A boy on a bicycle rides in a circle of radius ro at speed vo. If the boy now rides at a radius equal to half the initial radius ro, by what approximate factor must he change his speed in order to have the same radial acceleration

Answers

Answer 1

Answer:

The speed must change by [tex]\frac{1}{\sqrt{2}}[/tex] factor in order to have the same radial acceleration.

Explanation:

The radial or centripetal acceleration is given by:

[tex] a_{c} = \frac{v^{2}}{r} [/tex]

Where:

v: is the speed = v₀

r: is the radius = r₀

[tex] a_{c} = \frac{v_{0}^{2}}{r_{0}} [/tex]    (1)

If the radius is now equal to half the initial radius the speed must be:

[tex]a_{c} = \frac{v^{2}}{r_{0}/2}[/tex]    (2)

By equating equation (1) and (2):

[tex] \frac{v_{0}^{2}}{r_{0}} = \frac{v^{2}}{r_{0}/2} [/tex]  

[tex]v^{2} = \frac{v_{0}^{2}}{2}[/tex]

[tex] v = \frac{v_{0}}{\sqrt{2}} [/tex]      

Therefore, the speed must change by [tex]\frac{1}{\sqrt{2}}[/tex] factor in order to have the same radial acceleration.      

 

I hope it helps you!                      


Related Questions

What are the sources of error in photoelectric effect experiment?​

Answers

Answer:

In this experiment the major sources of error were due many different factors, some of which included: restraints on the Voltage sensor, restraints on the actual apparatus, and faulty averages of the stopping potential.

Explanation:

The main sources of error in this experiment were caused by a variety of variables, including restrictions on the Voltage sensor, restrictions on the actual device, and inaccurate averages of the stopping potential.

What is the Photoelectric effect?

When a substance absorbs electromagnetic radiation, a phenomenon known as the photoelectric effect causes electrically charged particles to be discharged from or within the material. When light strikes a metal plate, the action is frequently described as the ejection of electrons from the plate. In a more general definition, the substance may be solid, liquid, or gas, the radiant energy may take the form of infrared, visible, or ultraviolet light, X-rays, or gamma rays, and the discharged particles may include ions (electrically charged atoms or molecules) in addition to electrons.

Because of the perplexing concerns, it presented about the nature of light—particle versus wavelike behavior—that were finally answered by Albert Einstein in 1905, the phenomenon was critically important in the development of modern physics.

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What would be Kelley's weight be in newtons if her mass was 70 kilograms

Answers

Answer:

Kelly's weight would be 688.47 Newtons.

Explanation:

1 Kilogram would be 9.81 Newtons.

It all depends on where Kelley is at the moment.

-- If she's on Mars, she weighs 229 N.

-- If she's on the Moon, she weighs 113N.

-- If she's on Earth, she weighs 686 N.

-- If she's in a space capsule coasting from one body to another, then there's no instrument that can measure any weight of her.

So it completely depends on where she happens to be at the moment.

Which way will the object accelerate if the forces given are the following
FORCE 1
FORCE 2



24 N 30 N

15 N 15 N

45 N 25 N

80 N 67 N

56 N 47 N

Answers

Explanation:

the world of introductory physics, Newton's second law is one of the most important laws you'll learn. It's used in almost every chapter of every physics textbook, so it's important to master this law as soon as possible.

We know objects can only accelerate if there are forces on the object. Newton's second law tells us exactly how much an object will accelerate for a given net force.

\Large a=\dfrac{\Sigma F}{m}a=

m

ΣF

A box with a mass of 5.8 kg is lifted from the garage floor and placed on a shelf. If the box gains 145 J of
potential energy, how high is the self?

Answers

Answer:

2.27

Explanation:

Potential energy =mgh so from there u can substitute the values

Write the expression for the frequency of a mass m on a spring moving horizontally. Suppose that k is the spring constant. Express your answer in terms of some or all of the variables k, m, g.

Answers

Answer:

[tex]f=1/2\pi *\sqrt{k/m}[/tex]

Explanation:

This is the equation of the frequency of a spring in the horizontal direction.

The loudness of a sound is the waves amplitude



True or false

Answers

Answer:

true i think

Explanation:

The amplitude of a sound wave determines its loudness or volume. A larger amplitude means a louder sound, and a smaller amplitude means a softer sound. In Figure 10.2 sound C is louder than sound B. The vibration of a source sets the amplitude of a wave.

Answer:

True

Explanation:

Look up the definition of amplitude

1. How much work does the human heart do if it uses 180 N of force to pump blood 0.3 meters to the

lungs?

Answers

1- wrote the formula

W=Fd

2- state the given

F=180N d=0.3 m

3- plug in and solve

W=Fd
W=(180)(0.3)
W=39 j

Work does the human heart do if it uses 180 N of force to pump blood 0.3 meters to the lungs 39 joule.

What is work?

Work in physics is the energy that is transferred to or from an item when a force is applied along a displacement. In its simplest form, it equals the product of the force's magnitude and the distance travelled for a constant force directed in the direction of motion.

Work = force x distance. In units, Joules = Newtons x meters.

W = F.d

F = 180 N d=0.3 m

W = F.d

W = (180)(0.3)

W = 39 j

Work does the human heart do if it uses 180 N of force to pump blood 0.3 meters to the lungs 39 joule.

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What principle of fitness means that if you stop exercising your fitness level will decrease?
A.
Reversibility
B.
Overload
C.
Specificity
D.
Individuality

Answers

Answer:

A. Reversibility

Explanation:

Because if you don't progress then you do the opposite, you reverse.

Sorry if my explanation is confusing it made sense in my head i just didn't know how to put it.

hope this help. ;)

Answer:

A. Reversibility

Explanation:

Which factor is related to seat belt use in teens?

A.Speed limit on roadways
B.Type of vehicle
C.Alcohol use
D.Weather conditions

Answers

Answer:

Explanation:

C

Answer:

Explanation:

Alcohol use C

Calculate how much energy (in Joules) it takes for a bird of 134.6 g to fly 34.8 m to the top of a tree from the ground. Calculate the value assuming only vertical displacement. Recall the gravitational constant is 9.81 m/s2.

Answers

Answer:

45.51 J

Explanation:

Energy in relation to vertical displacement = P.E.

P.E. (potential energy) = mgh

m = 134.6g = 0.1346 kg

g = 9.81m/s²

h = 34.8m

since, P.E = mgh = 0.1346 × 9.81 × 34.8

= 45.51J

this is for physics, i need help fast!!

Answers

Speed = distance / time
S= 40 000m / 5400s
S= 7.41m/s

A 6.0-kg object moving at 5.0 m/s collides with and sticks to a 2.0-kg object. After the collision the composite object is moving at 2.0 m/s in a direction opposite to the initial direction of motion of the 6.0-kg object. Determine the speed of the 2.0-kg object before the collision. a. 23 m/s b. 15 m/s c. 11 m/s d. 8.0 m/s e. 7.0 m/s

Answers

Answer:

a) 23 m/s

Explanation:

Assuming no external forces acting during the collision, total momentum must be conserved, as follows:

       [tex]p_{o} = p_{f} (1)[/tex]

The initial momentum p₀, can be written as follows:

       [tex]p_{o} = m_{1} * v_{1o} + m_{2}* v_{2o} = 6.0 kg * 5.0 m/s + 2.0 kg * v_{2o} (2)[/tex]

The final momentum pf, can be written as follows:

        [tex]p_{f} = (m_{1} + m_{2} )* v_{f} = 8.0 kg* (-2.0 m/s) (3)[/tex]

Since (2) and (3) are equal each other, we can solve for the only unknown that remains, v₂₀, as follows:

       [tex]v_{2o} = \frac{-6.0kg* 5m/s -8.0 kg*2.0m/s}{2.0kg} = \frac{-46kg*m/s}{2.0kg} = -23.0 m/s (4)[/tex]

This means that the 2.0-kg object was moving at 23 m/s in a direction opposite to the 6.0-kg object, so its initial speed, before the collision, was 23.0 m/s.

The speed of the 2.0-kg object before the collision will be 23 m/s.Option A is correct.

What is the law of conservation of momentum?

According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.

The given data in the problem is;

m₁ is the mass of objthe ct = 6.0-kg

v₁ is the speed moving = 5

m₂ is the mass of object 2 = 2.0 Kg

V is the final speed = 2.0 m/s

v₂ is the speed of the 2.0-kg object before the collision =?

According to the law of conservation of momentum;

Momentum before collision =Momentum after collision

[tex]\rm m_1v_1 + m_2v_2 = V(m_1 + m_2)\\\\(6 \times 5) + (2 \times v_2) = -2.0 \times (8) \\\\ \rm v_2 = \frac{-46}{2.0} \\\\ \rm v_2 =-23.0\ m/sec[/tex]

Hence the speed of the 2.0-kg object before the collision will be 23 m/s.Option A is correct.

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2 A car rounding a bend travels in an arc of a circle.
a What provides the centripetal force?
b Is a larger or a smaller centripetal force required if
(i) the car travels faster,
(ii) the bend is less curved,
(iii) the car has more passengers?

Answers

Answer:

a) the centripetal force causing the cat to turn in a circular path is due to friction between the car's tyres and the surface of the road.

b)

1) a larger centripetal force is required if the car travels faster

2) a larger centripetal force is needed when the bend is less curved.

3) when a car has more passengers, the mass of the car increases, therefore, a larger force is required to move the car.

Explanation:

The friction between the car's tire and the surface provides centripetal force and if the car travels faster, the bend is curved, or the car has more passengers it requires a larger centripetal force.

What is Centripetal force?

When an object is moving in a curve path then a force is acting radically in the object this force is called centripetal force, this force helps to maintain the object in the curve e.g. if a car is moving in a well, so the centripetal force is responsible, so the car is not falling. The SI unit used to represent centripetal force is Newton.

A. The friction between the car's tire and the curve surface is responsible for providing the centripetal force, and it also depends on the car's speed.

B.  If a car is traveling faster than a larger centripetal force is required to maintain the curve path of the car, means if the friction between the tire and surface decreases the centripetal force also decreases.

When the bend is less curved, the radius of the curve increase and thus require more centripetal force.

When people in the car increase then the mass of the car also increases so due to this the gravitation force is now more on the car so more centripetal force I required to maintain the curve path of the car.

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A force of 29.4 N is required to pull a 100 kg ice block at constant speed along an ice surface. Find the coefficient of kinetic friction for ice on ice.

Answers

Answer:

The value is  [tex]\mu_k = 0.03[/tex]

Explanation:

From the question we are told that

  The force applied on the ice is [tex]F = 29.4 N[/tex]

   The mass of the ice block is  [tex]m = 100 \ kg[/tex]

Generally for the ice block to move at constant speed , the force applied on it must be equal to the kinetic frictional force which is mathematically represented as

         [tex]F_F = m* g * \mu_k[/tex]

=>      [tex]F = F_F = m* g * \mu_k[/tex]

=>      [tex]29.4 = 100 * 9.8 * \mu_k[/tex]

=>       [tex]\mu_k = 0.03[/tex]

Look at the equation below. What does the u represent?

Answers

Answer:

but you didn't give the equation the question is incomplete

Answer:

Initial velocity

Explanation:

how is atmospheric and water pressure different?​

Answers

Answer: Electric charges

Explanation: Atmospheric pressure isn't able to crush you because it doesn't result from weight or surface area. Atmospheric pressure, also known as weather patterns, results from escaping atmospheric gases coming together and creating electric charges. Oceanic pressure in caused from high compression of the upper layers of the water, producing thousands of tons of liquid weight crushing the bottom layer. This is how they are different forms of pressure.

A yo‑yo with a mass of 0.0800 kg and a rolling radius of =2.70 cm rolls down a string with a linear acceleration of 5.70 m/s2.

Calculate the tension magnitude in the string and the angular acceleration magnitude of the yo‑yo. What is the moment of inertia of this yo‑yo?

I ended up calculating the angular acceleration to be 211.11 but I'm unsure how to calculate the other parts of the problem.

Answers

Explanation:

Given that,

Mass, m = 0.08 kg

Radius of the path, r = 2.7 cm = 0.027 m

The linear acceleration of a yo-yo, a = 5.7 m/s²

We need to find the tension magnitude in the string and the angular acceleration magnitude of the yo‑yo.

(a) Tension :

The net force acting on the string is :

ma=mg-T

T=m(g-a)

Putting all the values,

T = 0.08(9.8-5.7)

= 0.328 N

(b) Angular acceleration,

The relation between the angular and linear acceleration is given by :

[tex]\alpha =\dfrac{a}{r}\\\\\alpha =\dfrac{5.7}{0.027}\\\\=211.12\ m/s^2[/tex]

(c) Moment of inertia :

The net torque acting on it is, [tex]\tau=I\alpha[/tex], I is the moment of inertia

Also, [tex]\tau=Fr[/tex]

So,

[tex]I\alpha =Fr\\\\I=\dfrac{Fr}{\alpha }\\\\I=\dfrac{0.328\times 0.027}{211.12}\\\\=4.19\times 10^{-5}\ kg-m^2[/tex]

Hence, this is the required solution.

A student throws a 0.1 kg dart at an angle of 20° to the horizon. Then the student changes the throwing angle. Which angle
will maximize the distance the dart will travel before it returns to its original height?

Answers

Answer:

The student must change the launch angle from 20º to 45º to maximize the horizontal distance.

Explanation:

The dart experiments a parabolical motion, which is the combination of horizontal uniform motion and vertical uniform accelerated motion due to gravity, in which effects from air friction and Earth's rotation can be neglected. The equations of motion are described below:

[tex]x = x_{o}+v_{o}\cdot t \cdot \cos \theta[/tex] (1)

[tex]y = y_{o}+v_{o}\cdot t\cdot \sin \theta +\frac{1}{2}\cdot g\cdot t^{2}[/tex] (2)

Where:

[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Initial coordinates of the dart, measured in meters.

[tex]x[/tex], [tex]y[/tex] - Current coordinates of the dart, measured in meters.

[tex]v_{o}[/tex] - Initial velocity of the dart, measured in meters per second.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

[tex]t[/tex] - Time, measured in seconds.

[tex]\theta[/tex] - Launch angle, measured in sexagesimal degrees.

According to the statement, we need to determine the launch angle when [tex]\Delta x = x-x_{o} > 0[/tex], [tex]\Delta y = y-y_{o}= 0[/tex] and [tex]v_{o} > 0[/tex]. Then, we obtain the following system of linear equations:

[tex]\Delta x = v_{o}\cdot t \cdot \cos \theta[/tex] (1b)

[tex]v_{o}\cdot \sin \theta + \frac{1}{2}\cdot g \cdot t = 0[/tex] (2b)

By (2b), we clear time as follows:

[tex]t = -\frac{2\cdot v_{o}\cdot \sin \theta}{g}[/tex]

And it is applied in (1b) afterwards:

[tex]\Delta x = -\frac{2\cdot v_{o}^{2}\cdot \sin\theta \cdot \cos\theta}{g}[/tex]

[tex]\Delta x = -\frac{v_{o}^{2}\cdot \sin 2\theta}{g}[/tex] (3)

Where [tex]\Delta x[/tex] is the horizontal distance, measured in meters.

In order to determine the launch angle such that distance is maximized, we require the first and second derivatives of the function. That is:

First derivative

[tex]\Delta x' = -\frac{2\cdot v_{o}^{2}\cdot \cos 2\theta}{g}[/tex] (4)

Second derivative

[tex]\Delta x'' = \frac{2\cdot v_{o}^{2}\cdot \sin 2\theta}{g}[/tex] (5)

By equalizing (4) to zero, we find the following trigonometric equivalence:

[tex]\cos 2\theta = 0[/tex]

[tex]2\cdot \theta = 90^{\circ}[/tex]

[tex]\theta = 45^{\circ}[/tex]

A launch angle of 45º is a critical point of (3). If we know that [tex]g< 0[/tex] and [tex]\theta = 45^{\circ}[/tex] in (5), then [tex]\Delta x'' < 0[/tex], which means that critical point determined above leads to a maximum distance. Then, the student must change the launch angle from 20º to 45º to maximize the horizontal distance.

Which of the following is true if you stub (hit) your toe on a stone step?

Answers

Could we have the choices? If we have those we could help you!   εїз

Approximately how many Sun's are in the Milky way?

Answers

Answer:

there are uncountable sun are there but sun is star therefore there are uncountable stars are there

Answer:

1 but For many years scientists have studied our own solar system. But until the last few years, we knew of no other solar systems. This may seem surprising, as the Sun is one of about 200 billion stars (or perhaps more) just in the Milky Way galaxy alone.

Explanation:

Make a rule: How does the energy needed to move an electron to a higher energy level compare to the energy emitted when the electron moves back to the lower energy level

Answers

Answer:

Explanation:

Generally, the energy required to move an electron from one energy level to another energy level is referred to as quantum energy. An atom will absorb energy when it's electron(s) move from a lower energy level (ground state) to a higher energy level (excited state) and will emit energy when it's electron(s) move from a higher energy level to a lower energy level.

Since, electrons do not stay in the excited state forever, they indeed prefer the ground state and thus will always return to the ground state. When an electron thus return to the ground state, it sheds off the excess energy that took it to the excited state thus it can be said that more energy is required to take an electron to it's excited state.

Answer:

Explanation:

When an atom absorbs energy it will go up x number levels. When it admits energy it will go down to its previous energy level and emit the same exact amount of energy that was absorbed.

What are the elements needed for effective teamwork?

Answers

communication, tolerance, patience

Answer:

The five elements of successful teamwork

-Communication: Effective communication is the most important part of teamwork and involves consistently updating each person and never assuming that everyone has the same information. ...

-Delegation: Teams that work well together understand the strengths and weaknesses of each team member. ...

-Efficiency: ...

-Ideas: ...

-Support:

If 400 N of force was applied to a rock and it had an acceleration of 20 ms2 , what is the mass of rock?

Answers

Answer:

20 kg

Explanation:

The mass of the rock can be found by using the formula

[tex]m = \frac{f}{a} \\ [/tex]

f is the force

a is the acceleration

From the question we have

[tex]m = \frac{400}{20} = \frac{40}{2} \\ [/tex]

We have the final answer as

20 kg

Hope this helps you

How does the formation of ice in the freezing compartment of a

refrigerator demonstrate the particulate nature of matter?

A. As the particle energy of matter decreases, the motion of the atoms in a

given space decreases

B. As the particle energy of matter decreases, the motion of atoms in a given

space increases

C. As the particle energy of matter increases, the motion of atoms in a given

space decreases

D. As the particle energy of matter increases, the motion of atoms remains

unchanged

Answers

Answer:

The correct option is A

Explanation:

Generally, when the temperature of matter is low and starts to cool, the kinetic energy of it's particles decreases which causes the motion of the atoms within it's particles to also decrease. When the kinetic energy of the particles decreases, it causes the matter to form a mass by coming together since it's atoms will no longer be able to move freely as before (just like in solids) - this is the reason for the formation of ice in the freezing compartment.

From the explanation above, it can be deduced that the correct option is A

How do forces affect the motion of an object?

Unbalanced forces acting on an object can change that object's speed, direction or both.
Balanced forces acting on an object can change that object's speed, direction or both.
Balanced forces cause objects to accelerate.
Vectors pull objects in directions

Answers

Explanation:

Unbalanced Forces in Action

Unbalanced forces can change the motion of an object in two ways. ... Second, when unbalanced forces act on a moving object, the velocity of the object will change. Remember that a change in velocity means a change in speed, direction or both speed and direction.

These systems help warn drivers when they deviate from their intended path of travel,
a)
Drowsiness alert systems
Lane departure warning systems
c) Electronic stability control systems
Adaptive cruise control systems

Answers

Answer:

lane departure warnings

Explanation:

A 20-Kg child is on a swing attached to 3.0 m-long chains. The child swings back and forth, swinging out to a 60-degree angle. (This is the angle that the chains make with the vertical.) What is the childs maximum speed on the swing

Answers

Answer:

 v = 29.4 m / s

Explanation:

For this exercise we can use the conservation of mechanical energy

Lowest starting point.

          Em₀ = K = ½ m v²

final point. Higher

          [tex]Em_{f}[/tex] = U = m g h

Let's use trigonometry to lock her up

          cos 60 = y / L

          y = L cos 60

Height is the initial length minus the length at the maximum angle

           h = L - L cos 60

           h = L (1- cos 60)

energy is conserved

         Em₀ = Em_{f}

          ½ m v² = mgL (1 - cos 60)

         v = 2g L (1- cos 60)

 

let's calculate

          v² = 2 9.8 3.0 (1- cos 60)

          v = 29.4 m / s

Which region is located between 60-90N and 60-90S?
Group of answer choices

Tropics

Tropical Rainforest

Polar

Mid-Lats

Answers

Answer:

Polar

Explanation:

Took the test

A child on roller skates undergoes as acceleration of 0.6m/s^2 due to a horizontal net force of 24N . What is the mass of the child?

Answers

Answer:

40Kg

Explanation:

F=m×a

24N÷0.6m/s^2=40

What amount of heat is absorbed by 257 g of water heated from 18° C to 63° C? The specific heat of water is 4.18 J/g°C.

Answers

Answer:

Q = 48341.7 Joules.

Explanation:

Given the following data;

Mass, m = 257g

Initial temperature, T1 = 18°C

Final temperature, T2 = 63°C

Specific heat capacity of water, c = 4.18 J/g°C.

*To find the quantity of heat absorbed*

Heat capacity is given by the formula;

[tex] Q = mcdt[/tex]

Where;

Q represents the heat capacity or quantity of heat. m represents the mass of an object. c represents the specific heat capacity of water. dt represents the change in temperature.

dt = T2 - T1

dt = 63 - 18

dt = 45°C

Substituting the values into the equation, we have;

[tex] Q = 257*4.18*45[/tex]

Q = 48341.7 Joules.

Therefore, the amount of heat absorbed is 48341.7 Joules.

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Marshall can buy 5 T-shirts for $55.If each shirt costs the same amount, what is the cost of 3 T-shirts?The cost of 3 T-shirts is $. 1)Re-write the sentence as a Conditional Statement: "Parallel lines have the sameslope."2)Re-write the sentence as a Conditional Statement: "Acute angles have ameasure less than 90 degrees." It cost $36.75 for 3 tickets to visit science center. How much dose it cost for 1 A coin falling through a vacuum loses no energy to friction, and yet after it hits the ground it has lost all its potential and kinetic energy. Which statement best explains why the law of conservation of energy is still valid in this case I WILL GIVE BRANLIEST TO WHOEVER ANSWERS THIS AND GETS IT RIGHT!!!!!!!!!!!!!!!!!!!Because the economy of Texas depended on the sale of cash crops and other agricultural crops before 1860, all of the following occurred EXCEPT: a. Slavery increased in Texas. b. Texas passed laws keeping African Americans under the ownership of wealthy owners. c. Manufacturing factories flourished. d. Fewer slaves were able to gain their freedom than in the past. Find the slope of a line parallel to each given line Find the slope of the line contains P1 and P2 Interpret this slopeP1=(-1,3 and p2 =(5,-1) A recipe for sparkling lemonade calls for 4 tablespoons of lemonade mix and 12 cups of sparkling water. Find how many tablespoons of lemonade mix it takes per cup of sparkling water. While Sally is still a minor, she wrecks the car she purchased from Bally. Can she still disaffirm the contract? Must she return Bally to? Please help!!!What does the section show about Hammurabi's Code?A. Every person was treated equally, but the laws were vagueB. Some people were treated equally, but not everyone was. C. Its laws are still used today in most countries of the world. D. Its laws do not resemble the laws of any other civilization what is a ligniteplz help me 4. A small rocket with a mass of 2000 g (hint: grams) accelerates at 8.3 m/s/s as it launches into the sky. How much force is acting on the rocket? A stack of 500 pieces of paper is 1.875 inches tall. Compute the thickness of each piece of paper. (Enter your numerical answer only. Do not include units. How does a sperm cell get to an egg?A. It travels throughwater.B. It is carried by apollinator. Explique los riesgos sistemticos cmo pueden afectar la determinacin de los flujos. can someone pls help me "write a claim about why honesty is a good trait for students" There are two major political parties in the US: the Democratic and the __________ parties.A.GreenB.LabourC.RepublicanD.Libertarian Simplify: X^-3/x^0(Trying to get more characters) Question #7Choose the era that best matches the statement given.The ____ immediately followed the Great Depression. 1. You purchase a car using a $15,000 loan with a 5% simple interest rate. (a) Suppose you pay the loan off after 4 years. How much interest do you pay on your loan? Show your work. (10 points) (b) Suppose you pay the loan off after 2 years. How much interest do you save by paying the loan off sooner? Show your work. ( 5 points)