A 30 g mass is attached to one end of a 10-cm-long spring.
The other end of the spring is connected to a frictionless pivot on
a frictionless, horizontal surface. Spinning the mass around in a
circle at 90 rpm causes the spring to stretch to a length of 12 cm.
What is the value of the spring constant?

Answers

Answer 1

The value of the spring constant of the spring is 14.7 N/m.

The given parameters;

mass attached to the spring, m = 30 glength of the spring, L₀ = 10 cmangular speed of the mass = 90 rpmfinal length of the spring, L₁ = 12 cm

The extension of the spring is calculated as follows;

[tex]\Delta x = L_1 - L_0\\\\\Delta x = 12 \ cm - \ 10 \ cm\\\\\Delta x = 2 \ cm = 0.02 \ m[/tex]

The value of the spring constant of the spring is calculated by applying Hooke's law;

[tex]F = mg = k\Delta x\\\\k = \frac{mg}{\Delta x } \\\\k = \frac{0.03 \times 9.8}{0.02} \\\\k = 14.7 \ N/m[/tex]

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Related Questions

Explain why the formation of sand is a physical change.

Answers

In chemical changes new substances are formed and the process is often difficult to reverse. During chemical changes particles do change with atoms or ions regrouping.Bonds between atoms break and new ones
form and energy is either given out or
taken in. Some chemical changes are
initiated by mixing

Answer:

The formation of sand is a physical change because some of the physical properties of the rocks change, but their identities do not. The particles of rock are rearranged as their sizes and shapes change, but their identities and total mass remain the same.

how many band is the parametric microphone equalizer?

Answers

Answer:

3 bands

Explanation:

Basically, the Parametric EQ divides the audio spectrum into three bands, allowing you to enhance (or suppress) the level in that range.

Which are the products in the equation CH3SH + 4O2 → CO2 + SO2 +2H2O? Check all that apply.

Answers

Answer:

ch3sh + 4O2 are the products

Miguel, a single teacher, earns $1,500 every two weeks (biweekly). He claims two allowances. What is his federal income tax withholding for each biweekly paycheck?

Answers

The federal income tax withholding for each biweekly paycheck for the single teacher is $259.9.

The given parameters:

Biweekly amount earned by the single teacher, = $1,500

The federal tax rate for single workers is given as;

amount between $436 and $1,506 = $34.9 plus 15%

The federal income tax withholding for each biweekly paycheck for the single teacher is calculated as follows;

income tax withholding = $34.9  +  0.15($1,500)

income tax withholding = $34.9  +  $225

income tax withholding  = $259.9

Thus, the federal income tax withholding for each biweekly paycheck for the single teacher is $259.9.

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on what factors does the quantity of heat of an object depend​

Answers

Answer:

The quantity of heat given to body depends on: (i) The mass of the body, (ii) The rise (or fall) in the temperature of the body, and (iii) Nature of the material of the body.

Explanation:

Hope this helps

have a great day

~Zero

7. If the speed of light in medium-1 and medium-2 are 2.5x 10 m/s and 2x 10 m/s respectively then the refractive index of medium-1 with respect to medium-2 is (a) 3/2.5 (b) 2/2.5 (c) 2.5/3​

Answers

Answer:

Answer to the question is 4 / 5

To know the answer with proof

see the above attachment

I need some help with this.

Answers

[tex]I = \frac{V}{R} \\ [/tex]

Thus :

[tex]I = \frac{160}{2} \\ [/tex]

[tex]I = 80 \: \: A[/tex]

So :

[tex]V = 160[/tex]

[tex]I = 80[/tex]

[tex]R = 2[/tex]

What is chemical reaction? Give an example of each of exothermic and endothermic reaction​

Answers

Answer:

A chemical reaction is a process that occurs when two or more molecules interact to form a new product(s).

Endothermic reactions are chemical reactions in which the reactants absorb heat energy from the surroundings to form products.

Example:

A popular example of an endothermic chemical reaction is photosynthesis. During this process, plants absorb energy from the Sun and convert it into carbon dioxide and water into glucose and oxygen.

An exothermic reaction releases energy into the surrounding of the system.

Example:

the chemical reaction between sodium and chlorine results in the formation of sodium chloride (also known as common salt).

Drag each tile to the correct location.
Match each process to where it occurs in the carbon cycle.
Ingestion
fossilization
decomposition
combustion
light
energy
oxygen
carbon
dicadde
- sugar
minerak
water
All rights reserved

Answers

The order of the location of each process in the carbon cycle are as follows;

Ingestion → Decomposition → Fossilization → Combustion

Reasons:

Ingestion; During the ingestion process, the products of the direct Sunlight and photosynthesis, which

are energy rich chemical substances are ingested by herbivores.

Decomposition; The plants and animals die and undergo decomposition.

Fossilization; A long period the decomposed plants and animals manifest

into hard petrified materials, with their parts transformed to fossils.

Combustion; The remains of plants and animals, subjected to heat and

pressure due to compression, as when as bacteria decomposition that

removes several other elements, leaving a carbon and hydrogen rich

sludge that can be processed into fuel used for combustion. The

combustion process produces carbon dioxide which restarts the cycle.

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a new planet is discovered that has twice the earth’s mass and twice the earth’s radius. on the surface of this new planet, a person who weighs 500 n on earth would experience a gravitational force of

Answers

Answer: 250n

Explanation:

The formula for gravitational force is: F = (gMm)/r^2

There are two factors at play here:

1) The mass of the planet 'M'

2) The radius 'r'

We can ignore the small M and the g, they are constants that do not alter the outcome of this question.

You can see that both M and r are double that of earth. So lets say earth has M=1 and r=1. Then, new planet would have M=2 and r=2. Let's sub these two sets into the equation:

Earth. F =  M/r^2 = 1/1

New planet. F = M/r^2 = 2/4 = 1/2

So you can see that the force on the new planet is half of that felt on Earth.

The question tells us that the force on earth is 500n for this person, so then on the new planet it would be half! So, 250n!

PLEASE HELP!! WILL GIVE BRAINLIEST IF YOU SHOW WORK. ITS DUE SOON :(

If the radius of the CD below is 6.0 cm and the angular velocity is 5.0 rad/s, what is its angular displacement in 2.0 s? What is it's Linear displacement on the edge in 2.0 s? Please show work :(

Answers

Answer:

theta = ω t = 5.0 / sec * 2 s = 10 rad

S = R theta = 6 cm * 10 rad = 60 cm

The angular displacement of CD if the radius of the CD below is 6.0 cm and the angular velocity is 5.0 rad/s, is 10 rad, and the linear displacement is 60 cm.

What is velocity?

When anything is moving, its velocity tells us how quickly that something's location is changing from a certain vantage point and as measured by a particular unit of time.

If a point moves along a path and covers a certain distance in a predetermined amount of time, its average speed over that period of time is equal to the distance covered divided by the travel time. A train traveling 100 kilometers in two hours, for instance, is doing it at an average speed of 50 km/h.

Given:

The radius of the CD, r = 6 cm,

The angular velocity, v = 5 rad / sec

The time, t = 2 sec,

Calculate the angular displacement by the formula given below,

[tex]v = s / t[/tex]

5 = s / 2

s = 10 rad,

Calculate the linear displacement by the formula given below,

Linear displacement = [tex]r\ s[/tex]

Linear displacement = 6 × 10

Linear displacement = 60 cm

Therefore, the angular displacement of CD if the radius of the CD below is 6.0 cm and the angular velocity is 5.0 rad/s, is 10 rad, and the linear displacement is 60 cm.

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Please answer all questions if you do I mark you

Answers

Explanation:

1. A

2. B

3. I don't know this one but my guess is b

Is the image formed by a plane mirror always real?

True or false?​

Answers

this statement is false

What is the mass of a box if it accelerated 5 m/s from a force of 12 N?

Answers

Answer:

60

Explanation:

You multiply the acceleration and the force and you get your answer

friction and normal force are examples of

Answers

Answer:

Friction is a force that tends to oppose the relative motion between two bodies in contact. Frictional force always acts on a moving body from the direction opposite to the direction of motion. It opposes the motion, and therefore, helps to reduce the speed of the moving object. It is a contact force.

1 point
A hairdryer uses 10 A of current when plugged into a 120 V outlet. How
much power does it use?

Answers

Answer:

1200 watt

Explanation:

P= I*V=10*120=1200watt

The mass of a water skier is 54 kg. Calculate his/her weight if the gravitational field strength is 10 N/kg.

Answers

Answer:

weight=mass×gravity

the mass in this question is 54kg and the gravity is 10

therefore:

w=54×10

=540N

I hope this helps

what happens to light when it travels from air into water

Answers

Answer:

Water is more dense than air. When water goes through a denser thing, the light is "bent" more towards the "normal" which is a straight, vertical line.

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I need help asap! Will give brainliest

Answers

[tex]\\ \tt\hookrightarrow \dfrac{(3\times 10^4kg)(4\times 10^4m)}{6\times 10^4s)}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{12\times 10^8kgm}{6\times 10^4s}[/tex]

[tex]\\ \tt\hookrightarrow 2kgm/s[/tex]

We have calculated momentum

What does electrical energy transform into when used by objects in a home?

Answers

Answer:

What can electrical energy be transformed into?

Electrical energy is transformed into many forms - mechanical/kinetic, sound, heat, light, and other forms of electromagnetic radiation - by everyday appliances.

Explanation:

Answer:

none of the other answers could be correct.

Explanation:

The sun nuclear energy transfers to radiant energy A fire Chemical energy transfers to thermal and radiant energy. wind turbine Kinetic motion energy transfers to electrical energy. Lightbulb Electrical energy transfers to radiant and thermal energy. Radio Electrical energy transfers to sound energy.

A machine does 2500 J of work in 1 min. What is the power developed by the machine?

Answers

Answer:

41.7 watts

Explanation:

power=work done/time

2500/60seconds

=41.6666

a flashlight operates with a current of 3.0 a and a power of 4.5 W. what is the voltage of the flashlights battery?

Answers

Answer:

V=1.5V

Explanation:

p=I×V

4.5=3×V

[tex]v = \frac{4.5}{3} [/tex]

[tex]v = \frac{3}{2} [/tex]

v=1.5

sue and betti both ski straight down a hill, both starting from rest. sue weighs more than betti. neglecting friction and wind resistance, which skier will be moving the fastest at the bottom of the hill?

Answers

Answer:

They are both moving at the same speed since they will have the same acceleration

F = M a    describes acceleration

M a = M g sin theta    where theta is the slope

One can easily see that

a = g sin theta   and the weight does not enter into the equation

do muscle and bone weigh more than fat

Answers

Answer: . You may have heard that muscle weighs more than fat. However, according to science, a pound of muscle and a pound of fat weigh the same. The difference between the two is density.

Explanation:

Muscle weighs more than fat. "In simple terms, a pound of muscle weighs the same as a pound of fat," Heimburger tells WebMD. "The difference is that muscle is much more dense than body fat. Therefore, a pound of muscle will take up much less room in your body than a pound of fat.

What is kinematics . Give two examples​

Answers

Answer:

kinematics explains the terms like acceleration, velocity, and position of the objects while in motion.

Some important parameters in kinematics are displacement, velocity, and time.

Explanation:

your welcome,can you give me the brainliest? plssss

thank me if it was correct for you too.

Answer:

Definition of Kinematics :-

Kinematics is the study of the motion of mechanical points, bodies and systems without consideration of their associated physical properties and the forces acting on them. ... An example model of bodies in a system is the gears in a vehicle's transmission.

Example of kinematics :- The examples for kinematics are given below: -i) Moving train and bus. ii) Motion of a mass on inclined plane. iii) Running water in the river. iv) Falling water from a mountain peak.

Explanation:

Hope this helps you dear ✌️Carry on learning !!


(a) One medium is air, in which the speed of light is 3.00 x 108 m/s. The other
medium is ice, in which light has a speed of 2.29 x 108 m/s. Use this information to
identify medium A and medium B. Explain

Answers

Answer:

WARNING WRONG SPELLING.that is a ternadow and very dangeruse air .

A moving car hits the breaks and starts to slow down. The car was moving 35 m/s when hitting the breaks and slows at a rate of 7 m/s/s. What is the final velocity of the car after 4 seconds?

Answers

7 miles per second.

It would take 5 seconds to stop because 35 divided by 7 = 5.

It would slow 28 miles in 4 seconds because 7 x 4 = 28.

35 - 28 = 7.

What is the relationship between transit duration and orbital period?

Answers

Answer:

The length of time between each transit is the planet's "orbital period", or the length of a year on that particular planet. Not all planets have years as long as a year on the Earth! Some planets discovered by Kepler orbit around their stars so quickly that their years only last about four hours!

I hope it helps.

Answer:

lenght of year po

Explanation:

hope it helps

Explain how the stars impact the shape of a galaxy.

Answers

Answer:

Galaxies are too far away for astronomers to take real 3D measurements, but we can infer their shape based on the movement of stars. ... This is also true of less common spiral galaxies like the Milky Way. The bulge near the center contains older stars, while the flattened arms are home to younger ones.

Explanation:

The orbits of stars can also affect the shape of a galaxy through a variety of density waves that are produced when material is compressed into something comparable to a traffic jam in galaxies.

What is Star?

A star is defined as a celestial object consisting of a luminous sphere of plasma held together by self-gravity where the closest star to Earth is the Sun. While many other stars are visible to the uncovered eye at night, their extreme distance from Earth causes them to appear as fixed points of light.

Galaxies are too far away for astronomers to take true 3D measurements, through which we can estimate their size based on the motion of stars, which is also true for less common spiral galaxies like the Milky Way.

Thus, the orbits of stars can also affect the shape of a galaxy through a variety of density waves that are produced when material is compressed into something comparable to a traffic jam in galaxies.

Learn more about stars, here:

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NEES HELP!!!!
Which of the following is "NOT" a theory of the formation of the universe?
A. Steady State Theory
B. Doppler Theory
C. Oscillating Theory
D. Big Bang Theory

Answers

Answer:

Doppler Theory

Explanation:

it's a theory regarding the change in wave frequency during the relative motion between a wave source and its observer.

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