A roller coaster has a loop in which the centripetal acceleration equals 9.8m/s2 . Of the tangential speed of the roller coaster cars is 15-7 m/s

Answers

Answer 1

Answer:

25.152m

Explanation:

Compete question;

A roller coaster has a loop in which the centripetal acceleration equals 9.8m/s² . If the tangential speed of the roller coaster cars is 15.7 m/s, find its radius.

centripetal acceleration a = v²/r

v is the tangential speed

r is the radius

Given

v = 15.7m/s

a = 9.8m/s²

9.8 =  15.7²/r

9.8r = 15.7²

r = 15.7²/9.8

r = 246.49/9.8

r = 25.152m

Hence the radius of the coaster is 25.152m


Related Questions

please help me answer this​

Answers

I think it’s C, because both of them are pulling and are at equal sides

PLEASE PLEASE HELPPPP

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Answer: 8 volt battery in each device.

I think the units is 7.

Explanation:

Units 7 is the answers

what is sound produced by

Answers

Answer:

Sound is produced by an object vibrating and creating a pressure wave.

Explanation:

TRUE OR FALSE
1. TRUE OR FALSE: The higher the frequency, the closer the waves are together and the LOWER the energy carried by the waves will be.
2. TRUE OR FALSE: The greater the force that produces a wave, the greater the amplitude of the wave and the greater the energy carried by the wave.
3. TRUE OR FALSE: In a transverse wave the higher the wave, the LOWER the amplitude
4. Wavelength is a measure of the distance from the crest on one wave to the crest on the very next wave.
5. TRUE OR FALSE: Speed is a measure of the distance a wave travels in an amount of time
6. TRUE OR FALSE: As a wave enters a different medium, the wave’s speed changes. Waves travel at different speeds in different media
7. TRUE OR FALSE: The highest point of a transverse wave is the crest and the lowest point is called a trough.

Answers

Answer:

Explanation:

true true fauls true fauls fauls

1 . The higher the frequency, the closer the waves are together and the LOWER the energy carried by the waves will be. FALSE

2. The greater the force that produces a wave, the greater the amplitude of the wave and the greater the energy carried by the wave. TRUE

3. In a transverse wave the higher the wave, the LOWER the amplitude FALSE

4.Wavelength is a measure of the distance from the crest on one wave to the crest on the very next wave, TRUE
5. Speed is a measure of the distance a wave travels in an amount of time TRUE

6. As a wave enters a different medium, the wave’s speed changes. Waves travel at different speeds in different media TRUE

7. The highest point of a transverse wave is the crest and the lowest point is called a trough. TRUE

What is Wave ?

A wave is a disturbance in a medium that carries energy and  as well as momentum. Energy can be transferred in the form of wave in the medium. there are two types of wave,

longitudinal wave : in which, vibration of the medium (particle) is parallel to propagation of the wave as shown in the fig.1. Sound wave is a longitudinal wave.

Transverse wave : in which, vibration of the medium (particle) is perpendicular to propagation of the wave as shown in the fig.2. Light wave is a longitudinal wave.

1. E = hυ where υ is a frequency which shows direct relation between Energy E and frequency υ. Hence it is false.

2. True

3. In a transverse wave the higher the crest in the wave, the higher the amplitude. FALSE

4. True

5. True, Speed = Distance÷Time

6. due to change in refractive index, velocity changes TRUE

7.True

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Meg has two glasses of grape juice. Glass A has 80 grams of juice at 30 °C. Glass B has 80 grams of juice at 50 °C.

Which of the following steps will make the kinetic energy of the molecules of the juice in both glasses equal?
Decrease the temperature of juice in Glass A by 20 °C
Increase the temperature of juice in Glass A by 20 °C
Decrease the temperature of juice in Glass B by 30 °C
Increase the temperature of juice in Glass B by 30 °C

Answers

Answer:

Increase the temperature of juice in Glass A by 20 °C

Answer:

lil baby

Explanation:

What is the gravitational potential energy of a 250 kg rock on top of a 200 meter cliff?

Answers

Answer:

500000 approx........

...

calculate the ground pressure of a 90kg gas cylinder the diameter of the cylinder is 1.1 m

Answers

Answer:

P = 928.09 Pa

Explanation:

Given that,

Mass of a gas cylinder, m = 90 kg

The diameter of the cylinder, d = 1.1 m

Radius, r = 0.55 m

We need to find the ground pressure. The pressure is equal to force per unit area. So,

[tex]P=\dfrac{F}{A}\\\\P=\dfrac{mg}{\pi r^2}\ (A\ is\ area\ of\ base)\\\\P=\dfrac{90\times 9.8}{\pi \times (0.55)^2}\\\\P=928.09\ Pa[/tex]

So, the ground pressure is 928.09 Pa.

An airplane moving horizontally at 150 m/s drops a package from an altitude is 490 m. How long does it
take the package to reach the ground? How far, horizontally, from the spot over which it was dropped
does the package land?

Answers

Answer:

640

Explanation:

cause you should just add the 2

It takes 10 second the package to reach the ground.

The package reaches the ground after 10 second and  it was dropped 1500 m far from the package landing.

Given parameters:

Altitude of the plane; h = 490 m.

Initial horizontal velocity of the plane; u = 150 m/s.

We have to find; time taken by  the package to reach the ground: t =?

And,  horizontal distance covered by the package before land; d = ?

We know that a free falling object has acceleration equal to acceleration due to gravity = g = 9.8 m/s².

So,

h = 1/2gt²

⇒ t = √(2h/g) = √(2×490/9.8) second = 10 second.

In this time,

horizontal distance covered by the package before land; d = ut

= 150 m/s × 10 s

= 1500 m.

Hence, the package reaches the ground after 10 second and  it was dropped 1500 m far from the package landing.

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We have a 10 m resistance wire of the isachrom 60 type. The resistance of this wire is 5.65 Ω / m at 20 ° C. The wire has a diameter of 0.50 mm.



a. Calculate the resistivity of isachrom 60 at 20 ° C.

Answers

Answer:

[tex]\rho=1.10\times 10^{-7}\ \Omega[/tex]

Explanation:

Given that,

The length of the resistance wire, l = 10 m\

The  resistance of this wire is 5.65 Ω/m

The diameter of the wire, d = 0.5 mm

Radius, r = 0.25 mm = 0.00025 m

We need to find the resistivity of isachrom 60 at 20°C. The formula for the resistance of a wire is given by :

[tex]R=\rho\dfrac{l}{A}\\\\\rho=\dfrac{RA}{l}\\\\\rho=\dfrac{R\pi r^2}{l}\\\\\rho=\dfrac{5.65\times \pi \times (0.00025)^2}{10}\\\\\rho=1.10\times 10^{-7}\ \Omega[/tex]

The resistivity of the wire is [tex]1.10\times 10^{-7}\ \Omega[/tex].

A radio transfers 270 j of energy electrically, 94.5 j is transferred by sound. Work out the efficiency of this radio. Give your answer as a decimal

Answers

Answer:

35%

Explanation:

Given data

Amount of energy transferred (Input) = 270J

Amount of energy converted to sound (Output)=  94.5J

Efficiency = output/input*100

Efficiency= 94.5/270*100

Efficiency=0.35*100

Efficiency=35%

Hence the efficiency is 35%

2. A bullet was shot by a gun with an initial speed of 260 m/s and is fired at an angle of 30 to the ground. a. How much is the value Vy at the top of the bullet's trajectory? b. Calculate the time taken by the bullet to reach its maximum altitude. c. Deduce the total time taken by the bullet in the air. d. Calculate the range of the bullet.

Answers

Answer:

Explanation:

a )

the value Vy at the top of the bullet's trajectory will be zero . At the top , only the horizontal component Vx will exist .

b )

At the top Vy = 0

initial velocity will have vertical component = 260 sin30 = 130 m /s

acceleration = - g = - 9.8

v = u - gt

o = 130 - 9.8 t

t = 13.26 s .

c )

Total time = Time of ascent + time of descent

= 13.26 + 13.26 = 26.52 s

d )

Range R = u² sin2Ф / g , where u is initial velocity , Ф is angle of throw , g is acceleration due to gravity .

R = 260² sin 2 x 30 / 9.8

= 5973.8 m .

1. Any event or situation that evokes a response is a
a. positive reinforce
b. cognitive map
c. stimulus
d. model

Answers

stimulus. Because its the only thing I can really think of that evokes.

If a person runs 68m in 8s, what is his speed?

Answers

Answer:

19.01396 mph.

Explanation:

It is fine to wear maong pants when preforming physical activity write true or false

Answers

nono definitely not (false)
not true. otherwise known as false

How do the metal aluminum coils in an air conditioner help keep a house cool? They insulate the house from outside thermal energy. They conduct thermal energy from inside the house and release it outside the house. They insulate the surrounding air from indoor thermal energy. They conduct thermal energy from outside the house and release it inside the house.

Answers

Answer:

They conduct thermal energy from inside the house and release it outside the house.

Explanation:

An air conditioner works to by conducting thermal energy or heat from inside the house and releasing this heat energy outside the house, thus making inside of the house cooler than the outside.

Warm air from inside the house is circulated around the evaporator fins. The refrigerant liquid is made to pass through the evaporator coil made of aluminum ,where the coils exchanges the heat it absorbs from the air surrounding it with the refrigerant. Aluminum metal is used in making the evaporator coils because it is a good conductor of heat. The heat absorbed by the refrigerant coverts it to vapor, which is then reconverted into liquid by the condenser removing the heat absorbed from inside the outside by means of a fan. As the heat is removed from the air, the air is cooled and blown back inside the house. This process is repeated several times until the desired temperature is attained inside the house.

Answer:

B is the answer

Explanation:

pls give me brainliest

ASAPP!!!!!!
The diagram below shows four parts of a wooden pencil.
Wood body
Plastic grip
Rubber eraser
Metal band
Of the labeled parts of the pencil, which is the best conductor
of electricity?

A. Wood body
B. Metal band
C. Plastic grip
D. Rubber eraser

Answers

I would say the plastic grip because glass, wood, and plastic are all good conductors of electricity

what is fast carbon and what is slow carbon
please dont search it up need this right now extra points!​

Answers

Answer:

the fast carbon cycle follows the movement of carbon through living (biotic) components of an ecosystem. This occurs faster because life moves more quickly. The fast carbon cycle focuses primarily on the biosphere, while the slow carbon cycle is more involved with the hydrosphere, lithosphere and atmosphere.

Explanation:

What is a material that electricity cannot flow through called?

Answers

Answer:

Things that electricity cant flow through are called insulators.

10. A student walking in the hallway sees a spill. When this happens, they slow down from 8.3 ft/s to a pace of 3.3 ft/s in 4 seconds. What is their acceleration?​

Answers

Answer:

Acceleration = -1.33ft/s²

Explanation:

Given the following data;

Initial velocity = 3.3ft/s

Final velocity = 3.3ft/s

Time, t = 4s

To find the acceleration;

In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.

Mathematically, acceleration is given by the equation;

[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]

Where,

a is acceleration measured in [tex]ms^{-2}[/tex]v and u is final and initial velocity respectively, measured in [tex]ms^{-1}[/tex]t is time measured in seconds.

Substituting into the equation, we have;

[tex]a = \frac{3.3 - 8.3}{4}[/tex]

[tex]a = \frac{-5.3}{4}[/tex]

Acceleration = -1.33ft/s²

The value is negative because the final velocity is lesser than the initial velocity i.e the student is decelerating.

A rock is thrown horizontally off a cliff with an initial velocity of 15 m/s. How high was the cliff if the rock lands 22 m from the base of the cliff?

Answers

Answer:

22 m

Explanation:

Answer:

cliff height = 10.55 m

Explanation:

Remarks

This is one of those questions that defies belief. The final vertical velocity is the same as if you just dropped the rock, which is amazing.Another amazing fact is that the horizontal speed has no acceleration. And  amazing fact number three is the the vertical initial speed is 0.And finally, the time taken to go horizontally = time to go vertically.

Solution

Time

So the time taken is d = r * t  

Remember, this formula can only be used when there is no acceleration.

d = 22 meters

r = 15 m/s

t = ?

t = d / r

t = 22 / 15

t = 1.467

Height of the Cliff

vi = 0 (vertially)

a = 9.8 m/s^2

t = 1.467 seconds    The time horizontally and vertically is the same.

d = ?

Formula

d = vi*t + 1/2 a t^2

Solution

d = 0 + 1/2 * 9.8 * 1.467^2

d = 10.55 meters.

need help its do today

Answers

Answer:

the answers for the first 3 are

C

A

C

Explanation:

can u answer the two questions on the paper? (use the pictures for help obvi)

Answers

Answer:

1) E has the greatest mass because it has the most dots

2) B has the smallest mass because it has less dots.

A train travels 100 km east and then 75 km west. What is the magnitude of
its displacement?

Answers

Answer:

displacement = 100 - 75 = 25 km east

find the odd one out: asteroids on the asteroid belt, a comet, the moon or Saturn

Answers

Answer:

Explanation:

A change in an object’s motion—such as Xander speeding up on his scooter—is called acceleration. Acceleration occurs whenever an object is acted upon by an unbalanced force. The greater the net force acting on the object, the greater its acceleration will be, but the mass of the object also affects its acceleration. The smaller its mass is, the greater its acceleration for a given amount of force. Newton’s second law of motion summarizes these relationships. According to this law, the acceleration of an object equals the net force acting on it divided by its mass.

Saturn kakanansnqllqkshdbv

A child bouncing a ball. Which law of motion does the situation describe?​

Answers

Kinetic energy evades the ball jumping higher than the kid

Since the universe is infinite, the probability of events and reoccurrence is infinite. So that means that there is a chance, if not 100% chance, that SOMEWHERE there is another earth, with another you, living the same life, at the same time. What are your thoughts about this??? that's so crazy to me

Answers

Answer:

That insane it might be true because  a planet sometimes quoted to be an Earth 2.0 or Earth's Cousin based on its characteristics; also known by its Kepler Object of Interest designation KOI-7016.01) is an exoplanet orbiting the Sun-like star Kepler-452 about 1,402 light-years (430 pc) from Earth in the constellation Cygnus.

Explanation:

Un bloque de 3 kg en reposo se deja libre a una altura de 5 m sobre una rampa curva y sin rozamiento. Al pie de la rampa se encuentra un resorte de constante k = 400 N/m, como se muestra en la fig. El objeto desliza por la rampa y llega a chocar contra el resorte comprimiéndolo una distancia x antes de que quede en reposo momentáneamente. Determinar: a) La velocidad con la que el bloque alcanza al resorte. ____________________ b) La distancia x que el bloque comprime al resorte. __________________ c) La velocidad con la que el bloque es expulsado por el resorte. ____________________ d) La altura que alcanza sobre la parte curva. ________________ e) ¿Alcanzará la misma altura si la rampa no está libre de rozamiento? ___________________

Answers

Answer:

a) La velocidad del bloque cuando llega al resorte es de aproximadamente 9,9 m / s

b) La distancia a la que se comprime el resorte es de aproximadamente 0,86 m

c) La velocidad con la que el resorte expulsa el bloque es de aproximadamente 9,9 m / s

d) La altura que alcanza el bloque es de 5 metros.

e) El bloque no alcanzará la misma altura si la rampa no está libre de fricción

Explanation:

a) Los parámetros dados del bloque son;

La masa del bloque, m = 3 kg

La altura a la que se coloca el bloque, h = 5 m

La constante de resorte, k = 400 N / m

La aceleración debida a la gravedad, g = 9,8 m / s²

La energía potencial de un cuerpo, P.E. = m · g · h

Por tanto, la energía potencial inicial del bloque, P.E. se da como sigue;

P.E. = 3 kg × 9,8 m / s² × 5 m = 147 julios

P.E. = 147 julios

La energía cinética del bloque al pie de la rampa, K.E. = 1/2 · m · v²

Dónde;

v = La velocidad del bloque cuando llega al resorte

Por lo tanto, para el bloque dado tenemos;

K.E. = 1/2 · m · v² = 1/2 × 3 kg × v²

Por el principio de conservación de la energía, tenemos;

El PE. del bloque en reposo a una altura de 5 m = La energía cinética al pie de la rampa. K.E.

∴ P.E. = K.E.

147 J = 1/2 × 3 kg × v²

v² = 147 J / (1/2 × 3 kg) = 98 m² / s²

v = √ (98 m² / s²) = 7 · √2 m / s

v = 7 · √2 m / s ≈ 9,9 m / s

b) La energía recibida por el resorte comprimido, E = 1/2 · k · x²

Dónde;

k = La constante del resorte = 400 N / m

x = La distancia a la que se comprime el resorte

Por el principio de conservación de la energía, tenemos;

La energía recibida por el resorte comprimido, E = La energía potencial inicial del resorte, P.E.

∴ E = 1/2 · k · x² = P.E.

De lo que tenemos;

E = 1/2 × 400 N / m × x² = 147 julios

x² = 147 Julios / (1/2 × 400 N / m) = 0,735 m²

x = √ (0,735 m²) = 0,7 · √ (3/2) m ≈ 0,86 m

La distancia a la que se comprime el resorte = x ≈ 0.86 m

c) La velocidad con la que el resorte expulsa el bloque se indica a continuación;

La energía en el resorte = 1/2 · k · x² = La energía cinética dada al bloque, 1/2 · m · v²

∴ 1/2 · k · x² = 1/2 · m · v²

∴ La velocidad con la que el bloque es expulsado por el resorte, v = La velocidad con la que el bloque llega al resorte = 7 · √2 m / s

La velocidad con la que el resorte expulsa el bloque, v = 7 · √2 m / s ≈ 9,9 m / s

d) La altura que alcanza el bloque también viene dada por la siguiente relación anterior;

P.E. = K.E.

∴ m · g · h = 1/2 · m · v²

v = 7 · √2 m / s

De donde tenemos h = La altura inicial del bloque en la rampa = 5 metros

e) El bloque no alcanzará la misma altura si la rampa no está libre de fricción porque se utilizará energía para superar la fuerza de fricción

a) La velocidad final del bloque es aproximadamente 9.903 metros por segundo.

b) El resorte se deforma 0.858 metros.

c) Por el principio de la conservación de energía y sabiendo la ausencia de fuerzas disipativas, la velocidad del objeto expulsado del resorte es aproximadamente 9.903 metros por segundo.

d) Por el principio de la conservación de energía y si existieran fuerzas disipativas, la altura máxima sería menor a la hallada en el punto a).

a) Conforme a la situación de este problema, la energía cinética traslacional final ([tex]K[/tex]), en joules, es igual a la energía potencial gravitacional inicial ([tex]U[/tex]), en joules.

[tex]U = K[/tex] (1)

Por las definiciones de las energías cinética traslacional y potencial gravitacional expandimos la ecuación anterior:

[tex]m\cdot g\cdot h = \frac{1}{2}\cdot m\cdot v^{2}[/tex] (1)

Ahora despejamos la velocidad de esa ecuación:

[tex]v = \sqrt{2\cdot g\cdot h}[/tex]

Donde:

[tex]m[/tex] - Masa del bloque, en kilogramos.[tex]g[/tex] - Aceleración gravitacional, en metros por segundo al cuadrado.[tex]h[/tex] - Altura inicial del bloque, en metros.[tex]v[/tex] - Velocidad final del bloque, en metros por segundo.

Si sabemos que [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] y [tex]h = 5\,m[/tex], entonces la velocidad final del bloque es:

[tex]v = \sqrt{2\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (5\,m)}[/tex]

[tex]v\approx 9.903\,\frac{m}{s}[/tex]

La velocidad final del bloque es aproximadamente 9.903 metros por segundo.

b) Por el principio de conservación de la energía, la energía cinética traslacional inicial es igual a la energía potencial elástica final, cuyas fórmula es la siguiente:

[tex]\frac{1}{2}\cdot k\cdot x^{2} = \frac{1}{2}\cdot m \cdot v^{2}[/tex] (2)

Where:

[tex]k[/tex] - Constante de resorte, en newtons por metro.[tex]x[/tex] - Deformación del resorte, en metros.

Ahora despejamos la deformación del resorte:

[tex]x = \sqrt{\frac{m}{k} }\cdot v[/tex] (3)

Si sabemos con [tex]k = 400\,\frac{N}{m}[/tex], [tex]m = 3\,kg[/tex] y [tex]v \approx 9.903\,\frac{m}{s}[/tex], entonces la deformación del resorte es:

[tex]x = \sqrt{\frac{3\,kg }{400\,\frac{N}{m} } }\cdot \left(9.903\,\frac{m}{s} \right)[/tex]

[tex]x \approx 0.858\,m[/tex]

El resorte se deforma 0.858 metros.

c) Por el principio de la conservación de energía y sabiendo la ausencia de fuerzas disipativas, la velocidad del objeto expulsado del resorte es aproximadamente 9.903 metros por segundo.

d) Por el principio de la conservación de energía y si existieran fuerzas disipativas, la altura máxima sería menor a la hallada en el punto a).

Invitamos cordialmente a ver este problema sobre el principio de conservación de la energía: https://brainly.com/question/16582988

Which two statements are true about the wave shown?
A. The wave could be transmitting light. B. The wave is a transverse wave.
C. The wave is a mechanical wave.
D. The wave could be transmitting sound.​

Answers

Answer:

c and d

Explanation:

The wave shown in the figure is Sound waves. The sound wave is a mechanical wave. Hence, options C and D are correct.

What are sound waves?

Sound is traveled by means of vibrations of particles in the medium. Sound waves require a medium to propagate. The energy propagation by means of adiabatic loading and unloading is called sound or acoustic waves.

The sound waves produce compression and rarefaction in the air. The sound waves are called Longitudinal waves because the direction of propagation is parallel to the vibration of particles.

Sound waves are considered only as waves because they exhibit a wave nature. Light has both properties of wave and particle. Light is an electromagnetic wave and it is transverse in nature.

The sound waves require a medium like air, water, solids, etc for propagation. Hence it is called Mechanical waves. Light waves do not require a medium to propagate. From the given wave pattern,  it exhibits the property of sound waves.

Hence, the correct option is C) the wave is a mechanical wave, and D) the wave could be transmitting sound.

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Help with physics please! Offering a bunch of points!

Answers

3.0m because the graph starts going at a constant pace of 1m per second

Look at the image provided, it shows forces acting on a box.
What is the NET FORCE on the box?

Answers

your answer should be C
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PLEASE IT WOULD MAKE MY DAY!!!!!!!*Snow Day**Bill 12 years old*Joe Bills friend 11 years old*SCENE 1*TIME, PLACE, BASIC SETTING, ETC.**Narrator,It was a cold winter morning in the middle of January our Characters Bill and Joe(they are BFs)are having fun during a snow day when they hear a loud noise.*Bill*What was that Noise?*Joe* I have no idea lets go find out.*Bill*Yeah it sounded like it came form the forest over there. Lets go!.*Narrator* The to children wonder into the woods in search of the noise they have heard.BANG!!!.*Bill* WHOA!!!!!!Joe* (Whispers) Be quite theres something up there.Bill* (Says in a low voice)Its an alien spaceship!*SCENE ENDS*Scene 2Bill* Lets hide behind this bush.*Joe.*Wow thats so weird are you sure?*Bill.*Im sure. (Whispers)Uh-oh I think the Alien heard us!Joe* What makes you think that?Bill* Look!Narrator* Joe looks over Bill to see the alien fitted in what looks like armor wobbles over to where they are hiding.Joe* We got to get out of here!!They Jump out of the bush and the alien looks frightened. It turns around and begins to run wabble away.Joe*Wait we didn't mean to scare you!!Bill* I think hes more afraid of us then we are of him.Joe* Yeah, but weve got to help him hes not from here.Bill* I agree and maybe we will be able to make this Duo a Trio.Joe*Agreed Lets go!Narrator* The Duo try to find clues on where the alien has went.Bill* Joe, its getting late and we cant find him.Joe*Here!! A footprint!Bill* Nice it looks like he went into the caveJoe*There he is! In the cave.Narrator* The boys Cautiously enters the cave where they hear a slight rumbling and a CRASH.Bill*(Coughs)Joe are you ok?Joe*(Wheezes) Yeah but I think the cave fell in.Bill* Yeah.Joe* Wheres the Alien?Bill* I think that he is on the other side of the wall.Joe*We have to save him!Bill* I know but its pitch black we are going to need to get supplies.Narrator* The boys return to Joes house where they go into Joes Bedroom Where they got 2 Flashlight Glowsticks and Walkie Talkies.Joe* I think that we are ready to save a alien!END OF ACT 2Scene 3Narrator*The Boys return to the cave to help the alien. While Joe goes on top of the hill where the entrance to the cave is located while Bill goes in the cave to try find an opening.Bill* I think that I may have found a small hole but I cant seem to slip through it.Joe* Ok Ill keep looking up here if I find any holes ill let you know.Bill* Ok, AHHHHHHH!!!!!!Joe* Bill? Bill! Are you ok!?!Bill* Yeah Yeah Im fine but there a bigger problem now.Joe*Whats That?Bill* The Aliens stuck under a rock!!(The alien squirms and wiggles but cant get free.)Joe*Hold on Im on my way!Narrator*Bill looks down at the alien and sees he wont survive much longer so Bill takes matters into his own hands.Bill* I have to save this alien!(Bill Puts his hand on each side of the rock and begins to pull as hard as he cans)Bill*(Grunts) Come On!!Narrator* The rock begins to rise slowly but Bills strength is fading.Bill*(Whimpers) I cant hold it much longerJoe* Hang in there Im on my way!(The alien sees the effort and determination in Bills face and begins to help in the lifting of the rock)Bill* All..most..there..Narrator*As Bill and the alien strain to lift the Huge rock Joe runs as fast as he could to get back to where the where and just as the had used the last amount of there strength trying to lift the rock.Joe leaps into action and with there combined strength the alien shimmies out of underneath the rock. And with a loud thud the rock falls. But everything beings to shake For The cave is CAVING IN!!Bill* (Yells) WEVE GOT TO GET OUT OF HERE!!Joe*WE WILL NEVER MAKE IT!(The alien grabs the two boys and takes off running bolt at top speed out of the cave just as the roof falls in. The alien sets them down and bows as if it was saying thank you.)Bill*(Pants)Whoa what just happened?Joe*(Mumbles) I have no idea.(The alien looks at the two boys and pats them gently and there heads. As if he was saying Good Bye. The alien bolts out of sight and soon they see the alien ship fly over there heads out into the unknown universe.)Bill* The alien saved our lives.Joe* Yeah.(As they talk about what has just happened something falls from the sky)(Clash!)Bill* What is it?Joe*Its a figurine...an alien figurine. But what does it mean?Bill*I think it means never to forgetJoe* Yeah, Ill never forget today.Narrator* They boys pretured from the forest and walk toward the sunset arms hung over one another toward the place they call home.Bill*Yeah, me neither. But we can both agree it was a great snow day.*MOVIE/PLAY ENDS* Which expression is equivalent to -3(m + 5)?A: m - 15.B: -3m + 5.C: -3m - 15.D: - 15m.