a series lr circuit consists of a 2.0-h inductor with negligible internal resistance, a 100-ohm resistor, an open switch, and a 9.0-v ideal power source. after the switch is closed, what is the maximum power delivered by the power supply? group of answer choices 81 w 0.40 w 8.1 w 0.81 w 0.090 w

Answers

Answer 1

The maximum power delivered by the power supply is 0.81W.

What is lr circuit  

An RL Series Circuit is one that has an inductance L coil and a resistance R connected in series with each other. when the current element I flowing in the circuit is crossed by a supply voltage (V).

A series configuration of an inductor and a resistor is known as an LR circuit. A voltage source, such as a battery, and a switch are connected to this circuit. Here, the wire that makes up an inductor's coil has a DC resistance, or R.

Maximum power is delivered when current in circuit is maximum.

Maximum current is obtained after long time when inductor is shorted.

Maximum current is I = 9V/100

Maximum powder = VI = (9v)(9v)/100

Maximum power delivered= 0.81W.

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Related Questions

The diagram below represents a wave.
What is the speed of the wave if its wavelength is 3.0 m?

Answers

The speed of the wave is determined as 18 m/s.

option D is the correct answer.

What is the speed of the wave?

The speed of the wave is the rate of change of wave's displacement with time.

The speed of the wave is calculated by applying the formula relating speed, wavelength and frequency of the wave as shown below.

v = fλ

where;

v is the speed of the wavef is the frequency of the waveλ is the wavelength of the wave

The frequency of the wave is calculated as follows;

f = 1 / T

where;

T is the period of the wave

The period of a wave is the time taken for the wave to complete one cycle.

In the picture given, 3 cycles of the wave = 0.5 s

1 cycle of the wave = ?

= 0.5 s / 3

= 0.16667 s

f = 1 / T

f = 1 / 0.16667

f = 6 Hz

The speed of the wave is calculated as follows;

v = fλ

v = 6 Hz  x  3 m

v = 18 m/s

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A piece of stone is projected vertically upwards with a speed of 25ms^-1. Determine it's speed at it's point reached​

Answers

Assuming a piece of stone is projected vertically upwards with a speed of 25ms^-1, its speed at its highest point reached is equal to zero (0) m/s.

What is projectile motion?

In Science, projectile motion can be defined as a form of motion which is experienced by a physical object (body) that is projected near the surface of planet Earth, while moving along a parabolic path, and under the influence of a gravitational force (gravity) only.

Generally speaking, when this stone is thrown straight up or projected vertically upwards at a certain speed, it begins to slow down as a result of the effect of downward gravitational acceleration.

Consequently, the stone reaches a maximum height (highest point) where it cannot go higher anymore and then starts to fall down (descend) due to gravity.

In this context, we can reasonably infer and logically deduce that the speed of any physical object would be equal to zero (0) meter per seconds when it reaches a maximum height (highest point).

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Complete Question:

A piece of stone is projected vertically upwards with a speed of 25 ms^-1. Determine its speed at its highest point reached. (g = 10 ms-2).

an increase in sound level from 30 db to 50 db requires an increase in sound intensity by a factor of:

Answers

Loudness increases by 10 dB for every dB increase in sound intensity. A 40-decibel light rainstorm is 100 times louder than a whisper, whereas a 30-decibel "silent" room is 10 times louder than a 20-decibel whisper. Loud noises can be harmful.

50 dB is how much louder than 20 dB?

A 10 dB rise results in a two-fold increase in volume. The loudness will therefore rise by nearly 8 times with a 30 dB increase (from 20 dB to 50 dB).

Decibels are measured on a logarithmic scale using a power of ten, which might be perplexing. For those of you without advanced math degrees, this simply implies that the sound intensity doubles for every 10 decibel rise.

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Two forces of 5N and 12N act at a point The two force first act in opposite directions

a, Make a sketch showing the direction of the forces.

b, calculate the resultant of the forces and mark its direction on your sketch.

Answers

The resultant of the force that acts in opposite directions is 7 N.

What is the resultant force?

We know that the resultant force is the force that has the same effect in magnitude and direction as two or more forces that is acting together. We have to note that the force that is actinmg on an object is a vector quantity. The implication of this is that the magnitude and the direction of the forces that are acting on the body is very important.

By the use of the law of vectors we can be able to write in the case of the question that we have here, we can see that the forces are acting in the opposite directions. The implication of this is that we would have to subtract the forces so as obtain the resultant force.

We have to note that when we have opposite forces, one is said to be positive and the other negative and the resultant force can be found by subtraction. As such the resultant force can be obtained from;

Let the +B force be 12 N

Let the -B force be 5N

12 N - 5 N = 7 N

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a dog lifts a 0.75 kg bone straight up through a distance of 0.11 m. How much work was done by the dog ?

Answers

The work done by the dog is 0.81J.

What is work done?

Work done is a measure of energy expended in moving an object; most commonly calculated by multiplying the force by the distance.

It is said that no work is done if the object does not move.

The work done on an object is the amount of energy transferred to an object through work.

According to this question, a dog lifts a 0.75 kg bone straight up through a distance of 0.11 m. The force applied to break the bone must be calculated first as follows:

Force = mass × acceleration

Force = 0.75kg × 9.8m/s²

Force = 7.35N

Work done = 7.35N × 0.11m = 0.81J

Therefore, 0.81J is the work done by the dog.

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a 40cm diameter wheel accelerates uniformly from 240 rpm to 360 rpm in 6.5 seconds. how far will a point on the edge of the wheel have traveled in this time

Answers

Answer:

S = V1 t + 1/2 a t^2        distance traveled for linear acceleration

θ = ω1 t + 1/2 α t^2       equivalent angle for rotational acceleration

ω1 = 240 / min * 2 π * 240 / (60 s/min) = 8 π / s

ω2 = 360 rpm = 12 π / s

α = 4 π/ 6.5 s^2  = .62 π / s^2    angular acceleration

θ = 8 π / s  6.5 s + .62 π / 2 * 6.5^2

θ = 52 π + 13 π = 65 π = 65 * π / (2 π / rev) = 32.5 rev

1 rev = 2 * π * R = 2 * π * .4 m = 2.51 m / rev

S = 32.5 rev * 2.5 m/rev =  81 m

a car accelerates uniformly from rest to 25 m/s over a distance of 30 meters. what is the acceleration of the car?

Answers

Answer:

a=25/24 m/s^2

Explanation:

I’m going to assume you mean the final velocity is 25m/s.

v^2=u^2+2as

625=0+2a300

a=25/24 m/s^2 or 1.0416^_ (period 1) ^m

2. An energetic golden hamster (Mesocricetus auratus) is running at a
constant speed on its frictionless exercise wheel (25.0 cm diameter,
weighing 25.0 g). If the hamster is considered part of the exercise wheel
system (his efforts are internal to the system), how much work is being
done on the hamster-wheel system?

Answers

The work done by the hamster-wheel system is 0.0625 J.

What is work done in a system or by a system?

The work done by a system or on a system is a measure of the energy input used to do useful work such as moving an object a given distance when force is applied.

Work done is defined as the product of the force applied and the distance moved by the force applied in the direction of the applied force.

Mathematically;

work done = force * distance

The unit of the applied force is Newton; the unit of the distance moved is in meters and the unit of measurement of work done is Joules.

The work done by the hamster-wheel system is given below:

Force of the hamster = mass * acceleration due to gravity

Force on hamster = 25/ 1000 * 10

Force = 0.25 N

Distance = 25.0 cm or 0.25 m

Work done = 0.25 * 0.25

Work done = 0.0625 J

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what should the rotation curve for this galaxy look like for radii larger than 5 kpc, do you think? after 5kpc...

Answers

The rotation curve for this galaxy look like for raddi larger than 5kpc is angular velocity.

What is angular velocity?

Angular velocity is the speed at which the angle between 2 bodies changed whenever an object rotated or revolvers around an axis. This displacements is depicted in the images by the angle firmed by a line on one body andar a line on the other.

Angular velocity can be defined as the Speed at which an item rotates or revolvers around an axis. The Greeks letter Omega (occasionally ) stands for angular velocity. The SI unit for angular velocity is radians per second because it is the expressed as an angle per unit of times.

Orbital speed increase with radius beacuse it is directly proportional to radius  

Since V=wr

So on increasing with radius orbital speed also increases.

So here w is angular velocity.

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one cannot peer all the way back and directly observe the big bang because the universe's density was so low. true false

Answers

True. The Big Bang Theory is the current scientific explanation for the origin and evolution of the universe. According to this theory, the universe was initially in a state of extremely high density and temperature, and it has been expanding and cooling since its inception.

One reason we cannot directly observe the Big Bang is that the universe's density was so low at that time that there were no solid particles, such as atoms or molecules, that could have formed into stars or galaxies. Instead, the universe was filled with a hot, ionized plasma that was too diffuse to be observed by telescopes. Another reason is that the expansion of the universe has caused the light and other electromagnetic radiation that was emitted during the Big Bang to become redshifted, or stretched out in wavelength, over time. This means that the light from the earliest moments of the universe has shifted into the microwave and radio frequency ranges, which are not visible to the human eye. Therefore, while we can infer some details about the conditions of the early universe based on observations of the cosmic microwave background radiation and the large-scale structure of the universe, we cannot directly observe the Big Bang itself.

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it’s actually 7th grade science no physics pls answer it’s a lot of points

What do the historical communication technologies in these photos have in common?
(pictures are shown below)

Answers

All the tools of communication such as the drum, telegraph et cetra were used for emergency communication.

What is communication?

We know that communication has to do with the art of sending and receiving information between two people who may or may not be at the same place. We know that the dissemination of information is a very important aspect of life and we have always tried to invent means of communication especially at times when we have an emergency situation that needs a kind of an immediate remedy.

We can see that all the kinds of communication gadgets that have been show here are all from a period that is far behind the kind of civilization that we have to day and the kind of thge communication gadgets that are quite available to the people that are around today.

However, all the tools shown could be used to send information in times of emergency.

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100 POINTS AND BRAINLIEST IF YOU CAN ANSWER
On a position vs. time graph for an object, a horizontal line segment indicates that the object is

A. at its starting location.

B. not moving and is at rest.

C. located at ground level.

D. moving at a constant rate.

Answers

Answer:

The answer is D. moving at a constant rate.
Explanation:
I've had this question before.

In the position-time graph, the horizontal line segment indicates that the object is not moving and is at rest. Therefore, option (B) is correct.

What is the Position Time Graph?

The position vs time graph on which the instantaneous position of a particle is plotted on the y-axis and the time is plotted on the x-axis is called the Position-Time graph.

In the position vs time graph always take an independent variable on the x-axis and dependent variables must be plotted on the y-axis. Through mathematical function, the dependent variable will be dependent on the independent variable.

In the case of the Kinematic equation of uniform acceleration, the position can be defined as a dependent variable and time will be the fundamental independent variable.

The case of the horizontal line in the position vs. time graph indicates that the position of the object is not changing with time so it is at rest.

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Mr. Seifert needs to push a cardboard box down the hallway for Ms. Wang. The box has a mass of 40 kg and he is pushing it with an acceleration of 2 m/s/s. Because the cardboard does not slide easily, there is a friction force of 25 Newtons acting on the box to the LEFT. How much force is Mr. Seifert applying to the box to move it forward to the RIGHT?

Answers

Answer:

105N

Explanation:

force = mass x acceleration

force without the 25N = 40 x 2

= 80N

On top of this, he has to counteract the 25N so the actual force is 80N + 25N which is 105N

John walks to the pizza place for lunch. He walks 2 km north, then 1 km east. To get home, he walks 2 km west and 1 km south. What distance did he travel? What is his displacement?

Answers

Answer:

The total distance covered is 3 km and the displacement is 2.24 km.

Explanation:

For the total distance covered by Anthony, we just add all of the distances.

1 km (going east) + 1 km (going east again) + 1 km (going south) = 3 km

Hence, the his total distance covered when he went to the pizza place is 3 km.

Solving for the displacement is a different matter. We cannot just add all of the distances. From analysis of the problem, Anthony traveled and formed a right triangle. He traveled 1 km east twice, making it 2 km east in total, then he traveled 1 km south.

When dealing with a right triangle with 2 sides given (for this problem the two sides are the 2 km east and the 1 km south), we use the Pythagorean Theorem.

Solution:

c² = a² + b²  (Pythagorean Theorem)

c will be the longest side of the right triangle

a and b will be the other sides of the right triangle

c = √ (a² + b²)

c = √ (2² km + 1² km)

c = √5 km

c = 2.2361 km ≈ 2.24 km

Therefore, the displacement of Anthony is 2.24 km.

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an object in shm oscillates with a period of 4.0 s and an amplitude of 16 cm. part a how long does the object take to move from x

Answers

The object takes to move is 0.409s.

Calculaiton:

time period T = 4 s

Angular speed ω = 2π/T= 1.57 rad/s

SHM equation

x = A sin ωt

6 = 10 sin(1.57t)

sin(1.57t) = 0.6

1.57 t = 0.6435

t= 0.409s.

The amplitude of a periodic variable is a measure of its change over one period. The amplitude of an aperiodic signal is its magnitude relative to a reference value. Amplitude has various definitions, all of which are functions of the magnitude of the difference between extreme values ​​of a variable. It refers to the maximum displacement from equilibrium exhibited by a body in periodic motion.

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when you looked at solar activity on the heliophysics event registry website, on which date did you find activity on the sun?

Answers

You did look at solar activity on the heliophysics event registry website, and we found activity on the sun on the specified day.

What three sorts of solar occurrences are there?

Any natural occurrence in the upper atmosphere of the sun is referred to as a solar phenomenon. Solar flares, prominences and filaments, and coronal mass ejections are three different categories of solar phenomena.

How can I follow the cycle of solar activity the best?

The simplest way we can investigate how solar activity changes over time is to survey sunspots, which is also how we track the solar cycle. Sunspots are associated with the Sun's natural 11-year cycle, during which the planet's surface changes from calm to turbulent.

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I NEED HELP ASAP PLSS

Answers

Answer:

C.) The United States would become less dependent on energies that emit greenhouse gases.

Explanation:

If nuclear energy increased, it would occupy a larger piece of the pie chart.  The prompt states that the usage of non-fossil fuel-based forms of energy would remain constant.  This condition means that nuclear energy would decrease the percentage of fossil fuel-based energy used.  Energy production through the use of fossil fuels necessarily produces greenhouse gases such as CO2.  An increase in nuclear energy would mean a corresponding decrease in dependence on greenhouse gas-producing fossil fuels.

.An object has a mass of 10 kg and an acceleration of 20 m/s2. What is the force on the object?

Answers

The force acting on the object is 200 Newton.

What is force?

The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

Given that mass of the object: m = 10 kg.

acceleration of the object = 20 m/s^2.

Hence, according to Newton's 2nd law of motion:

Force = mass × acceleration

= 10 × 20 Newton

= 200 Newton.

Hence, the force on the object is 200 Newton.

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when the distance between two masses doubles, the strength of the gravitational force between them ―

Answers

When the distance between two masses doubles, the strength of the gravitational force between them is decreased by a factor of 4.

Gravitational Force:

Any two mass-containing objects are attracted to one another by gravitational force. Because it consistently attempts to pull masses together rather than pushing them apart, the gravitational force is known as attractive. In reality, everything in the cosmos is tugging on everything else, including you! Newton's Universal Law of Gravitation is what it is known. Admittedly, you aren't pushing on those other objects all that much because you don't have a very large mass. Additionally, items that are very far apart from one another do not clearly tug on one another. However, we can calculate the force because it exists.

It is given by,

                        [tex]F=\frac{GMm}{r^{2} }[/tex]

We can clearly evaluate from the above formula that

                       [tex]F[/tex]   ∝   [tex]\frac{1}{r^{2} }[/tex]

So,

   When the distance between two masses doubles, the strength of the gravitational force between them is decreased by a factor of 4.

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7. What is the weight of a ball with a mass of 0.77 kg? (hint: how fast is gravity?)

Answers

Answer:

While on the earth, any object with a mass of 0.77 kg weighs 7.546 newtons (1.698 pounds).

On the moon, the same 0.77-kg object would weigh 1.232 newtons (0.277 pound)

Explanation:

what force must be exerted on the master cylinder of a hydraulic lift to support the weight of a 2500 kg car (a big car) resting on the slave cylinder? the master cylinder has a 1.93 cm diameter, while the slave's is 24.9 cm. 1900 n 150 n 15 n 4.1e 06 n 74 n

Answers

The force that must be exerted on the master cylinder of the hydraulic lift to support the weight of car is  147.2 N .

The Pascal's Law states that the relation between the pressure , force and area is given as :

Pressure = Force/Area ;

given that the diameter of the master cylinder is = 1.93 cm ;

so radius of master cylinder = 1.93/2 = 0.965 cm = 0.00965 m ;

the diameter of slave cylinder is = 24.9 cm ;

the radius of the slave cylinder = 24.9/2 = 12.45 m = 0.1245 m ;

Area of slave cylinder (A₁)= π(0.1245)² = 0.0486 m²

Area of the master cylinder (A₂) =  π(0.00965)² = 0.000292 m² ;

given mass of the car = 2500 Kg ,

the force exerted will be : F = m*a

F₁ = 2500*9.8 = 24500 N ;

F₁/A₁ = F₂/A₂

So , 24500/0.0486 = F₂/0.000292

F₂ = (24500/0.0486)×0.000292

F₂ = 147.2 N

Therefore , the force exerted on the master cylinder is 147.2 N  .

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What will happen to the pitch when a car with a blowing horn is approaching, according to the doppler effect?

Answers

Answer: The sound will increase in pitch.

Explanation:

According to the Doppler Effect, sounds will increase in pitch as they are nearing the listener, and then decrease in pitch as the sound moves further away. This is because when sound waves travel a shorter distance, the waves are more compact (higher frequency), producing a higher pitch. The further a listener is from the sound, the lower the pitch because the sound waves are more spread apart (lower frequency).

a hockey puck is hit on a frozen lake and starts moving with a speed of 13.20 m/s. exactly 5.6 s later, its speed is 6.60 m/s. what is the puck's average acceleration?

Answers

-1.17 is the average acceleration when a hockey puck is hit on a frozen lake and starts moving with a speed of 13.20 m/s. Perfectly,5.6 s later, its speed is 6.60 m/s.

What is an average acceleration?The rate of change in velocity, or the change in velocity per unit time, is known as average acceleration. The square of the distance over time is used to measure acceleration. Hence, the unit of acceleration is known to be as m/[tex]s^{2}[/tex]. Average is read as a symbol with a bar over it, so a-bar represents average acceleration.

Solution:

Given:

Initial sped =13.20m/sFinal speed=6.60m/stime taken=5.6s

Now, to find the average acceleration we use the following formula;

Acceleration, [tex]a_{avg}[/tex] =[tex]\frac{v^{final}-v^{initial} }{time}[/tex]

⇒[tex]a_{avg}[/tex]=6.60-13.20/5.6 = -1.17m/[tex]s^{2}[/tex]

Hence, -1.17 is the average acceleration when a hockey puck is hit on a frozen lake and starts moving with a speed of 13.20 m/s. Perfectly, 5.6 s later, its speed is 6.60 m/s.

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calculate the height of the coulomb barrier for the head-on collision of two deuterons. take the effective radius of a deuteron to be 2.1 fm.

Answers

The nuclear force between two charged particles is attractive, but Coulomb repulsion prevents two charged particles from getting close enough to interact. (K= 170 keV.)

How to fix it?

We consider the value of the initial kinetic energy K that each deuteron must possess in order for them to come to rest when their surfaces meet to be the height of the Coulomb barrier.

if r is a deuteron's radius, then by the law of conservation of energy, we get,

2K=1/4πϵo. e²/2r

putting values, we get

K= 1/4πϵo. e²/4r=9x10^9x1.6x10^-19/4x2.1x10^-15=2.75x10^-14 J = 170 keV.

How can the height of a potential barrier be determined?

J is the potential energy. Divide it by the electron charge, or 1.6 x 1019C, to convert it to eV. Consequently, the 360keV potential barrier height for a head-on collision of two deuterons. In this work,

What is the calculation for height?

5 feet, 6 inches, or 66 inches, is the height of a human. 2.54 centimeters make up one inch (cm). Therefore, to convert your height from inches to centimeters, just multiply it by 2.54. The metric equivalent of a person who is 5 feet, 6 inches tall in this instance is 167.64 cm (66 x 2.54).

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5. if the star sirius emits 23 times more energy than the sun, why does the sun appear brighter in the sky? include the terms luminosity and apparent brightness in your response.

Answers

The star Sirius is indeed brighter but our Sun appears to be brighter because it is closer to us.

The intrinsic luminosity of Sirius is exactly 25.4 times more than the sun but if we compare the distances of these stars, Sirius is 8.6 light years away from us and the Sun is just 8 light minutes away from us. This marks the obvious reason why our Sun appears more bright.

Even mathematically, it can be justified as the apparent brightness of any luminous object depends on the inverse square of the distance of that luminous object. Therefore the sun's light energy dominates our sky and we can't see any traces of Sirius from the earth.

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if the sound wave lasts 4 seconds, how much distance did it travel? (please help me)

Answers

Answer:

A wave is a disturbance that moves along a medium from one end to the other. If one watches an ocean wave moving along the medium (the ocean water), one can observe that the crest of the wave is moving from one location to another over a given interval of time. The crest is observed to cover distance. The speed of an object refers to how fast an object is moving and is usually expressed as the distance traveled per time of travel. In the case of a wave, the speed is the distance traveled by a given point on the wave (such as a crest) in a given interval of time. In equation form,If the crest of an ocean wave moves a distance of 20 meters in 10 seconds, then the speed of the ocean wave is 2.0 m/s. On the other hand, if the crest of an ocean wave moves a distance of 25 meters in 10 seconds (the same amount of time), then the speed of this ocean wave is 2.5 m/s. The faster wave travels a greater distance in the same amount of time.

Explanation:

Answer:170

Explanation: 0.50

can also be written as

1

2

.

0.50

seconds is half of a second.

if the wave travels

340

m

every second, it will travel half of that distance in

0.50

seconds.

340

1

2

=

340

2

=

170

in half of a second, the wave will have travelled

170

metres away from its source.

two planets are identical, except planet x has an atmosphere of mostly nitrogen and planet y has an atmosphere of mostly carbon dioxide. what can you determine about the planets

Answers

Two planets are identical, except planet x has an atmosphere of mostly nitrogen and planet y has an atmosphere of mostly carbon dioxide therefore what we can determine about the planets is that x is Earth while y is Venus.

What is Atmosphere?

This is referred to as the envelope of gases surrounding the earth or another planet and it makes life possible by providing different organisms with air to breathe

In the atmosphere of the planet Venus there is a high concentration of carbon dioxide as it is made up of  it is made of 96.5% of CO₂ and a 3% of nitrogen.

On the other hand in the atmosphere of the planet Earth, there is a high concentration of nitrogen which is about 78% and is therefore the reason why they were chosen as the correct choices.

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Design a safety restraint or device for a motorcycle 4-wheeler or go-kart. Design may be drawn or describe. Be sure to explain how your devices protects the driver against collision forces.
this is very urgent, please help!!

Answers

Answer:

Explanation:

One possible safety restraint or device for a motorcycle 4-wheeler or go-kart could be a roll cage. A roll cage is a structure that surrounds the driver and is designed to protect them in the event of a rollover or collision.

The roll cage would be made of strong, lightweight material such as steel or aluminum tubing. It would be attached to the frame of the 4-wheeler or go-kart and would extend upward to surround the driver's head and shoulders. The roll cage would also have additional bracing to provide additional support and protection in the event of a collision.

In the event of a rollover or collision, the roll cage would help to distribute the forces of the impact evenly around the driver, protecting them from the full force of the collision. The additional bracing would also help to prevent the roll cage from collapsing or deforming, providing additional protection for the driver.

In addition to the roll cage, the driver could also wear a safety harness or seat belt to help keep them securely attached to the vehicle and prevent them from being thrown out in the event of a collision. This would provide additional protection against the forces of a collision.

The speed of light in a certain glass is 1.91×10^8 meter per second. What is the refractive index of the glass?

Answers

Answer: 1.57

Explanation:

absolute refractive index = [tex]\frac{speed of light in air}{speed of light in a medium}[/tex]

[tex]= > \frac{3 * 10^{8} }{1.91* 10^{8} } \\= > 1.57[/tex]

1. a 1.4 x 103 kg car is westbound at a velocity of 37.0 km/h when it collides with a 2.0 x 103 kg truck northbound at a velocity of 35 km/h. if these two vehicles lock together upon collision, what is the initial velocity of the vehicles after collision? (7.2 m/s 37o w of n) 2. a 6.2 kg object heading north at 3.0 m/s collides with an 8.0 kg object heading west at 3.5 m/s. if these two masses stick together upon collision, what is their velocity after collision? (2.4 m/s 56o w of n) 3. a 4.0 x 104 n truck moving west at a velocity of 8.0 m/s collides with a 3.0x104 n truck heading south at a velocity of 5.0 m/s. if these two vehicles lock together upon impact, what is their velocity?(5.0 m/s 25o s of w)

Answers

The velocity of vehicles after the collision is 15.82m/sec if car mass is 1.4 × 10³kg and truck mass is 2×10³kg

We know that we need to conserve the momentum of watermelon in a certain direction. Also,we know that initial momentum of watermelon is zero,it means that according to law of conservation of momentum final momentum should be zero.

We know that momentum =mass × velocity

So,initial momentum of car is =1.4 × 10³kg × 37km/hr

Similarly,,initial momentum of truck=2×10³kg × 35km/hr

Now,it is given that both vehicles lock together,so total mass of both vehicles is =1.4 × 10³kg +  2×10³kg=3.4 ×10³kg

Assume final velocity of both vehicle is v

So,following the law of conservation,we get

=>1.4 × 10³kg × 37 + 2×10³kg × 35 = 3.4 ×10³ ×v

=>51.8 ×10³ + 2×10³=3.4×10³ ×v

=>53.8 ×10³ kg-m/sec = 3.4×10³ ×v

=>v = 53.8/3.4

=>v=15.82m/sec

Hence,final velocity of both vehicle after collision is 15.82m/sec.

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