A 127 N object vibrates with a period of 3.32 s when hanging from a spring. What is the spring constant of the spring? The acceleration of gravity is 9.81 m/s 2 . Answer in units of N/m.

Answers

Answer 1

Answer:

The spring constant is approximately 46.382 newtons per meter.

Explanation:

From Physics, the period ([tex]T[/tex]), measured in seconds, experimented by an object under Simple Harmonic Motion:

[tex]T = 2\pi\cdot \sqrt{\frac{W}{g\cdot k} }[/tex] (1)

Where:

[tex]W[/tex] - Weight, measured in newtons.

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

[tex]k[/tex] - Spring constant, measured in newtons per meter.

If we know that [tex]W = 127\,N[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] and [tex]T = 3.32\,s[/tex], then the spring constant of the system is:

[tex]\frac{T^{2}}{4\cdot \pi^{2}} = \frac{W}{g\cdot k}[/tex]

[tex]k = \frac{4\cdot \pi^{2}\cdot W}{g\cdot T^{2}}[/tex]

[tex]k \approx 46.382\,\frac{N}{m}[/tex]

The spring constant is approximately 46.382 newtons per meter.


Related Questions

A pressure cooker has a mass of 1.5 kg and temperature of 30°C. The specific heat
capacity of the alloy from which the pressure cooker is made up of is 1000/kg
What will be its temperature when 7.5 *10') of heat is supplied to it? ​

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Answer:

hjd

Explanation:

Hi! Can somebody please help?

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Answer:

Diagram A will reach the top first.

Explanation:

If it is going straight, it will go slower. The higher the movement speed the faster it is. Hope this helps!

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Answer:

D

Explanation:

What is one difference between a total solar and a total lunar eclipse?

A: A solar eclipse happens once every 28 days. A lunar eclipse happens only during a full moon.
B: In a solar eclipse, the sun moves between Earth and the moon. In a lunar eclipse, the moon moves between the sun and Earth.
C: A solar eclipse can be viewed anywhere on Earth. A lunar eclipse can only be seen from the side of Earth facing the moon.
D: In a solar eclipse, it is Earth that is caught in the umbra of the moon. In a lunar eclipse, it is the moon that is caught in the umbra of Earth.

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Answer:

Image result for What is one difference between a total solar and a total lunar eclipse?

During a total solar eclipse, the moon passes between Earth and the sun, casting a small, dark shadow on our planet. ... During a lunar eclipse, however, the Earth passes between the moon and the sun, casting its shadow — known as the umbra — onto the moon.

Answer:

D.

Explanation:

14) What is the velocity of a wave 5.35 x 10 cm long with a frequency of 16kHz

Answers

Answer:

wavelength= 5.35×10cm=0.535m

f= 16000hz

v= wavelength × f= 0.535×16000=8560m/sec

What do you use to write on a blackboard? ​

Answers

Answer:

Chalk, expo markers. Why?

Answer:

Chalk

Explanation:

please mark as brainliest

Explain the difference between mass and weight. Also, what happens to your mass and your weight if you were to travel to the moon? Why?

PLEASE HURRY!!

Answers

Weight can be explained as the force with which the gravity pulls an object. Your weight will not be the same in all planets. In moon, you will weigh far lesser than how much you weigh on the earth. However, in earth and in the moon, your mass will remain the same.

What is the kinetic energy of a 2.1kg baseball and is traveling at 10 m/s?

Answers

Answer:

Explanation:

KE = 1/2mv^2

KE = 1/2(2.1)(10)^2

KE=105N

Why does a lunar eclipse last for a few hours whereas a solar eclipse only lasts for a few minutes?

Select one:

a.
The moon takes more time to travel through the earth’s umbra.


b.
Because the moon is moving much more slowly than the sun.


c.
Solar and lunar eclipses actually last about the same time.


d.
Because the sun is stationary and the moon is moving.

Answers

Answer:

The type and length of a lunar eclipse depend on the Moon's proximity to either node of its orbit. ... A total lunar eclipse can last up to nearly 2 hours, while a total solar eclipse lasts only up to a few minutes at any given place, due to the smaller size of the Moon's shadow.

pls help me i will name brainliest

Answers

Answer:

a for the first one b for the second

Agreed when looking at the law it will end up with a for firs answer and b for the second

Question 19 of 20
Planets A and B have the same size, mass, and direction of travel, but planet
A is traveling through space at half the speed of planet B. Which statement
correctly explains the weight you would experience on each planet?
A. You would weigh less on planet B because it is traveling twice as
fast as planet A.
B. You would weigh the same on both planets because your mass
would adjust depending on the planet's speed.
O C. You would weigh more on planet B because it is traveling twice as
fast as planet A.
D. You would weigh the same on both planets because their masses
and the distance to their centers of gravity are the same.
SUBMIT

Answers

Answer:

D. You would weigh the same on both planets because their masses

and the distance to their centers of gravity are the same.

Explanation:

The above statement is true due to the fact that, the weight and masses of the individual are same in direct comparison with the distance to their center of gravity. If the weight and masses are not same, then there would have been a significant difference between the two planet.

A horizontal pipe of diameter 0.933 m has a smooth constriction to a section of diameter 0.5598 m. The density of oil flowing in the
pipe is 821 kg/m3. If the pressure in the pipe is 7220 N/m2 and in the constricted section is 5415 N/m2, what is the rate at which oil is flowing?

Answer in units of m3/s.

Answers

Answer:s

Explanation:

The answer would most likely be 3479 m3/s

The body weighing 8kg moves in a straight line uniformly accelerated with an acceleration of 3m / s? on a horizontal surface, under the action of force 60N.Find a) What is the friction force acting on the body) The coefficient of friction between the body and the surface where it moves

Answers

Answer:

pls explain this to me

Explanation:

I will not answer it

both answers are here in the picture

A boy moves around a square path of side 15m. He completes 1 round in 40 sec. 1 Calculate the displacement of the boy at the end of 2min 20sec.





Plsss answer fast!

Answers

Answer:

Explanation:

2 min 20 sec = 140 sec .

In 40 sec  one round

In 140 sec 140 / 40 round = 3.5 round .

That means the boy will be positioned at the diametrically opposite corner of the square path .

side of square path = 15 m

length of diameter = 15√2

= 21.21 m

Displacement of boy is 21.21 m .

Which shows the correct lens equation?

Answers

Answer:

The inverse of f equals the inverse of d Subscript o Baseline plus the inverse of d Subscript I Baseline.

Explanation:

Explanation:

Answer: The answer is most likely the first one, but I may be wrong.

Explanation:

Chemical changes occur as energy is transferred when molecules- - or - to form one or more new substances

Answers

Answer:

Correct options are C. As food is digested, molecule bonds are broken, allowing new molecules to form that can be used by our bodies.

D. Energy stored in organic fuels are used for heat and electricity/ When batteries are connected to a circuit, a reaction occurs inside the cell producing electrical energy.

Explanation:

The breakdown of food leads to the release of chemical energy which was first stored in food. This energy is used to drive necessary functions of the body. A series of chemical reactions are involved in the breakdown of food and changing them into useful components for the cell.

Chemical energy is stored in circuits. When the battery is connected to a circuit, the chemical energy gets transferred into electrical energy.

Answer:

change, combine

define amplitude of sound​

Answers

The number of molecules displaced by vibration creates the amplitude of a sound

A light wave with a long wavelength has _____ energy.

Answers

Less energy your welcome

1. Why are the outer planets called “gas planets?”

Answers

Answer:

They are also called the gas planets because they consist mainly of hydrogen, or the giant planets because of their size. These planets usually have complicated system of many moons and often even rings of ice and/or dust. There are four Jovian planets in the Solar System: Jupiter, Saturn, Uranus and Neptune.

Answer:

They are also called the gas planets because they consist mainly of hydrogen, or the giant planets because of their size. These planets usually have complicated system of many moons and often even rings of ice and/or dust. There are four Jovian planets in the Solar System: Jupiter, Saturn, Uranus and Neptune.

Explanation:

i hope this helps :)

20 N effort is used in the 20 cm long spanner to unscrew a nut , then calculate momentum to unscrew the nut​ .

Answers

Answer:

i am also from Nepal do you want to become friends

4
(a) Which arrow shows the amplitude of the wave?
(1 mark)​

Answers

Answer:

hmmm, where is the image?

but still let me tell you

Explanation:

amplitude of a wave is the maximum displacement of a particle from its rest position

so the arrow should be from the middle of the wave to the top of the crest or to the bottom trough,

from the middle

okay?

hope this helps, but be sure to add the image next time

yo pls help me I'm desperate lowkey

Answers

The answer should be B
I think the awnser for this should be b

estion 3
What is the velocity of a 1120 kg car that has the momentum of 53,760 kg*m/s?
mentum

Answers

Answer:

Velocity = 48 m/s

Explanation:

Given:

Mass = 1,120 kg

Momentum = 53,760 kg(m/s)

Find:

Velocity

Computation:

Velocity = Momentum / Mass

Velocity = 53,760 / 1,120

Velocity = 48 m/s

Can someone help with this? (Picture above)

Answers

Answer:

Element #1

protons = 1

neutrons = 0

electrons = 1

atomic number = 1

atomic mass = 1

Element #2

protons = 2

neutrons = 2

electrons = 2

atomic number = 2

atomic mass = 4

Element #3

protons = 3

neutrons = 3

electrons = 3

atomic number = 3

atomic mass = 6

Explanation:

Atomic mass = proton = electrons at neutral state

please give me brainliest if my answer is helpful

RNA is ______________________stranded. It _______________ leave the nucleus, unlike DNA. It still consists of __________________, however the _____________ in the backbone of the strand is different than in DNA.
The nitrogenous bases are different in RNA; instead of Thymine, Adenine now pairs with _____________________.

Answers

Answer:

See below

Explanation:

RNA is single-stranded. It does leave the nucleus, unlike DNA. It still consists of strands, however, the ribose in the backbone of the strand is different than in DNA.

The nitrogenous bases are different in RNA; instead of Thymine, Adenine now pairs with Cytosine.


The brakes of a lorry are in a poor condition
What effect will the condition of the brakes have on thinking distance and the braking
distance of the lorry?

Answers

Answer:

friction

Explanation:

Her brakes will squeak and possibly slide or skid on concrete due to her brakes.

BUT it really depends on the condition of the wheels. Now it matters on the surface as well. Has the road been eroded? what has happened with her brakes? and what texture are the wheels? can seismic waves travel through them?

Answer:

thinking distance stays the same and the braking distance increases

AQA Approved.✅

Explanation:

Fred is conducting a controlled experiment to test whether using a grow light at night will help a tomato plant grow faster. Below are the steps to Fred's experiment: Plant tomato plants in two separate, but identical, flowerpots. Place the flowerpots in the same area outside during the day. At night, bring both flower pots inside and place one in the dark and one under a grow light. Give the plants the same amount of food and water each week. Measure the growth of the plants. Draw conclusions based on the data collected. Which of the following variables must Fred hold constant in this experiment?

Answers

Answer:

the type of tomato plants used.

Explanation:

Are stairs a type of inclined plane?

Answers

Answer:

Inclined planes are simple machines used to make work easier. Ramps, ladders, and staircases are all inclined planes.

Explanation:

Answer:

imma say yes

Explanation:

Can someone please do this for me, I have heavy work for some other classes and can never find time to do this one :/(94 points)

Answers

Answer:

dang, you are really trying to get everyone to do your heavy lifting lol.

I'll do coal. and maybe a little more.

Explanation:

Coal What is it?

Coal is a combustible black or brownish-black sedimentary rock, formed as rock strata called coal seams. Coal is mostly carbon with variable amounts of other elements; chiefly hydrogen, sulfur, oxygen, and nitrogen.

Coal How we obtain it:

Coal can be extracted from the earth either by surface mining or underground mining. Once coal has been extracted, it can be used directly (for heating and industrial processes) or to fuel power plants for electricity. If coal is less than 61 meters (200 feet) underground, it can be extracted through surface mining.

Coal Pros:

Coal is plentiful in many places and it is easy to access through mining, so people rely on it to produce energy. Coal is easy to store. Once it is mined it can be safely stored with no hazard of fire or explosion like there is with gas or oil. It is relatively easy and inexpensive to convert coal into energy.

Coal Cons:

Coal is nonrenewable.  Coal contains the most CO2 per BTU, the largest contributor to global warming.  Severe environmental, social, and health, and safety impacts of coal mining.  The devastation of the environment around coal mines is heavy.  High cost of transporting coal to centralized power plants. Coal is really dirty and not good.

__________________________________________________________

Solar What is it?

Solar energy is radiant light and heat from the Sun that is harnessed using a range of ever-evolving technologies such as solar heating, photovoltaics, solar thermal energy, solar architecture, molten salt power plants and artificial photosynthesis.

Solar How we obtain it:

Solar technologies convert sunlight into electrical energy either through photovoltaic (PV) panels or through mirrors that concentrate solar radiation. This energy can be used to generate electricity or be stored in batteries or thermal storage.

Solar Pros:

It's clean energy. Solar power is pollution-free and causes no greenhouse gases to be emitted after installation.  It has reduced dependence on foreign oil and fossil fuels.  It is renewable clean power that is available every day of the year, even cloudy days produce some power.  It gives a return on investment unlike paying for utility bills.

Solar Cons:

Solar doesn't work at night. Solar panels are not attractive. You can't install a home solar system yourself. My roof isn't right for solar. Solar hurts the environment. Not all solar panels are high quality.

Anyone knows this? Please answer... Spam will be reported.

Answers

Answer:

The correct option is;

The assertion is correct, but reason wrong

Explanation:

The question is with regards to the relationship between work, energy, power, and velocity

The mass of each of the persons running up the staircase = Different

The time it takes each person to run up the stairs = Equal time

Let, 'm₁' and 'm₂' represent the mass of each of the persons that ran up the stairs and m₁ > m₂

Let 't' represent the equal time it takes then to run up the stairs

Let 'h' represent the height of the stairs

The energy, 'E', it takes to run up the stairs is equal to the potential energy, P.E., obtained at the top of the stairs

P.E. = m·g·h

Where;

m = The mass of the person at an elevated height

g = The acceleration due to gravity = Constant

h = The height reached above ground level

Given that the height reached is the same for both of the persons, we have

For m₁, P.E.₁ = m₁·g·h and for m₂, P.E.₂ = m₂·g·h

Therefore, where, m₁ > m₂, we have;

P.E.₁ > P.E.₂

∴ E₁ > E₂

Power, 'P', is the rate at which energy is expended

∴ Power, P = E/t

∴ P₁ = E₁/t  > P₂ = E₂/t

Therefore, the person with the greater mass, 'm₁', uses more power than the person of mass 'm₂', in running up the stairs

Therefore, the assertion is correct

The average velocity, vₐ = (Total distance traveled, d)/(Total time taken, t)

Given that the distance, 'd', covered in running up the stairs by both persons is the same, and the time it takes them to complete the distance, 't', is also the same, we have;

The average velocity of the person with the greater mass m₁ is the same as the average velocity of the person with mass, m₂

Therefore, the reason is wrong

The answer is that the assertion is correct, but reason wrong

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