Based on what you know about observations of the interstellar medium at wavelengths other than for visible light, select all of the correct statements from the following list.
-The 21-cm radio observations are of neutral hydrogen.
-Much interstellar dust between stars is not visible.
-The source of hot gas observed at X-ray wavelengths is not known.
-All interstellar material is cool.
-Interstellar dust is observed at ultraviolet wavelengths.
-Giant molecular clouds consist mostly of CO molecules.
-Material observed at wavelengths longer than that of visible light is usually cool.

Answer:

3m/s is the answer.

Explanation:

f = c/λ

f = frequency

c = speed (m/s)

λ = wavelength

f = c/λ

1.5 = c/2

c = 3m/s

The velocity of the load right after the brake of the lorry is suddenly applied at t = 6 s, is 16.9 m/s.

The velocity of the load is determined from the ratio of the load displacement and time taken.

Mathematically, the formula for displacement is given as;

Displacement = change in displacement / change in time

The displacement of the load at 6 seconds is calculated as;

D = area under the curve

D = (15 s - 6 s ) x (20 m/s - 0 m/s)  +  ¹/₂ (19 s - 15 s ) x (20 m/s - 0 m/s)

D = 180 m  + 40 m

D = 220 m

The velocity of the load;

v = ( 220 m ) / (19 s - 6 s )

v = 16.9 m/s

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A.

This is momentum conservation, is important to maintain the direction to know the positive and negative values

B.

For this part, is important to use the correct units. On A it was not relevant because you can use any units, you only have to maintain them the same.

For the student who weighs 460 N and weirs a backpack that weighs 73 N, we have:

a) The magnitude of the net force on the student is 533 N.

b) The magnitude of the contact force on the student by the backpack is 73 N.

c) The magnitude of the contact force on the student by the ground is 533 N.

a) The magnitude of the net force on the student is given by the sum of forces in the vertical direction:

\( \Sigma F_{net} = W_{s} + W_{b} \)

Where:

\( W_{s}\): is the weight of the student = 460 N        

\( W_{b}\): is the weight of the backpack = 73 N

Hence, the magnitude of the net force is:

\(\Sigma F_{net} = W_{s} + W_{b} = 460 N + 73 N = 533 N\)

b) The magnitude of the contact force on the student is equal to the normal force as follows:

\( F_{c} = N_{c} \)

Where:

\( N_{c} \): is the normal force on the student by the backpack

This normal force is opposite to the weight force:

\( F_{c} = N_{c} = -W_{b} = -73 N \)

Hence, the magnitude of the contact force on the student by the backpack is 73 N.

c) The magnitude of the contact force on the student by the ground is the normal force:

\( F_{n} = N_{g} \)

Where:

\(N_{g} \): is the normal force on the student by the ground  

The normal force on the student by the ground is the opposite to the net force of point A, so:

\( F_{n} = -F_{net} = -533 N \)        

Therefore, the magnitude of the contact force on the student by the ground is 533 N.  

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The energy generated by the brakes is approximately 4,52,680.865 joules.

We need to use the formula for kinetic energy:

KE = 1/2 * m * v^2

Converting the speed from km/h to m/s:

95 km/h = (95 km/h) * (1000 m/km) * (1 h/3600 s) = 26.39 m/s

Plugging in the values:

KE = 1/2 * (1300 kg) * (26.39 m/s)^2

KE = 452680.865 J

Therefore, the energy generated by the brakes is approximately 4,52,680.865 joules.

To convert joules to kilocalories, we can use the conversion factor:

1 kcal = 4184 J

Dividing the energy in joules by the conversion factor:

4,52,680.865 J / 4184 J/kcal = 108.19 kcal (rounded to one decimal place)

Energy is a fundamental property of the universe that can be defined as the ability to do work. It is the capacity of a system to perform a task or produce a change. Energy can exist in many different forms, including thermal, electrical, chemical, nuclear, kinetic, potential, and electromagnetic.

Thermal energy is related to the temperature of a system, while electrical energy is related to the flow of charged particles. Chemical energy is stored in the bonds between atoms and molecules, and nuclear energy is stored in the nucleus of an atom. Kinetic energy is the energy of motion, while potential energy is the energy stored in an object due to its position or configuration. Electromagnetic energy is a form of energy that is transmitted through space in the form of electromagnetic waves.

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Answer:

red giant stars/ red hyper giants

Explanation:

take stephenson 2-18 for example the star is only 3200k where the sun is around 5000k.

The correct option is c) age. Noting the main sequence turnoff mass in a star cluster provides an estimate of the age of the cluster. The main sequence turnoff point is the point at which stars exhaust the hydrogen in their cores and begin to evolve away from the main sequence.

The mass of the star at the turnoff point is related to the age of the cluster, with higher-mass stars evolving off the main sequence more quickly than lower-mass stars.

Therefore, by determining the mass of stars at the turnoff point, astronomers can estimate the age of the star cluster.

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Answer:

A. The nucleus can be either positively charged or neutral.

Explanation:

The nucleus of an atom contains protons and neutrons only. Whereas electrons revolve around the nucleus. Protons are positively charged, neutrons have no charge and electrons are negatively charged.

The output at the BAT terminal is DC voltage.

A generator typically produces AC voltage but since most batteries and appliances uses DC voltage therefore through the use of diodes it is converted into DC voltage

A diode is an electrical component that allows the flow of current in only one direction. In circuit diagrams, a diode is represented by a triangle with a line across one vertex. The most common type of diode uses a p-n junction.

Six diodes are located in the end frame assembly nearest the slip rings.

Three of these diodes are negative and are mounted directly in the end

frame.

Three positive diodes are mounted into a heat sink, which is insulated from the end frame. These six diodes (three positive and three negative), change AC from the stator windings to a flow of DC, which appears at the output terminal of the alternator.

Thus, the rotor, stator, and diodes act together to produce DC voltage which appears at the BAT (output) terminal.

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Answer:

M2=0.52kg

Explanation:

thats rightt

Answer:

Here are two security mechanisms that are widely used in electrical circuits as well as appliances.

Explanation:

Answer:

Tangential speed, V = 2.78 m/s.

Explanation:

Given the following data;

Centripetal acceleration = 28m/s²

Radius = 27.5cm to meters = 27.5/100 = 0.275 meters

To find the tangential speed;

Centripetal acceleration = V²/r

Substituting into the formula, we have;

28 = V²/0.275

V² = 28 * 0.275

V² = 7.7

Taking the square root of both sides, we have;

Tangential speed, V = 2.78 m/s.

The tangential speed of the sock will be 7.7 m/sec².Tangential speed is  as the linear speed of any object travelling along a circular route.

Tangential speed is defined as the linear speed of any item travelling along a circular route.

A point on the outside edge of a turntable travels further in one complete rotation than a point towards the center.

The given data in he problem is;

a is the  centripetal acceleration =28m/s?

r is the  radius of 27.5cm

v is  the tangential speed of the sock=?

\(\rm a= \frac{v^2}{r} \\\\ \rm v= \sqrt{ar} \\\\ \rm v= \sqrt{28 \times 0.275 } \\\\ \rm v=7.7 \ m/sec^2\)

Hence the tangential speed of the sock will be 7.7 m/sec².

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To find the power delivered by the 5 A current source using the mesh-current method, we need to follow the steps

Step 1: Identify the meshes and assign mesh currents. In this circuit, we have two meshes. We can assign mesh currents i1 and i2 in the clockwise direction as shown in the diagram.

Step 2: Write Kirchhoff's voltage law equations for each mesh. Starting with mesh 1, we have: -5 + 8i1 - 2(i1 - i2) = 0 For mesh 2, we have: 2(i2 - i1) - 4i2 + 5 = 0 Step 3: Solve the equations simultaneously to obtain the mesh currents. Solving the equations above, we get: i1 = 1.4 A and i2 = 0.7 A Step 4: Calculate the power delivered by the current source. The power delivered by the current source is given by: P = VI where V is the voltage across the current source and I is the current through it. Since the voltage across the current source is 5 V, the power delivered is: P = 5 x 5 = 25 W Therefore, the 5 A current source delivers 25 W of power to the circuit.

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Answer:

A. Energy = 490 Joules

B. Power = 16.3 Watts

Explanation:

Given the following data;

Mass = 5kg

Height = 10m

Time = 3 seconds

To find the power;

First of all, we would have to determine the energy possessed by the object due to its height (potential energy).

We know that acceleration due to gravity is equal to 9.8m/s²

Energy = mgh

Energy = 5*9.8*10

Energy = 490 Joules

Now, we would find the power;

Power = energy/time

Power = 490/3

Power = 16.3 Watts

Three dogs are pulling on a peg. Two are pulling in the same direction with forces of 85 N and 65 N, respectively. The third dog is pulling in the opposite direction with a force of 70 N, then the peg needs 80 N force to keep from being pulled out

It is a type of force that acts in the opposite direction of the applied force, for example when one applies active force towards the stationery wall, the wall exerts a reactive force in the opposite direction.

As given in the problem three dogs are pulling on a peg. Two are pulling in the same direction with forces of 85 N and 65 N, respectively. The third dog is pulling in the opposite direction with a force of 70 N

By using the equilibrium of forces the forces on both sides of the peg

85 + 65 = 70 + Fp

where Fp is the resistive force of the peg

Fp = 80 N

Thus, the peg needs 80 N force to keep from being pulled out

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Answer:

metal conducts heat faster than wood. which means the metal conducted heat away from your hand (or whatever it is) faster than wood.

Explanation:

just because they feel warm/cold doesn't always mean that it is warm/cold. if they both were sitting at room temp for a long time, then both will eventually reach the temp of the room. even though they are the same temp the metal will feel colder than the wood because of the thermal conductivity of the metal compared to the wood.

The different thermal conductivities of metal and plastic are important in the design of the bowl is metal conducts heat faster than Plastic. which means the metal conducted heat away from your hand (or whatever it is) faster than Plastic.

Thermal conductivity can be defined as the degree to which heat is transmitted through the cross-section of the unit of an object, where the temperature exits directly across the surface.

Electrical conductivity is a measure of how much energy (moving charge) can pass through objects under the influence of a used electric field. Thermal conductivity measures how heat (heat moving energy) can pass through objects below temperature differences.

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The amount of power generated for a 162 J work done in 18 seconds is 9.0 Watts.

Power is the quantity of energy transferred per unit time. It can be expressed as;

P = E/t

Where P is power, E is energy and t is time.

Given the data in the question;

To determine the amount of power created, plug the given values into the formula above and solve for P.

P = E/t

P = 162kgm²/s² / 18.0s

P = 9 kgm²/s³

P = 9.0 W

Therefore, the power generated is 9.0 Watts.

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Answer:

Explanation:

A capacitor is an electronic component that stores and releases electrical energy. It consists of two conductive plates separated by an insulating material called a dielectric. When a voltage is applied across the plates, charge accumulates on them, creating an electric field between the plates.

The capacitance of a capacitor is a measure of its ability to store charge. It is typically represented by the symbol 'C' and is measured in farads (F). In your case, you mentioned a 55-μF (microfarad) capacitor, indicating its capacitance value.

When a voltage waveform is applied across a capacitor, the capacitor charges and discharges in response to the changes in voltage. The rate at which the capacitor charges and discharges depends on the capacitance and the resistance in the circuit

Since there is no figure provided in the text, I am unable to reference it for the specific details of the voltage waveform. However, I can explain the general behavior of a capacitor when a voltage waveform is applied.

When a voltage waveform is applied across a capacitor, the capacitor charges and discharges in response to the changes in voltage. The behavior of the capacitor is determined by its capacitance, which is given as 55 μF in this case.

As the voltage waveform varies, the capacitor stores and releases electrical charge. During the rising portion of the waveform, the capacitor charges and accumulates energy. During the falling portion, the capacitor discharges and releases the stored energy.

The exact behavior and characteristics of the voltage waveform and the charging/discharging process depend on the specific shape and frequency of the waveform. Without the specific details of the voltage waveform provided in the figure, it is challenging to provide a more detailed analysis.

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The resultant of the two given vectors is 346.4 units.

The resultant of the three vectors is the sum of all the three vectors acting together. The resultant vector is the single vector that will represent all the three vectors in terms of magnitude and direction.

The sum of the vectors in x-direction;

Vx = V cosθ

where;

for 200 units, θ = 0⁰ (above the horizontal)

for 400 units, θ = 60⁰ (above the horizontal)

Vx = 200 cos(0) - 400 cos(60)

Vx = 0

The sum of the vectors in y-direction;

Vy = 200 sin(0) + 400 sin(60)

Vy = 346.4 units

The resultant vector is calculated as;

V = √(Vx² + Vy²)

V = √(0² + 346.4²)

V = 346.4 units

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Answer:

the answer is a

hope it helps

The magnitude of the emf e induced in the loop after exactly time 9.00 s has passed since the circumference of the loop started to decrease is 0.0124V

Magnitude is simply "distance or amount" in the context of physics. In terms of motion, it shows the absolute and relative size, direction, or movement of an item. It is used to describe something's size or scope. Magnitude in physics often refers to a size or amount.

Magnetic Flux(t) = BA(t) = (B)(pi)[r(t)]^2

C(t) = \(C_0\)-at = 2π[r(t)]

So (B)(π)[r(t)]^2 = (B)(π)[C(t)/(2pi)]^2

= (B)[C(t)]^2/(4π)

By the chain rule of calculus dx^2/dt = 2x(dx/dt)

emf = (1.0)(0.11/(2π))(1.7-((9)(.11))) = 0.0124V

emf = (π)(B)(2r)abs(dr/dt)

emf = BC(t)abs(dr/dt)

emf at (t=9) = B(C_0+(dC/dt)t)abs(dr/dt)

emf = (1.0)(0.11/(2pi))(1.7-((9)(.11))) = 0.0124V

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Answer:

90.0

Explanation:

Because 78.8329 + 3.179=83.0119

83.0119 + 6.5263=89.5382 rounded up is 90.0000

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A rear-wheel-drive car has the given specifications and parameters: Car weight = 2600 lb;Wheelbase = 84 inches;Center of gravity = 20 inches above the roadway surface and 30 inches behind the front axle; Drivetrain efficiency = 85%; Wheel radius = 14 inches; Overall gear reduction = 7 to 1;

Torque/engine speed curve = Me = 6ne - 0.045ne2. The car is on a paved, level roadway surface with a coefficient of adhesion of 0.75. We have to determine the car's maximum acceleration from rest. To find the maximum acceleration from rest of the rear-wheel-drive car, we have to follow the below steps:

Step 1: Find out the static weight transfer when the car is accelerating from rest.

Step 2: Calculate the force of rolling resistance

Step 3: Find out the force of air resistance.

Step 4: Calculate the force to accelerate the car from rest.

Step 5: Find out the maximum acceleration of the car from rest.

The car would be going 60.5 mph if it could achieve its maximum speed when its engine is producing maximum power.

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To calculate the final thermal energy of gas A and gas B, we need to use the equation q = nCΔT, where q represents the thermal energy, n is the number of moles, C is the molar specific heat capacity, and ΔT is the change in temperature. By substituting the given values into the equation, we can determine the final thermal energy of both gases.

However, the initial temperatures of gas A and gas B are not provided, so we cannot directly compare their initial temperatures. The thermal energy alone cannot determine the temperature, as it depends on factors such as the number of moles and the specific heat capacity of the gas. Therefore, we would need additional information to compare the initial temperatures of gas A and gas B.

To further understand the concept of molar specific heat capacity and its relationship to thermal energy, it is important to study the properties of gases and their behavior when subjected to thermal changes. This knowledge can help in understanding how energy is transferred and how temperature changes affect the thermal energy of a gas.

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The electric field strength at 16m is weaker than the electric field strength at 8m.

A charged object creates an electric field, which acts as a force field on other charged things nearby. The size of the charge generating the field and its distance from the charge both affect how strong the electric field is. Lines of force can be used to illustrate electric fields, with the direction of the lines indicating the direction of the field. Many different physical phenomena, such as how electric charges behave and how electric circuits function, can be explained by electric fields.

The electric field strength around a point charge is inversely proportional to the square of the distance from the point charge. Specifically, the electric field strength at a distance of r from a point charge is given by the equation E = kq/r^2, where k is the Coulomb constant, q is the charge of the point, and r is the distance from the point charge.

Therefore, the electric field strength at 16m is (1/2)^2 = 1/4 times the electric field strength at 8m. So the electric field strength at 16m is weaker than the electric field strength at 8m.

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If two electrically charged objects repel each other, the statement that must be true is: the two objects have opposite electric charges. This indicates that one object is positively charged and the other is negatively charged. The other statements in the options are not necessarily true.

When two charged objects repel each other, it indicates that they have the same type of charge. According to the principle of electrical charge, objects with the same charge (either positive or negative) repel each other, while objects with opposite charges attract each other. Therefore, the statement that the two objects have opposite electric charges must be true in this scenario

If two electrically charged objects repel each other, the statement that must be true is: the two objects have opposite electric charges. This indicates that one object is positively charged and the other is  charged. The other statements in the options are not necessarily true.

When two charged objects repel each other, it indicates that they have the same type of charge. According to the principle of electrical charge, objects with the same charge (either positive or negative) repel each other, while objects with opposite charges attract each other. Therefore, the statement that the two objects have opposite electric charges must be true in this scenario.

The other statements in the options are not necessarily true. It is possible for one object to have more electrons and the other to have more protons, but it is not a requirement for the objects to repel each other. Similarly, while electrons can flow from one object to another when they touch (through a process known as electron transfer), this is not a determining factor for the repulsion between the objects. Lastly, the presence or absence of strong electrical fields does not directly determine the repulsion between the charged objects.

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The optimal values of \(q_1\) and \(q_2\) are determined by these equations, which are functions of Michael's income and the prices of the goods.

The given problem describes Michael's utility maximization problem with a constant elasticity of substitution (CES) utility function. The objective is to find the optimal values of \(q_1\) and \(q_2\) in terms of Michael's income (Y) and the prices of the two goods (\(p_1\) and \(p_2\)).

1. Substitute the income constraint into Michael's utility function:

\(U(q_1, q_2) = (q_1^\rho + q_2^\rho)^(1/\rho)\)

  s.t. \(Y = p_1q_1 + p_2q_2\)

  We can rewrite Michael's budget constraint as \(q_2 = (Y - p_1q_1)/p_2\). Substituting this expression into his utility function, we have:

 \(U(q_1, p_2, Y) = (q_1^\rho + [p_2(Y - p_1q_1)/p_2]^\rho)^{(1/\rho)\)

  By making this substitution, we have converted the constrained maximization problem with two control variables (\(q_1\) and \(q_2\)) into an unconstrained problem with one control variable \((q_1)\).

2. Use the standard unconstrained maximization approach to determine the optimal value for \(q_1\). To obtain the first-order condition, we differentiate the utility function with respect to \(q_1\) and set it equal to zero:

\(\delta U / \delta q_1 = \rho(q_1^{(\rho-1)} + \rho[p_2(Y - p_1q_1)/p_2]^{(\rho-1)}(-p_1/p_2)) = 0\)

Simplifying and solving for \(q_1\):

\(\rho q_1^{(\rho-1)} - \rho(p_1/p_2)[p_2(Y - p_1q_1)/p_2]^{(\rho-1)} = 0\)

\(\rho q_1^{(\rho-1)} - \rho(p_1/p_2)[Y - p_1q_1]^{(\rho-1)} = 0\)

\(\rho q_1^{(\rho-1)} = \rho(p_1/p_2)[Y - p_1q_1]^{(\rho-1)}\)

\(q_1^{(\rho-1)} = (p_1/p_2)[Y - p_1q_1]^{(\rho-1)\)

\(q_1^{(\rho-1)} = (p_1/p_2)^{(1-\rho)}[Y - p_1q_1]^{(\rho-1)}\)

\(q_1^{(\rho-1)} = (p_1/p_2)^{(1-\rho)}(Y - p_1q_1)^{(\rho-1)}\)

\(q_1^{(\rho-1)} = (p_1/p_2)^{(1-\rho)}(Y^{(\rho-1)} - (\rho-1)p_1q_1(Y - p_1q_1)^{(\rho-2)})\)

  This equation represents Michael's optimal \(q_1\) as a function of his income (Y) and the prices (\(p_1\) and \(p_2\)).

3. Similarly, we can derive a similar expression for his optimal \(q_2\):

\(q_2^{(\rho-1)} = (p_2/p_1)^(1-\rho)(Y^{(\rho-1)} - (\rho-1)p_2q_2(Y - p_1q_2)^{(\rho-2)})\)

  This equation represents Michael's optimal \(q_2\) as a function of his income (Y) and the prices (\(p_1\) and \(p_2\)).

Therefore, these equations, which depend on Michael's income and the prices of the commodities, determine the ideal values of \(q_1\) and \(q_2\).

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Answer:

1/2 m v^2 = G M m / R         speed of object at surface of earth

v^2 = 2 G M / R        escape speed needed

V = 3 v     if original speed = 3 * escape speed

v^2 / 9 = 2 G M / R

v^2 = 18 G M / R    where v is initial speed

v^2 = G M / R  * (18 - 2) = 16 G M / R     very far from earth

v = (16 G M / R)^1/2

v = (16 * 6.67E-11 * 5.98E24 / 6.37E6)^1/2

v = 31650 m/s = 19.7 mi/sec

When a particle is projected from the surface of Earth with a speed equal to 3 times the escape speed, its final speed when very far from Earth will be 2 times the escape speed.

The escape speed is the minimum speed required for an object to overcome Earth's gravitational pull and move indefinitely away from it.

When a particle is projected with a speed 3 times the escape speed, it has more than enough energy to escape Earth's gravity.

As the particle moves away from Earth, it loses some of its kinetic energy due to Earth's gravitational force. Eventually, when the particle is very far from Earth, it will have lost an amount of kinetic energy equal to the escape speed.

Summary: When a particle is projected with a speed 3 times the escape speed and reaches a point very far from Earth, its speed will be 2 times the escape speed.

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