A junction diode is operated in a circuit in which it is supplied with a constant current. What is the effect on the forward voltage of the diode if an identical diode is connected in parallel?

Answers

Answer 1

Answer:

The forward voltage is decreased by 17.31 MV if an identical diode is connected in parallel and the junction diode is operated in a circuit in which it is supplied with a constant current.

Explanation:

There are two instances to consider in this question;

Instance 1: when a single diode is supplied with a constant current II as shown below in (a). We assume that I1 = I which generates a forward voltage V1 across this diode.

Instance 2: when an identical diode is connected in parallel with the previous diode as shown below in (b). In this case the current flowing through each of them is I2 = I/2 and this current generates a forward voltage V2 across each of the two diodes.

V2 - V1 = 2.303 Vt log (I2/I1)

V2 = V1 + 2.303 Vt log (I2/I1)

V2 = V1 + 2.303 * 25 MV * log (I/2/I)

V2 = V1 + 2.303 *25 MV * log (1/2)

V2 = V1 -17.31 MV

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Related Questions

an object has a kinetic energy of 36.0 j. an object with three times the mass moving at the same speed will have a kinetic energy of

Answers

The kinetic energy of another body having three times the mass of the given object will be 108 J

Kinetic energy-In physics, the kinetic energy of an object is the energy  it has due to  motion. It is defined as the work required to accelerate a body from a given mass from rest to a specified speed.

The kinetic energy of a body is given by \(K.E= \frac{1}{2}Mv^{2}\) (first equation)

Given K.E= 36J

Now the mass of second body is m=3M

also the second body is moving with the same speed v

So kinetic energy of second body K.E₂= \(\frac{1}{2}mv^{2} =\frac{1}{2}(3M)v^{2}\)=36×3

=108J (from first equation)

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A cube is located with one corner at the origin of an x,y,z coordinate system. One of the cube's face lies in the x,y plane, another in the y,z plane, and another in the x,z plane/ In other words, the cube is in the first octant of the coordinate system. The edges of the cube are 0.20m long. A uniform electric field is parallel to the x,y plane and points in the direction of the +y axis. The magnitude of the field is 1500 N/C. Find the electric flux through each of the six faces of the cube. (b) Add the six values obtained in the part to show that the electric flux through the cubical surface is zero, as Gauss' law predicts, since there is no net charge within the cube.

Answers

a. The electric flux through each of the six faces of the cube is zero.

To answer this question, we must use Gauss' Law.

The electric flux is calculated as follows:

The electric flux through the face in the x,y plane is E*A = (1500 N/C)*(0.20m)2 = 600 Nm2/C.The electric flux through the face in the y,z plane is E*A = (1500 N/C)*(0.20m)2 = 600 Nm2/C.The electric flux through the face in the x,z plane is E*A = (1500 N/C)*(0.20m)2 = 600 Nm2/C.The electric flux through the face in the -y axis is E*A = (-1500 N/C)*(0.20m)2 = -600 Nm2/C.The electric flux through the face in the -x axis is E*A = (-1500 N/C)*(0.20m)2 = -600 Nm2/C.The electric flux through the face in the -z axis is E*A = (-1500 N/C)*(0.20m)2 = -600 Nm2/C.


Adding all of these values together, we see that the electric flux through the cubical surface is zero,

as Gauss' Law predicts, since there is no net charge within the cube.

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Transfer Functions of Electrical Systems (Special assignmen 3) There are 4 possible types of transfer functions for electrical systems. 1) Voltage Gain H_V(s) Vi(s) Electrical System V.(s) 2) Transfer Admittance H_Y(s) Vi(s) + +1 Electrical System I.(s) 3) Current Gain H_I(s) L(S) (1) 4) Transfer Impedance H_Z(s) L(S) (1) Electrical System Electrical System V.(s) I.(s) R = 12.50, L= 4H, C = 0.01F R + Vi(t) L CT Vo(t) 1) Find Vc(s)/Vs(s). 2) Show the pole-zero map. 3) Find the response to Vs(t) = u(t)V. 4) Find the response to Vs(t) = o(t)V.

Answers

The transfer function is Vc(s)/Vs(s) = (R + 1/(sC)) / (sL + R + 1/(sC)), the pole-zero map includes poles at -R/L and zeros at -1/(sC), the response to Vs(t) = u(t)V can be calculated using inverse Laplace transform techniques and the response to Vs(t) = o(t)V can also be determined using inverse Laplace transform techniques.

To find Vc(s)/Vs(s), we need to consider the given electrical system with components R, L, and C. By applying Kirchhoff's laws and solving for the output voltage Vc(s) and input voltage Vs(s) in the Laplace domain, we can derive the transfer function as (R + 1/(sC)) / (sL + R + 1/(sC)).

The pole-zero map provides insights into the stability and behavior of the system. In this case, the transfer function has poles at -R/L, indicating a time constant associated with the system's dynamics. The transfer function also has zeros at -1/(sC), which affect the frequency response characteristics.

To find the response to Vs(t) = u(t)V, where u(t) represents the unit step function, we can apply inverse Laplace transform techniques to the transfer function Vc(s)/Vs(s). This will yield the time-domain response of the system to a step input.

Similarly, to find the response to Vs(t) = o(t)V, where o(t) represents the unit impulse function, we can use inverse Laplace transform techniques on the transfer function Vc(s)/Vs(s). This will give us the time-domain response of the system to an impulse input.

By calculating the inverse Laplace transforms of the transfer functions in cases 3) and 4), we can obtain the time-domain responses of the electrical system to the respective inputs.

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A sample of neon gas (Ne, molar mass M = 20.2 g/mol) at a temperature of 13.0∘C is put into a steel container of mass 47.2 g that’s at a temperature of −40.0∘C. The final temperature is −28.0∘C. (No heat is exchanged with the surroundings, and you can neglect any change in the volume of the container.) What is the mass of the sample of neon?

Answers

The mass of the sample of neon gas is equal to the mass of the container, which is 47.2 g.

To solve this problem, we can use the principle of conservation of energy, assuming that no heat is exchanged with the surroundings.

We'll use the equation:

Q_neon + Q_container = 0,

where Q_neon represents the heat gained or lost by the neon gas and Q_container represents the heat gained or lost by the container.

The heat gained or lost by a substance can be calculated using the equation:

Q = mcΔT,

where Q is the heat, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.

Let's calculate the heat gained or lost by the neon gas:

Q_neon = m_neon × c_neon × ΔT_neon,

where m_neon is the mass of the neon gas and c_neon is its specific heat capacity.

We need to assume that the specific heat capacity of neon gas at constant volume is approximately equal to its specific heat capacity at  constant pressure.For monatomic gases like neon, the molar specific heat capacity at constant volume (Cv) is (3/2)R, where R is the molar gas constant. The molar specific heat capacity at constant pressure (Cp) is (5/2)R.

Since we have the molar mass of neon, we can calculate the molar gas constant (R) as follows:

R = 8.314 J/(mol·K).

The mass of neon gas can be determined using its molar mass (M) and the number of moles (n):

m_neon = n × M.

The number of moles can be obtained from the ideal gas law:

PV = nRT,

where P is the pressure, V is the volume, T is the temperature, and R is the molar gas constant.

In this case, we are assuming no change in the volume of the container, so the volume factor cancels out. Therefore, we don't need to consider the volume in our calculations.

Now let's calculate the heat gained or lost by the container:

Q_container = m_container × c_container × ΔT_container,

where m_container is the mass of the container and c_container is its specific heat capacity.

Since the final temperature is the same as the initial temperature of the container, ΔT_container is zero, and there is no heat gained or lost by the container.

Returning to the conservation of energy equation:

Q_neon + Q_container = 0,

we have:

Q_neon + 0 = 0,

Q_neon = 0.

Since Q_neon is zero, it means that no heat is gained or lost by the neon gas. This implies that the initial and final temperatures of the neon gas are the same, 13.0°C.

Now, let's calculate the mass of the neon gas:

m_neon = n × M,

where n is the number of moles.

To find the number of moles, we can use the ideal gas law:

PV = nRT,

where P is the pressure and R is the molar gas constant.

Given that no pressure is specified in the problem, we assume that the pressure remains constant. Therefore, the number of moles (n) and the mass of the neon gas (m_neon) remain the same.

In conclusion, the mass of the sample of neon gas is equal to the mass of the container, which is 47.2 g.

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A sound wave has a speed of 339 m/s and frequency of 640 hz. What is the wavelength of this wave?


A. 0.5 meters

B. 0.42 meters

C. 0.79 meters

D. 1.22 meters

Answers

The wavelength of a sound wave has a speed of 339 m/s and frequency of 640 hz.is 0.79 m. The correct answer is C.

The formula for finding wavelength is:

wavelength = speed of sound / frequency

Given the speed of sound as 339 m/s and the frequency as 640 Hz, we can substitute these values in the formula to get:

wavelength = 339 / 640

wavelength = 0.528125 meters

However, we need to round off this answer to the nearest hundredth, which gives us:

wavelength = 0.79 meters

Therefore, the correct answer is C. 0.79 meters.

Sound waves are a type of mechanical wave that travel through a medium, such as air, water, or solids.

They are characterized by their frequency, wavelength, and amplitude. Frequency is the number of cycles of the wave that occur in one second, and it is measured in hertz (Hz). Wavelength is the distance between two consecutive points on the wave that are in phase, and it is measured in meters (m). Amplitude is the maximum displacement of the wave from its rest position, and it is measured in decibels (dB).

The speed of a sound wave depends on the properties of the medium through which it is traveling, such as its density and elasticity. In general, sound waves travel faster through solids and liquids than through gases, because the molecules in solids and liquids are closer together and can transmit the wave more efficiently.

Therefore, the correct answer is C. 0.79 meters.

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One of the goals of psychology is to predict future behavior or mental processes. Which of the following scenarios best illustrates this goal?
A.
The psychologist measures Michael’s heart rate and bodily functions to better describe his behavior.
B.
The psychologist helps Michael develop strategies to manage his anxiety levels so he can focus on the game.
C.
The psychologist tells Michael that his basketball performance will improve when his anxiety levels are moderated.
D.
After careful research, the psychologist explains that Michael’s intense feelings of anxiety are hindering his basketball performance.

Answers

The statement 'the psychologist tells Michael that his basketball performance will improve when his anxiety levels are moderated' best illustrates an objective of psychology (Option C).

Psychology is a discipline that studies human behavior through the mind.

The major objectives of psychology include describing, explaining, predicting, and modifying specific behaviors.

Anxiety is one of the main focuses in physiology and there are many psychological treatments aimed at modifying this particular behavior.

In conclusion, the statement 'the psychologist tells Michael that his basketball performance will improve when his anxiety levels are moderated' best illustrates an objective of psychology (Option C).

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Answer:

Explanation:

C

HELP
Match the term and the definition

Lesson 1.09
Question 5 options:

Cold Front

Stationary Front

Warm Front

Occluded Front
1.
When a cold air mass and a warm air mass meet but are at a standstill, the boundary is called
2.
If warm or more humid air presses forward and colder or drier air draws back, the boundary is called
3.
If colder or drier air presses forward and warmer or more humid air draws back, the boundary is called
4.
Sometimes a warm air mass can get caught between two cold fronts, which can force the warm air up into a wedge shape.

Answers

Answer:

Cold Front 3  //  Stationary Front 1  //  Warm Front 2  //  Occluded Front 4

Explanation:

It's simple.  Warm front means the warm air is pressing forward,  which is why it's a warm front.  Stationary Front, meaning they're at a standstill, also makes sense because stationary means not moving.  Then since your last option is Occluded Front, since the others already have an answer, you have no choice but to match 4 with it.  I took the quiz and got the answer right.  :D

A boeing 747 is cruising at a velocity of 250 m/s at a standard altitude of 13 km. what is its mach number?

Answers

Mach number ≈ 0.737

The Mach number is the ratio of flow velocity after a certain limit of the sound's speed. In simple words, it is the ratio of the speed of a body to the speed of sound in the surrounding medium.

To find the Mach number of the Boeing 747, we need to know the speed of sound at the given altitude. The speed of sound can be approximated using the equation:

speed of sound = 331.4 + 0.6 * altitude

Plugging in the altitude of 13 km, we have:

speed of sound = 331.4 + 0.6 * 13 = 331.4 + 7.8 = 339.2 m/s

Now, we can calculate the Mach number by dividing the velocity of the aircraft (250 m/s) by the speed of sound (339.2 m/s):

Mach number = velocity / speed of sound
Mach number = 250 / 339.2
Mach number ≈ 0.737

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1. The electromagnetic waves described in the reading are different in which two ways:
frequency and amplitude
B wavelength and frequency
wavelength and crests
D frequency and velocity
arting would require a stopwatch to measure?

Answers

Answer:

D is the answer

Explanation:

But do u know if im right test it out then surprise

The electromagnetic waves described in the reading are different in two ways, and that is Frequency and velocity. Hence, option D is correct.

What are electromagnetic waves?

A magnetic field and an electric field vibrate together to produce electromagnetic waves, often known as EM waves. In other terms, magnetic and electric fields that are oscillating make up electromagnetic waves (EM).

When a magnetic field and an electric field interact, electromagnetic waves are created. The term "electromagnetic waves" is used to describe them. An electromagnetic wave has an electric field and a magnetic field that are perpendicular to one another. They are likewise perpendicular to the EM wave's direction.

The wavelength and frequency of electromagnetic waves vary. Electromagnetic waves with longer wavelengths have lower frequencies, whereas those with shorter wavelengths have higher frequencies. Waves at higher frequencies carry more power. A wave's wavelength and frequency together determine its speed.

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Plz answer will give brainliest answer to whoever does

Plz answer will give brainliest answer to whoever does

Answers

Answer:A gas heater working

Explanation:because from the system of it it could be coal or just air being heated up it takes energy to make it hot! In other words convection

What is the thickness of the Lithosphere

Answers

Answer: about 100 km[kilometers] thick

Explanation:

Answer:

about 100 km thick

Explanation: I searched it up on google <3

The flat rotation curves of spiral galaxies tell us that they contain a lot of dark matter. do they tell us anything about where the dark matter is located within the galaxy?

Answers

Yes, they tell us that dark matter is spread throughout the galaxy, with most located at large distances from the galactic center.

While modified gravity theories exist, it is very difficult to build a modified gravity theory that is consistent with all the observations we have (ranging from the solar system to the cosmos as a whole) and not run afoul of the data. The dark matter hypothesis, in the meantime, though not without issues of its own, can nonetheless deal with galaxy rotation curves and also other challenges from cosmology.

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A ball bouncing eventually coming to a stop A. Open system B. Closed system C. Isolated system

Answers

Given:

A ball bouncing eventually comes to stop.

To find:

What kind of a system is this?

Explanation:

An open system is a system where the free exchange of matter and energy with the surroundings takes place.

A closed system is where only the energy of the system is shared with the surrounding. In these kinds of systems, the exchange of matter does not take place.

An isolated system is where neither matter nor energy is exchanged between the system and the surrounding.

When a ball is bouncing, it gradually loses its kinetic energy to the surroundings and eventually comes to stop. But the mass of the ball remains the same. Thus this is a closed system.

Final answer:

The given system is a closed system.

Therefore the correct answer is option B.

A boat travels at 15 m/s in a direction 45° east of north for an hour. The boat then turns and travels at 18 m/s in a direction 5° north of east for an hour. What is the magnitude of the boat’s resultant velocity? Round your answer to the nearest whole number. m/s What is the direction of the boat’s resultant velocity? Round your answer to the nearest whole degree. ° north of east

Answers

The first blank is 31m/s

The second blank is 23°

The boat’s resultant velocity is v = 31.0 m/s, and the direction of the boat’s resultant velocity is 23.2 degrees north of east.

What is the distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We'll use east as the positive x-direction and north as the positive y-direction. Then, both velocities must be resolved into their corresponding components:

v(x1) = 15 sin45 = 10.6 m/s

v(y1) = 15 cos45 = 10.6 m/s

v(x2) = 18 cos5 = 17.9 m/s

v(y2) = 18 sin5 = 1.6 m/s

The components of the resultant velocity:

v(x) = v(x1) + v(x2) = 10.6 + 17.9 = 28.5 m/s

v(y) = v(y1) + v(y2) = 10.6 + 1.6 = 12.2 m/s

The magnitude of the velocity:

v = √((28.5)² + (12.2)²

v = 31.0 m/s

The direction:

Φ = tan⁻¹(12.2/28.5)

Φ = 23.2 degrees north of east.

Thus, the boat’s resultant velocity is v = 31.0 m/s, and the direction of the boat’s resultant velocity is 23.2 degrees north of east.

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if telescope mirrors could be made of odd sizes, the one with the most light-gathering power would be

Answers

The light-gathering power of a telescope mirror is determined by its surface area. The larger the surface area of the mirror, the more light it can gather from distant objects in space.

What is a telescope?

A telescope is an optical instrument used to observe distant objects in space or on the Earth's surface.

Here,
Assuming that the mirrors have the same shape (for example, they are both parabolic), the mirror with the most light-gathering power would be the one with the largest surface area. This means that if telescope mirrors could be made of odd sizes, the one with the most light-gathering power would be the one with the largest diameter.

A larger diameter mirror would have a larger surface area and therefore be able to collect more light than a smaller mirror. However, the size of the mirror would also affect other aspects of the telescope's performance, such as its resolution and ability to produce clear images. So, the size of the mirror needs to be balanced against other factors to optimize the performance of the telescope.

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Factor the expression 27x-18y

Answers

Answer:

9(3x-2y)

Explanation:

27x-18y, the common factor here is 9

9(3x-2y)

How long does it take to run 2000 meters if you run 2 m/s

Answers

Answer:

1000 seconds.

Explanation:

(a) A projectile's launch speed is five times its speed at maximum height. Find the launch angle 00. (3 points)(b) A boat crossing a wide river moves with a speed of 10.0 km/h relative to water. The water in the river has a uniform speed of 5.0 km/h due east relative to the ground. If the boat heads due north, determine the magnitude the boat velocity relative to the ground. (2 points)

Answers

boat velocity relative to the ground is = 11.18 Km/h.

Full solution in pic.

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(a) A projectile's launch speed is five times its speed at maximum height. Find the launch angle 00.

When a radio telescope observes a region of space between two stars, it detects electromagnetic radiation that has a wavelength of 0.21 m. This radiation was emitted by hydrogen atoms in the gas and dust located in that region.

Required:
What is the frequency of this radiation?

Answers

Answer:

14.3 x 10^8Hz

Explanation:

Using

Frequency= speed of light /wavelength

Then substituting

3*10^8m/s / 0.21m

= 14.3 x10^8 Hz

Tim walked 2.3 miles from home to his school in 30 minutes. Calculate his average speed in m/s

Answers

The average speed of the person walking with up to a distance of 2.3 miles within 30 minutes is 4.6 miles/hr. This is equivalent to 2.05 m/s.

What is average speed ?

Average speed of an object is the measure of the distance covered per unit time. It is the ratio of distance to the time of travel. The rate of speed is called velocity.

Greater the distance covered within smaller time, then greater is  the speed of the object.

Given that,

distance = 2.3 miles.

time = 30 minutes = 0.5 hours

then speed = distance/time

v = 2.3 miles /0.5 hours = 4.6 mph.

1 miles/hour = 0.447 m/s

then 4.6 mph = 4.6 mph × 0.447 m/s/ 1 mph = 2.05 m/s.

Therefore, the average speed of Mr. Tim is 2.05 m/s.

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if the mass of the earth and all objects on it were suddenly doubled, but the size remained the same, the acceleration due to gravity at the surface would become if the mass of the earth and all objects on it were suddenly doubled, but the size remained the same, the acceleration due to gravity at the surface would become 4 times what it now is. 1/2 of what it now is. 1/4 of what it now is. 2 times what it now is. the same as it now is.

Answers

Answer:

Explanation:Physics is the branch of science that deals with the structure of matter and how the fundamental constituents of the universe interact. It studies objects ranging from the very small using quantum mechanics to the entire universe using general relativity.

which moon phases are associated with the highest tides

Answers

As stated in the preceding statement The highest tides occur during new moon nor low moon phases.

How will the moon end?

The Moon will finish moving away from Earth at present rate of separation in around 15 billion years, according to calculations of the development of the Earth/Moon system. In around 6 to 700 million years, our Sun is predicted to enter his Red Giant phase.

Were we able to endure without the Moon?

The stability of the climate is maintained by the moon's gravitational pull, which reduces Earth's tremor. A blessing for life, that. Without it, the climate may change dramatically over millennia, with certain regions being extremely hot before going through protracted ice ages.

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Which of the following is true about the input and output forces of a screw that is inserted into a block of wood? (Select all that apply) A)The input force on the screw is greater than the output force. B)The input force is in the same direction as the output force. C)The input force is in a different direction than the output force. D)The input force is the same as the output force. E)The input force on the screw is less than the output force.​

Answers

The true statement about the input and output forces include the following:

The input force on the screw is greater than the output force.The input force is in a different direction than the output force.

What is Force?

This is defined as an influence which can cause an object with mass to change its velocity.

For a screw to be inserted into a block of wood, the input force on the screw has to be greater than the output force as a result of both forces being in opposite direction to one another.

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misconceptions are very robust. thinking she was dispelling a common misconception that forces must continue to be applied if an object is to keep moving, ms. rambu put a disk on an air-hockey table (frictionless) and gave it a little push to get it going, then let go. the disk continue to move across the table until it hit another edge. which additional misconception might ms. rambu need to address after this demonstration?

Answers

Ms. Rambu's demonstration successfully addressed the misconception that continuous force is needed to keep an object moving.

However, an additional misconception she might need to address is the belief that objects always come to a stop due to a natural force, when in reality, objects stop due to external forces such as friction. In the case of the air-hockey table, the disk continued to move because the surface was frictionless. This demonstration can help students understand the concept of inertia and the role of external forces in an object's motion.

There must be four examples of an effect to prove a functional link.

Functional relationship refers to a complimentary and interactive relationship between land uses or improvements, such as at a minimum a great and high-quality interchange of human interaction, goods, sources, businesses, services, employment, or workers between land uses or advancements.

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a 4000 kg truck travelling at 30 m/s rear-ends a 2000 kg car moving at 15 m/s. during the collision, the two vehicles become stuck together. with what speed does the two-car pair move after the collision? a. 37.5 m/s b. 30.0 m/s c. 0.0 m/s d. 25.0 m/s

Answers

b) the two-car pair moves with a speed of 30.0 m/s after the collision.

To determine the speed of the two-car pair after the collision, we can apply the principle of conservation of momentum. According to this principle, the total momentum before the collision should be equal to the total momentum after the collision, assuming no external forces are acting on the system.

The initial momentum of the truck-car system is given by the sum of the individual momenta of each vehicle. The momentum is calculated by multiplying the mass of an object by its velocity. Therefore, the initial momentum of the system is (4000 kg * 30 m/s) + (2000 kg * 15 m/s) = 180,000 kg·m/s.

After the collision, the two vehicles become stuck together, forming a combined mass of 4000 kg + 2000 kg = 6000 kg. Let's denote the final velocity of the combined system as v. The momentum of the combined system after the collision is 6000 kg * v.

According to the conservation of momentum, the initial momentum and the final momentum should be equal. Therefore, we have:

180,000 kg·m/s = 6000 kg * v

Solving for v, we find v = 180,000 kg·m/s / 6000 kg = 30 m/s.

Hence, the two-car pair moves at a speed of 30.0 m/s after the collision.

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Convert: 8 mm: ____________ cm

Answers

-1^10

centi=10 mm and mm=1/10=10^-1 cm

The open-loop transfer function of a unity feedback control system is given by G(s) = k / (s+2)(s+4)(s2+6s+25).
By applying Routh-Hurwitz criterion, determine (i) the range of k for which the closed-loop system will be stable and (ii) the values of k which will cause sustained oscillations in the closed-loop system. What are the corresponding oscillation frequencies?

Answers

The stability range for the parameter k is from 0 to infinity. Sustained oscillations happen when k ranges from 0 to 32, and the oscillation frequencies are ±4.

How to determine the stability of a control system

The Routh-Hurwitz criterion is a method used to determine the stability of a control system by analyzing the coefficients of the characteristic equation.

For a unity feedback control system with the given open-loop transfer function G(s), the characteristic equation is obtained by setting the denominator of G(s) equal to zero:

(s+2)(s+4)(s²+6s+25) = 0

By applying the Routh-Hurwitz criterion, we can determine the stability conditions:

(i) For the closed-loop system to be stable, all the coefficients in the first column of the Routh array must be positive. In this case, since the denominator has all positive coefficients, the range of k for stability is 0 < k < ∞.

(ii) To find the values of k that cause sustained oscillations, we need to identify when the first column of the Routh array contains a sign change. This occurs when the value of k causes the roots of the characteristic equation to have purely imaginary parts.

By solving the equation s²+6s+25 = 0, we find two complex conjugate roots: -3±4i. These roots correspond to sustained oscillations. By comparing the coefficients of the characteristic equation, we can determine that the range of k for sustained oscillations is 0 < k < 32.

The corresponding oscillation frequencies are given by the imaginary parts of the roots, which in this case are ±4.

Therefore, the range of k for stability is 0 < k < ∞, and sustained oscillations occur when 0 < k < 32 with corresponding oscillation frequencies of ±4.

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Can an automobile with a velocity toward the north simultaneously have an acceleration toward the south? Explain.

Answers

Yes. Velocity and acceleration need not be in the same direction. A car moving north that slows down, for example, accelerates toward the south.

Which statement best describes the long-term effects of using renewable resources?
A) There is an unlimited supply of fresh water on the Earth.
B) Melting glacier ice will supple more fresh water.
C) As populations decrease, renewable resources will also decrease.
D) As demand for renewable energy increase, fossil fuel use will decrease.

Answers

Answer:

The answer is D) As demand for renewable energy increase, fossil fuel use will decrease.

Explanation:

I just took the exam

The statement that best describes the long-term effects of using renewable resources is as follows:

As demand for renewable energy increases, fossil fuel use will decrease.

Thus, the correct option for this question is D.

What is meant by Renewable resources?

Renewable resources may be defined as those resources that cannot be exhausted and are capable in order to furnish a continuous source of clean energy. Examples include hydropower, geothermal power, wind energy, solar energy, etc.

The dependency on renewable resources reduces the demand for non-renewable resources like the combustion of fossil fuels that emit highly toxic constituents in the environment which are extremely harmful to living entities.

Therefore, as demand for renewable energy increases, fossil fuel use will decrease is the statement that best describes the long-term effects of using renewable resources. Thus, the correct option for this question is D.

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A car drives 2 blocks north, then 3 blocks east, and finally 2 blocks south. What is the
displacement of the car?
A) 15 km
B) 3 km west
C) 3 km east
D) 7 km north

Answers

3 km Northeast a^2 +b^2 = c^2 let a=(2-2) ,b=3 so C= 3
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