A newly discovered planet has a radius twice as large as earth's and a mass five times as large. What is the free-fall acceleration on its surface?

Answers

Answer 1

Answer:

free-fall acceleration = 12.25 m/s²

Explanation:

Formula for free fall acceleration is given by the gravity equation;

g = Gm/r²

Where;

M is mass of the Earth

r is radius of the Earth

G is the gravitational constant

Now, that equation applies to the earth.

For this new planet, we are told that the mass = 5 × mass of earth

And radius = 2 × radius of earth.

Thus, free fall acceleration for this planet is;

g_p = G(5m)/(2r)²

g_p = (5/4)(Gm/r²)

Gravitational constant has a value of 6.674 × 10^(−11) N.m²/kg²

Mass of the earth = 5.972 × 10^(24) kg

Radius of the earth = 6378 km = 6378000

Thus;

g_p = (5/4)(6.674 × 10^(−11) × 5.972 × 10^(24))/(6378000²) = 12.25 m/s²


Related Questions

How is energy related to the change of state represented by the model?

Answers

Answer: atoms gain energy as a solid changes to a gas

Explanation:

Answer:

atoms gain energy as a solid changes to a gas

Explanation:

A basketball player runs a drill in which he runs the
length of the 30.0 meter court and back. He does
this three times in 50.0 seconds.
30. m
(Not drawn to scale)
1. The magnitude of the player's total displacement
after running the drill is
(1) 0.0 m
(2) 30.0 m
(3) 60.0 m
(4) 180 m

Answers

Answer: (1) 0.0 m

Explanation: In physics, displacement is defined as the change in position of a moving object. It is a vector, so has magnitude and direction, determined by a referential create to the system, i.e., the moving object. Mathematically, displacement is calculated by: [tex]\Delta x=x_{f}-x_{0}[/tex], in which:

[tex]x_{f}[/tex] is the final position;[tex]x_{0}[/tex] is the initial postion;[tex]\Delta x[/tex] is the diplacement;

For the basketball player, he runs 30m, 3 times, court and back. Assuming the initial position is 0:

[tex]\Delta x=0-0[/tex]

[tex]\Delta x[/tex] = 0.0

Since displacement is given by, only, the initial and final position and the player started at the initial point and ended at the initial point of the court, displacement is 0.

astronauts feel weightlessness, why?​

Answers

Answer:

They are weightless because there is no external contact force pushing or pulling upon their body.

Explanation:

Answer:

nope because the ground created a normal force

Explanation:

The movement of thermal energy from a warmer object to a cooler object is called a. heat. b. temperature. c. motion. d. momentum. Please select the best answer from the choices provided

Answers

The energy responsible for temperature is referred as thermal energy. the movement of thermal energy from a warmer object to a cooler object is called heat.

What is heat?

Heat is energy that is transferred from one body to another as a result of a temperature difference.

When two bodies at different temperatures come into contact, energy is transferred (i.e., heat flows) from the hotter to the colder.

Thus, the correct option is A.

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Describe the process by which a main sequence star turns into a black dwarf.
(draw a flow chart)

Answers

Answer:

A main sequence star that lacks the mass necessary to explode in a supernova so it goes KAbooM and then will become a white dwarf, a 'dead' star that has burned through all of its hydrogen and helium

eventually stop emitting light and heat and become black dwarfs.

Cell theory, the theory of evolution, the theory of relativity, and the big bang theory are all examples of scientific theories. The law of inertia, the law of universal gravitation, the laws of thermodynamics, and the law of independent assortment are all examples of scientific laws. What is the primary difference between scientific theories and scientific laws? A. Scientific theories are often discarded and replaced by completely different theories. B. Scientific laws have been proven without exception under certain stated conditions. C. Scientific laws can change over time as new technology is developed and new data is collected. D. Scientific theories are educated guesses still need to be verified through experimentation.

Answers

Answer:

B

Explanation:

Answer:

B. scientific laws have been proven without exception under certain stated conditions.

Explanation:

If the maximum acceleration that is tolerable for passengers in a subway train is 1.21 m/s2 and subway stations are located 810 m apart, what is the maximum speed a subway train can attain between stations

Answers

Answer:

v = 44.27 m / s

Explanation:

This is an exercise in kinematics since they ask the maximum speed of the train

           v² = v₀² + 2 a x

a train departs with zero initial velocity

           v² = 2 a x

           v = √ 2ax

calculate

           v = √ (2 1.21 810)

            v = 44.27 m / s

in this solution we have assumed that the train uses the entire distance with acceleration

I am primarily made of calcium. I protect and act as camouflage. I can be found as a filler in most household spices. What am I?

Answers

Answer:

Explanation:

Bones?

Bones are primarily made of calcium. Also, they protect the body, which is pretty much obvious. They also act as camouflage.

The only but I have is, can they be found as a filler in most household?

Asides that, bones pretty much fits in to the answer.

Greek engineers had the unenviable task of moving large columns from the quarries to the city. One engineer, Chersiphron, tried several different techniques to do this. One method was to cut pivot holes into the ends of the stone and then use oxen to pull the column. The 4-ft diameter column weighs 13200 lbs, and the team of oxen generates a constant pull force of 1500 lbs on the center of the cylinder G. Knowing that the column starts from rest and rolls without slipping, determine the velocity of its center G after it has moved 5 ft and the minimum static coefficient of friction that will keep it from slipping.

Answers

I believe this should be everything you need:)

The velocity is a vector quantity. The velocity of center G of the column after it has moved 5 ft is 5.18 ft.

From work Energy equation:[tex]U_{12} = T_2[/tex]

First, the potential energy of column,

[tex]U_{12} = \int\limits^5_0 {F} \, dx[/tex]

Here, the column moves from zero and displaces 5 ft.

[tex]F[/tex] - force = 1500 lbs

Thus,

[tex]U_{12 } = 7500\rm \ ft\ lbs[/tex]

Now, total kinetic energy at position 2,

[tex]T_ 2 = \dfrac 12 mv_2^{-2} + \dfrac 12 \vec I \omega_2^2[/tex]

Where,

m  = 372.67 slugs

r = 2 ft

Since,

[tex]\omega_2 = \dfrac {\vec V}{r}[/tex]

So,

[tex]7500 = \dfrac {12000}{2g}v_2^{-2}+\dfrac {12000}{4g}r^2 \times \dfrac {\vec V}{r}\\\\\vec v_2 = 5.18 \rm \ ft[/tex]

Therefore, the velocity of center G of the column after it has moved 5 ft is 5.18 ft.

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You are in an elevator that is accelerating you upward at 4.55 m/s^2. How much time does it take you to reach a speed of 11.0 m/s?​

Answers

Answer:

t = 2.01 seconds

Explanation:

It is given that,

The acceleration of the elevator is 4.55 m/s².

We need to find time taken by you to reach a speed of 11 m/s

The initial velocity of the person is equal to 0 (at rest). Let t is the time.

Using equation of kinematics as follows :

v = u +at

Acceleration = g-a and u = 0

So,

[tex]t=\dfrac{v}{g-a}\\\\t=\dfrac{11}{10-4.55}\\\\t=2.01\ s[/tex]

So, 2.01 seconds is taken to reach a speed of 11 m/s.

What is the number at the end of an isotope’s name? atomic number neutron number mass number electron number

Answers

Answer:

C) mass number

Explanation:

I got it correct on edge

Answer:  c

Explanation:

What is the relation between the gravitational force acting between any two bodies object with their masses and the distance between their centres?​

Answers

Answer:

The strength of the gravitational force between two objects depends on two factors, mass and distance. the force of gravity the masses exert on each other. ... increases, the force of gravity decreases. If the distance is doubled, the force of gravity is one-fourth as strong as before.

A robin in flight has 20.8 J of PE when it is 27.6 m high. What is the mass of the robin? (Unit = kg)

Answers

Answer:

[tex] \boxed{ \bold{ \purple{0.0769 \: kg \: }}}[/tex]

Explanation:

[tex] \sf{Potential Energy ( P.E ) \: = \: 20.8 \: joule}[/tex]

[tex] \sf{distance \: = 27.6 \: metre}[/tex]

[tex] \sf{mass = }[/tex] ?

[tex] \sf{acceleration \: due \: to \: gravity = 9.68 \: {metre \: per \: second}^{2} }[/tex]

Now, let's find the mass:

[tex] \sf{PE \: = mass \times gravity \: \times \: distance}[/tex]

plug the values

⇒[tex] \sf{20.8 = m \times 9.8 \times 27.6}[/tex]

Multiply the numbers

⇒[tex] \sf{20.8 = 270.48 \: m}[/tex]

Swap the sides of the equation

⇒[tex] \sf{270.48m = 20.8}[/tex]

Divide both sides of the equation by 270.48

⇒[tex] \sf{ \frac{270.48m}{270.48} = \frac{20.8}{270.48} }[/tex]

Calculate

⇒[tex] \sf{0.0769}[/tex] kg

Hope I helped!

Best regards!!

Answer:

[tex]\huge \boxed{\mathrm{0.0769 \ kg}}[/tex]

Explanation:

[tex]\displaystyle \sf Mass=\frac{Potential \ energy}{Acceleration \ of \ gravity \times Height}[/tex]

[tex]\displaystyle m=\frac{PE}{gh}[/tex]

[tex]\mathrm{We \ need \ to \ find \ the \ mass.}[/tex]

[tex]\displaystyle m=\frac{20.8}{9.8 \times 27.6}[/tex]

[tex]m= 0.0769[/tex]

A student walks 6 meters due east and then walks 10 meters due west from the history room to the reading room. The total distance travelled by the student is. m

Answers

Answer:

16

Explanation:

10+6=16

Several motorboats with the same mass are used in an experiment. The forces of the different motors versus their accelerations are graphed. What is the y-intercept of this graph? (1point) Does anyone know the answer?

Answers

Answer:

C. the velocity

Explanation:

Answer:

1.) As rocket mass increases, acceleration decreases

2.) The inverse of the mass of the boat

3.) Zero

4.) When the velocity increases

5.) It increases

Explanation:

took the test, all were correct

Calculate the pressure exerted on a level ground by a man whose mass is 75kg and the area of both his feet is 280 cm2. Give your answer in Pascal (Pa)

Answers

Given:-

Mass = 75 kg

280 cm² = 280/10000 m² = 28/1000 m²

To be calculated:-

Calculate the pressure exerted on a level ground.

Formula used:-

Pressure = Force/Area

Solution:-

First of all,

We have to find out Force ;

Force = m × g

Force = 75 kg × 9.8 m/s²

Force = 735 kg.m/s² [ 1 N = kg.m/s² ]

Force = 735 N

Now,

Pressure = Force/Area

Pressure = 735 / 28/1000

Pressure = 735 × 1000 / 28

Pressure = 735000 / 28

Pressure = 26,250 Pascal

A crowbar having the length of 1.75 m is used to balance a load of 500 N If the distance between the fulcrum and the load is 0.5 calculate MA and VR and efficiency

Answers

load distance*l=effort distance*e

o.5*500=x*1.25

250/1.25=x

200=x

ma=load/effort

500/200

2.5

vr=ed/ld

1.25/0.5

2.5

effciency=ma/vr*100

100%

The AC voltage source is connected to an inductor and a resistor in series. If the frequency of the source is increased the current in the circuit will _________.

Answers

Answer:

If the frequency of the source is increased the current in the circuit will decrease.

Explanation:

The current through the circuit is given as;

[tex]I = \frac{V}{Z}[/tex]

Where;

V is the voltage in the AC circuit

Z is the impedance

[tex]Z = \sqrt{R^2 + X_L^2}[/tex]

Where;

R is the resistance

[tex]X_L[/tex] is the inductive reactance

[tex]X_L[/tex] = ωL = 2πfL

where;

L is the inductance

f is the frequency of the source

Finally, the current in the circuit is given as;

[tex]I = \frac{V}{\sqrt{R^2 + (2\pi fL)^2} }[/tex]

From the equation above, an increase in frequency (f) will cause a decrease in current (I).

Therefore, If the frequency of the source is increased the current in the circuit will decrease.

If a true heading of 135° results in a ground track of 130° and a true airspeed of 135 knots results in a groundspeed of 140 knots, the wind would be from

Answers

Answer:

245.1° and 13 knots

Explanation:

The given parameters are;

The true heading = 135°

The resultant ground track = 130°

The true airspeed = 135 knots

The ground speed = 140 knots

Given that the true airspeed the ground speed and the wind direction and magnitude form a triangle, we have;

From cosine rule, we have;

a² = b² + c² - 2×b×c×cos(A)

Where

a = The magnitude of the wind speed in knot

b = The true airspeed = 135 knots

c = The ground speed = 140 knots

A = The angle in between the true heading and the resultant ground track heading = 5°

Which gives;

a² = 135² + 140² - 2×135×140×cos(5 degrees) = 168.84 knots²

a = √168.84 = 12.9934 ≈ 13 knots

We have;

135 × sin(135 degrees) - 140× sin(130 degrees) = -11.7868

135 × cos(135 degrees) - 140× cos(130 degrees) = -5.469

Tan(θ) = -11.8/-5.5 = 2.155

θ = tan⁻¹(2.155) = 65.108°

Given that the wind is moving in opposite direction (slowing down the airplane, we add 180°, to get

Therefore, the angle direction = 180 + 65.108 = 245.1

Therefore, we have;

245.1° and 13 knots

The modern standard of length is 1 m and the speed of light is approximately 2.99792 x 10^8 m/s. Find the time change in t for light to cover 1 m at the given speed.​

Answers

Explanation:

Distance = rate × time

1 m = (2.99792×10⁸ m/s) t

t = 3.33565×10⁻⁹ s

Light is the fastest thing in the universe. The speed of light is 2.99792 x 10⁸ m/s . The time that light takes to cover a distance of 1 meter is just 3.39  x 10⁻⁹seconds.

What is speed?

Speed is a physical quantity that means the distance in meter covered by a moving body in one second.  The speed of light is  2.99792 x 10⁸ m/s. Light from sun only takes 8 min to travel to the earth surface.

The speed of a moving particle or wave is mathematically the ratio of distance and time. Thus time of travel can be found out from the distance and speed.

It is given that the distance travelled by light is 1 m and its speed is 2.99792 x 10⁸ m/s. Thus the time taken to  travel is calculated as follows:

Time = distance/speed

         = 1 m/ (2.99792 x 10⁸ m/s)

         = 3.39  x 10⁻⁹s

Therefore, the time that light takes to cover a distance of 1 meter is just 3.39  x 10⁻⁹seconds.

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A company wants to build a new type of spaceship for transporting astronauts to the moon. What should the company do first?A. Test the prototype.B. Evaluate the design.C. Build a model.D. Identify needs.

Answers

Answer: Identify needs

As a company wants to build a new type of spaceship for transporting astronauts to the moon. The company should identify the needs first. The correct option is D.

What is spaceship?

A spacecraft is a vehicle or machine that is designed to travel through space.

Spacecraft, a type of artificial satellite, are used for a variety of purposes, including communications, Earth observation, meteorology, navigation, space colonization, planetary exploration, and human and cargo transportation.

In addition to science instruments, a spacecraft has a number of critical components such as an engine, power subsystem, steering system, and communications system.

The majority of these systems are housed in the service module, while the science instruments are housed in the payload module.

A company wishes to construct a new type of spaceship capable of transporting astronauts to the moon. The company should start by identifying the needs.

Thus, the correct option is D.

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Does anybody have an answer key to the nightmare land lab activity for earth systems?? I need help I dont get it:(

Answers

Answer: the answer key is in the pdf files below

Explanation:

Can scientific ideas and concepts be changed? Why or why not?

Answers

Answer:

Yes

Explanation:

Scientific concept is a scientific theory or law that gives proof of how and why a natural event or process occurs.

Yes, scientific ideas and concepts can be changed because the research never stop and when scientists come with a new theory which is more strong than old theory, the old theory is required to be changed.

For example: In the scientific concept of classification of biodiversity, earlier organisms were classified into binomial system including plant and animal kingdoms but now we have five kingdoms that includes monera, protists, fungi,  plant and animal kingdoms.

Which statement correctly applies to a spinning mobile that changes its velocity over a period of time?

A. The combination of all forces acting on it is zero.

B. No net force is acting on it.

C. Forces are acting on it.

D. A nonzero net force is acting on it.

Answers

Answer: D

Explanation:

First, we know that the acceleration is defined as the ratio of change of the velocity.

This means that, if we have a change in the velocity, then we also have acceleration.

And by Newton's second law we know that:

F = m*a

Force equals mass times acceleration.

So if we have acceleration different than zero, then we should also have force different than zero.

So we must have a nonzero net force acting on it.

The correct option is D

Hello!

----------

The statement in which correctly applies to a car that changes its velocity over a period of time would be "a nonzero new force is acting on it."

Hope this helps! Also, if you need help with the rest of this assignment, I make a study set on Quizlet that may help you out with the other question. Thanks and good luck!

Quizlet - Unit 6: Lesson 3 Newton's Second Law

h t t p s : / / q u i z l e t . c o m / 7 3 7 7 7 5 3 2 0 / u n i t - 6 - l e s s o n - 3 - n e w t o n s - s e c o n d - l a w - f l a s h - c a r d s / ? n e w

A student is conducting an experiment to determine how far a ballwill roll down a ramp based on the angle of incline what are the three possible controls for the experiment

Answers

Answer:ball, ramp, and angle

Explanation: these are the three things that are controls because you can control them

a taller trees has greater chance to fall down than a shorter tree during storm​

Answers

Answer:

Hi! This is true.

Explanation:

During a storm, high winds are persistent. Taller trees have a longer length than short trees, making the structural integrity lesser. Shorter trees are closer to the ground and have a small chance of falling.

Hope this helped!

In case of parallel plate capacitor, if the place separation is doubled and plate area is halved, the capacitance becomes A)4 times B)one half C)one forth D)zero

Answers

Answer:

C)one forth

Explanation:

  The capacitance of a capacitor is defined as the charge stored per unit potential change.

using the expression for the capacitance

[tex]C= \frac{eA}{d}[/tex]

where e=  electrostatic constant

A = the area of the plate

d = separation distance.

Given the problem statement

1.  If the place separation is doubled

2. plate area is halved.

 effecting the conditions in our expression for the capacitance we have

[tex]C= \frac{e\frac{A}{2} }{2d}\\\\2dC=e\frac{A}{2}[/tex]

cross multiplying we have

[tex]4dC=eA[/tex]

dividing both sides by 4d we have

[tex]C=\frac{eA}{4d}[/tex]

The capacitance is 1/4 the initial value

The capacitance should become C)one forth

The capacitance of a capacitor:

It could be defined by the charge stored per unit with respect to the potential change.

Here the following expression should be used.

[tex]C = eA \div d[/tex]

Here e=  electrostatic constant

A = the area of the plate

d = separation distance.

So in the case when place separation is doubled and plate area is halved

So,

[tex]C = \frac{e\frac{A}{2} }{2d}\\\\2Dc = e\frac{A}{2}\\\\ 4Dc = eA[/tex]

Now if we divide both the sides by 4d so

[tex]C = \frac{eA}{4D}[/tex]

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calculate the electric field acting on a proton so that proton remains stationary in a space a)2.04*10^-2 b)1.02*10^-7

Answers

Answer:

No electric field will exist.

Explanation:

Given the following:

In other to for the proton to remain stationary in space, the electric field acting on the proton will be 0 or no electric field will exist. From the formulae ;

F = qE ; where q = charge of the particle

E = electric field intensity

The electric field force = F

At a stationary position in space, the electric field intensity = 0

F = qE = q * 0 = 0.

Also according to Heisinberg, measuring the momentum and position of a quantum object becomes more and more uncertain when measured simultaneously.

Here, one of position or momentum is know, measuring the electric field becomes very uncertain.

The escape velocity of a rocket from the earth is 11kms^-1. Taking the acceleration due to gravity as 9.8ms^-2, calculate the radius of the earth.

Answers

Answer:

6.37*10^6 m

Explanation:

We know that,

g = GM/R²

values given to us

acceleration due to gravity = g = 9.8 m/s²

Mass of the earth is= 6.4*10^24

G = 6.67*[tex]10^{-11}[/tex]

implementing

9.8 = 6.67*10^-11 * 6*10^24/R^2

9.8 = 40.02 * 10^13/ R^2

R^2 = 4002/98 * 10^12

R^2 = 40.83* 10^12

R= 6.37*10^6 m   (approximately)

when a constant force acts upon an object the acceleration of the object varies inversely with its mass. when a certain constant force acts ipon an objec twith mass 21khm the accerlation of the object is 3 m/2^2. If the same force acts upon another object whose mass is 9kg. What would this object's acceleration be?

Answers

Explanation:

When a constant force acts upon an object the acceleration of the object varies inversely with its mass.

[tex]a\propto \dfrac{1}{m}[/tex]

or

[tex]\dfrac{a_1}{a_2}=\dfrac{m_2}{m_1}[/tex]

If m₁ = 21 kg, a₁ = 3 m/s², m₂ = 9 kg

We need to find a₂

So,

[tex]a_2=\dfrac{m_1a_1}{m_2}\\\\a_2=\dfrac{21\times 3}{9}\\\\a_2=7\ m/s^2[/tex]

So, if mass is 9 kg, its acceleration is 7 m/s².

Answer:

A AND B

Explanation:

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Before turning in a test, it would be best to What is the relationship between the people of Salems religion and their eventual feelingsof regret over the trials? A mother and her newborn have just been transferred to the postpartum unit from labor and delivery. Which infant safety education should be provided as soon as mom and baby are settled into their room? a. Wash your hands before touching the newborn.b. Send the newborn to nursery to be monitored during the night.c. All client identification bands should remain in place until discharge.d. Do not let anyone remove the infant from your sight while you are in the hospital.e. Check the identification of staff and if there is a question of validity, call the nursing station. Which economic principle closely relate to your own personal beliefs and why? Capitalism, Socialism, or Communism? If f(x) = 4x + 1, find f(3). The pressure at the bottom of a full barrel of water is Poriginal . Determine what happens to the pressure when the radius or height of the barrel is changed and water is added to make the barrel full again. which symbol will make |-8|?|-10|> For what value or values of b is it true that |b| = -b write difference between autocratic and the democratic government?any five A quality control manager is concerned about variability of the net weight of his companys individual yogurt cups. To check the consistency, he takes a random sample of sixteen 6-ounce yogurt cups and finds the mean of the sampled weights to be 5.85 ounces and the sample standard deviation to be 0.2 ounce. Test the hypotheses H0: 6 Ha: < 6 at the 5% level of significance. Assume the population of yogurt-cup net weights is approximately normally distributed. Based on the results of the test, will the manager be satisfied that the company is not under-filling its cups? State the decision rule, the test statistic, and the managers decision. Pls pls pls helppp helppp plssss helppp A piece of rope falls out of a hot airballoon from a height of 5,184 ft. If theequation for height as a function of timeis h(t) = -16t2 - initial height where t istime in seconds and h(t) is height in feet,how many seconds will it take for thepiece of rope to hit the ground? I need help, I'm completely lost Elena plans to ride her bicycle 5 miles to a park and then ride several times around a loop in a the park that is 3 miles long. Then she'll take the same way home. she wants to ride a total of 22 miles. The inequality 3t + 10 22 models this situation, where t is the number of times Elena went around the loop. Solve the inequality. How many times does Elena need to go around the loop? (blank) was the basis of the Babylonian code of law of ancient Mesopotamia which had afoundation base on the idea of an eye for an eye"Hammurabi's CodeJustinian's CodeBabylonian CodeMesopotamian Code Cell theory, the theory of evolution, the theory of relativity, and the big bang theory are all examples of scientific theories. The law of inertia, the law of universal gravitation, the laws of thermodynamics, and the law of independent assortment are all examples of scientific laws. What is the primary difference between scientific theories and scientific laws? A. Scientific theories are often discarded and replaced by completely different theories. B. Scientific laws have been proven without exception under certain stated conditions. C. Scientific laws can change over time as new technology is developed and new data is collected. D. Scientific theories are educated guesses still need to be verified through experimentation. According to naming rules, the types of compound that use prefixes in their names are ________. Hernan Cortes _____________________. a. established Spanish presence in the Americas. b. created gold fever in Europe. c. defeated the mighty Aztecs. d. all of the above do you know the answer Read the passage.Which type of government was in place in Gerald's townbefore the town council was established?O a dictatorshipO a direct democracyO an absolute monarchyO a representative democracyGerald lives in a town that has experienced a populationboom in recent years. Until last year, all of the town'smajor decisions and policies were made at townmeetings. All of the town's residents were invited tothese meetings, and every resident was allowed todebate and vote on the decisions that were made. Lastyear, due to the town's expanding population, thetownspeople voted to end the town meetings and toinstead elect town council members who would beresponsible for hearing citizens' concerns and attendingregular council meetings. Major decisions and policiesfor the town are now made only by these elected councilmembers at town council meetings.