13. A mass of 1 kg undergoes simple harmonic motion with amplitude of 1 m. If the period of the oscillation is 1 s, calculate the internal energy of the system.

Please show all of your work.

Answers

Answer 1

first we need omega

T=1s

Hence

[tex]\\ \rm\rightarrowtail \omega=\dfrac{2\pi}{T}=2\pi[/tex]

Now

Total energy:-

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}m\omega ^2A^2[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(1)(2\pi)^2(1)^2[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(4\pi ^2[/tex]

[tex]\\ \rm\rightarrowtail 2\pi ^2[/tex]

[tex]\\ \rm\rightarrowtail 2(3.14)^2[/tex]

[tex]\\ \rm\rightarrowtail 19.72J[/tex]


Related Questions

why is the freezing compartment kept at top in a refrigerator?

Answers

Answer:

Because Geography says the higher one goes the colder it gets

Answer:

The nature of convection.

Explanation:

Warm air rises; cold air falls, so the freezer at the top provides cold air for the other compartments at the bottom.

2 eggs cook in a frying pan, which is sitting over a gas burner. Is thermal energy being transferred from the metal pan to the eggs by radiation in this image? Why or why not?

Answers

Hope that helps have a good day though.

Answer:

No, the eggs are in direct contact with the metal pan, which is in direct contact with the gas flame, so this is conduction, not radiation

Reasons:
-Thermal energy is being transferred by conduction.

-Radiation transfers thermal energy by electromagnetic waves.

-Radiation does not transfer thermal energy by direct contact.

Radiation heat transfer is a process where heatwaves are emitted that may be absorbed, reflected, or transmitted through a colder "body". Sun heats the earth by electromagnetic waves. The sun does not come in physical contact with the Earth to transfer heat. (In my opinion, the Earth touching the sun would not be on my to-do list.)



Explanation:

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Why do you only see one side of the moon? Lesson 3. 05 Question 12 options:

A:The moon only has one side

B:The rotational period is greater than to the period of revolution for the moon

C: The rotational period is equal to the period of revolution for the moon

D:The rotational period is less than the period of revolution for the moon

Answers

Answer:

The Moon orbits Earth once every 27.3 days and spins on its axis once every 27.3 days. This means that although the Moon is rotating, it always keeps one face toward us. Known as “synchronous rotation,” this is why we only ever see the Moon's nearside from Earth.

I hope this helps you out

Amber is a
(a) metal
(b) rubber
(c) resin
(d) sugar

Answers

Answer:

c. Resin.

Explanation:

Amber is a resin.

What is the velocity of ab 8 kg lead shoot-out if it has 484 j

Answers

Answer:

attached image

Explanation:

How does a white dwarf compare to our sun as it exists now?.

Answers

Answer:

answer down below

Explanation:

it has similar mass but the white dwarf is much denser

When do humans store fat molecules in their bodies? (1 pt. ) *

1. Humans store fat molecules every time they eat anything that contains Calories.

2. Humans store fat molecules when they eat food with a lot of fat.

3. Humans store fat molecules when they eat junk food.

4. Humans store fat molecules when they eat more Calories than they need.

Answers

Answer- 2. Humans store fat molecules when they eat food with a lot of fat.

a measuring cylinder has a mass of 180g when empty. When a liquid is poured into the cylinder, the level rises to the 95m³ mark. Total mass is now 292g. What is the density of the of the liquid in g/cm³​

Answers

Answer:

d (density) = m / V = (292 - 180) g / 95 cm^3 = 1.18 g / cm^3

(water is 1 gm / cm^3)

A metal spoon was placed in a dish of ice cream and became cool. Which correctly describes the heat transfer process that resulted in the cooling of the spoon?.

Answers

Answer:

The heat went from the i cream to the spoon making it cool.

Explanation:

i just know.

Which statement describes characteristics of a convex lens? A convex lens diverges light and curves inward. A convex lens diverges light and curves outward. A convex lens converges light and curves inward. A convex lens converges light and curves outward.

Answers

Answer:

D, A convex lens converges light and curves outward.

Explanation:

edge

A convex lens converges light and curves outward.

What is a convex lens ?

A lens that is thin at the bottom and upper edges and somewhat thick in the middle is referred to as a convex lens. The edges are not bent inside, but rather outward.

Here,

In a convex lens, the light rays travelling parallel to its principal axis are converged by it (i.e., the incident rays are directed towards the principal axis).

Since all of the light rays that are refracted by a convex lens eventually converge at a single point, where the image is created, the convex lens is also known as a converging lens.

A converging lens produced a virtual image when the object is placed in front of the focal point.

Hence,

A convex lens converges light and curves outward.

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project: weather forcasting
Instructions
Click the links to open the resources below. These resources will help you complete the assignment. Once you have created your file(s) and are ready to upload your assignment, click the Add Files button below and select each file from your desktop or network folder. Upload each file separately.

Answers

B that is the correct answer

A hockey puck of mass 150 g is sliding south along the ice and slows at a rate of 1.2m/s2. What is the net force acting on the puck?

Answers

Answer: another force on puck?

Force is a vector quantity characterized by the rate of change of momentum.

Mathematically, it is the product of mass and acceleration.

F = m × a

=> F = (150/1000) × (-1.2)

=> F = -0.18 kg m/s²

=> F = -0.18 N

Hello people ~
what's the value of acceleration due to gravity on earth?​

Answers

Answer:

9.8 m/s2

Its value is 9.8 m/s2 on Earth. That is to say, the acceleration of gravity on the surface of the earth at sea level is 9.8 m/s2. When discussing the acceleration of gravity, it was mentioned that the value of g is dependent upon location.

Who developed the principle of whenever 2 objects come into contact with one another, materials are exchanged between them?.

Answers

Answer:

Edmond Locard

Explanation:

Hope this helps :)

Give two examples that provide evidence for the presence of terrestrial magnetism?

Answers

Explanation:

When a magnetic body is buried inside the earth in North-South direction, it gets magnetized due to the effect of terrestrial magnetism. A freely suspended magnet faces North-South direction.

How much force would you need to cause a 20-kilogram object to accelerate in a straight line to 20 m/s2?

Answers

Answer:

400N

Explanation:

Newton's second law of motion

F = ma

20 x 20 = F

F = 400

The free-body diagram below represents all the forces acting on an object. What is the net force acting on this object?





300 N right

100 N down

0 N up

200 N right

Answers

Answer:

200 N Right

Explanation:

The 50 up and 50 down  balance or 'cancel' each other

   then you only have the 200 N to the right

What would happen to the particles in this box if it lost heat energy?






the particles would slow down and become less dense

the particles would slow down and become denser.

The particles would speed up and become denser

the particles inside of the box would evaporate

Answers

Answer:

A

Explanation:

i think its A

It is diffult to measure the volume of gas.Why?​

Answers

Answer:

The volume of a gas is dependent on pressure and temperature.

Explanation:

Pressure and temperature affect different gases differently giving varied conclusions to the exact volume of that gas.

:-befrank

Because it depends on the temperature and pressure of the gas too

What do you think about Turkey??​

Answers

very good very nice lolllllllllllllllll

Determine the slope of end a of the cantilevered beam. E = 200 gpa and i = 65. 0(106) mm4

Answers

For E = 200 gpa and i = 65. 0(106) mm4,  the slope of end a of the cantilevered beam  is mathematically given as

A=0.0048rads

What is the slope of end a of the cantilevered beam?

Generally, the equation for the   is mathematically given as

[tex]A=\frac{PL^2}{2EI}+\frac{ML}{EI}[/tex]

Therefore

A=\frac{10+10^2+3^2}{2*240*10^9*65*10^6}+\frac{10+10^3*3}{240*10^9*65*10^{-6}}

A=0.00288+0.00192=0.0048rads

A=0.0048rads

In conclusion,  the slope is

A=0.0048rads

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The value of slope of end a of the cantilevered beam when E = 200 gpa and i = 65. 0(106) mm4 is 0.0048 rads.

How to find the slope at the end of the cantilevered beam?

The formula used to find the slope at the end of the cantilevered beam is,

[tex]A=\dfrac{PL^2}{2EI}+\dfrac{ML}{EI}[/tex]

Here, (M) is the momentum, (EI) is flexural rigidity, (P) is concentrated load and (L) is the length of the beam.

Concentrated load is 10 KN and uniform load is 3 kN/m. E = 200 gpa and i = 65. 0(106) mm4.

[tex]A=\dfrac{10+10^2+3^2}{2\times240\times10^9\times65\times10^6}+\dfrac{10+10^3\times3}{240\times10^9\times65\times10^{-6}}\\A=0.00288+0.00192A=0.0048 \rm\; rads[/tex]

Thus, the value of slope of end a of the cantilevered beam when E = 200 gpa and i = 65. 0(106) mm4 is 0.0048 rads.

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Which claim do scientists use to describe electromagnetic radiation?


(1 point)

Electromagnetic radiation exhibits properties of particles only.


Electromagnetic radiation exhibits properties of both particles and waves.


Electromagnetic radiation doesn't exhibit properties of either particles or waves.


Electromagnetic radiation exhibits properties of waves only.

Answers

Answer:c

Explanation: I took the identifying claims quick check and the answers are 1.yes it can be 2. No because it is an opinion 3.claims 4.it is prediction 5.both particles and waves 6.a wave model is most useful

Scientists use to describe electromagnetic radiation as It exhibits properties of both particles and waves. The correct option is B.

What is an electromagnetic wave?

An electromagnetic wave is a type of wave that consists of oscillating electric and magnetic fields that travel through space at the speed of light.

Electromagnetic waves are produced by the movement of charged particles and are characterized by their frequency, wavelength, and amplitude.

Electromagnetic waves include a wide range of frequencies, which together form the electromagnetic spectrum. The spectrum includes radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. Each of these types of electromagnetic waves has a different frequency and wavelength, which determines its properties and how it interacts with matter.

Here in the question,

Scientists describe electromagnetic radiation as exhibiting properties of both particles and waves.

This is known as the wave-particle duality of electromagnetic radiation, which means that electromagnetic radiation can exhibit both wave-like and particle-like behavior depending on how it is observed or measured.

The wave-like behavior is described by its frequency, wavelength, and amplitude, while the particle-like behavior is described by its energy, momentum, and photons.

Therefore, The electromagnetic wave shows duality i.e both particle and wave properties.

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what is electric charge?​

Answers

Answer:

Electric Charge is the property associated with matter due to which it produces and experiences electric and magnetic effect

What led to Henry Ford’s success as an entrepreneur?


His personal wealth.
His innovative production methods.
His commitment to improving labor laws.









What happens when volcanoes release greenhouse gases into the atmosphere?

The climate gets warmer.
The climate gets cooler.
Winter becomes longer.
Summer becomes longer.





His desire to pay high wages.

Answers

What led to Henry Ford’s success as an entrepreneur?

His innovative production methods

What happens when volcanoes release greenhouse gases into the atmosphere?

The climate gets warmer
How innovative production methods

Should the kinetic coefficient of friction and the static coefficient change with a different mass

Answers

Explanation:

No. Surface contact area also no. The main issue is the types of materials in contact. Surface roughness somewhat matters. Certain surfaces such as ice are special in that pressure melts the ice.

Gwen runs back and forth along a straight track. During the time interval 0≤t≤45 seconds, gwen’s velocity, in feet per second, is modeled by the function v given by v(t)=250sin(t2120)t 6

Answers

Gwen's position is a function of his velocity and time

Gwen's position at 45 seconds is 63.9 feet

How to determine Gwen's position at 45 seconds?

The function is given as:

v(t) = 250sin(t^2/120)/(t + 6)

When t = 45, we  have:

v(45) = 250sin(45^2/120)/(45 + 6)

Evaluate the sum, the exponent and the quotient

v(45) = 250sin(16.875)/(51)

Evaluate the sine ratio

v(45) = 250 * 0.2903/51

Evaluate the product and quotient

v(45) = 1.42

The position is then calculated as:

S(45) = v(45) * 45

This gives

S(45) = 1.42 * 45

Evaluate the product

S(45) = 63.9

Hence, Gwen's position at 45 seconds is 63.9 feet

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The displacement is the shortest between any two given points. The displacement of Gwen at the time period of 45 seconds is 63.9 feet.

What is displacement?

The displacement is the shortest between any two given points. It is the product of velocity and time.

Given that the function of the velocity is [tex]v(t)=\dfrac{250\sin\left(\frac{t^{2}}{120}\right)}{\left(t+6\right)}[/tex]. Therefore, substitute the value of t as 45, to know the velocity of Gwen at 45 seconds,

[tex]v(t)=\dfrac{250\sin\left(\frac{t^{2}}{120}\right)}{\left(t+6\right)}[/tex]

[tex]v(45)=\dfrac{250\sin\left(\frac{45^{2}}{120}\right)}{\left(45+6\right)}\\\\v(45) = 1.42[/tex]

Since displacement is the product of velocity and time, therefore, the displacement is equal to,

[tex]s = v \times t\\\\s = 1.42 \times 45\\\\s = 63.9\rm \ feet[/tex]

Hence, the displacement of Gwen at the time period of 45 seconds is 63.9 feet.

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In a pendulum, a continuous change occurs between kinetic and
potential
electromagnetic
thermal
mechanical

Answers

[tex] \sf \qquad \qquad \huge \underbrace{єхplαnαtiσn}[/tex]

The correct choice is A

❖ whєn wє tαlk αвσut α pєndulum, ít gσєѕ thrσugh ❝ tσ αnd frσ ❞ mσtíσn, αlѕσ knσwn αѕ hαrmσníc mσtíσn. αѕ вєíng ín thє cαѕє σf α pєndulum, thєrє'ѕ α cσntínuσuѕ chαngє ín kínєtíc αnd pσtєntíαl єnєrgч.

❖ whєn thє вσв íѕ αt mєαn pσѕítíσn, ít hαѕ ítѕ mαхímum vєlσcítч, αnd thє nєt fσrcє αnd αccєlєrαtíσn αctíng σn ít íѕ zєrσ, thєrєfσrє ít hαѕ mαхímum kínєtíc єnєrgч αt thαt pαrtículαr ínѕtαnt.

❖ whєrє αѕ, íf thє вσв íѕ αt σnє σf thє єхtrєmє pσѕítíσnѕ, ítѕ vєlσcítч вєcσmєѕ zєrσ, αnd thє αccєlєrαtíσn αnd fσrcє αctíng σn ít íѕ mαхímum, ѕímcє ít hαѕ nσ vєlσcítч, thєrєfσrє ít hαѕ nσ kínєtíc єnєrgч αt thαt ínѕtαnt, thє σnlч єnєrgч ít hαѕ αt thαt tímє íѕ pσtєntíαl єnєrgч.

❖ ѕíncє thє mσvєmєnt íѕ cσntínuσuѕ, cσntínuσuѕ chαngє ín єnєrgч σccurѕ, вut thє ѕum σf вσth thє єnєgíєѕ rєmαínѕ cσnѕtαnt αt єvєrч ínѕtαnt.

[tex]\qquad \qquad\huge \dag\normalsize\sf \boxed{\underline{ǤríʍɌεαƿєr}} \: \huge \dag[/tex]

What is stated in the 1st Law of Motion?

Answers

Answer:

Newton's first law: the law of inertia

Newton's first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.

Explanation:

Anything aka if a body is at constant speed in a straight line it would probably remain or keep moving in a straight line unless something slows it down like Fricton.

You are part of a police unit that has found a powder in a suspect's home. You think it might be a new drug called XYZ. XYZ is an ionic compound that dissolves in water. However, what you think might be a drug may just be salt. Unfortunately there seems to be iron fillings and sand mixed in with the white powder. Your job is to isolate the white powder before sending it to the police lab to be tested to determine if it is salt or XYZ. Give step by step directions on exactly how you will separate your mixture of white powder, iron fillings, and sand.

Answers

The steps in the separation include;

Use of magnetaddition of water and filtrationEvaporation

Separation techniques

Separation techniques has to do with how to obtain a substance in the presence of other substances. In this case, we have the substance XYZ mixed with iron filling and sand.

The separation process begins by using a magnet to remove all the iron fillings. Secondly, water is added and the substance XYZ dissolve in water since it is ionic. The sand can be separated form the solution by filtration.

Lastly, the solution is evaporated and the pure XYZ is obtained and sent to the police lab for analysis.

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How long does it take for jupiter to rotate on its axis.

Answers

Answer:

10 hours.

Every 10 hours, Jupiter will rotate at least once. It takes 12 years for Jupiter to make a revolution. This is because Jupiter is a gas, non-solid planet and also has a very large mass.

Answer: 10 Hours

Explanation:

Jupiter is the fastest spinning planet in the solar system

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