if an object of mass mm attached to a spring is replaced by one of mass 16m16m, the frequency of the vibrating system changes by what factor? that is, what is f_{new}/f_{old}f new /f old

Answers

Answer 1

The ratio of the new frequency to the old frequency (f_new / f_old) is 1/4.

The frequency of the vibrating system depends on the size and the spring constant. In this case, we have an object of size m attached to the spring, which is replaced by an object of size 16m.

We need to determine how this change in mass affects the frequency of the system. The formula for the frequency (f) of the vibrating system

is:

f = (1 / 2π) * √(k / m),

where k is the spring constant and m is the mass.

Let's define the original frequency as f_old and the new frequency as f_new.

We can express the ratio of the new frequency to the old frequency as follows:

(f_new / f_old) = (√(k / (16m))) / (√(k/m))).

Simplified equation:

(f_new / f_old) = (√(k / (16m))) / (√(k / m)) = (√k / √(16m)) * (√m / √k ) .

Subtract the square root of the spring constant, leaving

(f_new / f_old) = (√m / √(16m)) = (√m / (4√m)) = 1/4.

Therefore, the ratio of the new frequency to the old frequency (f_new / f_old) is 1/4.

This means that when the size of the vibrating system increases by 16 times (from m to 16m), the frequency of the system decreases by 4 times. The larger the size, the slower the body vibrates due to inertia, resulting in a lower frequency.

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Related Questions

Three identical resistors have an equivalent resistance 15.6 ohm when they are connected in series. What is the resistance for each resistor

Answers

Answer:

[tex]R=5.2\ \Omega[/tex]

Explanation:

In series combination, the equivalent resistance is given by :

[tex]R_{eq}=R_1+R_2+R_3+...[/tex]

Let the identical resistors be R. We have, [tex]R_{eq}=15.6\ \Omega[/tex]

So,

[tex]R+R+R=15.6\\\\3R=15.6\\\\R=\dfrac{15.6}{3}\\\\R=5.2\ \Omega[/tex]

So, the resistance of each resistor is [tex]5.2\ \Omega[/tex].

Un automóvil viajó 186.4 Km a una velocidad constante de 57 Km/h. ¿Cuánto tiempo se necesitó para el viaje?

Answers

Answer:

  t = 1.177 10⁴ s

Explanation:

For this exercise we use the uniform motion relationships

         v = x / t

         t = x / v

let's reduce the magnitudes to the SI system

          v = 57 km / h (1000m / 1km) (1h / 3600s) = 15.833 m / s

          x = 186.4 km (1000m / 1 km) = 186.4 10³ m

let's calculate

         t = 186.4 10³ / 15.833

         t = 11.77 10³ s

         t = 1.177 10⁴ s

a golf club is swung and strikes a golf ball with a force of 12.2 N. The golf ball accelerates at 265.2 m/s2. Calculate the mass of the golf ball. Show your work and include the correct unit.

Answers

Answer:

[tex]0.046\ kg[/tex]

Explanation:

[tex]We\ are\ given\ that,\\Acceleration\ produced\ on\ the\ golf\ ball\ due\ to\ Force\ exerted=265.2\ m/s^2\\Magnitude\ of\ the\ Force\ exerted\ over\ the\ Golf-Ball=12.2\ N\\We\ know\ that,\\'The\ force\ acting\ on\ an\ object\ is\ equivalent\ to\ the\ product\ of\ it's\ mass\\ and\ the\ acceleration\ produced'.\\Or,\\F=ma\\Let\ the\ mass\ of\ the\ golf\ ball\ be\ m,\\Hence,\\12.2=265.2\ m\\m=\frac{12.2}{265.2}=0.046\ kg[/tex]

An 18kg block moving at 6 m/s has kinetic energy of

Answers

½ × 18 × 6² = 324 J

hope that helps^^

Identify the phase and division I or II for the following:
Metaphase II
Metaphase I
Telophase II
Cytokinesis

Answers

Answer:

Metaphase II

Explanation:

Metaphase II is the division of two daughter cells and is when sister chromatids line up in the middle of the cell.  This is what appears to be happening in the image.  Additionally, you can see that the chromosomes have already crossed over.  

Metaphase I only involves 1 cell, not 2 daughter cells.

Telophase II and Cytokinesis are when the cell splits.  Also, Telophase II would result in 4 daughter cells, not just 2.  

4.) The diagram to the right is the orbit of a comet:
A) Label the two focal points
B) Label the Perihelion
C) Label the Aphelion

Answers

Answer: This is what I found hope it helps

Explanation:

What is the name of the relationship between period and frequency?

Answers

Answer:

Periodic motion is a repetitious oscillation.

Explanation:

The time for one oscillation is the period T. The number of oscillations per unit time is the frequency f. These quantities are related by f=1T f = 1 T .

Why is it that a car traveling in the opposite direction as the car in which you are riding on the freeway often looks like it is moving faster than the speed limit?

Answers

It’s because of the theory of special relativity:
Object moving faster than your view actually move through time quicker.
Einstein actually proved this. Pretty neat

Alli was in the park playing on the equipment. she noticed that on the highest slide she slides down

Answers

Explanation:

veiebrlrkorvziveieviebelebenduvrvr

Alli was in the park playing on the equipment. She noticed that on the highest slide, she slides down with the greatest speed. The correct option is C.

What is the relation between height and speed?

Height is the measurement of someone or something from head to foot or from base to top.

The curved slide is the fastest, despite being longer than the other circuits. This is due to the fact that it is steeper at first, leading the ball to be more affected by gravity and accelerate more quickly before reaching its top speed.

When two items rub against one another, as a slide and a person's bottom, friction is created. A slide would accelerate the rider too quickly without friction, possibly injuring them. Various substances known as lubricants can lessen the impact of friction.

Therefore, the correct option is C) With the greatest speed.

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The question is incomplete. Your most probably complete question is given below:

A) Without friction

B) with the slowest speed

C) With the greatest speed

D) with the same speed as the shortest slide

All living things are closely related to their _______________________. Any change in one part of an environment causes a __________________________________________________

Answers

environment, stimulus (or adaptation).

All living things are closely related to their environment. Any change in one part of an environment causes a stimulus.

What is an Environment?

All living or non-living objects that occur naturally, or in this example, without the use of artificial means, are included in the natural surroundings or natural world. The phrase is most frequently used with reference to Earth or certain regions of it.

An environment encompasses all that surrounds us, including both living and dead objects like water, soil, plants, and animals that can adapt to their environment. The gift of nature is what sustains life on Earth.

Environment can be summed up as the effects of every one of the living or non-living things that have an impact on human life. Non-living or abiotic elements include water, land, sunshine, rocks, and air, whereas all live or biotic components are animals, plants, forests, fisheries, and birds.

Thus, all living things are closely related to their environment. Any change in one part of an environment causes a stimulus.

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The model shows eight positions of the moon around Earth during the
lunar cycle.
In which positions would a first
quarter moon and last quarter moon
appear to an observer on Earth?
Lunar Cycle
1
Sunlight
First quarter: position 1
Last quarter: position 5
N
8
B
First quarter: position 2
Last quarter: position 6
First quarter: position 3
Last quarter: position 7
اليا
3
CM

Answers

Answer: 1-5 so A

Explanation:

if u just look at a diagram of like the moons it says that

The moon changes shape every day the changes in their shape are defined as the moon phase. In positions 1 and 5 first-quarter moon and last quarter moon appear to an observer on Earth.

What is the moon phase?

The moon changes shape every day. This is due to the fact that the celestial body has no light of its own and can only reflect sunlight.

Only the side of the moon facing the sun can reflect this light and seem bright. On the opposite side appears black is a full moon.

We can only see the black section when it lies between the sun and the earth when a new moon occurs. We witness intermediate phases like a half-moon and crescent in between these two extremes.

The moon changes shape every day the changes in their shape are defined as the moon phase.

In general, we may estimate the third by knowing any two of the following three things

(1) the moon's position in the sky

(2) the moon phase

(3) the time

Hence in positions 1 and 5 first-quarter moon and last quarter moon appear to an observer on Earth.

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1. Choose the statement that does not accurately describe observations

Answers

Answer:What are the statements?

Explanation:

Answer:

obtuse, oblique, unaware, over stimulate, distracted, undrewhelmed...

Considere que helicóptero para na altitude a que voava para largar uma caixa de 90 kg para o solo.

Answers

Answer:

El peso es de 882 newton.

Explicación:

El helicóptero se detiene a la altura en la que volaba para dejar caer una caja de 90 kg al suelo, el peso de la caja llega hasta los 882 Newton porque el peso es una fuerza dirigida hacia el centro de la tierra y depende de la gravedad. La fórmula del peso es multiplicar la masa por la gravedad, de modo que cuando se multiplican 90 kg de masa por 9,8 metros / seg2, obtenemos el peso del objeto que es 882 newton.

Round off to the nearest one (units place):
(a) 57.326 57.000
(b) 8.808
(c) 290.752
(d) 1394.301
(e) 434.28​

Answers

Answer:

a

Explanation:

Answer:

(a) 57

(b) 9

(c) 291

(d) 1394

(e) 434


The greater the mass of an object.

Answers

Answer:

Mass is the measure of an object's matter (what it's made up of). The greater an object's mass, the greater its gravitational force. The earth has a strong attracting force for objects with smaller mass (including the moon), and the sun has an attracting force on the earth and other planets in our solar system.

A bus negotiates a curve of radius 487 m. What force will be exerted on an 80 kg passenger by the outside wall of the bus when it is traveling at 60 km/h?

Answers

Answer:

Centrifugal Force = 45.65N

Explanation:

Given the following data;

Mass, m = 80kg

Radius = 487m

Velocity = 60km/h to m/s = 60*1000/3600 = 16.67m/s

To find the centrifugal force;

Centrifugal Force = mv²/r

Substituting into the equation, we have;

Centrifugal Force = 80*16.67²/487

Centrifugal Force = 80*277.89/487

Centrifugal Force = 2223.12/487

Centrifugal Force = 45.65N

pls help i’ll give brainliest if you give a correct answer!!

Answers

Answer:

D

Explanation:

The bowling ball has a greater mass, so there's more stuff for gravity to act on. In that sense, gravity is pulling on it more. But it still doesn't fall any faster

Answer:

D: The acceleration of the gold ball will be greater than that of the bowling ball.

Hopefully this is right

Explanation:

The ball is lighter and bowling ball is heavy

When the comet passes close to the sun, it has a visible tail. Typically, the comet is only visible for a matter of days while it may be invisible for years. Why does the comet spend so little time close to the sun?

Answers

Answer:

The comet is locked in the Sun's gravity. as it falls deeper in the gravity we'll, its velocity increases. As is travels closer to the Sun, it is trying to break away, but cannot. This transforms into a sideways movement that produces a tight turn. It races further out of the gravity well, and sheds velocity.

What’s the answer please?

Answers

Answer:

C

Explanation:

Hope this helps!

please say something i dk which one

Answers

The answer is C!!!!!!!

How many electrons would be needed to give a cobalt atom (that has 27 protons and 28 neutrons) a net charge of zero?​

Answers

Answer:

The answer would be 123

Plzzz help. Will give branliest.

Why should experiments be replicable?

A. So that the materials used can be validated.
B. So that scientists can gain popularity in the community.
C. So that fewer errors will be made and the data appear to be more correct.
D. So that others can repeat experiment and obtain similar results.

Answers

D. So the scientists can repeat the same experiment and get the same or similar results.

Answer:

C

Explanation:

What is the kinetic energy of the ball as it is half way through the fall?

Answers

Therefore, the kinetic energy of the ball will be equal to the potential energy of the ball at minus the potential energy of the ball at . i.e. It is a common sense as the ball has fallen halfway, half of its potential energy is converted into the kinetic energy

Describe each part of the scentific method explain why it is important to follwo this structure when conducting a scietifc investigation

Answers

Answer:

Asking a question

Research existing sources

Define an hypothesis

Design and conduct a study

Draw conclusion

Report result.

Explanation:

Scientific study simply means establishing the existence or proving the veracity of an hypothesis, hence making it a fact. A scientific study follows an orders set of procedure;

Asking a question is the first step as this is what prompts the research, question usually stems after making an observation.

The a observation made and question asked will lead to making research on the observed phenomenon, this is to check if such question has been asked in the past and maybe any scientific study as been carried out in the past.

To make research further, an hypothesis is defined in a bid to find more evidence to support one's observation through experiment.

Study design and implementation is next as the type of study to be embarked upon will determine which type of design preparation and study pattern to deploy.

Conclusion a d report of observations made are the last part of a scientific study which is key as all outcomes of the study should be adequately detailed in an understandable format while also ensuring reproducibility.

emergency plsss is copper stronger than bricks or that's all the way the opposite pls write ur answer clearly n' I will give 15 points and mark brainliest who answers first so hurry up

Answers

copper is stronger than bricks!

An 12 kg object accelerating from 9 m/s to 14 m/s. What is the change in momentum of the object?

Answers

Answer:

Change in momentum = 60kgm/s.

Explanation:

Given the following data;

Mass, m = 12kg

Initial velocity, u = 9m/s

Final velocity, v = 14m/s

Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.

Mathematically, momentum is given by the formula;

[tex] Momentum = mass * velocity [/tex]

To find the change in momentum;

Mathematically, change in momentum is given by the formula

[tex] Change \; in \; momentum = m(v - u) [/tex]

Substituting into the equation, we have;

[tex] Change \; in \; momentum = 12(14 - 9) [/tex]

[tex] Change \; in \; momentum = 12*5[/tex]

Change in momentum = 60kgm/s.

Which option correctly matches the chemical formula of a compound with its name?​

Answers

Answer:

d

Explanation:

the correct chemical formula of a compound with its name is NO₂, Nitrogen Dioxide, the correct option is D.

What is a Chemical compound?

The chemical compound is a combination of two or more  either similar or dissimilar chemical elements

for example, H₂O is a chemical compound made up of two oxygen atoms and a single hydrogen atom

The correct chemical formula for nitrogen Dioxide is NO₂

Learn more about a chemical compound

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difference between the fertility rate and mortality rate of developed and least development countries
3/3 points.​

Answers

Answer:

The replacement fertility rate is indeed only slightly above 2.0 births per woman for most industrialized countries (2.075 in the UK, for example), but ranges from 2.5 to 3.3 in developing countries because of higher mortality rates, especially child mortality. pls give brainlest

Why do we have two colors of arrows on the map?​

Answers

Answer:

To differentiate the two concepts each colour represents (perhaps)

Explanation:

Where is the map?

Answer:

such as green representing forested land and blue representing waterways.

mineral salt compounds (calcium chloride, table salt)

Answers

Answer:

Chloride and Salt

Explanation:

that make up table salt, a.k.a. sodium chloride (NaCl). ... As sodium chloride (NaCl) or calcium chloride (CaCl2) dissolve in water, ... the compound formed when a positive ion combines with a negative ion out of solution, but ... waters may have more if there is weathering or leaching from nearby mineral-rich soils and rocks.

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