A small ball is attached to one end of a spring that has an unstrained length of 0.201 m. The spring is held by the other end, and the ball is whirled around in a horizontal circle at a speed of 3.41 m/s. The spring remains nearly parallel to the ground during the motion and is observed to stretch by 0.0176 m.

Required:
By how much would the spring stretch if it were attached to the ceiling and the ball allowed to hang straight down, motionless?

Answers

Answer 1

The extension of the spring when the ball is allowed to hang straight down, motionless is 0.0032 m.

The given parameters;

unstrained length, l₁ = 0.201 mextension of the string, x = 0.0176 mspeed of the ball, v = 3.41 m/s

The radius of the circular path when spring is stretched is calculated as;

R = l₁ + x

R = 0.201 + 0.0176

R = 0.2186 m

The spring constant is calculated as follows;

[tex]F = ma\\\\Kx = \frac{mv^2}{R} \\\\K = \frac{mv^2}{Rx} \\\\K = \frac{(3.41)^2 m}{0.2186 \times 0.0176} \\\\K = 3,022.4 m \ N/m[/tex]

The extension of the spring when the ball is allowed to hang straight down, motionless;

[tex]F = mg\\\\Kx=mg\\\\x = \frac{mg}{K} \\\\x = \frac{9.8 m}{3022.4 m} \\\\x = 0.0032 \ m[/tex]

Thus, the extension of the spring when the ball is allowed to hang straight down, motionless is 0.0032 m.

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Related Questions

A4 m high tank filled with water is drilled with four identical small holes at 1 m, 1.5 m, 2 m and 2.5 m from the bottom of tank, the speed of efflux will be greatest from the hole at?​

Answers

Answer:

at 2.5m

Explanation:

because 2.5m*4m is 10.0=10

To solve this, we must know each and every concept related to speed of efflux and its calculations. Therefore,  hole at 3m will have the greatest speed of efflux.

What is speed of efflux?

The velocity of outflow is the speed with which a liquid emerges from a hole cut at a certain height from bottom of the container within which the liquid is contained.

Mathematically, the formula for speed of efflux can be given as

speed of efflux =√2×g×h

g= acceleration due to gravity

h1=4- 1 =3m

h2=4-2=2m

h3=4-2.5=1.5m

h4=4-1.5=2.5

Since speed of efflux is directly proportional to height. More the vale of h more will be speed of efflux. So on calculations, hole at 3m will have the greatest speed of efflux.

Therefore,  hole at 3m will have the greatest speed of efflux.

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Explain in terms of pressure why a boat made of modelling clay floats?

Answers

Answer:

cuz model clay float

Explanation:

yeah

Newton’s First Law of Motion applies to

1) objects at rest
2) objects in motion
3) both moving and non moving objects
4) objects that are accelerating

Answers

The answer is 3. The first law states that an object at rest stays at rest while an object in motion stays in motion

Answer:

3) both moving and non moving objects

Hope it helps:)

the source of a magnetic field is a moving _________.

Answers

Answer:

electron

Explanation:

The source of a magnetic field is a moving _________.

                              \/

The source of a magnetic field is a moving electron.

  The spinning of the electrons around the nucleus of an atom creates a magnetic field.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

As the skydiver's ______increases, so does the magnitude of the force due to friction.

Answers

Answer:

speed?

Explanation:

give me more information

Match these items. Match the items in the left column to the items in the right column. 1 . gravitational force the physical law nicknamed "action-reaction" 2 . Newton's First Law the physical law that states that planetary orbits are ellipses 3 . Copernican system described as a field 4 . Kepler's First Law the model of a planetary system that has the earth at the center 5 . Kepler's Second Law an example of a heliocentric system 6 . centripetal force the physical law that states that R3\T2 = K for a system 7 . Kepler's Third Law a spacecraft cruising at v = constant with its rockets shut down 8 . geocentric system the physical law that relates acceleration to net force 9 . Newton's Third Law gravitational force that keeps planets in orbit 10 . Newton's Second Law the physical law that states that equal areas are swept out in equal times

Answers

Answer:

i can't tell which is left and right

Explanation:

Answer:

1. gravitational force = described as a field

2. Newton's First Law = a spacecraft cruising at v = constant with its rockets shut down

3. Copernican system =  an example of a heliocentric system

4. Kepler's First Law = the physical law that states that planetary orbits are ellipses

5. Kepler's Second Law = the physical law that states that equal areas are swept out in equal times

6. centripetal force = gravitational force that keeps planets in orbit

7. Kepler's Third Law = the physical law that states that R3\T2 = K for a system

8. geocentric system = the model of a planetary system that has the earth at the center

9. Newton's Third Law = the physical law nicknamed "action-reaction"

10. Newton's Second Law = the physical law that relates acceleration to net force

What is Space debris ?

Answers

Answer:

Space junk, or space debris, is any piece of machinery or debris left by humans in space. It can refer to big objects such as dead satellites that have failed or been left in orbit at the end of their mission. It can also refer to smaller things, like bits of debris or paint flecks that have fallen off a rocket.

Answer:

In addition to derelict man-made objects left in orbit, other examples of space debris include fragments from their disintegration, erosion and collisions or even paint flecks, solidified liquids expelled from spacecraft, and unburned particles from solid rocket motors. Space debris represents a risk to spacecraft.

Explanation:

A 12 N force is used to extend a spring with a spring constant of 84 N/m. Calculate the extension of the spring.

Answers

Answer:

72n

Explanation:

Find the volume occupied by 0.060 moles of CO2 at rtp

Answers

Answer:

At STP,

1 mole of oxygen occupies 22.4litres.

∴ 0.1 mole of oxygen will occupy = 0.1 × 22.4

= 2.24 litres.

Thus, the volume occupied by 0.1 moles of CO

2

at STP is 2.24 L

please help me solve this and give an explanation​

Answers

Answer:

6.5

Explanation:

Because 1.5+5=6.5

the pressure inside a latex balloon is nearly the same as the pressure outside. if you let a helium balloon go, and if, as it rises, it stays at a constant temperature, the volume of the balloon will

Answers

Answer:       If you let a helium balloon go, and if, as it rises, it stays at a constant temperature, the volume of the balloon will. The magnitude of the buoyant force is equal to the weight of the amount of fluid that has the same total volume as the object.

If you let a helium balloon go, it rises, it stays at a constant temperature, the volume of the balloon will increases.

What is volume?

A measurement of three-dimensional space is volume. Several imperial or US customary units, as well as SI-derived units (such the cubic meter and liter), are frequently used to quantify it quantitatively (such as the gallon, quart, cubic inch). Volume and length (cubed) have a symbiotic relationship.

The density for helium remains lower than that of air, therefore when the balloon is inflated with that as well, it rises. The atmosphere's pressure continues to drop as it rises, which causes the internal pressure to rise. The balloon's volume of the balloon will increase.

Therefore, the volume of the balloon will increase.

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This Constitutional right forbids Congress from sending a person to prison__
Explain what this Constitutional right is:___

Answers

The formation and operation of prisons, as well as inmates' rights, are governed by federal and state regulations. Although prisoners may not have full constitutional rights, the Eighth Amendment's restriction on cruel and unusual punishment protects them.

consider what you have learned in your astronomy class and this article about physical processes. what types of processes can emit gamma-rays?

Answers

Answer:

Gamma-rays are produced primarily by four different nuclear reactions; fusion, fission, alpha decay and gamma decay.

The type of process that can emit gamma - rays is nuclear reaction processes.

What is nuclear reaction?

A nuclear reaction is a type of reaction in which two nuclei collide to produce one or more new nuclides and release energy in the process.

Examples of nuclear reactions;

FussionFissionNuclear Decay.

Each of the nuclear reaction above can emit gamma - rays.

Thus, the type of process that can emit gamma - rays is nuclear reaction processes.

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Mary has a mass of 40 kg and sprints at 1 m/s. How much kinetic energy does she have?

¼
She has a kinetic energy of 20 J.

Roberto has twice the mass his sister Mary has (see above) but runs at the same velocity as Mary.

Will his kinetic energy be twice as much? Show your work.

Answers

KE= 1/2m.v squared

1/280x1 squared = 40J

Yes his kinetic energy will be doubled :)

Which of the following surfaces would have the lowest amount of friction?

a.Glass
b.Sand
c.Wood
d.Ice

Answers

Answer:

d. ice

Explanation:

Answer:

The correct answer is C. Ice, you know, since it's so slippery. lol

pls give brainliest

ASAP
A train is travelling at 100 m/s when it receives an alert: “Brake! 600 meters ahead, the rails are broken”. The highest acceleration that the train can produce is 10 m/s^2. If the train slows down with a constant acceleration of 10 m/s^2
How long will it take for the train to stop?
How many meters will it travel before it stops?
Botcookiemaster please don't use a file just give me the answer

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's consider the given terms ~

Initial velocity (u) = 100 m/s

Acceleration (a) = - 10 m/s²

(Acceleration is negative bbecause train slows down)

Final velocity (v) = 0 m/s

(final velocity is 0, because train stops)

Now, let's find the time taken (t) by using the first equation of motion ~

[tex]v = u + at[/tex]

[tex]0 = 100 + ( - 10 \times t)[/tex]

[tex]0 = 100 - 10t[/tex]

[tex]10t = 100[/tex]

[tex]t = 100 \div 10[/tex]

[tex]t = 10[/tex]

The train will take 10 secs to stop,

Now, let's find how much distance (s) it will cover before it stops using second equation of motion ~

[tex]s = ut + \dfrac{1}{2} at {}^{2} [/tex]

[tex]s = (100 \times 10) + ( \dfrac{1}{ 2} \times - 10 \times 10 \times 10)[/tex]

[tex]s = 1000 + ( - 500)[/tex]

[tex]s = 1000 - 500[/tex]

[tex]500 \: \: m[/tex]

It will cover 500 meters before coming to rest ~

whaT HAPPENS WHEN a net force act's
on a moving object

Answers

Answer: the object will have an acceleration and the object's velocity will change.
Explanation: I just know

plz help, dont need to do the last question

Answers

Answer:

Explanation:

I dont understand what its saying .....?

why is clay soil chosen for earthenware? Explain it.

Answers

There are many reasons actually...

◇ Clayey soil is easy to mould than the other soils.

The other soils (like sandy soil & loamy soil) are grainy or dry in nature & cannot be moulded. In the ancient times, when technology & the know-hows were still not introduced, people used clayey soul to make earthern pots to store stuff. This practice still continues even today.

◇ It keeps water cool.

Ever wondered why water stored in the earthenware remains cool even on a sunny day? It's because the heat required for evaporation is taken from water inside the pot & thus it cools the water stored inside.

◇ Clayey soil is also moist, durable, more plastic like & easy to retain making it ideal for potters to make earthenware.

__________

Clay soil is used to make earthenwares because, clay can be easily molded to desired sizes and shapes. Clay absorbs water moiety and make the pot very cool inside.

What is clay?

Clay is a type of soil made by the sedimentation process near water resources.  They are rich in minerals. Clay is rich in silicates and intermolecular force in the soil is comparatively less and can be easily molded any shape and size.

When clay is fired to a high enough temperature, the glass-forming materials in the ceramic form a liquid glass. This glass bridges the gaps between the clay particles. As the pottery cools at the end of the firing process, the glass between the clay particles solidifies again.

Clay pots make the water cooler inside. Hence, clay is used to make earthen wares.

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please answer this don't go on the one which is choosed coz i bymistakely choosed it​

Answers

Answer:

(B) B is travelling fastest

Explanation:

slope of xt graph = speed.

Slope of B is greater than a and c.

BRAINLIST PLS

A runner slows down after completing a race. Her deceleration is 0.25 m/s2. After 5 s she is travelling at 4 m/s, determine her initial velocity.​

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

The initial velocity of the runner is 5.25 m/s.

What is deceleration?

You've probably seen that when there's a lot of traffic and there are more bikes blocking us, we tend to slow down the speed of our bikes.

Therefore, deceleration is defined as a reduction in speed as the body moves away from the beginning location. The opposite of acceleration is deceleration.

Given parameters:

Deceleration of the runner: a = 0.25 m/s².

Time interval: t = 5 second.

Final velocity: v = 4 m/s.

We have to find initial velocity of the runner: u = ?

From definition of deceleration, it can be written that:

deceleration = (initial velocity - final velocity) time interval

0.25 = (u -4)/5

u =  5.25 m/s.

Hence, initial velocity of the runner is 5.25 m/s.

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A flea sits on the edge of a classic record album that is making 1 revolution in 0.56s. The flea is 0.20m from the center of the record
a. what is the fleas velocity?
b. What is the fleas centripetal acceleration?

Answers

Hi there!

We can begin by finding the angular velocity using dimensional analysis:

[tex]\frac{1 rev}{0.56 s} * \frac{2\pi rad}{1 rev} = 11.22 rad/sec[/tex]

(A)

Find the flea's velocity using the following relationship:

v = ωr

v = (11.22)(0.20) = 2.24 m/s

(B)

Centripetal acceleration is given by:

a = ω²r

a = (11.22²)(0.20) = 25.18 m/s²

Which explains why scientists often prefer to measure mass rather than weight?

It is always the same.

It is affected by gravity.

Answers

Answer:

scientists often prefer to measure mass rather than weight because weight is affected by gravity while mass is not. Mass is always the same.

Explanation:

Weight is a force rather than a measure of the amount of matter something contains. The same amount of matter can have different weights depending on where it is. Mass directly measures the amount of matter present and remains the same no matter where it's measured.

is climbing stairs work done​

Answers

Answer:

The work you did in climbing the stairs is the force you applied (your weight) times the distance you moved upward (the height of the stairs.) So yes, climbing stairs is work done.

Explanation:

Hope this helped, nya~ :3

A camper stands in a valley between two parallel cliff walls. He claps his hands and notices that the echo from the nearby wall returns 0.9 s later while the echo from the farther wall returns 1.10 s later. If the air temperature is -10 C, how wide is the valley?

Answers

5,658 ft is your answer I believe

As the temperature of an air mass increases, its atmospheric pressure______. Group of answer choices

Answers

Answer:

its atmospheric pressure decreases

When the temperature of an air mass increases, its atmospheric pressure drops

ok done. Thank to me :>

The ___ of an object changes when you take it to a different planet.

Answers

Answer:

weight

Explanation:

weight depends on gravity

Sound is repeated near hills. Give reason

Answers

Explanation:

Sound is repeated near hills due to reverberation. The sound effect is prolonged is an empty room because , in a furnished room, reverberation occurs less than in a room with no furniture.

Answer:

sound that occurs in nature, such as those of animal, trees, people, the wind, the rain, etc. are the natural sounds. it is heard near the hill because of the echo and the reverberation of the sound

A cyclist pedals up to the top of a hill.

a) What kind of energy is being used to do work against gravity?

b) State the type of energy the cyclist has when he stops at the top of the hill.

c) When the cyclist moves downhill without pedaling, what type of energy does he gain?

Answers

Explanation:

A) kinetic energy

B) potential energy

C) Mechanical energy

a) The motorcyclist rises utilising chemical energy's "mechanical energy" (kinetic and potential energy). b) The cyclist's highest "gravitational potential energy" is transformed into motion downhill. c) When the rider moves downhill, potential energy becomes "kinetic energy." "Kinetic energy" is most vital.

a) "Mechanical energy" is used by the cyclist to ride up the slope. Kinetic and potential energy from an object's motion and position make up mechanical energy. As they pedal, cyclists transform chemical energy from their bodies into mechanical energy. This mechanical energy overcomes gravity as the cyclist climbs. As the cyclist climbs, potential energy accumulates, which is translated into kinetic energy as they descend.

b) At the summit of the slope, the biker has "gravitational potential energy." An object's gravitational potential energy depends on its position in a gravitational field. The biker has gained potential energy by climbing against gravity. At the crest of the hill, the cyclist's kinetic energy is lowest while potential energy is highest. The cyclist's potential energy is ready to be turned into kinetic energy as they descend.

c) Without pedalling, the rider gains "kinetic energy." The cyclist's speed increases as they descend, converting potential energy into kinetic energy. The cyclist's potential energy is turned into kinetic energy by gravity. As the rider descends, their potential energy diminishes but their kinetic energy increases, speeding up their bike. The biker converts potential energy into kinetic energy as he descends, and most of it is converted back at the bottom.

In conclusion, the cyclist climbs the incline using "mechanical energy" from chemical energy. They descend using "gravitational potential energy" at the top. Potential energy becomes "kinetic energy" when the rider descends without pedalling, speeding up the bike. Potential-to-kinetic energy conversion helps the cyclist climb the slope.

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Energy a substance or system has because of its motion Is what?

light energy
chemical energy
sound energy
electrical energy
thermal energy
mechanical energy

Answers

Answer:

Mechanical energy is the energy a substance or system has because of its motion. For example machines use mechanical energy to do work.

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