigerator at a specific time, substitute the desired value for t into the equation and solve for E_total.

For example, if you want to calculate the energy used after 3 hours:

E_total = 200 * 3 + 1200
        = 600 + 1200
        = 1800 j

So, after 3 hours, the refrigerator will have used 1800 joules of energy.

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Answer:

dₓ = 1.35 m

dy = 1.86 m

Explanation:

In order to find the vertical and horizontal components of the displacement, we can assume a right triangle. Such that, the length of string is the hypotenuse, making and angle of 54° with the base of triangle. The base is the horizontal component of displacement. And the perpendicular is the vertical component of displacement. Therefore:

\(d_{x} = d\ Cos\ \theta\)

where,

dₓ = horizontal component of displacement = ?

d = resultant displacement = 2.3 m

θ = angle between displacement and ground = 54°

Therefore,

\(d_{x} = (2.3\ m)\ Cos\ 54^0\)

dₓ = 1.35 m

For vertical component of displacement:

\(d_{y} = d\ Sin\ \theta\\d_{y} = (2.3\ m)\ Sin\ 54^0\)

dy = 1.86 m

The mass of the child riding the merry-go-round is approximately 26.97 kg.

The mass of the child, we can use the centripetal force equation:

Centripetal force = (mass * velocity^2) / radius

Centripetal force (F) = 387 N

Velocity (v) = 24 rev/min = 24 * 2π rad/min

Radius (r) = 1.62 m

Plugging in the values into the equation:

387 = (mass * (24 * 2π)^2) / 1.62

Simplifying and solving for mass:

mass ≈ (387 * 1.62) / ((24 * 2π)^2)

mass ≈ 26.97 kg

Therefore, the mass of the child is approximately 26.97 kg.

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Answer:

B

Explanation:

Using kitchen and bath exhaust fans may increase heating and cooling requirements, as they remove conditioned air and draw in unconditioned air from outside.

Kitchen and bath exhaust fans work by extracting air and moisture from the rooms they are installed in, which helps to reduce humidity and odors. However, they can also remove conditioned air (heated or cooled) from your home, forcing your heating and cooling system to work harder to maintain the desired temperature. This can lead to increased energy consumption and costs.

To mitigate this issue, make sure the exhaust fans are properly sized and vented, and use them only when necessary. Additionally, consider using energy-efficient models or installing a heat recovery ventilator (HRV) or energy recovery ventilator (ERV) to help minimize energy loss while maintaining a comfortable indoor environment.

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The slope of the illustrated graph would give us the velocity of the object whose motion is plotted in the graph.

Velocity refers to the rate of movement of objects along a particular line. In other words, the velocity of an object is the speed of the object in a specific direction relative to time.

Also, velocity = displacement/time.

In the graph, the slope is given by: Δy/Δx = displacement/time = velocity.

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The speed of the sound wave after the flash was seen, in the experiment for measuring the speed of sound gun is 110 m/s.

The speed of the sound wave can be determined by applying the principle of echoe as shown below;

v = 2d/t

where;

v = (2 x 715) / (13)

v = 110 m/s

Thus, the speed of the sound wave after the flash was seen, in the experiment for measuring the speed of sound gun is 110 m/s.

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It would only operate in C. In A and D, closing the switch would introduce a pathway of zero resistance.

In which circuit below would the lamp operate correctly when switch S is closed?

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The magnitude of the electric field at the third vertex of the triangle is determined as zero.

The electric field at the third vertex of the equilateral triangle due to the other charges placed on the first and second vertices is calculated as follows;

E = E(13) + E(23)

E = (kq₁)/r² + (kq₂)/r²

where;

E =  (kq₁)/r² - (kq₂)/r²

E = 0

Thus, the magnitude of the electric field at the third vertex of the triangle is determined as zero.

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Answer:

B is the answer

Explanation:

Magnetic fields are produced by moving electric charges and the intrinsic magnetic moments of elementary particles associated with a fundamental quantum property, their spin.

Answer:

2

1

2

1

3

1

Explanation:

I'm pretty sure these are right. you might want to go back and check the first and third, but the other 4 are right

The greater mass will have greater acceleration is a fact from second law of motion. Thus, first situation is an example of second law. Spilling of water from the glass indicates the first law , that is law of inertia.

Newton' s first law of motion states that, every body tends to continue on the state of motion or rest until an external force acts upon it. This law is called law of inertia.

Second law states that the force applied on a body is directly proportional to the mass and acceleration.

Newton's third law states that, for every action there is an equal and opposite reaction. The first statement indicates the second law of motion and water spilling indicates the law of inertia.

As the mass increases, more force to be applied and acceleration decreases with mass. Thus third situation indicates second law. The magician pulling the cloth from stationary, hence it is first law.

A rocket launches by a force applied on the space and an opposing force from the fuel make it move indicating the third law. The last situation indicates the first law. Hence, the labeling is as 2,1,2,1,3,1.

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The following statements which best describes what the phrase "rate of change" is the difference in some quantity over some period of time and is denoted as option B.

This is referred to as the ratio between quantities such as velocity, acceleration etc. This is because velocity is referred to as the rate of change of displacement with time and the S.I unit is referred to as metre per second.

This is therefore the reason why difference in some quantity over some period of time was chosen as the most appropriate choice in this type of scenario.

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Answer:

https://brainly.com/question/24997963 this will help you. You need to sq rt the added values then divide a+b by the square value. Keeping anything thats negative negative if negative is answer and set to = cos theta. then convert from cos theta = 1 cos will = 0. But if cos theta = decimal then ensure its positive number and that's your answer. Formula a+b/ sqrt a+b

Explanation:

Explanation:

sink and fill in space..........

The correct statement regarding an object dropped from a height of 10m is that, at any point during the fall, neither the velocity nor acceleration depends on the mass of the object. Option 1 is correct.

When an object is dropped from a height of 10m, it falls freely under the influence of gravity. According to the laws of motion, the acceleration due to gravity is constant and is equal to 9.81 m/s^2. This means that the object's velocity changes by the same amount every second, regardless of its mass. Moreover, since the acceleration of the object is due to the gravitational force acting on it, it is independent of the object's mass.

Therefore, both the velocity and acceleration of the object during its fall do not depend on the mass of the object. This principle is known as the equivalence principle and is a fundamental concept in physics. It states that in a gravitational field, the effects of gravity are indistinguishable from the effects of acceleration. Therefore, the mass of an object has no influence on its motion under gravity, and both the velocity and acceleration are independent of the object's mass. Option 1 is correct.

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A luminaire that weighs more than _50__ pounds shall be supported independently of the outlet box, unless the outlet box is listed and marked on the interior of the box to indicate the maximum weight the box shall be permitted to support.

The National Electrical Code (NEC) provides guidelines for electrical installations, including requirements for luminaire support. In the NEC, Section 410.36 outlines the requirements for the support of luminaires. It states that a luminaire weighing more than 50 pounds should be supported independently of the outlet box unless the outlet box is specifically listed and marked for the maximum weight it can support. However, the weight limit can vary depending on the specific jurisdiction and local electrical codes.

To ensure compliance with safety standards, it is important to consult the specific electrical code requirements in your area or refer to manufacturer instructions that may provide guidance on the maximum weight a particular outlet box can support.

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The minimum radius of the circle is 5249m

The 76kg pilot's effective weight at the bottom of the circle is 5214N

The pilot's effective weight at the top the circle is 3724N

Here's the complete question:

a jet pilot takes his aircraft in a vertical loop.

a) if the jet is moving at a speed of 2000 km/h at the lowest point of the loop, determine the minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6.0g's

b) calculate also the 76kg pilot's effective weight ( the force with which the seat pushes up on him) at the bottom of the circle.

c) calculate the pilot's effective weight at the top the circle. (Assume the same speed.)

a) To determine the minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6.0g's.

v =2000 km/h

v = 2000/3.6 m/s

v = 555.6 m/s

centripetal acceleration, a

a = v²/r

Therefore

6g = v²/r

r = v²/(6g)

r =555.6²/(6*9.8)

r = 5249 m

b) The 76kg pilot's effective weight at the bottom of the circle

   76*(6g + g) = 76*7*9.8 = 5214 N

c) The pilot's effective weight at the top the circle.

    76*(6g-g) = 76*5*9.8 = 3724 N

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Given, Speed of the sound, v=675 m/s

The wavelength of the wave, λ=15 m

Relation between speed, wavelength, and frequency of a wave is given by

Where f is the frequency of the sound.

On substituting the known values,

Which gives us,

Therefore the frequency of the sound in the given medium is 45 Hz.