If "38 %" of the light passes through this combination of filters, what is the angle between the transmission axes of the filters

Answers

Answer 1

Answer:

52°

Explanation:

The initial intensity [tex]I_{0}[/tex] = [tex]I[/tex]

The final intensity [tex]I_{f}[/tex] = 38% of [tex]I[/tex] = 0.38

From the polarizing equation

[tex]I_{f} = I_{0} cos^{2}[/tex]θ

substituting values, we have

[tex]0.38I = I cos^{2}[/tex]θ

0.38 = [tex]cos^2[/tex]θ

cosθ = [tex]\sqrt{0.38}[/tex]

cosθ = 0.6164

θ = [tex]cos^{-1}[/tex] 0.6164

θ = 51.9 ≅ 52°


Related Questions

Water condenses on the side of a glass of ice water because the glass's temperature is below the dew point temperature.A. TrueB. False

Answers

Answer:

A. True

Explanation:

Water exists in the air in its gaseous form. If this gaseous water is cooled sufficiently enough below its dew point, it will condense into liquid water. This is what happens to the body of a glass filled with cold water. The glass's temperature drops the temperature of the air immediately around it, cooling it below dew point temperature. This causes water to condense on the body of the glass.

Nina and Jon are practicing an ice skating routine. Nina is standing still. Jon, who is twice as heavy as Nina, skates toward her, pushing Nina away with force f. Assuming the system is closed, which statement is correct about this system? A. Nina experiences a force equal to f. B. Nina experiences a force equal to f/2.

Answers

If the system is closed, Nina will experience only a force equal to F exerted by Jon.

According to Newton's third law of motion, action and reaction is equal and opposite. That is the force applied to a stationary object is equal to the reaction exerted by the stationary object.

Applying this law, the force Jon applied on Nina is equal to the reaction Nina exerts on Jon.

If Jon exerts a force of F magnitude on Nina, consequently, Nina will experience the force of equal magnitude and exert equal reaction in opposite direction towards Jon.Also, if the system is closed, no additional force will be experienced by Nina, except the force applied by Jon.

Thus, assuming the system is closed, Nina will experience only a force equal to F exerted by Jon.

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1. What is the longest-wavelength EM radiation that can eject a photoelectron from silver, given that the binding energy is 4.73 eV? Is this in the visible range?
2. Find the longest-wavelength photon that can eject an electron from potassium, given that the binding energy is 2.24 eV. Is this visible EM radiation?

Answers

Answer:

1. λ = 2.626 x 10⁻⁷ m = 262.6 nm

This wavelength is not in visible range. It lies in Ultra Violet Region.

2. λ = 5.546 x 10⁻⁷ m = 554.6 nm

This wavelength is in visible range.

Explanation:

The binding energy of in photoelectric effect is also known as work function. The formula for this is given as follows:

Binding Energy = Work Function = hc/λ

λ = hc/Work Function   --------------- equation (1)

where,

h = Plank's Constant = 6.626 x 10⁻³⁴ J.s

c = speed of light = 3 x 10⁸ m/s

λ = longest wavelength capable of ejecting electron = ?

(1)

Here,

Work Function = (4.73 eV)(1.6 x 10⁻¹⁹ J/1 eV) = 7.568 x 10⁻¹⁹ J

Therefore,

λ = (6.626 x 10⁻³⁴ J.s)(3 x 10⁸ m/s)/(7.568 x 10⁻¹⁹ J)

λ = 2.626 x 10⁻⁷ m = 262.6 nm

This wavelength is not in visible range. It lies in Ultra Violet Region.

(2)

Here,

Work Function = (2.24 eV)(1.6 x 10⁻¹⁹ J/1 eV) = 3.584 x 10⁻¹⁹ J

Therefore,

λ = (6.626 x 10⁻³⁴ J.s)(3 x 10⁸ m/s)/(3.584 x 10⁻¹⁹ J)

λ = 5.546 x 10⁻⁷ m = 554.6 nm

This wavelength is in visible range.

In experimental design: What are
the two groups?

Answers

Answer:

The correct answer is : a special type of experimental design where subject divides in two groups according their treatment setting.

Explanation:

A two group is a experimental design two groups are the two different groups of subjects divided by the researcher for comparing the data and result to establish relation in variables.

In normal case, one of the two groups one is a group of subjects who get treatment known as experiment or treatment group while other group is known as control group without treatment.

Thus, the correct answer is : a special type of experimental design where subject divides in two groups according their treatment setting.

a particular kind of experimental design in which the subjects are split into two groups based on the treatment environment. A two-group design is an experiment.

The researcher separated the participants into two groups and then compared the data and results to identify any relationships between the variables.

In a typical scenario, one of the two groups is made up of participants in an experiment or treatment group who receive care, while the other group is referred to as the control group who do not receive care.

Therefore, a particular kind of experimental design where subjects are divided into two groups according to their course of therapy.

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#SPJ6.

state the basic law of charges​

Answers

Answer:

Things that have the same charge push each other away (they repel each other). This is called the Law of Charges. … Things that have more electrons than protons are negatively charged, while things with fewer electrons than protons are positively charged. Things with the same charge repel each other.

Explanation:


Things that have the same charge push each other away (they repel each other). This is called the Law of Charges. ... Things that have more electrons than protons are negatively charged, while things with fewer electrons than protons are positively charged. Things with the same charge repel each other.

If a negative point charge is placed at PP without moving the original charges, the net electrical force the charges ±Q±Q will exert on it is

Answers

Answer:

hello your question is incomplete below is the complete question

point p is equidistant from two point charges +-Q of equal magnitude if a negative point charge is places at P without moving the original charges the net electrical force the charges +-Q will exert on it is A. directly upward B. directly downward C. zero D. directly to the right E. directly to the left why is it A?????

Answer : Directly upward

Explanation:

The direction of the resultant force acting on the charge placed at P will be in the upward direction. this is because the net electric force  at point p due to the opposite charges will be acted in the downward direction. If the negative charge is placed at point P, then the direction of the resultant force acting on the charge placed at P will be in the opposite direction to that of the field. i.e in the upward direction

Suppose the same car had at one point an acceleration of 12m/s^2 and an initial velocity of 8m/s. After 2 seconds, what would be the car's final velocity

Answers

Answer: 32 m/s

Explanation: v = u + at

                         = 8 + 12*2

                         = 8 + 24

                         = 32 m/s

Runner A is initially 6.0 km west of a flagpole and is running with a constant velocity of 9.0 km/h due east. Runner B is initially 5.0 km east of the flagpole and is running with a constant velocity of 8.0 km/h due west. What will be the distance of the two runners from the flagpole when their paths cross

Answers

Answer:

From the data we know that runner A and runner B are 11 km apart from the start because (6+5) km

So the runner from the east direction has distance as unknown km, rate= 9 k/h ; time= d/r=x/9 hr

So runner towards the west will be

distance = 11-x, rate= 8 k/h, time = d/r = (11-x)/8

So equating east and west time we have

x/9= (11-x)/8

8x=99-9x

17x=99

x=5.92 km

That is the distance covered by runner towards the east and he will meet the runner toward the west at

6-5.92=0.08 km west of the flagpole.

in your own words provide two advantages of using meters as a measurement of length rather than old measurements of length such as hands or steps

Answers

Answer:

it is accepted all over the world

it is more reliable than other kinds of measuring system

A swimmer heads for the opposite bank of a river. Make a sketch showing the swimmer's two velocities and the resultant velocity. (Assume the river flows in the +x direction and the opposite bank is in the +y direction.)

Answers

Answer:

    v = √ (v₁² - vₓ²)

 θ = sin⁻¹ (vₓ / v₁)

Explanation:

This is a speed composition exercise in kinematics, in the adjoint we can see the swimmer with speed v₁ and the river with speed vₓ, the resulting speed is v

To find these values ​​we can use the Pythagorean theorem

           v₁² = v² + vₓ²

           v = √ (v₁² - vₓ²)

the direction the swimmer should take is

           sin θ = vₓ / v₁

           θ = sin⁻¹ (vₓ / v₁)

How could you test the hypothesis that elephants interpreted the ground signal as being farther away than the air signal?

Answers

Answer:

One way to test the hypothesis is to create two waves, one in the air and one on the ground at the same time. One of them for the elephant to get closer and another for the elephants to move away. Observe the reaction of the animal and with this we know which sound came first.

Explanation:

This hypothesis is based on the fact that the speed of sound in air is v = 343 m / s with a small variation with temperature.

The speed of sound in solid soil is an average of the speed of its constituent media, giving values ​​between

 wood      3900 m / s

 concrete 4000 m / s

 fabrics     1540 m / s

 earth       5000 m / s wave S

 ground    7000 m / s P wave

 

we can see that the speed on solid earth is an order of magnitude greater than in air.

One way to test the hypothesis is to create two waves, one in the air and one on the ground at the same time. One of them for the elephant to get closer and another for the elephants to move away. Observe the reaction of the animal and with this we know which sound came first.

From the initial information, the wave going through the ground should arrive first.

To test the hypothesis that elephants interpreted the ground signal as being farther away the air signal is to see how fast they react by high and low frequency sounds. This however can be done by creating two waves, one in the air and one on the ground at the same time. One of them for the elephant to get closer and another for the elephants to move away. The reaction of the animal is then observed and via the first sound from one of them

Hypothesis

A hypothesis is an assumption, an idea that is proposed for the sake of argument so that it can be tested to see if it might be true.

In non-scientific use, hypothesis and theory are often used interchangeably.

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A driver has a reaction time of 0.50 s , and the maximum deceleration of her car is 6.0 m/s² . She is driving at 20 m/s when suddenly she sees an obstacle in the road 50 m in front of her.

What is the distance she passes after noticing the obstacle before fully stopping?

Answers

Answer:

43.3 m

Explanation:

given :

the initial velocity of the car , u = 20m/s

The reaction time is 0.5s

the distance that the car will travel during the reaction time

= initial velocity x reaction time

= 20 m/s  x 0.5 s

= 10 m

Now we turn our attention to the stopping distance AFTER she reacts and steps on the brakes:

recall that one of the forms that the equations of motions can be expressed is:

v² = u² + 2as

where v = final velocity = 0 because the car comes to a stop

u = initial velocity = 20m/s

a = acceleration = -6.0 m/s²  (note negative sign because it is a deceleration)

s = distance traveled (we are asked to find this)

substituting the known values into the equation:

v² = u² + 2as

0² = 20² + 2(-6.0) s

0 = 400 - 12s

1.2s = 400

s = 400/12

s = 33.33 m

Total distance travelled

= distance during reacting time + distance while decelerating

= 10  + 33.3

= 43.3 m

Answer:

43.3 m

Explanation:

Given :

Reaction time = 0.5 sDeceleration = -6.0 m/s²Speed = 20 m/sObstacle Distance = 50 m

Distance Travelled during Reaction Period

S = utS = 20 × 0.5S = 10 m

Using the formula v² - u² = 2aS :

Rearrange it so it is equal to 'S'S = v² - u² / 2aS = 0² - 20² / 2(-6) [v = 0, because speed is 0 when car stops]S = -400/-12S = 100/3 = 33.3 m

Distance travelled after fully stopping :

10 m + 33.3 m43.3 m

Whenever you push an object across a frictional surface, it starts out taking a lot of force to push to get the object moving. However, once the object starts moving, it is much easier to keep it moving. What does this tell you about one of the main differences between static and kinetic friction?

a.Static friction only depends on the surface material, while kinetic friction only depends on the motion

b Kinetic and Static friction are the exact same thing

c Static friction and kinetic friction are combined in one at all times, but static friction is just not seen during the motion

d Static Friction is much stronger than kinetic friction, so it takes more force to get an object moving than it does to keep it moving

Answers

Answer:

The answer is A

Explanation:

Here's an example. A child is in school taking a test. They have made a mistake on a question, and want to erase it. The eraser is made out of a type of rubber, the rubber has friction, which means the eraser has something that's going to resist movement. Now the child has exerted enough force to get it moving, and it's moving, it won't stop unless the child stops exerting force to keep it moving. Both Newton's 1st and 3rd law explain the action of moving something on a surface with friction.

A well with vertical sides and water at the bottom resonates at 5.63 Hz and at no lower frequency. (The air-filled portion of the well acts as a tube with one closed end and one open end.) The air in the well has a density of 1.10 kg/m3 and a bulk modulus of 1.33 × 10^5 Pa. How far down in the well is the water surface?

Answers

Answer:

The  value  is  s =  15.4 \ m

Explanation:

From the question we are told that  

     The  frequency is  [tex]f =  5.63 \  Hz[/tex]

      The  density of air in the well is [tex]\sigma  =  1.33 *10^{5} \  Pa[/tex]

      The  Bulk modulus is  [tex]B =  1.33*10^{ 5} \  Pa[/tex]

Generally the distance of the water surface from the opening is mathematically represented as

      [tex]s =  \frac{1}{4 f }  *  \sqrt{\frac{B}{\rho } }[/tex]

=>    [tex]s =  \frac{1}{ 4 *  (5.63 )} \sqrt{\frac{1.33*10^{5}}{ 1.10} }[/tex]

=>   [tex]s =  15.4 \ m[/tex]

From the top of a cliff, a person throws a stone straight downward. The initial speed of the stone just after leaving the person's hand is 9.7 m/s. (a) What is the acceleration (magnitude and direction) of the stone while it moves downward, after leaving the person's hand? magnitude m/s^2direction Is the stone's speed increasing or decreasing? a. increasing b. decreasingAfter 0.51 s, how far beneath the top of the cliff is the stone? (Give just the distance fallen, that is, a magnitude.)________ m.

Answers

Answer:

a

 [tex]a = 9.8 \ m/s[/tex]

   Increasing  

     

b

 [tex]s = 6.22 \ m[/tex]

Explanation:

From the question we are told that

    The  initial speed is [tex]u = 9.7 \ m/s[/tex]

      The  time  taken is  [tex]t = 0.51 \ s[/tex]

Generally given that the stone is moving downward the acceleration is  equivalent to the generally value of acceleration due to gravity and it would be increasing as the stone approaches the ground(toward the center of the earth )

Thus the acceleration is  [tex]a = 9.8 \ m/s[/tex]

   Generally from the equation of motion we have that

       [tex]s = ut + \frac{1}{2} at^2[/tex]

=>    [tex]s = 9.7 * 0.51 + \frac{1}{2} *9.8 * 0.51^2[/tex]

=>     [tex]s = 6.22 \ m[/tex]

 

7: A 2 mA current passes through a 1.4 cm long solenoid producing a magnetic field of .162 G. How many turns are in the solenoid

Answers

Answer:

The number of turns is 64449395

Explanation:

The expression for the solenoid formula is stated below, and it is what we are going to use to solve for the number of turns

B= μ₀nl

where B= magnetic field

           μ₀= permeability , 4π × 10⁻⁷ Henry

           n= number of turns

            l= length of coil

Given data

current I=  2 mA

length L= 1.4 cm to meter we have 0.014

magnetic field B= 0.162 T

From the expression we can make n subject of formula we have

n=B/μ₀l

Substituting we have

n= 0.162/4π × 10⁻⁷*2*10^-3

n= 0.162/8π × 10^⁻10

n= 0.162/2.5136*10^-9          

n= 64449395

You are comparing a reaction that produces a chemical change and one that produces a physical change. What evidence could you use to determine which type of change is occurring?

Answers

Answer:

''

Explanation:

A chemical change results from a chemical reaction, while a physical change is when matter changes forms but not chemical identity. Examples of chemical changes are burning, cooking, rusting, and rotting. Examples of physical changes are boiling, melting, freezing, and shredding. Often, physical changes can be undone, if energy is input.

Answer:

If the reaction is a chemical change, new substances with different properties and identities are formed. This may be indicated by the production of an odor, a change in color or energy, or the formation of a solid.

What should be done following health violations from inspection

Answers

Fix critical violations during the inspection when and if possible (e.g., temperature issues, cross-contamination issues, sanitizing solution, etc.).
Review the inspection report and correct all noted deficiencies. Inform your employees of the violations and explain their importance. Determine why each violation occurred so you can try to avoid it in the future.
If you don't understand the violation, ask the health official to explain. Remember to not be confrontational; your health inspector should be your ally.
If you disagree with the inspector's findings, you can appeal the decision later. Typically, this involves calling the health department and talking with the inspector’s supervisor.

Answer:

Correct identifies issues

Explanation:

Bridget is riding her bicycle up a hill. Which statements are correct? Select five options.
Bridget is transferring energy to the bicycle.
The bicycle is using energy to do work.
Bridget has kinetic energy.
The bicycle has potential energy.
Bridget has nuclear energy.
The bicycle has mechanical energy.

Answers

Answer:

A,B,C,D, and F are correct

Explanation:

Answer:

Explanation:

A,B,C,D, and F

The planet Mercury takes 0.24 sidereal years to go around the sun. What is the distance from the center of Mercury to the center of the sun

Answers

Answer:

5.77×10¹⁰ m

Explanation:

From the question,

Applying

Kepler's third law

P² = d³...................... Equation 1

Where P = Planet's period, d = distance between the center of the planet and the sun.

make d the subject of the formula n equation 1

d = [tex]\sqrt[3]{P^{2} }[/tex].................. Equation 2

Given: P = 0.24 sidereal.

Substitute the value of P into equation 2

d = [tex]\sqrt[3]{0.24^{2} }[/tex]

d = 0.386 Au

d = 0.386×1.496×10¹¹

d = 5.77×10¹⁰ m

1. How does the de Broglie wavelength of an electron change if its momentum increases?
a. The de Broglie wavelength of the electron increases.
b. The de Broglie wavelength of the electron decreases.
c. The de Broglie wavelength of the electron is unchanged.
2. How does the de Broglie wavelength of an electron change if its kinetic energy decreases?
a. The de Broglie wavelength of the electron increases.
b. The de Broglie wavelength of the electron decreases.
c. The de Broglie wavelength of the electron is unchanged.

Answers

Answer:

1. The de Broglie wavelength of the electron decreases if its momentum increases.

b. The de Broglie wavelength of the electron decreases is the correct answer

2. The de Broglie wavelength of the electron increases as the kinetic energy decreases.

a. The de Broglie wavelength of the electron increases is the correct option

Explanation:

1. The relationship between de Broglie wavelength, λ and momentum ρ is given by

λ = h/ρ

Where λ is the de Broglie wavelength

h is Planck's constant and

ρ is the momentum

From the formula, the de Broglie wavelength, λ varies inversely with the momentum, ρ. Hence, as the de Broglie wavelength increases the momentum decreases; similarly, as the de Broglie wavelength decreases, the momentum increases.

For question 1, The de Broglie wavelength of the electron decreases if its momentum increases.

b. The de Broglie wavelength of the electron decreases is the correct answer

2. From

λ = h/ρ

ρ = mv

∴ λ = [tex]\frac{h}{mv}[/tex]

Where m is mass

and v i velocity

Recall that Kinetic energy K.E is given by

K.E = [tex]\frac{1}{2}mv^{2}[/tex]

[tex]E_{K} = \frac{1}{2}mv^{2}[/tex]

[tex]E_{K}[/tex] is the kinetic energy

∴ [tex]v = \sqrt{\frac{2E_{K} }{m} }[/tex]

Now we will evaluate [tex]mv[/tex]

[tex]mv = m \sqrt{\frac{2E_{K} }{m} }\\mv = \sqrt{m^{2} }.\sqrt{\frac{2E_{K} }{m} }\\ mv = \sqrt{\frac{2m^{2}E_{K} }{m} } \\mv = \sqrt{{2mE_{K} }[/tex]

∴ λ = [tex]\frac{h}{mv}[/tex] becomes

λ = [tex]\frac{h}{\sqrt{2mE_{K} } }[/tex]

This equation shows the relationship between the de Broglie wavelength and kinetic energy, [tex]E_{K}[/tex]

From the equation, de Broglie wavelength varies inversely with kinetic energy. That is, as the de Broglie wavelength increases the kinetic energy decreases; similarly, as the de Broglie wavelength decreases, the kinetic increases.

For question 2, The de Broglie wavelength of the electron increases as the kinetic energy decreases.

a. The de Broglie wavelength of the electron increases is the correct option

how to protect the ozone layer?

Answers

Answer:

[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]

we have to protect ozone layer because it is like blanket for earth . It protects the earth form uv rays that are coming from the sun

we have to take some preventive. measures like

Use ecofriendly things that Doesnot contain (cfc) . It is the major reason for ozone Deplition

Effects of uv rays

Uv rays are very harmful . If it directly comes in contact with human it cause skin cancer , eyes irritation etc.

Hope it helps.

Some species of whales can dive to depths of 1 kilometer. What is the absolute pressure they 352 experience at this depth

Answers

Answer:

The whales experience pressures of about 9.87Mpa at this depth of 1km into the water.

Explanation:

The absolute pressure can be calculated using the formula: P Abs = P Guage + P Fluid.

This means that once the whales dive under the water, both the pressure from the atmosphere and the pressure from the water is acting on them.

The Guage pressure is 101325 Pa. This can be obtained from standard tables.

The fluid pressure at a depth of 1km (1000 m) can be obtained using the formula: [tex]P = \rho gh[/tex]

Where [tex]\rho[/tex] = density of water = 997 kg/m³

g = acceleration due to gravity = 9.8 m/s2

h = depth of dive = 1000m

[tex]P = 997 \times 9.8 \times 1000 = 9770600 Pa[/tex]

Therefore, Absolute pressure = 101325 Pa + 9770600 Pa = 9871925 Pa

The whales experience pressures of about 9.87Mpa at this depth of 1km

One of the great upcoming sports in the Olympics is the sport of curling. Write a brief essay on the uses of momentum collisions in curling. Be sure to discuss the importance of massive stones and of going last. in at least 150 words

Answers

The Olympic sport of curling is one that is practically designed to show Physics in motion. Curling is a sport in which two teams alternate sliding smoothed stone pucks down an ice rink court with the intent to seat their stone closest to the center of the target (called the house). Each team has eight stones, meaning that the team that goes second has the (could be) massive advantage of sending the last stone.  

The mass of the stone is important in that the more massive a stone (m) and the speed at which it travels (v) dictates it's momentum (momentum=mxv). As the curling stone slides down the ice (which is relatively frictionless unless acted upon by other players or objects) and having inertia, continues in it's straight course (again, unless acted upon by outside forces). If the stone hits another stone, it transfers some of its momentum in an elastic collision to that stone and the original stone is deflected in a calculable manner.    

Collisions are used in the game to either clear opponent's stones from the house or out of their defensive positions, or to make adjustments to one's stones present in the house, all based on the momentum of the moving stone, and its transference.

How many kg are equal to 325 g? Please explain

Answers

Answer:

.0325

Explanation:

you take 325 g times 0.001/ 1g and that equals to 0.325

Answer:

there is 0.325 kilograms in a gram

Explanation:

divide the mass by 1000

At what angle should the axes of two Polaroids be placed so as to reduce the intensity of the incident unpolarized light to 1515.

Answers

Complete  Question

At what angle should the axes of two Polaroids be placed so as to reduce the intensity of the incident unpolarized light to 1/5.

Answer:

The  angle is  

Explanation:

From the question we are told that

   The light emerging from second Polaroid is 1/5 the  unpolarized

Generally the intensity of light emerging from the first Polaroid is mathematically represented as

             [tex]I_1 = \frac{I_o}{ 2 }[/tex]

Generally from the Malus law the intensity of light emerging from the second Polaroid  is mathematically represented

      [tex]I_2 = I_1 cos^2 (\theta )[/tex]

=>   [tex]cos^2 (\theta ) = \frac{I_2}{I_1 }[/tex]

=>   [tex]cos (\theta) = \sqrt{ \frac{I_2}{I_1} }[/tex]

From the question [tex]I_2 = \frac{I_o}{5}[/tex]

     [tex]cos (\theta) = \sqrt{ \frac{ \frac{ I_o}{5} }{\frac{I_o}{2} } }[/tex]

     [tex]cos (\theta) = \sqrt{ \frac{2}{5} }[/tex]

=>    [tex]\theta = cos ^{-1} [\sqrt{\frac{2}{5}} ][/tex]

=>    [tex]\theta = 50.77^o[/tex]

Which number below equals 129000? * *

Answers

Answer:

0.1

Explanation:

Solve the equation 30=10x for x.

Answers

Answer:

x = 3

Explanation:

30 = 10x

30/10 = x

3 = x

Answer:

X=3

Explanation: 30 = 10x for x

Divide both sides by 10

30/10 = 10x/10

3 = x

You wish to produce an emf of 41.0 mV using an inductor whose inductance is 13.0 H. You start with a current of 1.50 mA through the inductor and increase the current at a steady rate. What is the current through the inductor at the end of 2.60 s

Answers

Answer:

The current through the inductor at the end of 2.60s is 9.7 mA.

Explanation:

Given;

emf of the inductor, V = 41.0 mV

inductance of the inductor, L = 13 H

initial current in the inductor, I₀ = 1.5 mA

change in time, Δt = 2.6 s

The emf of the inductor is given by;

[tex]V = L\frac{di}{dt} \\\\V = \frac{L(I_1-I_o)}{dt} \\\\L(I_1-I_o) = V*dt\\\\I_1-I_o = \frac{V*dt}{L}\\\\I_1 = \frac{V*dt}{L} + I_o\\\\I_1 = \frac{41*10^{-3}*2.6}{13} +1.5*10^{-3}\\\\I_1 = 8.2*10^{-3} + 1.5*10^{-3}\\\\I_1 = 9.7 *10^{-3} \ A\\\\ I_1 = 9.7 \ mA[/tex]

Therefore, the current through the inductor at the end of 2.60 s is 9.7 mA.

A motorcycle is following a car that is traveling at a constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 19.0 m/s, and the distance between them is 52.0 m. After t1 = 5.00 s, the motorcycle starts to accelerate at a rate of 5.00 m/s2. How long does it take from the moment when the motorcycle starts to accelerate until it catches up with the car?

Answers

Answer:

t=2.14s

Explanation:

Since it asks us for the time it takes from the moment it starts accelerating, the first 5 seconds of movement mentioned is irrelevant here.

Next it'd be simple just to use the kinematic equation involving distance, time, and velocity:

∆d=V₀t+at²/2

From here we can move the change in distance over and use the quadratic formula to solve for time.

My work is in the attachment. Comment with any questions.

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