A spring with spring constant 35 N/m is attached to the ceiling, and a 5.5-cm-diameter, 1.3 kg metal cylinder is attached to its lower end. The cylinder is held so that the spring is neither stretched nor compressed, then a tank of water is placed underneath with the surface of the water just touching the bottom of the cylinder. When released, the cylinder will oscillate a few times but, damped by the water, quickly reach an equilibrium position.

Requried:
When in equilibrium, what length of the cylinder is submerged?

Answers

Answer 1

Answer:

Explanation:

Let length of cylinder submerged be L .

Upward force due to restoration force of spring = k L

= 35 L .

Buoyant force by water in upward direction = Vρg

V is volume of water displaced , ρ is density of water , g is acceleration due to gravity .

V = π R²L , R is radius of cylinder

V = 3.14 x (2.75 x 10⁻²)² x L

= 23.75 x 10⁻⁴ L

Buoyant force by water in upward direction =23.75 x 10⁻⁴ L X 1000 X 9.8

= 23.275L  N

Total upward force = 35 L + 23.275L  

= 58.275 L

For equilibrium ,

Total upward force = weight of cylinder

58.275 L = 1.3 x 9.8

L = .2186 m

= 21.86 cm


Related Questions

The low-frequency speaker of a stereo set produces 10.0 W of acoustical power. If the speaker projects sound uniformly in all directions, at what distance from the speaker is the intensity level 80.0 dB

Answers

Answer:

the required distance is 89.125 m

Explanation:

Given the data in the question;

we know that, sound intensity B in decibels of sound is;

β(dB) = 10log₁₀( [tex]I[/tex] / [tex]I_0[/tex] )

where intensity [tex]I[/tex] = power / area carried by wave

[tex]I_0[/tex] = 10⁻¹² W/m² { minimum threshold intensity }

Now,

intensity [tex]I[/tex] = power / area carried by wave = P/A = P/4πr² { spherical  }

given that; β = 80.0 dB and P = 10 W

so

β(dB) = 10log₁₀( [tex]I[/tex] / [tex]I_0[/tex] )

we substitute

80 = 10log₁₀( P / 4πr²× [tex]I_0[/tex])

80 = 10log₁₀( 10 / 4πr²× 10⁻¹² )

8 = log₁₀(10) - log₁₀( 4πr²× 10⁻¹² )  

8 = 1 - log₁₀( 4πr²× 10⁻¹² )

8 - 1 = -log₁₀( 4πr²× 10⁻¹² )

7 = -log₁₀( 1.2566 × 10⁻¹¹ × r² )

7 = -[ log₁₀( 1.25 × 10⁻¹¹) + log₁₀( r² ) ]

7 = -[ -10.9 + log₁₀( r² ) ]

7 = 10.9 - log₁₀( r² )

-log₁₀( r² ) = 7 - 10.9

-log₁₀( r² )  = - 3.9

log₁₀( r² ) = 3.9

2log₁₀r = 3.9

log₁₀r  = 3.9 /2

log₁₀r = 1.95

r = 89.125 m

Therefore, the required distance is 89.125 m

The speed of sound is approximately 340 m/s.what is the wavelength of a sound wave with a frequency of 1000Hz

Answers

Answer:

34cm

Explanation:

Donna and Dave were participating in a lab on the properties of water. First, they tried to see how many drops of water they could fit on a penny. Then they dropped water and alcohol on waxed paper and observed what happened. Next they made a streak of water and then alcohol on the lab bench. The alcohol streak dried up and disappeared first. Donna and Dave had to write an explanation for everything that happened during the lab. How can they explain the disappearing alcohol? A) Alcohol is flammable. B) Alcohol has a lower boiling point than water. C) Alcohol has a lower melting point than water. D) Alcohol has a higher boiling point than water.

Answers

Answer:

D

Explanation:

D ok ok ok ok bye

The correct statement is that the alcohol has lower boiling point than water. The correct option is B.

What is boiling point?

At the boiling point, the pressure exerted by the surroundings on a liquid equals the pressure exerted by the liquid's vapor, under this condition, adding heat outcomes in the transformation of the liquid into its vapor without raising the temperature.

The boiling point of alcohol is low. Because there is less hydrogen bonding between ethanol molecules than between water molecules.

The ethanol requires less energy to vaporize than water, and water has a higher boiling point than ethanol.

The boiling point of a liquid can be known by utilizing the capillary method, that encompasses placing an inverted capillary in the liquid of interest as well as heating it.

Thus, the correct option is B.

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What example is given of a location on Earth where this is occurring?

Answers

place's absolute location is its exact place on Earth, often given in terms of latitude and longitude. For example, the Empire State Building is located at 40.7 degrees north (latitude), 74 degrees west (longitude).

Place's absolute location is its exact place on Earth, often given in terms of latitude and longitude.

What is longitude?

A point's longitude, which might refer to the east-west position of a point on the surface of the Earth or another celestial body, is a geographic coordinate. The Greek symbol lambda is used to represent the angular measurement, which is often given in degrees.

Latitude is a coordinate used in geography that describes a point's north-south location on the surface of the Earth or another celestial body. Latitude is measured as an angle, with 0° at the Equator and values ranging from -90° at the south pole to 90° at the north pole.

Place's absolute location is its exact place on Earth, often given in terms of latitude and longitude.

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A 3 Volt battery is connected in series to three resistors: 4,6, and 2. Find the total resistance.

Answers

Answer:

The same current flows through each resistor in series. Individual resistors in series do not get the total source voltage, but divide it. The total resistance in a series circuit is equal to the sum of the individual resistances: RN(series)=R1+R2+R3+…

Extrusive Igneous rock has ___________ grain size.
I need help on this one

Answers

Explanation:

Extrusive rocks may have a few grains that are large enough to see, but most of them will be too small to see individual minerals. ... The individual mineral grains are almost too small to see. Some extrusive rocks cool so quickly that they do not form any grains. Instead, they form a natural glass.

g An electron moves on a direction perpendicular to this page, into this page . The arrow below shows the direction of the magnetic field B present in this region. ----------------> B The direction of the magnetic force acting on the electron is directed

Answers

Answer:

force on the electron is upwards

Explanation:

The magnetic force is given by the relation

        F = q v x B

the bold indicates vectors, we can write the module of this expression

        F = q v  B sin θ

the direction of the force is given by the right hand rule.

If we have a positive charge, the flea points in the direction of velocity, in this case towards the inside of the page.

fingers extended in the direction of the magnetite field, in our case to the right and

the palm gives the direction of the force for a positive charge, for a negative charge it is in the opposite direction. The palm points downwards, so the force on the electron is upwards

I've asked this question 5 times and still no answer pls help TT
What are three ways a driver can cause a car to accelerate?

A. Turn the key in the ignition while the car is stopped.
B. Turn the steering wheel while the car is moving.
C. Press the gas pedal while the car is stopped.
D. Press the brake pedal while the car is moving.

Answers

Answer:

c

Explanation:

the gas pedal gives the engine the fuel it needs to give the car the power to go

What happens to matter when it reaches absolute zero?
A. Its particles speed up.
O B. Its particles have no kinetic energy.
O C. Its particles vibrate slightly.
D. Its particles gain kinetic energy.

Answers

Explanation:

It will be B.Its particles have no kinetic energy.

Questions on the photo

Answers

Answer:

Option C: Third Class

Explanation:

This is third class because the effort or the input force is in the middle between the fulcrum and the load.

To solve this, we must be knowing each and every concept related to lever.  Therefore,  due to the effort or input force being in the center between the edge as well as the load, the supplied lever is of 3rd class. The correct option is option C.

What is lever?

A lever is a basic device that consists of a beam or stiff rod located at a set tight, or edge. It is used to apply force to a load and often offers a mechanical advantage.

A stiff object that can rotate about a spot on itself is called a lever. The three types of levers are categorized according to where the edge, weight, and effort are located. Due to the effort or input force being in the center between the edge as well as the load, the supplied lever is of  3rd class.

Therefore,  the correct option is option C.

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The photo shows a person pumping gasoline into a car
Which TWO of these energy transformations will occur when the car’s engine starts?

A. Chemical energy —> thermal energy

B. Chemical energy —> mechanical energy

C. Mechanical energy —> Chemical energy

D. Thermal energy —> chemical energy

Choose TWO

Answers

Answer:

A&B

Explanation:

Answer:

Chemical to mechanical(b) and Chemical to Thermal(a)

A 0.8 kg bead slides on a curved wire, starting
from rest at point A as shown in the figure.
The segment from A to B is frictionless, and
the segment from B to C is rough. The point
A is at height 7.1 m and the point C is at
height 2.5 m with respect to point B.

Find the speed of the bead at B. The acceleration due to gravity is 9.8 m/s2
Answer in units of m/s.

If the bead comes to rest at C, find the change
in mechanical energy due to friction as it
moves from B to C.
Answer in units of J.

Answers

a) The speed of the bead at B is 11.79m/s.

b) The change in mechanical energy due to friction as it  moves from B to C is 36.064 J.  

If we drop the object from the shelf or release the spring, that potential energy is converted back into kinetic energy. Kinetic energy can also be transferred from one body to another in a collision, which can be elastic or inelastic.

a)

Potential energy is converted  to kinetic energy

[tex]\frac{1}{2} mv^2=mgh\\\\v=\sqrt{2gh} \\\\v_B=\sqrt{2(9.8)(7.1-0)} \\\\v_B=11.79m/s[/tex]

The speed of the bead at B is 11.79m/s.

b)

[tex]W = mg(h_A) - mg(h_B) = 0.8(9.8)(7.1 - 2.5) = 36.064 J\\\\W=36.064J[/tex]

The change in mechanical energy due to friction as it  moves from B to C is 36.064 J.

Learn more:

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How many complete wavelengths are present in the sound wave shown? O 1 o 2 4 O 6 09. ​

Answers

Answer:

2

Explanation:

what do folds on a strip of paper mean

Answers

There are creases. Or just origami

131_I_53 is an artificially made radioactive isotope of iodine, produced during the operation of nuclear power plants and the detonation of nuclear bombs. Exposure to high concentrations of 131 53I represents a serious risk for human health. However, small doses of this radioactive isotope are put to good use in medical studies. 131 53I is widely used in treating thyroid cancer and in diagnosis of abnormal liver and kidney function.

Required:
What is emitted when the radioactive nucleus of 131_I_53 decays to form the stable isotope of xenon 131_Xe_54?

Answers

Answer:

one beta particle

Explanation:

Since the atomic number of 131_I_53 increases by one to 131_Xe_54, we have the release of a beta particle since only a beta particle can cause a change in atomic number without a change in mass number. Since a beta particle is one electron, ₋₁⁰e, our nuclear equation is

¹³¹I₅₃ → ¹³¹X₅₄ + ₋₁⁰e

The atomic and mass numbers on both sides are balanced

mass number 131 = 131 + 0 = 131

atomic number 53 = 54 - 1 = 53

Thus a beta particle is emitted

5. Which of the following is velocity? *
2 points
A. 20 m/s
B. 40 m/s east
C. 40 m
D. 20 m

Answers

A. 20m/s because the unit for velocity is m/s

example of nuclear fission and nuclear fusion​

Answers

Answer:

In fission, energy is gained by splitting apart heavy atoms, for example uranium, into smaller atoms such as iodine, caesium, strontium, xenon and barium, to name just a few. However, fusion is combining light atoms, for example two hydrogen isotopes, deuterium and tritium, to form the heavier helium.

Explanation:

I hope this helped you

(Sorry If it didn't)

Positive electric charges are always attracted to ________ charges.

Answers

Answer:

Negative electric charges

Z. A force that gives a 8-kg objet an acceleration of 1.6 m/s^2 would give a 2-kg object an
acceleration of
a. 0.2 m/s2
b. 0.4 m/s2
c. 1.6 m/s2
d. 6.4 m/s2

Answers

Answer:

[tex]\boxed {\boxed {\sf D.\ 6.4\ m/s^2}}[/tex]

Explanation:

We need to find the acceleration of the 2 kilogram object. Let's complete this in 2 steps.

1. Force of 1st Object

First, we can find the force of the first, 8 kilogram object.

According to Newton's Second Law of Motion, force is the product of mass and acceleration.

[tex]F=m \times a[/tex]

The mass of the object is 8 kilograms and the acceleration is 1.6 meters per square second.

m= 8 kg a= 1.6 m/s²

Substitute these values into the formula.

[tex]F= 8 \ kg * 1.6 \ m/s^2[/tex]

Multiply.

[tex]F= 12.8 \ kg*m/s^2[/tex]

2. Acceleration of the 2nd Object

Now,  use the force we just calculated to complete the second part of the problem. We use the same formula:

[tex]F= m \times a[/tex]

This time, we know the force is 12.8 kilograms meters per square second and the mass is 2 kilograms.

F= 12.8 kg *m/s²m= 2 kg

Substitute the values into the formula.

[tex]12.8 \ kg*m/s^2= 2 \ kg *a[/tex]

Since we are solving for the acceleration, we must isolate the variable (a). It is being multiplied by 2 kg. The inverse of multiplication is division. Divide both sides of the equation by 2 kg.

[tex]\frac {12.8 \ kg*m/s^2}{2 \ kg}= \frac{2\ kg* a}{2 \ kg}[/tex]

[tex]\frac {12.8 \ kg*m/s^2}{2 \ kg}=a[/tex]

The units of kilograms cancel.

[tex]\frac {12.8}{2}\ m/s^2=a[/tex]

[tex]6.4 \ m/s^2=a[/tex]

The acceleration is 6.4 meters per square second.

stephen stigler determined in 1977 that the speed of light is 299,710.5 km/sec. in 1882, albert michelson is there enough evidence to show that michelson's data is different from stigler's value of the speed of light? test at 5% level

Answers

Answer: hi your question is incomplete attached below is the complete question

answer :

population parameter( μ ) : mean speed of light measured by Albert Michelsonnull hypothesis ( H₀ ) : μ = 299,710.5km/s.Alternate hypothesis ( Hₐ ) : μ ≠ 299,710.5 km/secRandom variable :  Speed of light measured by Albert Michelson.

Explanation:

Using the information provided in the question attached I will match each term with its corresponding meaning

population parameter( μ ) : mean speed of light measured by Albert Michelson, here the parameter of interest is the speed of light measured/recorded by Albert which is represented as population mean μnull hypothesis ( H₀ ) : μ = 299,710.5km/s. given that the test is to determine if the speed of light recorded by both scientists are the sameAlternate hypothesis ( Hₐ ) : μ ≠ 299,710.5 km/sec. given that the test is to determine if the speed of light recorded by both scientists are the sameRandom variable ( x ) : Speed of light measured by Albert Michelson. her we are trying to bring to conclusion data measured by Albert Michelson

During an observation, it was noticed that light diffracts as it passes through small slits in a barrier. What does this evidence reveal about light?

It can travel in various wavelengths.
It can travel through the vacuum of space.
It demonstrates a behavior of energy.
It demonstrates a behavior of waves.

Answers

Answer:

It can travel in various wavelengths. brainliest?

Explanation:

The evidence that reveals about the light is that  It can travel in various wavelengths.

What is diffraction?

It is the wave property that should be blending of the wave related to the corners.

At the time when the wave is bending so it passed via the openings.

Also, the light diffracted via the small slits and it should be shown to arise in the water waves and the sound waves.

hence, the first option is correct.

Learn more about light here: https://brainly.com/question/26122702

Two train cars moving in the same direction are going to be coupled together. The mass of the first car is 5,000 kg and is moving at 5 m/s; the second car weighs the same, but is moving at 1 m/s. How fast will the two coupled cars move and how much kinetic energy does the system lose from coupling the cars together after they collide

Answers

Answer: [tex]3\ m/s,\ 20,00\ J[/tex]

Explanation:

Given

Mass of the first car [tex]m_1=5000\ kg[/tex]

Mass of the second car [tex]m_2=5000\ kg[/tex]

The velocity of the first car is [tex]v_1=5\ m/s[/tex]

The velocity of the second car is [tex]v_2=1\ m/s[/tex]

Conserving momentum, take [tex]v_o[/tex] as the velocity after coupling

[tex]\Rightarrow m_1v_1+m_2v_2=\left( m_1+m_2\right)v_o\\\Rightarrow 5000\times 5+5000\times 1=\left( 10,000\right)v_o\\\\\Rightarrow v_o=\dfrac{25,000+5000}{10,000}\\\\\Rightarrow v_o=\dfrac{30,000}{10,000}\\\Rightarrow v_o=3\ m/s[/tex]

[tex]\text{Initial kinetic Energy }K_1=\frac{1}{2}m_1v_1^2+\frac{1}{2}m_2v_2^2\\\\\Rightarrow K_1=\frac{1}{2}\times 5000\left( 5^2+1^2\right)\\\\\Rightarrow K_1=65,000\ J\\\\\\\text{Final Kinetic Energy}\ K_2=\frac{1}{2}\left(m_1+m_2\right)v_o^2\\\\\Rightarrow K_2=\frac{1}{2}\times 10,000\times 3^2\\\\\Rightarrow K_2=45,000\ J\\\\\text{Kinetic energy lost is equivalent to change in Initial and final energy i.e.}\\\\\Rightarrow K_1-K_2=65,000-45,000\\\\\Rightarrow K_1-K_2=20,000\ J[/tex]

Ablock of mass m2 on arough horinzontal surfaceis connected to aball of mass m1 by alight weight cord over alight weight friction pulley as shownin figure .aforce of magnitude f at an angle

Answers

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You see a train that is moving toward you and sounding its
whistle at a constant frequency. Compared to the sound
produced by the whistle, the wavelength of the sound
observed by you is
Answer: shorter

Answers

Answer: shorter

Explanation:

Which exercise type will improve a person's range of motion?

Answers

Answer:

stretching prior to an exercise is a great way to improve a range of motion, along with yoga and Pilates!

Please help me in science plss​


I give brainliest to Answer this plss

Answers

stan looga
this is correct answer

Each of the different colors that make up white light has a different ___________________.

Answers

Answer:

Wavelength?

Explanation:

Can’t figure out this problem who can figure this out and give me the answer?

Answers

According the the booklet of 1298 the amnswe will be letter B
I believe the answer i s true

Why might the current in a short circuit be higher than the current in the original circuit?

Answers

Answer:

Hope this helps =)

Explanation:

The current in a short circuit may be very high because the resistance in the short circuit is probably less than the resistance in the original circuit.

in the water circuit model which part represent the wire
1)pump
2)pipes
3)tap

Answers

Answer:

pipes

Explanation:

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