A truck with the mass of 8 ton travels at a velocity of 60km/h and collides
with a truck with a mass of 5 tons travelling in the same direction at 40km/h.
After the collision the two trucks move together.
Calculate the final common velocity if the TWO trucks in m/s after the
collision?

Answers

Answer 1

Answer:

52 km/h

Explanation:

When the two trucks move together after collision, the momentum of the system is conserved. The kinetic energy is not conserved. This is inelastic collision

The formula to apply here is :

m₁v₁ + m₂v₂ = {m₁+ m₂} *vf

Given that ;

m₁ = 8 ton ----convert to kg [ multiply by 907.185] =7258 kg

v₁ = 60 km/h

m₂ = 5 tons ------4536 kg

v₂ = 40 km/h

vf = final velocity

Using the values given;

m₁v₁ + m₂v₂ = {m₁+ m₂} *vf

8*60 + 5*40 = {8+5} * vf

480 + 200 = 13 * vf

680 = 13vf

680/13 = vf

52 km/h = vf


Related Questions

A football player kicks a football off a tee with a speed of 21 m/s at an angle of 51°.

a. What is the horizontal component of the velocity?
b. What is the vertical component of the velocity?
c. How long does it take the ball to reach its highest point?
d. What is the maximum height of the ball?
e. What is the total amount of time that the ball is in the air?
f. How far is the ball from the football player when it lands?

I would appreciate any help :)

Answers

Answer:

see explanation

Explanation:

Answer:

a. 13.22 m/s

b. 16.32

c. 1.664 s

d. 13.58

e. 3.328

f. 40.0m

Explanation:

This is basically what the guy said, i dunno if you saw the letters, but he added some at the end of every answer.

Only 35 % of the intensity of a polarized light wave passes through a polarizing filter. What is the angle between the electric field and the axis of the filter

Answers

Answer:

The angle between the electric field and the axis of the filter is 54⁰

Explanation:

Apply the equation for intensity of light through a polarizer.

[tex]I = I_oCos^2 \theta[/tex]

where;

I is the intensity of the transmitted light

I₀ is the intensity of the incident light

θ is the incident angle

If only 35 % of the intensity of a polarized light wave passes through a polarizing filter, then the ratio of the intensity of the transmitted light to that of the intensity of the incident light is given by;

[tex]\frac{I}{I_o} = Cos^2 \theta\\\\\frac{35}{100} = Cos^2 \theta\\\\Cos^2 \theta = 0.35\\\\Cos\theta = \sqrt{0.35} \\\\Cos\theta = 0.5916\\\\\theta = Cos^{-1}(0.5916)\\\\\theta = 54 ^0[/tex]

Therefore, the angle between the electric field and the axis of the filter is 54⁰

The angle between the electric field and the axis of the filter for the polarized light wave which passes through a polarizing filter is 54°.

What is electric field?

The electric field is the field, which is surrounded by the electric charged. The electric field is the electric force per unit charge.

From the Malus's law, the intensity of the polarized beam can be calculated with the following formula.

[tex]I=I_o\cos^2\theta[/tex]

Here, (I₀) is the intensity of the polarized beam incident on the observer θ is the angle of incident.

It is given that only 35 % of the intensity of a polarized light wave passes through a polarizing filter.

The angle between the electric field and the axis of the filter can be found out using the above formula as,

[tex]35\%=(100\%)\cos^2\theta\\\theta=\cos^{-1}\sqrt{\left(\dfrac{35}{100}\right)}\\\theta=54^o[/tex]

Hence, the angle between the electric field and the axis of the filter for the polarized light wave which passes through a polarizing filter is 54°.

Learn more about electric field here;

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what are fundamental quantities ​

Answers

Answer: length,  luminous intensity,mass, time, temperature, electric current, amount of a substance.

Explanation:

A 10-turn ideal solenoid has an inductance of 3.5 mH. When the solenoid carries a current of 2.0 A the magnetic flux through each turn is:

Answers

Answer:

7 * 10^-4Wb

Explanation:

The magnetic flux is the product of the inductance and current

Magnetic flux = LI

L is the inductance = 3.5mH

I is the current = 2.0A

Number of turns N = 2A

Since for a 10-turn solenoid, L = 3.5mH

For a one-turn solenoid, L = 3.5/10 = 0.35mH

magnetic flux = 0.35mH * 2

magnetic flux = 0.35 * 10^-3 * 2

magnetic flux = 0.7* 10^-3

Magnetic flux = 7 * 10^-4Wb

Hence the magnetic flux through each turn is 7 * 10^-4Wb

The magnetic flux through each turn is 7 ×10⁻⁴ Wb. The magnetic flux is the product of the inductance and current.

What is megnetic flux?

The surface integral of the normal component of the magnetic field B across a surface is the magnetic flux through that surface. It is commonly indicated by the letters B.

The weber is the SI unit for magnetic flux, while the maxwell is the CGS unit.

The given data in the problem is;

[tex]\rm \phi[/tex] is the magnetic flux =?

L is the inductance = 3.5mH

I is the current = 2.0A

N number of turns of solenoid  = 2A

The inductance for the one turn is found by;

For a 10-turn solenoid, L = 3.5mH

For a one-turn solenoid, L = 3.5/10 = 0.35mH

The megnetic flux through each turn is found by;

[tex]\rm \phi = L \times I \\\\ \rm \phi = 0.35 \times 10^{-3}\times 2\\\\ \rm \phi =7 \times 10^{-4}[/tex]

Hence the magnetic flux through each turn is 7 ×10⁻⁴ Wb.

To learn more about the megnetic flux refer to the link;

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People have been able to make materials such as fiber optics cables A. using nails and screws. B. using glue and scissors. C. using rocks and stones. D. using science and technology.

Answers

Answer:

D

Explanation:

At the focal point of a converging lens, the object cannot be seen. O A. True B. False​

Answers

Answer: True

Explanation: Guessed on A p E x and it was correct

Answer:

True

Explanation:

a p e x

I need help with this science work

Answers

Please tell us the question and we will try to answer.

Sir what’s your question? You can write it down in the comments

When a satellite is in orbit around the Earth, the force of the gravity on the satellite is...

Answers

Answer:

Is always towards the center of the Earth

Explanation:

If one person is applying an upward force equal to 60 N at one end, at what location on the board is the other person applying an upward force

Answers

Answer:

When one person applies force f1 = 60 N at one end, the other person applies f2 = 160 - 60 = 100 N. The torques about the center must balance. Thus the distances from the center d1 and d2 must be such that f1*d1 = f2*d2, or 60*1.5 = 100*d2, so d2=0.9. Thus f2 must be applied at a point 1.5 + 0.9 = 2.4 m from the end where f1 is applied.

A particle with charge q and mass m moving with speed v in the x direction enters a magnetic field of strength B pointing in the y direction. The magnitude of the acceleration of the particle as it travels one semicircle is

Answers

Answer:

The acceleration of the particle as it travels one semicircle is

[tex]a= \frac{\pi R}{t^2}[/tex]

Explanation:'

Kindly see attached a sketch of a semi-circle

Step one:

given data

velocity =v

let the time taken be t

The path PQM is the distance covered

so distance [tex]d= \pi R[/tex]

we know that time= distance/velocity

t= πR/v

step two:

velocity =distance/time

[tex]velocity=\frac{\pi R}{t}[/tex]

also, we know that acceleration is velocity/time

[tex]a= \frac{\pi R}{\frac{t}{t} }[/tex]

[tex]a= \frac{\pi R}{t}*\frac{1}{t}[/tex]

[tex]a= \frac{\pi R}{t^2}[/tex]

Two men, Joel and Jerry, push against a wall. Jerry stops after 10 min, while Joel is able 1) to push for 5.0 min longer. Compare the work they do. A) Both men do positive work, but Joel does 25% more work than Jerry. B) Both men do positive work, but Joel does 75% more work than Jerry. C) Both men do positive work, but Jerry does 50% more work than Joel. D) Both men do positive work, but Joel does 50% more work than Jerry E) Neither of them does any work.

Answers

Answer:

the correct answer is E

Explanation:

Work is defined by the expression

        W = F. d

Where the bold indicates vectors, we can make the dot product explicit

         W = F d cos θ

We can see that this definition of work the two men apply a force, but the wall does not move, so if there is no displacement the work is zero.

When checking the correct answer is E

does water not have anomalous expansion?​

Answers

Explanation:

The anomalous expansion of water is an abnormal property of water whereby it expands instead of contracting when the temperature goes from 4o C to 0o C, and it becomes less dense. ... The density becomes less and less as it freezes because molecules of water normally form open crystal structures when in solid form.

No. Water does not have anomalous expansion

Someone help me please.

Answers

Answer:

ionic

ionic

covalent

covalent (i think)

Explanation:

ionic= donate electrons (gain/lose)... (results in ions that have +/- charge, are no longer neutral)

covalent= share electrons

please help im failing!!!

Answers

1- Kinetic , Mass , Speed
2- Speed
3- Speed, Mass
4- Mass, More
5- Transferred, collide
6- Kinetic, electricity
7- Transferred, Destroyed

:)

Imagine holding two identical bricks under water. Brick A is just beneath the surface of the water, while brick B is at a greater depth. What is the force needed to hold brick B in place? (Assume the density of water doesn't change with height.) a) the same as b) larger c) smaller than the force required to hold brick A in place.

Answers

Answer:

I think it's c

Explanation:

The brick's mass, helps to hold it under the water but brick A is being held up. If you dropped the brick, it would sink to the bottom. You need a stronger force to hold it up.

Hope this helps you! x

Buoyancy force is needed to hold brick B in place.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Upthrust, often known as buoyancy, is an upward force applied by a fluid against the weight of an object that is partially or completely submerged. The weight of the fluid on top causes pressure in a fluid column to rise with depth. The brick's mass, helps to hold it under the water but brick A is being held up. If you dropped the brick, it would sink to the bottom. You need a stronger force to hold it up.

Buoyancy force is needed to hold brick B in place.

To learn more about force refer to the link:

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#SPJ6

A ferry crossed the Potomac River four times in one day. The ferry traveled the same distance for each trip, but it took different amounts of time. The time for each trip is shown in the table below. Time for Ferry to Cross on Different Trips Trip Number Time Trip 1 10 minutes Trip 2 11 minutes Trip 3 9 minutes Trip 4 12 minutes On which trip did the ferry travel the fastest? A. Trip 3 B. Trip 2 C. Trip 4 D. Trip 1

Answers

Explanation:

trip 3 ( 9 minutes)

If the ferry is moving at a faster speed, it will travel the same distance in a shorter time. The ferry crossed the river the fastest on Trip 3 because it took the shortest amount of time on that trip.

Which dwarf planet has a moon nearly as large as itself?

Answers

Answer:

The answer is the Pluto.

What are the two main regions of the body?
cranial and spinal
axial and appendicular
trunk and limbs
muscular and skeletal

Answers

Answer: Your correct answer would be the second option; axial and appendicular. The axial region makes up the axis of the human body, this includes your head, neck, etc. The appendicular region makes up the parts of the human body that connects to the axial region, for example limbs and appendages.

While Barb was playing soccer, she was kicked in the anterior thigh by an opposing teammate. Due to this injury, what muscle function may she find difficult to perform?

Answers

Answer:

knee extension is the muscle function that will be difficult to perform.

Explanation:

Barb was kicked in the anterior thigh. Now, the thigh muscles performs a combined operation of moving the knee and leg and they reside in the following compartments.

- Anterior compartment which is composed of knee joint extension and thigh flexion.

- Lateral Compartment which is composed of the tensor fasciae latae, which is a tiny muscle that abducts and centrally will make the thigh to rotate.

-Medial compartment which involves thigh addiction which is rotating of the thigh around the hips.

- Posterior compartment which involves knee joint flexion and high extension.

Thus, from the different compartments listed above, we can see that the muscles that extend the knee and flex the thigh all lie in the anterior compartment of the upper leg.

Thus, we can conclude that knee extension is the muscle function that will be difficult to perform.

A force of 400-N pushes on a 25-kg box horizontally. The box accelerates at 9 m/s? Find the coefficient of kinetic friction between the box and floor.

Answers

Answer:

0.69

Explanation:

Using the Newtons law of motion;

[tex]\sum Fx = ma_x\\Fm - Ff = ma_x[/tex]

Fm is the moving force = 400N

Ff is the frictional force = μR

μ is the coefficient of kinetic friction

R is the reaction = mg

m is the mass

a is the acceleration

The equation becomes;

[tex]Fm - \mu R = ma_x\\Fm - \mu mg = ma_x\\400- \mu (25)(9.8) = 25(9)\\400 - 254.8 \mu = 225\\- 254.8 \mu = 225 - 400\\- 254.8 \mu = -175\\ \mu = \frac{-175}{- 254.8} \\\mu = 0.69[/tex]

Hence the coefficient of kinetic friction between the box and floor is 0.69

The coefficient of kinetic friction between the box and the floor is 0.714.

Friction: This can be defined as the force that tends to oppose two surfaces in motion.

The question above can be solved using the formula

F-ma = mgμ................. Equation 1

Where F = Force applied to push the box, m = mass of the box, a = acceleration of the box, μ = coefficient of kinetic friction, g = acceleration due to gravity.

make μ the subject of the equation

μ = (F-ma)/mg................ Equation 2

From the question,

Given: F = 400 N, m = 25 kg, a = 9 m/s²,

Constant: g = 9.8 m/s²

Substitute these values into equation 2

μ = [400-(25×9)]/(25×9.8)

μ = (400-225)/245

μ = 175/245

μ = 0.714

Hence, the coefficient of kinetic friction between the box and the floor is 0.714.

Learn more about friction here: https://brainly.com/question/13683196

What's the temperature 414K in degrees Celsius?

Answers

Answer:

212 I think

Explanation:

I looked it up

The density for gold is 19.3 g/cm3. What would be the mass of a 45 cm3 piece of gold?

Answers

Answer:

868.5 g

Explanation:

Mass= Density x Volume

Mass= 19.3 x 45

=868.5

Answer:

675.5g

Explanation:

The formula for density is: D = m/V.

To solve this problem, we need to rearrange this formula to solve for mass:

m = D x V.

Next, we plug the given values in for density, D, and volume, V:

m = 19.3 g/cm3 x 35 cm3

So, m = 675.5 g

A black widow spider hangs motionless from a web that extends vertically from the ceiling above. If the spider has a mass of 1.27 g, what is the tension in the web

Answers

Answer:

Tension = 0.012 N

Explanation:

If the black widow spider is hanging vertically motionless from the ceiling above. Then, the weight of the spider must be balancing the tension in the spider web. Therefore,

Tension = Weight

Tension = mg

where,

m = mass of spider = 1.27 g = 0.00127 kg

g = acceleration due to gravity = 9.8 m/s²

Therefore,

Tension = (0.00127 kg)(9.8 m/s²)

Tension = 0.012 N

Gravity pushes against all objects, trying to crush it. What pushes against gravity in: a main sequence star, a white dwarf, a neutron star, and a black hole?

Answers

Answer:

heat pressure, neutron degeneracy, electron degeneracy,nothing.

Explanation:

In main sequence star, gravity's inward pull is greatly balanced by the heat pressure. In the white dwarf, gravity is mainly balanced by the electron degeneracy pressure that arises from the fact that the electrons are fermions and they obey the Pauli's exclusion principle.  So there is no two electrons that have the same the four quantum numbers.

While in neutron star, the neutron degeneracy pressure obeys the Pauli's exclusion principle that gives rise to the degeneracy pressure and noting pushes against the gravity in the black hole. Therefore the correct option is the heat pressure, neutron degeneracy, electron degeneracy and nothing.

A 1000 kg car and a 2000 kg car are lifted the same distance in a
mechanic's shop. Neglecting friction, raising the more massive car
requires

Answers

Answer:

Twice as much work

Explanation:

A student drops a 2.4-kg ball. It’s speed right before hitting the ground is 5 m/s. If 15 J of energy was transferred to the environment as the ball fell, what was the total initial energy of the ball?

21 J
30 J
45 J
6 J

Answers

The answer is 45J

Don’t know how to explain sorry

A 65-turn coil has a diameter of 14 cm. Find the magnitude of the emf induced in the coil (in V) if it is placed in a spatially uniform magnetic field of magnitude 0.65 T so that the face of the coil makes the following angles with the magnetic field, and the magnetic field is reduced to zero uniformly in 0.2 s.

Answers

Answer:

The value is [tex]\epsilon = 3.24 \ V[/tex]  

Explanation:

From the question we are told  that

    The number of turns is  n =  65

    The diameter is  [tex]d = 14 \ cm = 0.14 \ m[/tex]

    The magnetic field is  [tex]B_1 = 0.65 \ T[/tex]

    The time taken for the magnetic field to be reduced to [tex]B_2 = 0 \ T[/tex] is [tex]\Delta t = 0.2 s[/tex]

Generally the magnitude of the induced emf is mathematically represented as

        [tex]\epsilon = N * \frac{B_1 - B_2}{\Delta t } * A[/tex]

Here A is the area of the coil which is mathematically represented as

        [tex]A = \pi * \frac{d^2}{4}[/tex]

=>     [tex]A = 3.142 * \frac{0.14^2}{4}[/tex]

=>     [tex]A = 0.0154 \ m^2[/tex]

So

        [tex]\epsilon = 65 * \frac{0.65 - 0 }{0.2 } * 0.01534[/tex]  

=>    [tex]\epsilon = 3.24 \ V[/tex]  

In an RC parallel circuit, Et = 480 V, R = 50ko, and XC = 47 ko. What is the reactive power?

Answers

Correct question is;

In an RC parallel circuit, Et = 480 V, R = 50kΩ, and XC = 47 kΩ. What is the reactive power?

Answer:

P_r = 4.9 VARs

Explanation:

We are given;

Total voltage: Et = 480 V

Resistance; R = 50kΩ = 50000 Ω

Capacitive reactance; XC = 47 kΩ = 47000 Ω

Formula for current across the capacitor is;

Et = I_c • XC

I_c = Et/XC

l_c = 480/47000

I_c = 0.01021 A

Formula for reactive power is;

P_r = (I_c)² × XC

P_r = 0.01021² × 47000

P_r = 4.9 VARs

A student puts a besker of warm water next to a besker of cold water so that they fough which two statements are true? DA Thermal energy will move from the warm water to the cold water Thermal energy will move from the air to the cold water. Thermal energy utill move from the air to the warm water Thermal energy till move from the cold water to the warm water ​

Answers

Explanation:

so sorry

don't know but please mark me as brainliest please

An object has density rho.

a. Suppose each of the object's three dimensions is increased by a factor of 2 without changing the material of which the object is made. Will the density change? If so, by what factor? Explain.
b. Suppose each of the object's three dimensions is increased by a factor of 2 without changing the object's mass. Will the density change? If so, by what factor? Explain.

Answers

Answer:

a. the density will not change

b. D' = 0.125 D

So, the density will change by a factor of 0.125

Explanation:

a.

Density is the material property and the value of density is constant for all solid materials. So, when the dimensions of the a solid are increased, while the material is same, then the material must be added to the object for increasing its dimensions. So, with the increase in the volume, the mass of the object also increases. And as a result the density of the object remains constant.

Since, here the material remains the same.

Therefore, the density will not change

b.

Density = mass/Volume

D = m/V   ------------ equation (1)

Now,

V = LWH   ----------- equation (2)

Now, if each dimension increases by a factor of 2, the volume becomes:

V' = (2L)(2W)(2H)

V' = 8 LWH

using equation (2)

V' = 8 V

So, for constant mass, density becomes:

D' = m/V'

D' = m/8V

using equation (1)

D' = D/8

D' = 0.125 D

So, the density will change by a factor of 0.125

(a) The density of the object will be reduced by one-eighth times on increasing the dimension by a factor of two and keeping the material constant.

(b)  With constant mass and increasing the dimensions by a factor of 2, the density will reduce by the factor of 1/8.

What is density of object?

The degree measure of the compactness of an object is known as the density of an object. Mathematically, it is expressed as the ratio of the mass of the object to its volume.

(a)

Let us consider an object of dimension 'a'. As per the above definition, the density of an object is,

[tex]\rho = \dfrac{m}{V}[/tex]

Here,

m is the mass of the object.

V is the volume of the object. And its value is, [tex]V = a^{3}[/tex].

So the density becomes,

[tex]\rho = \dfrac{m}{a^{3}}[/tex]  ..............................................................(1)

Now, if the dimensions of the object is increased by a factor of 2. Then, new density becomes,

[tex]\rho' =\dfrac{m}{(2a) \times (2a) \times (2a)}\\\\\\ \rho' =\dfrac{m}{8a^{3}}\\\\[/tex]

Substitute the value of equation (1) in the above expression as,

[tex]\rho' =\dfrac{1}{8} \times \dfrac{m}{a^{3}}\\\\\rho' =\dfrac{1}{8} \times \rho[/tex]

Thus, we can conclude that the density of the object will be reduced by one-eighth times on increasing the dimension by a factor of two and keeping the material constant.

(b)

The density of the material is equal to the ratio of the mass of the object (m) and the volume of the object (V). So, if the mass remains unchanged and the dimensions increased by the factor of 2, then the result will remain same as the above part.

Thus, we can conclude that with constant mass and increasing the dimensions by a factor of 2, the density will reduce by the factor of 1/8.

Learn more about the density here:

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Is your photograph of the Vietnam Veterans Memorial more better than mine?9. Choose the sentence that is written correctly, with NO ERRORS in the placement or use of modifiers.a. Between Richard and Elizabeth, who are cousins, Richard is the oldest.b. In my opinion, the most interesting fact is that bees examine the suns position to find their way home.c. Trail mixa hearty blend of nuts, seeds, and dried fruitsis one of the bestest foods to take on a hiking or camping trip.d. This color printer produced the fractal images beautiful.10. Choose the sentence that is written correctly, with NO ERRORS in the placement or use of modifiers. a. That column is collapsing because it is supporting more weight than any of the others.b. Alejandra, who is the most smart student in the senior class, will study for a year in Brazil before starting college.c. This spiderweb, which is covered with dew, is more lovelier than any other one in the garden.d. The wolf moth, which really does look like a wolf, is more large than these moths, said the entomologist. HELP ASAP DUE TODAY Cul ser POSIBLEMENTE el motivo por el cual el autor incluye que no todos los soldados prisioneros de guerra han olvidado como fueron tratados? *A. Para recordarle al lector que no todos los soldados tienen los mismos sentimientos acerca del asuntoB. Para recordarle al lector que la Segunda Guerra Mundial fue un evento que sucedi en el pasado entre pases que queran tomar el control de Estados Unidos.C. Para recordarle al lector que muchos soldados murieron a manos de los soldados japonesesD. Pare recordarle al lector que los japoneses y los estadounidenses no siempre han sido aliados y han tenido problemas en el pasado. Choose the correct completion.Prefiere nadar en _______ porque no le gustan las olas.Question 16 options:a) el marb) una piscinac) el bao Who was Hernan Cortes? Explain why suffrage had to change in our Country Susan wants to have $200,000 when she retires. She can afford to invest $400 monthly into an ordinary annuity which pays 7.6% compounded monthly. How many years will it take for her to achieve her goal Please hurry I need this fast. Who is the first vice president of the United States of America? Write an essay that analyzes the use of poetry in Through the Looking-Glass. It has to be 150 words at least. Please don't copy it from another person. 10 points or 20 points for brainliest Find the area of the circle. Use 22/7 as an approximation for py explain why glycogen makes a good storage molecule How do I solve this?-6x-1+5x^2 = 8x^2Thanks Cushion Sports accepted a credit card account receivable in exchange for $5,000 of services provided to a customer. The credit card company charges a 5% service charge. Recording the transaction in the company's accounting records will have what effect on the accounting equation?a. Increase assets and equity by $4,750.b. Increase equity by $5,000.c. Increase assets by $5,000.d. Decrease assets and equity by $250. Need help ASAP!!!!!! Follow the steps to solve the equation using the algebra tiles. 4x + (3) = x + 3. 1. Add 4 positive x-tiles to both sides and create zero pairs. 2. Add 3 negative unit tiles to both sides and create zero pairs. 3. Divide the unit tiles evenly among the x-tiles. x = and ice cream factory makes 240 quarts of ice cream in 2 hours. how many quarts could be made in 36 hours? What was that rate per day? Limiting the immigration of highly educated professionals hurts U.S. economic growth because:________. A. it restricts the supply of high human capital workers and the new ideas they could potentially generate. B. it restricts the knowledge base of the workforce. C. immigrants always cost less to hire than native workers do. D. both A and B.