A spring has a length of 0.270 m when a 0.300 kg mass hangs from it, and a length of 0.750 m when a 2.80 kg mass hangs from it. (a) What is the force constant (in N/m) of the spring?

Answers

Answer 1

Answer:

k  = 51.09 N/m

Explanation:

Given,

mass, m₁ = 0.3 Kg

length of spring, x₁ = 0.27 m

Mass, m₂ = 2.80 Kg

Length of spring, x₂ = 0.750

We know that

Restoring force, F = k x

Gravitation force, F = m g

Now,

m₁ g = k x₁ ......(1)

And

m₂ g = k x₂   .......(2)

where k is spring constant

Subtracting equation (2)- (1)

(m₂-m₁)g = k(x₂-x₁)

(2.8-0.3) x 9.81 = k (0.75 - 0.27)

24.525 = k x 0.48

k  = 51.09 N/m

Hence, spring constant is 51.09 N/m.


Related Questions

what is the answer to this​

Answers

it’s the atomic mass

The number of forces that act on a book after being pulled by an string and start moving on a table is

1.
2.
3.
4

Answers

i want to help you but how do we know which one it is when all of them are blank?

Two balls, a foam ball and a golf ball, are placed into a pail of water. The golf ball sinks. Why does a foam ball float and a golf ball sink when both are placed into water?

Answers

Answer:

The golf ball has a greater mass than the foam ball

Explanation:

Two small stereo speakers are driven in step by the same variable-frequency oscillator. Their sound is picked up by a microphone arranged as shown. For what fundamental frequency does their sound at the speakers produce constructive interference? The speed of sound is 340m/sec.

Answers

Answer:

The fundamental frequency at which the sound of speakers at the microphone produce constructive interference is 801.076458 Hz

Explanation:

For a given arrangement having constructive interference, we have;

R₁ - R₂ = 2·x = 0 + n·λ

The distance from one speaker to the microphone. R₁ = 4.50 m

The distance between the two speakers = 2.00 m

The angle formed between the direction from the microphone to the speaker closest and the directional path between the speakers = 90°

Therefore, by Pythagoras's theorem, the distance from the speaker furthest from the microphone, to the microphone, 'R₂' is given as follows;

R₂ = √(4.50² + 2.00²) = √(24.25) = 4.9244289009 ≈ 4.924

∴ R₂ ≈ 4.9244289 m

R₂ - R₁ = 4.9244289 m - 4.5 m = 0.4244289 m

For constructive interference, R₂ - R₁ =0.4244289 m = n·λ

For n = 1, we have;

R₂ - R₁ =0.4244289 m = n·λ = 1 × λ = λ

λ = 0.4244589 m

f = v/λ = 340 m/sec/(0.4244289 m) ≈ 801.076458 Hz

Therefore the lowest possible fundamental frequency at which the speakers produce constructive interference, f = 801.076458 Hz

The frequency at which the speakers produce a constructive interference is 801.076 Hz.

Given here,

[tex]R_1[/tex]- The distance from one speaker to the first microphone = 4.5 m

[tex]R_2[/tex] - The distance between microphone and second speaker = ?

The distance between the speakers = 2 m

From Pythagorean theorem,

[tex]R_2= \sqrt {4.50^2 + 2.00^2}\\\\R_2 = \sqrt{24.25} \\\\R_2= 4.924[/tex]

So,

[tex]R_2 - R_1 = 4.9244 \, {\rm m} - 4.5 \, {\rm m} \\\\R_2 - R_1 = 0.4244 \, \rm m[/tex]

For constructive interference,

[tex]R_2 - R_1 = m\lambda[/tex]

Since, m = 1

λ = 0.4244 m

Now, frequency can be calculated by the formula,

[tex]f = \dfrac v\lambda[/tex]

So,

[tex]f = \dfrac {340{\rm \ m/sec}}{(0.4244\; \rm m) }\\\\f = 801.076{\rm \ Hz}[/tex]

Therefore, the frequency at which the speakers produce a constructive interference is 801.076 Hz.

To know more about fundamental frequency,

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how many muscles make up the human body

Answers

Answer:

650......................

Can anyone help me understand Circular Economy? for science

Answers

As an important contribution to a sustainable future, chemistry and its products must be adapted to a circular economy (CE)—a system aimed at eliminating waste, circulating and recycling products, and saving resources and the environment.

A student is performing experiments on a particular substance. Which
statement is an observation of a chemical property of the substance?
O A. It burns.
B. It melts.
O C. It floats.
D. Electricity cannot pass through it.

Answers

Answer: A.

Explanation:

TRUE OR FALSE?
When a large truck pushes a small car with a given force, the small car is applying an equal and opposite force on the truck.

Answers

Answer:

That would be true.

Explanation:

sorry if im wrong just trying to be somewhat helpful.

do we live in a simulation?

Answers

Answer:

well no, but yes

Explanation:

depends on your religion tbh

Answer:

There is a 50-50 chance that we do live in a simulation.

Explanation:

PLEASE ANSWER IN COMPLETE SENTENCE!!!
What is the relationship between Earth’s mass and its atmosphere?

Answers

Answer:

Mass is proportional to gravity and gravity is necessary to hold an atmosphere, therefore mass would seem to be very important for the ability for a body to have an atmosphere. However there are quite a few examples that show that it doesn't require that much mass to get an atmosphere.

Explanation:

Answer + Explanation : Mass is proportional to gravity and gravity is necessary to hold an atmosphere, therefore mass would seem to be very important for the ability for a body to have an atmosphere.

plz i need help please help​

Answers

Answer:

if you look it up i think u can find it it could be a mealltiod  Co 27

Explanation:

if your weight is 600 Newton on the earth how far should you go from the centre of the earth so that it will be 300 Newton​

Answers

Given :

Our weight is 600 Newton on the earth.

To Find :

How far should you go from the center of the earth so that it will be 300 Newton​.

Solution :

Acceleration due to gravity at depth d is given by :

[tex]g' = g( 1 - \dfrac{d}{R_e})[/tex]

At earth surface, mg = 600 N   ...1)

At depth d, mg' = 300 N            ...2)

Dividing 1) and 2), we get :

[tex]\dfrac{g}{g'} = \dfrac{600}{300}\\\\\dfrac{g}{g'} = 2\\\\g = 2g'\\\\g = 2\times g\times ( 1 - \dfrac{d}{R_e} )\\\\1 - \dfrac{d}{R_e} = \dfrac{1}{2} \\\\d = \dfrac{R_e}{2}[/tex]

Therefore, we should go in the depth of distance half the radius of earth.

You make a(n) _____ by fastening together usually perpendicular parts with the ends cut at an angle.

Answers

Answer:

Miter joint

Explanation:

Made by fastening together usually perpendicular parts with the ends cut at an angle

A 4.5 kg bucket of water is raised from a well by a rope. The acceleration of gravity is 9.81 m/s 2 . If the upward acceleration of the bucket is 4.9 m/s2 , find the force exerted by the rope on the bucket of water. Answer in units of N.

Answers

Answer:

The force exerted by the rope on the bucket of water is 66.195 N.

Explanation:

Given;

mass of the bucket, m = 4.5 kg

acceleration of gravity, g = 9.81 m/s²

upward acceleration of the bucket, a = 4.9 m/s²

The upward force applied on the bucket by the rope is calculated as;

F = ma + mg

F = m(a + g)

F = 4.5(4.9 + 9.81)

F = 4.5(14.71)

F = 66.195 N

Therefore, the force exerted by the rope on the bucket of water is 66.195 N.

What is the acceleration for an object moving with constant speed? Explain your answer

Answers

Answer:

What is the acceleration of an object moving at a constant speed?

The Meaning of Constant Acceleration

The data table above show an object changing its velocity by 10 m/s in each consecutive second. This is referred to as a constant acceleration since the velocity is changing by a constant amount each second.

Answer:

there is no acceleration for an object moving with constant speed

Explanation:

it is because acceleration is change in velocity and constant means same or without any change so there is no acceleration for an object which is moving with same speed

hope it helps:)

1 Pascal is equal to N/cm
True
False

Answers

Answer:

False

Explanation:

Pascal is a pressure of one newton per square metre, or, in SI base units, one kilogram per metre per second squared.

Pa = N/m^2

Which Olympic events the most muscular stretch

Answers

Answer:

It is gymnastics.

What is the weight of a 36 kg toy car?

Answers

Answer:

About 79 lbs (pounds)

Explanation:

Look at photo D. Explain how the fountains help to keep the gardens cool. ​

Answers

Answer with Explanation:

Spain is known to have hot summers, thus, it is very easy for water to evaporate once exposed to direct heat source (such as the sun).

A fountain is being used in order to keep the garden's surrounding air temperature low by allowing the evaporation of water. One factor that speeds up the evaporation of water is the surface area. The water coming out of a fountain is in small quantities; however, it meets up with hot air in a large surface area. This allows faster evaporation, leading to an even greater cooling effect because heat is being transported immediately from the liquid state to the gaseous state. This is the reason why people often meet up in places where there's a fountain. It is not only aesthetically appealing but also provides comfort from the heat.

What would be the average speed of a runner who finished a 400 meter race in 50 seconds?​

Answers

Answer:800

Explanation:about

What is the doppler effect in astronomy used for?

Answers

Answer:

The Doppler effect for electromagnetic waves such as light is of great use in astronomy and results in either a so-called redshift or blueshift. It has been used to measure the speed at which stars and galaxies are approaching or receding from us; that is, their radial velocities.

Answer:

the doppler effect for electromagnetic waves such as light is of great use in astronomy anf results in either redshift and blueshift. It has been used used to measure the speed at which stars and galaxies are approaching or receding from us; that is, their radial velocities

Which Newton’s law is gown below?

First
Second
Third
Pls answer

Answers

Answer:

The First law of motion

Explanation:

The firat law states that an object either remains at rest or continues to move at a constant velocety unless acted upon by an external force

Which measurement can she expect once the water begins to boil??

Answers

Answer:

200

Explanation:

has to be long this us just random words anseer is b. 100

During which change of states do atoms lose energy?

Answers

Answer: freezing

Explanation:

If a problem has more than one system of interest, more than one free-body diagram is required to describe the external forces acting on the different systems.

1.True
2.False

Answers

ANSWER:
I BELIEVE THE ANSWER IS TRUE
ANSWER: it’s true :)

why will light from the sun change the color of the cloth when the light from the desk lamp does not

Answers

Answer:

Because the sun gives off a type of light that carries energy, and light from the desk lamp does not.

Explanation:

All of the energy from the Sun that reaches the Earth arrives as solar radiation, part of a large collection of energy called the electromagnetic radiation spectrum. Solar radiation includes visible light, ultraviolet light, infrared, radio waves, X-rays, and gamma rays. Radiation is one way to transfer heat.

Which idea did Ptolemy’s model use to explain why the planets appeared to move backward as they moved in their orbits?

The planets spun in epicycles.
The planets rotated on their axes.
The planets revolved around the Sun.
The planets were made of different materials.

Answers

Answer:

The planets spun in epicycles.

Explanation:

Ptolemy's model used to explain that the planets spun in epicycles.

What is Ptolemy's model? How it was explained?

           Ptolemy placed the Earth at the center of the geocentric model. The system of planetary motions according to which the earth is at the center with the sun, moon, and planets revolving around it and each orbit except for the sun and moon is composed of a principal circle upon which moves a smaller circle carrying the planet. As he knows about the planetary motions and ideas about the universe was a set of spheres that surrounds the earth. He also believed that the moon has the orbit which is closest to the earth, the Mercury , the Venus and the sun.

      According to Ptolemy he considered and mentioned completely about 48 constellations.

Hence, Option A is the correct answer.

Learn more about Ptolemy model,

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Please help me.. I will give you 20 points !!

When is a secondary source more helpful than a primary source?
O A. When you want to know the exact data values
B. When you do not need to know the conclusion of the experiment
C. When you want to confirm the conclusion with your own
experiment
D. When you are not an expert in the field being studied in the
experiment

Answers

Answer:b but thats what I think

Explanation:

Answer: D. When you are not an expert in the field being studied in the

Explanation: D. When you are not an expert in the field being studied in the

Which is a possible result of rising ocean temperatures caused by global warming?

formation of dust bowls
increase in strength of hurricanes
rapid evaporation of water in soil
decrease in population due to health threats

Answers

Answer:

Increase in strength of hurricanes

Explanation:

A possible result of rising ocean temperatures caused by global warming is increase in strength of hurricanes.

What is global warming?

Global warming is an environmental concern characterized by the gradual increase in the Earth's atmospheric temperature.

Global warming can lead to the rise of temperature in air and oceans as well.

One consequence of an increase in ocean temperature is that the strength of hurricanes, which is strong wind accompanied by rain, will be increased.

Therefore, a possible result of rising ocean temperatures caused by global warming is increase in strength of hurricanes.

Learn more about global warming at: https://brainly.com/question/12908180

Please help ASAP 35 points and brainly if u get it right please

Answers

Answer:

first one down second one up

Explanation:

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