Un objeto de 1.50 kg se mantiene 1.20 m sobre un resorte vertical relajado sin masa con una constante de fuerza de 320 N/m. Se deja caer el objeto sobre el resorte. ¿Cuánto comprime al resorte?

Answers

Answer 1

Answer:

El resorte se comprime 0.38 m.

 

Explanation:

La distancia de compresión del resorte se puede calcular por conservación de la energía:

[tex] \Sigma E_{i} = \Sigma E_{f} [/tex]

[tex] E_{p} = E_{e} [/tex]

[tex] mgh = \frac{1}{2}kx^{2} [/tex]   (1)

En donde:

[tex]E_{i}[/tex] y [tex]E_{f}[/tex]: son las energías inciales y finales

[tex] E_{p}[/tex]: es la energía potencial gravitacional

[tex]E_{e}[/tex]: es la energía potencial elástica

m: es la masa = 1.50 kg

g: es la gravedad = 9.81 m/s²

h: es la altura

k: es la constante de fuerza = 320 N/m    

x: es la distancia de compresión

Dado que el objeto está 1.20 m sobre el resorte, entonces h es:

[tex] h = 1.20 + x [/tex]  (2)

Entonces, introduciendo la ecuación (2) en (1) y resolviendo para x tenemos:

[tex] \frac{1}{2}kx^{2} - xmg - 1.20mg = 0 [/tex]  

[tex] 160x^{2} - 14.72x - 17.66 = 0 [/tex]  

Resolviendo la ecuación cuadrática anterior tenemos:

x₁ = -0.29 y x₂ = 0.38

Tomando el valor positivo entonces, el resorte se comprime 0.38 metros.

Espero que te sea de utilidad!  


Related Questions

Complete these sentences to identify the types of interference. The type of interference that increases the energy of the resulting wave is called interference. The type of interference that results in a loss of energy is called interference.

Answers

Answer:

the result is an increase in energy, this is the so-called CONSTRUCTIVE INTERFERENCE.

resulting energy is zero, this is the so-called DESTRUCTIVE INTERFERENCE

Explanation:

When we have an interference process the optical paths of the two rays are added, when the incident rays arrive in phase the result is an increase in energy, this is the so-called CONSTRUCTIVE INTERFERENCE.

When the rays arrive out of phase a half wavelength the resulting energy is zero, this is the so-called DESTRUCTIVE INTERFERENCE

Answer:

its constructive and destructive

Explanation:

i got it right

The release of energy by the nucleus of an atom as a result of nuclear fission is radiant energy

True or false

Answers


Nuclear Energy
Energy released by nuclear fission or fusion.
So I think the answer is true.

Calculate the tangential speed of a yo-yo twirled at the end of a 4 meter long string at 2 revolutions per second.

Answers

Answer: 50 m/s

Explanation: speed v = 2· pi·n·r = 2· 3.14· 2 s^-1· 4 m

How do low energy electromagnetic waves compare with high energy electromagnetic waves? Select all
А Low energy waves have higher crests than high energy waves.
B
Low energy waves have lower frequencies than high energy waves.
С
Low energy waves have higher amplitudes than high energy waves.
D
Low energy waves have higher frequencies than high energy waves.
E
Low energy waves have shorter wavelengths than high energy waves.
F
Low energy waves have longer wavelengths than high energy waves.

Answers

Answer:

Explanation:

The different types of radiation are defined by the the amount of energy found in the photons. Radio waves have photons with low energies, microwave photons have a little more energy than radio waves, infrared photons have still more, then visible, ultraviolet, X-rays, and, the most energetic of all, gamma-rays

421+0 is greater than or is less than 4210l​

Answers

Answer:

greater than

Explanation:

thats my answer

in desert the day are very hot and night are very cold ,why?​

Answers

Answer:

Sand doesn't hold heat well. The sun heats up the ground during the day and when night comes along, the sand loses all it's heat

A compact car, mass 664 kg, is moving at 19 km/h toward the east. What is the car's momentum in kg x m/s?

Answers

Answer:

3504.4 kgm/s

Explanation:

First, convert km/hr to m/s:

19 km/hr x 1000m/1km x 1/60min x 1/60s = 5.28 m/s

p = mv

p = (664 kg)(5.28 m/s) = 3504.4 kgm/s

which class of lever do spoon and scissors belong to?​

Answers

In a Class One Lever, the Fulcrum is located between the Load and the Force.

Answer:

spoon and scissors belong to first class lever.

hope it is helpful to you

why are the effects of collision different if the forces on the object is the same

Answers

Answer:

When two objects collide, a force is exerted on each object. The two forces are in opposite directions but the same strength. Even though the force on each object in a collision is the same strength, the objects will have different velocity changes if their masses are different.

Explanation:

*sighs* can u please give me brainliest-..... I'm literally crying....lol but PLEASE BRAINLIEST PLEASEEEE T_T

A man walks a distance of 2 m every second.
aj What speed is he travelling at?
b) How far wil he have walked in:
5 s
50 s
2 min
2 hr
Please help :(.

Answers

2 mins for sure depending on the distance for walking
He is traveling at 2m per second.

5s = 10m
50s = 100m
2 min = 240m
2 hr = 14,400m


What is the acceleration of a car that goes from Om/s to 60m/s in 6 seconds?

Answers

10m/s !!!!!!!!!!!!!!!!!!!!!!!

That’s 10x6 which = 60 so yeah

Just have fun

Have you ever listen to this?? its sooo good

Answers

Answer:

no i haven't. i will

Explanation:

Riley measured the distance her friend Blakely ran on a straight track every 2 seconds. What was Blakely's average speed? What was her acceleration?

Answers

Answer:

Average speed = 25m/s

Acceleration = 12.5m/s^2

Explanation

Let the distance covered by Riley be 50m

Average speed = Distance/Time

Average speed = 50/2

Average speed = 25m/s

Acceleration = Speed/time

Acceleration = 25/2

Acceleration = 12.5m/s^2

Note that the value of the distance was assumed

pls help will mark brainliest

Answers

Answer: a!! Bc 10x2=20!

Explanation:

Answer:

20N

Explanation:

F=m*a

F=10*2

F=20N

.....

10. What are the only types of passes allowed in floor hockey?​

Answers

The only type of passages allowed in floor hockey includes push passes and the wrist shot

Good Nicky and Evil Nicky do 800 J of work to move shelly's tank 5 meters across the floor. How much force did you use? if it took 6 seconds to slide the box what was the power used?​

Answers

Answer:

The force used is 160 N, and the power used is 133 W.

Explanation:

Because the formula for force is Work/Distance, the answer in that case would be 800J/5m, and that would give you an answer of 160 N. For Power, the formula is Work/Time, and for that the expression would be 800/6, and that would give you 133 W as the power used.

36. What are the necessary condition for work to done
A). Force must be applied on a body
B). The applied force causes the body to displace
C). The force and the displacement must be parallel or in the same direction
D). All of the above

-
YO​

Answers

Answer:

A

Explanation:

Anything can be doing work at any time. Even when your sleeping work is being done so no part of the body needs to displace before work can be done.

. While at the dentist’s office, Marion noticed the x-ray images of her teeth looked very
different than a photograph image of her teeth. She recalled x-ray images are
produced from x-rays and photograph images are produced from visible light waves.
What can be inferred about the energy difference between x-rays and visible light
waves?
A. X-rays have higher energy than visible light waves.
B. Visible light waves have higher energy than x-rays.
C. X-rays and visible light waves have the same energy.
D. Visible light waves and x-rays can have varying amounts of energy

Answers

Answer:

B

Explanation:


If a car is traveling 35 m/s for 200 seconds, how far will the car travel?

Answers

Answer:

7.14285714286

Explanation:

answer:

7,000 meters (m)

explanation:

formula is d=v•t

d is distance, v is velocity (speed), and t is time.

to find the answer to this problem, plug in the values given:

d = 200 • 35

7000 = d

Attempting to both study and watch television is an example of divided attention.
T
F

Answers

Answer: True - doing both tasks at once is attempting to do two things at once which means you are dividing your attention.

Answer:

true

Explanation:

The pressure was 50pa ,when a perpendicular force was applied on a surface area of 2.5m2.what is the force applied??????​

Answers

Answer:

Force = 125 Newton

Explanation:

Given the following data;

Pressure = 50 pa

Area = 2.5 m²

To find the force applied;

Force = pressure * area

Substituting into the formula, we have;

Force = 50 * 2.5

Force = 125 Newton

Speed of a car is 30 m/s. Find its speed in km/h.


110 km/h

5.3 km/h

108 km/h

109 km/h

Answers

Answer:

108km/h

Explanation:

1km=1000m

3600s=1 hr

M/s= 3600/1000km/hr= 3.6km/hr

30m/s= 30×3.6km/hr = 108km/hr

A person has a gravitational force (weight) of 600 N on Earth. Suppose the mass of the Earth is double and the radius shrinks to 1/3 of what it currently is. Calculate your new weight.

Answers

Explanation:

that's impossible,the radius of the earth can't decrease when the mass doubles!

2. A mixture of mercury and copper is an example of
a) solid and solid
b) liquid and solid
c) solid and liquid
d) liquid and liquid​

Answers

Answer:

b

Explanation:

liquid and solid

hope that helps :)

b

Explanation:

option b would be the answer

CAN SOMEONE PLEASE DO THIS FOR ME. ILL GIVE YOU BRAINLIEST!!!! I NEED A STORY. (If you answer the question and it's not a real answer I'll report you)
Phases of Matter Activity
Now it is your turn to show what you know about phases of matter and thermal energy transfer! Your task is to create a presentation to explain the transformation of a substance as it changes phases. You may choose to write a story or create a comic strip. For your story or comic, you will create a main character and detail the adventure as your character is exposed to thermal energy, causing it to undergo phase changes from a solid, to a liquid, to a gas. You may create your own comic strip using drawings, presentation software, or this comic strip template.

Your presentation must include the following:

title and introduction of your character, including what substance the character is made of
source of thermal energy your character encountered (conduction, convection, and/or radiation)
detailed description and/or diagram of the particle transformation from solid to liquid phase
detailed description and/or diagram of the particle transformation from liquid to gas phase

Answers

Answer:

ok, This will be a story. (comic can also be done with this. In fact it is better)

The title is the journey of the ice cube. (change it if you want)

Main character - ice cube

There was an ice cube made by the water from the freezer in an ice shop.

The ice cube, with a bunch of other ice cubes, were taken to be packed and sold to a restaurant. The ice cube was excited to where he was going while the other ice cubes are just meh. Now that the ice cubes arrived, a restaurant worker stores the ice cubes in a cooler and later used to put ice in a lemonade. While the lemonade in a glass cup was carried outside the porch of the restaurant by the waiter, the ice cube was fascinated by the environment of the restaurant. The waiter finally serves the thirsty customer and the customer drank almost half of the lemonade but the ice cube did not get in the man's mouth. Instead the other ice cubes went. The ice cube feared the person. Shortly after checking his phone, the customer was about to reach on to the glass until the hands accidentally pushes the glass over and falls. The ice cube and the remaining ice cubes spread away with the wasted lemonade liquid. No one bothered cleaning up the ice cubes, only the glass shards because the floor is a smooth concrete. Outside was really hot from the sun anyways so it would melt the ice cube and sooner evaporate. As it was in liquid form, the "ice cube" was feeling relaxed because it was just chilling on the floor. And when it evaporates, the ice cubes becomes more fascinated since it goes up to the sky while having a sky-view from above.

That is the end.

You can add, edit or even not consider this one. But this is just an example to spark up your ideas. Sorry if I made some English mistakes.

Hope that helped! God Bless you!!!

Explanation:

Could a tsunami cause the canary islands volcano to erupt or could the canary islands volcano eruption cause a tsunami? Why?

Answers

A volcanic eruption on the canary islands could indeed cause a tsunami. Since an eruption could cause a large landslide or something of that sort which could end up resulting in a tsunami.

Jenny and Anne wanted to see who could throw a ball the hardest. They decided to each throw a ball against a wall as hard as they could and measure how far the ball rolled away from the wall

Answers

Answer:

The answer is below

Explanation:

Jenny and anne wanted to see who could throw the ball the hardest. they decided to each throw a ball against the wall as hard as they could and measured how far the ball rolled away from the wall. what might be the variables in this experiment;

Solution:

There are different type of collisions. In an inelastic collision, momentum is conserved and there is loss in kinetic energy while in an elastic collision, momentum is not conserved and there is no loss in kinetic energy.

During inelastic collision, the objects stick together while during an elastic collision, the objects separate.

When the ball is thrown against the stationary wall, there is momentum due to the force of impact. The distance at which the ball is rolled away from the wall depends on:

a) mass of the ball, b) velocity of the ball, c) mass of the wall d) type of collision (elastic or inelastic)

Two runners ran side by side, each holding one end of a horizontal pole. How would this affect the direction of the runners? Explain.

Answers

Answer:

They will run parallel to each other as the none of a straight pole cannot be bent in such a way where one side can turn without the other turning.

Identify all the items James Naismith used to create the game of basketball. Selected:a. A basketballThis answer is incorrect. b. A peach basket c. A soccer ball d. A ten foot pole

Answers

Answer:

A & B

Explanation:

He used 2 peach basket and a soccer ball

If you are sitting 8.20 m from a
70.0 W speaker, what is the
sound level in dB?
(Treat the speaker as a point source.)
(Unit = dB)

Answers

The sound level will be 109 decibels. If a person exceed hear a sound more than the certain sound level, the person hearing may damage.

What is sound level?

Sound level is the intensity to measure the sound. Decibels are used to quantify sound level.

Sound level or the sound intensity is the ratio of  the power to the surface area;

[tex]\rm Intensity = \frac{Pow\pi er }{Surface \ area} \\\\ \rm Intensity = \frac{70}{ 4 \times \pi \times 8 \times 20^{2} } \\\\ I = \ 0.082 \ W/m^2[/tex]

The conversion of  the obtained value into the decibel as;

[tex]\rm I = 10 \times log \frac{I}{1 \TIMES 10^{-12}} \\\\\ I = 109 \ decibel[/tex]

Hence, the sound level will be 109 decibels.

To learn more about the sound level, refer to the link;

https://brainly.com/question/12899113

#SPJ2

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