Pushing on the pump of a soap dispenser compresses a small spring. When the spring is compressed 0.54 cm, its potential energy is 0.0025 J.
(a) What is the force constant of the spring? (answer is in kN/M)
(b) What compression is required for the spring potential energy to equal 0.0078 J? (answer is in cm),

Answers

Answer 1
We know, U of spring = (kx^2)/2 k = spring constant x = deflection from mean position a) Here, x = 0.54 cm = 0.0054 m U= 0.0025 J k = 2U/x^2 k = 0.0050/ (0.0054^2) k = 0.171 kN/m b) x = (2U/k) ^ 1/2 x = (0.0156/171) ^ 1/2 x = 0.0095 m x = 0.95 cm
Answer 2

The force constant of the spring is roughly0.171 kN/ m. The contraction  needed for the spring's implicit energy to equal0.0078 J is roughly0.381 cm.

To calculate the force constant of the spring( k), we use the formula for the implicit energy of a compressed or stretched spring, which is U = 1/2 k x2. Rearranging this formula to  break for k gives k =  2U/ x2. Substituting U = 0.0025 J and x = 0.54 cm( or0.0054 m) into the formula yields k = ( 2  J)/(0.0054 m) 2. Calculating this, we find k = 171.296 N/ m or  roughly0.171 kN/m.

For part( b), when seeking the  contraction  needed to produce a implicit energy of0.0078 J, we start from the formula U = 1/2 k x2 again. fitting the implicit energy U = 0.0078 J and the  preliminarily calculated force constant k = 171.296 N/ m into the formula and  working for x delivers x = sqrt(2 extasteriskcentered0.0078 J)/171.296 N/ m). This results in an x value of roughly0.00381 m or0.381 cm.


Related Questions

Compare and contrast the movement of electric charge in a solution with the transfer of electric charge between solid objects.

Answers

In a solution, the movement of electric charge is given by the movement of ions (positive or negative), which are the result of dissociation of molecules of the solution.
In solid objects, instead, the movement of electric charge is given by the movement of valence electrons or by holes, created when a valence electron leaves a vacancy in the outer shell of an atom.

Electric charge transfer between solid objects involves the movement of electrons, whereas in solutions it involves the movement of both cations and anions. Both processes follow the principle of charge conservation.

Understanding the movement of electric charge requires comparing how it occurs in solutions versus solid objects. In solid objects, charge transfer primarily happens through the movement of electrons. When two solid objects come into contact, electrons can be transferred from one object to another, often facilitated by friction, leading to one object becoming negatively charged and the other positively charged.

On the other hand, in a solution, electric charge is carried by ions. For instance, in an ionic solution like salt water, both positive ions (cations) and negative ions (anions) can move freely. This is different from the transfer between solid objects where only electrons, carrying negative charges, move.

The relationship between the total charges before and after the transfer is that the total amount of charge is conserved. This means the sum of positive and negative charges remains constant, even though the charges might be redistributed. This principle is crucial in both solid object charge transfer and ionic solutions.

So, while the transfer of electric charge between solid objects involves moving electrons, in a solution, it involves the movement of both cations and anions. Both processes abide by the principle of charge conservation, ensuring that the total charge remains constant.

At noon, ship a is 30 nautical miles due west of ship
b. ship a is sailing west at 22 knots and ship b is sailing north at 23 knots. how fast (in knots) is the distance between the ships changing at 5 pm? (note: 1 knot is a speed of 1 nautical mile per hour.)

Answers

We need to find relative speed between two ships. 
We look at relative speed along the north direction and west direction.
[tex]N: v_b_n-v_a_n=v_b_n\\ W:v_a_w-v_b_w=v_a_w\\[/tex]
This is because boats are travaling at directions that are perpedincular to each other. Total relative speed is:
[tex]v_r=\sqrt{v_a_w^2+v_b_n^2}=\sqrt{22^2+23^2}=31.83[/tex]
And that is how fast they are moving away from eachother.  
Please note that these boats are not accelerating, therefore the distance between them is increasing at the constant rate.

what mechanical layer lies below the lithosphere

Answers

Answer: The layer below the lithosphere lies the Asthenosphere.

Explanation:

The asthenosphere is a viscous layer, in which the rocks are solid but has the ability to slightly flow due to deformation. This layer plays a very significant role in the plate tectonic movement, which initiates the motion of the lithospheric crust, due to the generation of the convection current at the mantle. It is present in the upper part of the mantle.

The internal heat from the core of the earth radiates to the mantle, and the magma at the mantle gets heated up and become less dense and rises up, and this magma when reaches on the upper part of the mantle, near the surface, gets cools down and become more dense, and sinks. This continuous circulation of magma in the mantle region is known as the convection current.

Final answer:

The layer below the lithosphere is the asthenosphere, which is semi-fluid and allows the tectonic plates of the lithosphere to move.

Explanation:

The mechanical layer that lies below the lithosphere is known as the asthenosphere. This semi-fluid layer is located directly underneath the rigid lithospheric plate and is characterized by its ability to flow and move. Due to intense heat and pressure coming from the earth's core, the rocks in the asthenosphere exist in a plasticky, semi-liquid state, which allows the tectonic plates of the lithosphere to move and shift above it.

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Select all that apply. A hypothesis is _____. always correct determined before experimentation begins the experimental factor that changes in response to a change in the independent variable testable and falsifiable

Answers

Final answer:

A hypothesis is a testable and falsifiable assumption known before experimentation. It's not always correct and does not always change in response to a change in the independent variable. Even when experiments support a hypothesis, it is not confirmed as absolutely correct.

Explanation:

A hypothesis is a testable and falsifiable assumption based on what is known. It is determined before any experiment begins and serves as a guide for the collection and analysis of data. For instance, we could formulate a hypothesis like, 'If I water plants with sugar-mixed water, they will grow faster.'. If subsequent experimentation disproves this hypothesis, it must be discarded or reformed.

A hypothesis does not necessarily change in response to a change in the independent variable; rather, it predicts the expected response or outcome. However, a hypothesis is not always correct. It represents our best prediction based on the current information and can often be proven wrong as new data or insights become available via further empirical research.

Furthermore, in scientific research, even though a hypothesis is supported by multiple experiments, it does not confirm it to be correct, as future experiments could contradict it. Also, if a hypothesis explains a large amount of experimental data it could be considered a theory, but even theories can be modified if new data appears.

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English help please
The last answer says archer

Answers

it's the letter A it demonstrates...
it is the first answer
hope this helps!!!

How much work does the electric field do in moving a proton from a point with a potential of +145 v to a point where it is -55 v ? express your answer in joules?

Answers

The work done by the electric field in moving a charge is the negative of the potential energy difference between the two locations, which is the product between the magnitude of the charge q and the potential difference [tex]\Delta V[/tex]:
[tex]W=-\Delta U=-q\Delta V=-q (V_f -V_i)[/tex]
The proton charge is [tex]q=1.6 \cdot 10^{-19}C[/tex], and the two locations have potential of [tex]V_i = +145 V[/tex] and [tex]V_f=-55 V[/tex], therefore the work is
[tex]W=-(1.6 \cdot 10^{-19}C)(-55 V-(+145 V))=3.2 \cdot 10^{-17}J[/tex]

Final answer:

The electric field does work on a proton when it moves between two points with a potential difference, with the value calculated as 3.204 × 10-17 joules.

Explanation:

The question asks us to calculate the work done by the electric field in moving a proton between two points with a specified electric potential difference. Since work done by an electric field is equal to the charge of the particle times the change in electric potential (W = qV), and we know the proton's charge is approximately 1.602 × 10-19 coulombs, we can calculate the work done as follows:

Change in potential (V) = Vfinal - Vinitial = (-55 V) - (+145 V) = -200 VWork done by the electric field (W) = qV = (1.602 × 10-19 C) × (-200 V) = -3.204 × 10-17 J

The negative sign indicates that the electric field is doing work on the proton in the direction opposite to the electric field. Therefore, the electric field does 3.204 × 10-17 joules of work on the proton.

Match the term to its definition. A. Conduction Heat flowing when a liquid or gas carries the heat B. Convection Heat flowing between two objects that are touching each other C. Radiation Heat flowing in waves

Answers

A. Conduction --> Heat flowing between two objects that are touching each other
B. Convection --> Heat flowing when a liquid or gas carries the heat
C. Radiation --> Heat flowing in waves

Suppose you were asked to demonstrate electromagnetic induction. Which of the following situations will result in an electric current?
A magnet is moving toward a wire loop.
A wire loop is moving away from a magnet.
A wire loop is rotated near a magnet.
All of the above

Answers

The correct answer is "All of the above".

In fact, electromagnetic induction occurs when there is a change of the magnetic flux through the area enclosed by a circuit (in this case, the area enclosed by the wire loop).
The magnetic flux [tex]\Phi_B[/tex] through a certain surface is given by
[tex]\Phi_B=B A cos \theta[/tex] (1)
Where B is the intensity of the magnetic field, A is the area enclosed by the circuit and [tex]\theta[/tex] is the angle between the direction of the field B and the perpendicular to the area.

In the first situation, the magnet is getting closer to the loop, so the magnetic flux through the area enclosed by the wire is increasing (because the intensity of the magnetic field B is increasing). Situation 2) is the opposite case: the wire loop is moving away from the magnet, so the intensity of the magnetic field B is decreasing, and therefore the magnetic flux is decreasing as well.
Finally, in the third situation the wire loop is rotating. Here the distance between the loop and the magnet is not changing, but remember that the magnetic flux depends also on the angle between the direction of the magnetic field and the perpendicular (formula 1), and so since the wire loop is rotating, than this angle is changing, therefore the magnetic flux is changing as well.

A vector has an x-component of length 10 and a y-component of length 3. What is the angle of the vector? (Hint: Use the inverse tangent.)

Answers

The vector, the x-component and the y-component form a rectangle triangle where the vector is the hypothenuse and the x and y components are the two sides.
Calling [tex]\alpha [/tex] the angle between the vector and the horizontal direction (x), the two sides are related to [tex]\alpha [/tex] by
[tex]\tan \alpha = \frac{v_y}{v_x} [/tex]
where vy and vx are the two components on the y- and x-axis. Using vx=10 and vy=3 we find
[tex]\tan \alpha = \frac{3}{10} =0.3[/tex]
And so the angle is
[tex]\alpha = \arctan (0.3)=16.7^{\circ}[/tex]

The input force of a pulley system must move 8.0 m to lift a 3,000-n engine a distance of 2.0 m. what is the ima of the system?

Answers

The IMA (ideal mechanical advantage) of a single pulley is the ratio between the output force and the input force:
[tex]IMA= \frac{F_{out}}{F_{in}} [/tex]
Moreover, for the law of conservation of energy, the work done in input to lift the lift must be equal to the output work:
[tex]W_{in}=W_{out}[/tex]
[tex]F_{in} d_{in}=F_{out} d_{out}[/tex]
where the [tex]d_{in}[/tex] is the distance for which the input force is applied while [tex]d_{out}[/tex] is the distance of which the lift is lifted.
Substituting [tex]F_{out}=3000 N[/tex], [tex]d_{out}=2 m[/tex] and [tex]d_{in}=8 m[/tex] into the previous equation, we find the value of the input force:
[tex]F_{in}= \frac{F_{out} d_{out}}{d_{in}} = \frac{(3000 N)(2 m)}{8 m}=750 N [/tex]
And now we can find the IMA of the pulley:
[tex]IMA= \frac{F_{out}}{F_{in}}= \frac{3000 N}{750 N}=4 [/tex]

As we can see, the IMA is also equal to the ratio between the input and output distance:
[tex]IMA= \frac{d_{in}}{F_{out}}= \frac{8m}{2m}=4 [/tex]

A metal sphere has a charge of +8.0 mc. what is the net charge after 6.0×1013 electrons have been placed on it?

Answers

Let's calculate the total charge of [tex]N=6.0 \cdot 10^{13}[/tex] electrons. Each electron has a charge of [tex]e=-1.6 \cdot 10^{-19}C[/tex], so the total charge is
[tex]Q_e=Ne=(6.0 \cdot 10^{13})(-1.6 \cdot 10^{-19}C)=-9.6 \cdot 10^{-6}C[/tex]

The initial charge of the sphere was
[tex]Q_i = +8.0 mC=8.0 \cdot 10^{-3}C[/tex]
Therefore, the final net charge will be
[tex]Q_f = Q_i + Q_e = 8.0\cdot 10^{-3}C-9.6 \cdot 10^{-6}C=+7.99 \cdot 10^{-3}C[/tex]

The temperature differences seen between quito, ecuador, and guayaquil, ecuador, illustrate the effect of _____. ocean currents cloud cover altitude

Answers

The answer would be altitude. 
Quito has the altitude of  2.850m, while Guayaquil has the altitude of 5m.
This can lead to the vast difference in climates.
The most noticeable difference is that temperature drop with increased altitude.
For each 1,000 foot rise in altitude, there is a 4°F drop in temperature.

This one has got to be the altitude.

Although Neptune is the farthest planet from the Sun, it travels in a fixed orbit around the Sun and never changes its path. What is the reason for this?
A) The magnetic pull of the Sun holds Neptune in its orbit.
B) The gravitational pull of the Sun holds Neptune in its orbit.
C) The nuclear force acting between the Sun and Neptune holds the latter in its orbit.
D) The repulsive force of bodies outside the solar system holds Neptune in its orbit.

Answers

Answer:

B. The gravitational pull of the sun holds Neptune in its orbit.

Explanation:

Whether a farthest planet or a nearest planet, all the planets in the  solar system are held in their respective orbits by the mutual gravitational force of attraction. That is, the Sun exerts a gravitational force on the planet and the planet in turn pulls the Sun towards it. These two forces are equal in magnitude and oppositely directed to each other.

That is very well explained by the Newton's universal gravitational law,

As the distance between the Sun and the planet increases, the mutual gravitational force of attraction between the planets will decrease.

Mercury, Venus, Earth , Mars, Jupiter, Saturn, Neptune and Uranus are the planets that belong to the solar system. All these planets are revolving around the Sun.

Answer:

B

Explanation:

The final phase of the order cycle is called order ____.

Answers

The final phase of the order cycle is called order delivery. 

Help please

Water is a compound because it (1 point)
• can be broken down into simpler substances.
• always has two hydrogen atoms for each oxygen atom.
• is made of water atoms joined together.
• both a and b



Which of the following is a heterogeneous mixture? (1 point)
• water in a swimming pool
• sugar water
• a jar of mixed nuts
• stainless steel,

Answers

Water is a compound because: It can be broken down into simpler substances Chemical compound: a substance formed from two or more elements chemically united in fixed proportions. A jar of mixed nuts is a heterogeneous mixture. A heterogeneous mixture is a mixture that is not uniform in composition – it's a non-uniform mixture of smaller constituent parts.

A car starts from rest at a stop sign. It accelerates at 4.0 m/s2 for 3 seconds, coasts for 2 s, and then slows down at a rate of 3.0 m/s2 for the next stop sign. How far apart are the stop signs?

Answers

You need to divide the problem into three parts:

a) accelerated motion
what we know: initial velocity vi = 0, time t = 3s, acceleration a = 40m/s²;
the formula to find the space is: s = vi + 1/2·a·t²
all the units of measurement are fine,
therefore: s = 0 + 1/2·4·9 = 18m

b) constant motion
we know t = 2s and that the velocity here is equal to the final velocity (vf) of part a), which we need to calculate:
vf = vi + a·t which brings vf = 0 + 4·3 = 12m/s;
we can know calculate the total space with the formula s = vf·t = 12·2 = 24m

c) decelerated motion
we know the acceleration a = -3m/s² (minus because the velocity is decresing) and the initial velocity which is equals to the velocity of part b), therefore vi = 12m/s
we need to calculate first the time taken to bring the car to stop, we can use the formula t = v/a = 12/3 = 4s
we can know calculate the space through the formula 
s = vi·t + 1/2·a·t² = 12·4 + 1/2·(-3)·(4²) = 48 - 24 = 24m

We can now sum up the three spaces found to get the total distance between the stop signs:
s = sa + sb + sc = 18+24+24 = 66m




A condition that affects the ability to sleep or the quality of sleep is referred to as a __________.

A. parasomnia
B. sleep disorder
C. sleep debt
D. night terror

Answers

The answer is B) Sleep disorder.  Notice that is says, "A condition that affects the ability to sleep or quaility of sleep." Meaning how much sleep you get. Also known as sleep disorder. Answer is B. Hope that helps :)

Because speed is squared in the kinetic energy equation doubling an object's speed will what to its kinetic energy

Answers

doubling the speed, increases the K.E by a factor of 4!

the combination of all forces acting on an object is called _____.

Answers

The answer is net force akaskakska

How does the mass relate to the momentum ?

Answers

Hi there!

Mass relates to momentum because
the heavier the object is, the more energy ît takes to make it start moving and make it stop. For example, if I had a 20 pound object and a 50 pound object, the 50 pound object would travel less than the 20 pound object when the same amount of force is exerted on it.

Hope this helps!

A soccer ball is kicked with an initial speed of 8.8 m/s. After 0.179 s it is at its highest point. What was its initial direction of motion?,

Answers

To solve the problem we can consider only the motion on the vertical direction (y-axis). Let's the take upward as positive direction, such that the acceleration of the motion (the gravitational acceleration) is negative: [tex]g=-9.81 m/s^2[/tex], because it is against the direction of the motion.
The initial speed of the ball on the y-axis is [tex]v_0 \sin \alpha[/tex], where [tex]v_0 = 8.8 m/s[/tex] and where [tex]\alpha [/tex] is the angle of the initial velocity v0 with respect to the horizontal, so it's the direction that we want to find.

The law of the velocity on the y-axis is:
[tex]v(t)=v_0 \sin \alpha + gt[/tex]
Where t is the time. At its highest point, the vertical velocity of the ball is zero, and this occurs when t=0.179 s: [tex]v(0.179 s)=0[/tex]. So we can write:
[tex]v(0.179 s)=v_0 \sin \alpha + gt=0[/tex]
And substituting the numbers we can find the value of the angle:
[tex]\sin \alpha = \frac{-gt}{v_0}= \frac{-(-9.81 m/s^2)(0.179 s)}{8.8 m/s}=0.20 [/tex]
[tex]\alpha = \arcsin (0.20)=11.5 ^{\circ}[/tex]

Make the following conversion.

45 m = ____ cm

4500
0.45
450
0.045

Answers

1 m = 100 cm so...

[tex]45 m * \frac{100 cm}{1 m} = 4500 cm[/tex]
It is 4500 cm. 

I m equal to 100 cm and 45 m is 4500 cm

Michaela is babysitting little Tommy Turner who is known to be terror . Michaela answered the phone when Tommy's parents called to check him leaving Timmy unattended for three minutes .During that time Tommy turned the oven on its hottest setting and placed his new police car Mylar ballon in the oven. what will most likely happen to his ballon

Answers

Answer: the ballon will explode.

Explanation:

The air in the ballon will increase its temperature and, according to the laws of behavior of the gases, it will expand until it explode.

You can assume ideal gas behavior and  use PV = nRT, where you can see that the volume V and P are proportional to the temperature T, so with the increase in temperature the ballon will increase its volume, until the material of the ballon can not expand more, when the pressure will increase and the material will fail.

the balloon will pop

The increased temperature will cause the particles in the balloon to move faster and will create more pressure on the balloon. This pressure will pop the balloon.

a charge of 6.4x10^-7 C experiences an electric force of 1.8x10^-1 N what is the electric field strength

Answers

Field strength = force ÷ charge (E=F/Q)

E= 1.8×10^-1 ÷ 6.4×10^-7... to obtain ur answer

the formula is derived from the definition
Electric field : A region in space where a charged body experiences a force.

A strong magnetic field surrounds earth. How does earths magnetic feild help humans?

Answers

Answer:

Earth's magnetic field deviates high energy particles (e.g cosmic rays) that are a risk for human health.

Explanation:

Cosmic rays are high energy charged particles (88% protons, 10% nuclei of helium, 1% heavier nuclei) that came from the outer space. The energies of these particles are in the range of 1 GeV to 10⁸ TeV. Since they are charged particles, they will be deviated by Earth’s magnetic field¹ (as a reminder: A magnetic field applies a magnetic force over a moving charged particle).

Earth’s magnetic field works as a shield to humans against high energy charged particles, if cosmic rays were in touch with a human body, it can break molecules that forms DNA structure². Modifying that structure can lead to diseases as cancer, for example.

Units:

GeV: Giga-electronvolt

TeV: Tera-electronvolt

¹Magnetic field: It is generated around the space of a moving charged particle.

²DNA structure: It is a compound of different molecules that provides information to cells functionality.

The potential difference in a simple circuit is 9 v and the resistance is 47 ω . what current flows in the circuit? answer in units of
a.

Answers

The current flowing in the circuit with a potential difference of 9 volts and resistance of 47 ohms is approximately 0.1915 amperes (A), calculated using Ohm's Law (I = V/R).

The current that flows through a circuit can be calculated using Ohm's Law, which is given by the formula V = IR, where V is the potential difference, I is the current, and R is the resistance. In this case, the potential difference is 9 volts (V) and the resistance is 47 ohms (Ω). To find the current, we rearrange the formula to I = V/R.

Substitute the given values into the formula:

I = 9V / 47Ω

I ≈ 0.1915 A

So the current flowing in the circuit is approximately 0.1915 amperes (A).

When you look into a clear pond, a fish may appear to be in a different position than it actually is. What is this caused by?

A. diffraction

B. dispersion

C. refraction

D. reflection,

Answers

Refraction Refraction is when waves are deflected when passing obliquely through the interface between one medium and another or through a medium of varying density. (the pond water)

Which of the following items is most sensitive to increased acidity in the environment?

Answers

concrete buildings. i hope this helps you 

Answer: CONCRETE BUILDINGS

Explanation:

i got it right in my quiz

An experiment is designed to test the relationship between the initial height of a basketball before it is dropped to the height of its rebound bounce. The height of the rebound bounce is measured using a scale positioned behind the ball.

In the above experiment, which condition would not be controlled?

Answers

In general, when designing the experiment, it is desirable to control all thing that can affect the outcome of the experiment. In practice, this is not easily obtainable.
I imagine it would be hard to control the temperature in this experiment. Even though, temperature does affect the ball's bounce. 
Keep in mind that even if you don't control something it still can be measured and then you can use that information to correct your predictions.
In general, when coming up with the experiment, it's fascinating to control all factor which will have an effect on the end result of the experiment. To observe, this is often not simply gettable.
I imagine it'd be hard to manage the temperature during this experiment. although, the temperature will have an effect on the ball's bounce. 
Keep in mind that even if you do not management one thing it still is often measured then you'll be able to use that information to correct your predictions.
Explanation:

Now an uncontrolled variable is something like a force of nature, size of one thing or it's physically that cannot be controlled or modified.

An uncontrolled variable, or intermediator variable, is that the variable in an associate experiment that has the potential to negatively impact the link between the independent and dependent variables.


The outer shell of the atoms in group D____

Are empty

Are half full

Are full

Need one more electron to be full.

Answers

Answer: Option C) Are Full

Explanation: In the modern periodic table, Group D is placed between S and P blocks. The valency of this group display number of valencies. The valency of an element can be defined as the number of hydrogen atoms that can either or replace one atom of that element.

For Group D elements, the outer most shell are observed to be full.

This outermost shell is referred to as the valence shell, and the electrons located within it are referred to as valence electrons. The outer shell of the atoms in group D are full.

What is a periodic table?

The periodic table is an organization of all known elements in order of increasing atomic number and repeating chemical characteristics. They are organized in a tabular format, with a row representing an era and a column representing a group.

Elements of the same group will have the same valence electron configuration and, as a result, will have comparable chemical characteristics.

The amount of electrons in an atom's outermost shell impacts its reactivity, or proclivity to form chemical interactions with other atoms. This outermost shell is referred to as the valence shell.

Hence the option c is correct. The outer shell of the atoms in group D are full.

To learn more about the periodic table refer to the link;

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