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

What is an example of reference point

Answers

Answer:

An example of a reference point that is moving is when you look out the window of a car and notice that you are moving faster than the car next to you. You use that other car as a reference point to determine that your car is moving.

Explanation:

The speed of a 1200 kg car increases from 5 to 29 m/s in 12 s.
What force accelerated the car?

Answers

Answer:I think I’m not sure But I think that the force that would be accurated the car would be friction or something like that and to solve the equation you would do f/m

Explanation:

It just makes sense

What is 6.02 x 10^4 in standard notation

Answers

I believe you mean 6.02*10^7 but you want to shift the decimal 7 times to the right which would be 60200000 (:

What do you use to write on a blackboard? ​

Answers

Answer:

Chalk, expo markers. Why?

Answer:

Chalk

Explanation:

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Identify the magnetic North Pole of earth's magnet

Answers

Answer:

Using a Compass to Identify Magnet North Pole

Watch carefully at where the compass needle points. The point that normally points to the north pole of Earth should point to one end of the magnet. That end is actually the South pole of the magnet

Explanation:

Hope it help you

Plz mark my answer brainliest✍️✍️

South south south south

What is the kinetic energy of a 0.500 kg toy car moving at a state of 1.50 m/s

Answers

Answer:0.563

Explanation:

The kinetic energy produced in a toy car is equal to 0.563 J.

What is the kinetic energy and potential energy?

The energy exhibited by a moving body because of its motion is said to be its kinetic energy. Work should be done which can change the kinetic energy of a moving object.

The kinetic energy of a moving object can be determined from the formula mentioned below:

K.E. = ½mv²     where ‘m’ and ‘v’ is the mass, velocity of the object.

Potential Energy (P.E.)is energy that is stored in an object due to its position and can be expressed as P.E = mgh where h, m, and g are the height, mass, and gravitational acceleration respectively.

Given, the mass of the toy car =, m = 0.500 Kg

The velocity of the toy car, v = 80 m/s

The kinetic energy = (1/2)× 0.500 ×(1.50)²

K.E. = 0.563 J

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On Earth, a scale shows that you weigh 585 N. What would the scale read on the Moon (g = 1.60 m/s2)? N

Answers

Answer:

95.51 N

Explanation:

First, find the mass in kg:

Fg = 585 N

Fg = m*g

585 N = m*9.8 m/s^2

m = 59.69 kg

Then, to find your weight (Fg) on the moon, you use the same equation of

Fg(moon) = m*g, except this time g = 1.60 m/s^2

Fg(moon) = 59.69 kg * 1.60 m/s^2

Fg(moon) = 95.51 N

Hope this helps!! :)

State galileo's law of inertia​

Answers

Answer:

Galileo's law of inertia states that; if no net force acts on an object, the object maintains its state of motion.

(The first law of motion is also known as Galileo's law of inertia)

Emily is pushing a toy sand truck. She realizes it is much harder to push the truck when it is full of sand than when it is empty. What is the reason for this?

An object with a greater mass requires a smaller force to accelerate.
An object with a greater mass requires a greater force to accelerate.
An object pushed with a greater force has a greater mass.
An object pushed with a greater force has less mass.

Answers

Answer: An object with a greater mass requires a greater force to accelerate.

Explanation:

Answer:

An object with a greater mass requires a greater force to accelerate.

Explanation:

I took the test.

please help me anyone i will mark brainliest

Answers

Answer:

for 4.567 I can't tell if it x [tex]10^{3}[/tex] or x [tex]10^{5}[/tex] so:

answer using x [tex]10^{3}[/tex] = 0.0000644697N

answer using x [tex]10^{5}[/tex] = 0.00644697

Explanation:

use equation F = GMm/[tex]R^{2}[/tex]

-A 180 kg hippo is riding a bicycle at a speed of 6.0

m/s. Out of nowhere, a chimpanzee runs out in the

hippo's path and he must slam on his brakes. If the

bicycle's brakes exert a force of 1600 N, how

long will it take to stop the bicycle? _s

Answers

Answer:

0.0675 seconds

Explanation:

From the question,

We apply newton's second law of motion

F = m(v-u)/t.................... Equation 1

Where F = force exert by the brake, v = final speed, u = initial speed m = mass of the bicycle, t = time.

make t the subject of the equation

t = m(v-u)/F................... Equation 2

Given: m = 180 kg, u = 6.0 m/s, v = 0 m/s (comes to stop), F = -1600 N ( agianst the dirction of motion)

Substitute these value into equation 2

t = 180(0-6.0)/-1600

t = -1080/-1600

t = 0.0675 seconds.

What determines what we call the phases of the
moon?

Different fractions of the moon

Areas of the moon we cannot see

Days on the calendar
No answer text provided.

Answers

Different fractions of the moon

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.

Use the information and diagram to answer the following question.
A Physics student builds a circuit as shown with the help of a battery, wires, switch and 2 light bulbs as shown.
Which of the following circuit elements should the student use to cause the bulbs to dim but not go out?

Answers

Answer:b

Explanation:

Because I don’t know

The circuit elements should be placed according to the diagram given in option B to cause the bulbs to dim but not to go out. Thus, the correct option is B.

What are the elements of an electric circuit?

An electric circuit is the continuous closed path along which the electric current flows from the positive terminal of the circuit to the negative terminal of the battery. An electric circuit can be constructed easily by joining all the elements of the circuit together in order.

The components of an electric circuit are:

A cell or a battery, which is the source of electricity.

The connecting wires which act as conductor to flow electric current.

A key or a switch to control the current through the circuit.

A bulb or electric device which act as a load to the circuit.

The length of the electric wire increases the resistance through the circuit and decreases the current flowing through the circuit which in turn dims the bulb.

Therefore, the correct option is B.

Learn more about Electric circuit here:

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A ball with an initial velocity of 12 m/s is rolling up a hill. The ball accelerates at a rate of -2.6 m/s/s.

Answers

Answer:

4.61 seconds

Explanation:

Given data

Initial velocity= 12m/s

acceleration= -2.6m/s^2

From the given data

we can find the time t

we know that

Acceleration= velocity/time

time= velocity/acceleration

time= 12/2.6

time= 4.61 seconds

Answer all of this questions and you will get the brain list

Answers

see below

Explanation:

let One Direction to be the positive and the other direction be negative

let right = positive

left = negative

up = positive

down = negative

a) 100 - 50 = 50N

b) 500 - 330 = 170N

c) 70 - 70 = 0 N

hope this helps

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The Sex Equity in Education Act requires educational institutions to distribute a sexual harassment policy to:
A._ faculty and parents.
B._parents and administrators. C._students and administrators.
D._faculty and students.​

Answers

A.) faculty and parents

show that for a clósed organ pipe only odd harmonics are present wheras for an open organ pipe all the harmonics are present​

Answers

Answer:

For a closed organ pipe, the point at the closed end is always a node, 'N' while the open end is always an antinode, 'A'

Therefore, for a closed organ pipe, we only have;

NA = N↔A = First harmonics = f₁

NANA = NA↔AN↔ NA = Third harmonics, = f₃ = 3·f₁

NANANA = NA↔AN ↔ NA ↔ AN ↔ NA = f₅ = 5·f₁

It can also be shown that for a closed organ pipe, only f₇, f₉, f₁₁, ... are present

Therefore, a closed organ pipe has only odd harmonics present

For an open organ pipe, we have;

ANA = First harmonics = f₁

ANANA = ANA ↔ ANA = Second harmonics = f₂ = 2·f₁

ANANANA = ANA ↔ ANA ↔ ANA = Third harmonics = f₃ = 3·f₁

Similar relationship exist for f₄, f₅, f₆...

Therefore, for an open organ pipe, all harmonics, (multiples of the fundamental, f₁) are present

Explanation:

Which will increase the energy of motion of water molecules?

Answers

A) add heat will be the answer

What is a gear. Please give detailed explanation

Answers

Answer:

gear is part of vehicle.it helps.

Answer:

Explanation:

A gear is a device that transfers mechanical energy from on point to another.

4. Determine the net force for the free-body
diagram
Fnorm = 40N
Ffrict =28N
Fapp =44N
Fgrav = 40N

Answers

Answer:

Fapp =44N is the correct answer

Explanation:

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20 points + Brainliest. Please help!

Which process represents a charge from disorder to order?
A. The free expansion of a gas into a vacuum
B. The condensing of a gas to a liquid
C. The melting of an ice cube in warm water
D. The flow of heat from the interior of a refrigerator to the exterior.

Answers

Answer:

C. the melting of an ice cube in warm water

Answer:  d,a,b,c

i think i dont know if u asked for this answr. but i hope this helped

Explanation:

A hiker has determined which hiking path to take through a national forest (A is the starting point and B is the final destination). Below is the map of that trail. What does the red line most likely represent?
Total displacement from A to B
Total distance of the path from A to B
Both Total displacement and distance of path from A to B
The shortest path between A and B


In the following equation, Vi represents initial velocity and Vf represents final velocity. The equation for average acceleration is a = (Vf - Vi)/t. Solve this formula for t.
t = a/(Vf - Vi)
t = (Vf - Vi)/a
t = a(Vf - Vi)
t = (Vf - Vi)a

Select the 2 equations that show the same correct relationship between Average Velocity, Distance, and Time.
d = vt
t = v/d
v = t/d
v = d/t

NEED HELP ASAP PLEASE HELP

Answers

Haisjdbdjidwjsnididjhsuwiwkbicidjjss djdjdjbe djdisjs disioqke Baud je eifjenjeoe Didier ejdisjjw ejdisjnw ejdogolwmw. Fjivodkebrjivkenei rjridiwjw tjcijdnfuieiowjfn

How do prey and predator affect the resources in an environment?

Answers

It keeps the food cycle in place making everything balanced

Two fixed charges, q1 = +1.07µC and q2 = -3.28µC, are 61.8cm apart. Where may a third charge be located so that no net force acts on it?

Answers

Answer:

12...lollll

Explanation:

.

Answer:

Can u re-write the question please, I dont understand?

Explanation:

in a nuclear plant, 1 * 10 ^27 J of energy is available from mass conversion How much mass was lost ?

Answers

Answer:

[tex]1.2\times 10^{10}\ kg[/tex]

Explanation:

Given that,

The energy of the nuclear plant, [tex]E=10^{27}\ J[/tex]

We need to find how much mass wast lost.

The relation between energy and mass is given by :

[tex]E=mc^2[/tex]

Where

c is speed of light

[tex]m=\dfrac{E}{c^2}\\\\m=\dfrac{10^{27}}{(3\times 10^8)^2}\\\\m=1.2\times 10^{10}\ kg[/tex]

So, [tex]1.2\times 10^{10}\ kg[/tex] of mass was lost.

what are some activities you can do on a regular basis? Physical education​

Answers

activities you can do on a regular basis for physical education​?

If so

WalkingGardeningDancingBicyclingSwimmingYoga


10. CALCULATE: Find the amount of power used in
each of the following examples. Show your
calculations.
a. You use a force of 10 N to move a box
100 m in 10 seconds.
b. An athlete lifting weights does 900 J of
work in 1 second.
c. A truck does 30,000 J of work in
15 seconds.
d. A furniture mover uses a force of 150 N to
push a large trunk 5 m across the floor in
5 seconds.

Answers

Answer:

Please find attached pdf

Explanation:

Which pair of element types is most likely to share valence electrons in a
covalent bond?
A. Two metals
B. A metal and a nonmetal
C. Two nonmetals
D. A metal and a metalloid

Answers

Answer:

It's C, you guys!!!!

Explanation:

MC Qu. 82 A design engineer wants to construct a sample... A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results: Sample Service Life (hours) 1 495 500 505 500 2 525 515 505 515 3 470 480 460 470If he uses upper and lower control limits of 520 and 480 hours, what is his risk (alpha) of concluding servicelife is out of control when it is actually under control (Type I error)? A. 0.0026B. 0.0456C. 0.3174D. 0.6826E. 0.9544

Answers

Answer:

B) 0.0456

Explanation:

It is given that :

Rationale :

UCL = 480

LCL = 480

∴ Mean , [tex]$\bar X = 500$[/tex]

The standard deviation of sample (Sn) = 11.55

Z (for UCL) [tex]$=\frac{\text{UCL - Mean}}{\text{Sn}}$[/tex]

                  [tex]$=\frac{520-500}{10}$[/tex]

                  = 2

Similarly,

Z (for LCL) [tex]$=\frac{\text{LCL - Mean}}{\text{Sn}}$[/tex]

                  [tex]$=\frac{480-500}{10}$[/tex]

                  = -2

Now using the z table for finding the confidence level between Z value of -2 and 2.

Confidence level = 0.4772 + 0.4772

                             = 0.9544

Risk (alpha) = 1 - confidence level

                   = 1 - 0.9544

                   = 0.0456

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