If a spring is stretched to twice the lengtj of its equilibrium position, by what factor does the energy stored in the spring change?

Answers

Answer 1

Answer:

the energy increases 4 times

Explanation:

A spring has an elastic potential energy that is given by the expression

          K_e = ½ K (x-x₀)²

where x is the distance from the equilibrium point and k is the return constant

if the spring is stretched at  x-x₀ = 2x₀, the energy value

        K_e = ½ k (2x₀)²

        K_e = ½ k 4 x₀²

        K_e = 4 (½ k x₀²)

        [tex]\frac{K_e}{ \frac{1}{2} k x_o^2}[/tex] = 4

therefore the energy increases 4 times

Answer 2

The energy stored in the spring changes by a factor of 4

The formula for calculating the energy stored in the spring is expressed as:

[tex]E=\frac{1}{2}ke^2[/tex]

If the spring is stretched to twice the length of its equilibrium position

[tex]E_2=\frac{1}{2}(2k)^2\\E_2=\frac{1}{2}4k^2[/tex]

Take the ratio of the energy stored in the spring

[tex]\frac{E_2}{E} =\frac{1/2(4kx^2)}{1/2kx^2}\\ \frac{E_2}{E} =\frac{4}{1}\\E_2 = 4E[/tex]

This shows that the energy stored in the spring changes by a factor of 4

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Related Questions

PLEASE HELP PHYSICS
Wiley coyote pushes a 5kg boulder from an initial height of 10m, the boulder rolls down the hill, across the road, and up the hill on the left. The rock is able to reach a height of 17 m before rolling back down. How fast did Wiley have to push the rock to make this happen?

Answers

Answer:

  v = 11.7 m / s

Explanation:

For this exercise we can use the conservation of energy

starting point. Where you drop the stone

          Em₀ = K + U = ½ m v² + m g h₁

final point. Point where the stone arrives

          Em_f = U = mgh₂

We are assuming that there is no friction, so the energy is conserved

          Em₀ = Em_f

          ½ m v² + m g h₁ = m g h₂

         v² = 2g (h₂-h₁)

let's calculate

         v² = 2 9.8 (17 - 10)

         v = √137.2

         v = 11.7 m / s

1. How does a lunar eclipse happen?
2. How does a solar eclipse happen?
3. Which one occurs more often?

Answers

Answer:

1.lunar eclipse- happen when Earths shadow block the sun light

2.solar eclipse-A solar eclipse occurs when a portion of the Earth is engulfed in a shadow cast by the Moon which fully or partially blocks sunlight

3. lunar and solar eclipses occur with about equal frequency. Lunar eclipses are more widely visible because Earth casts a much larger shadow on the Moon during a lunar eclipse than the Moon casts on Earth during a solar eclipse. As a result, you are more likely to see a lunar eclipse than a solar eclipse.

Explanation:

If the force causing a mass to accelerate is multiplied by a number while keeping the mass the same, what happens to the acceleration of the object?

Answers

Answer: If mass remains constant and you double the force you will double the acceleration.

Which do you think requires more Work, lifting a 100 N load a vertical distance of 2 m or lifting a 10 N load a vertical distance of 4 m?

Answers

Answer:

Lifting 100 N 2 meters is much more work.

Explanation:

Remark

The formula is F * d = W

Givens

F = 100 N

D = 2 m

or

F = 10 N

D = 4 m

Solution

Work = 100 * 2

Work = 200 Joules

Work = 10 * 4

Work = 40 J

What is the net force acting on a 52 kg object that has a velocity of 8.0 m/s and is moving in a circle of radius 1.6 m? a. 4000N b. 20880N c. 2500N d. 3500N

Answers

Σf = m a
Σf = m v^2 / r
Σf = 52 8^2 / 1.6
Σf = 2080 N
The net force acting of the object will be "2080 N".

Given values are:

Mass, m = 52 kgVelocity, v = 8.0 m/sRadius, r = 1.6 m

As we know the formula,

→ [tex]\Sigma f = ma[/tex]

or,

→ [tex]\Sigma f = \frac{mv^2}{r}[/tex]

By putting the values, we get

         [tex]= \frac{52\times 8^2}{1.6}[/tex]

         [tex]= \frac{52\times 64}{1.6}[/tex]

         [tex]= 2080 \ N[/tex]

Thus the response above is appropriate.

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If energy is conserved, then:
O A. initial (PE + KE) = final (PE + KE).
O B. the initial KE must be zero.
O C. the momentum does not change.
O D. PE(before) = KE(before).

Answers

Answer is A mark me brainliest

If energy is conserved, then initial (PE + KE) = final (PE + KE). So, the correct option is A.

What is meant by Law of Conservation of Energy ?

The law of conservation of energy states that, energy can neither be created nor be destroyed, but can be transformed from one form to another.

Here,

According to law of conservation of energy,

The total energy of an isolated system remains constant. That means, the total energy of the system in the initial state will be same as that in the final state.

The total mechanical energy is the sum of kinetic energy and potential energy.

TE = KE + PE

Therefore, the energy to be conserved in the system,

Initial TE = Final TE

So, Initial (KE + PE) = Final (KE + PE)

Hence,

If energy is conserved, then initial (PE + KE) = final (PE + KE).

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A 1500 kg car is being lifted by a hydraulic jack attached to a flat plate. Underneath the plate is a pipe with radius of 24 cm at the top and 2cm at the bottom. To generate an upward acceleration for the car of 1.0 m/s2, how much force must be applied to the small end of the pipe? The answer is NOT 102 N btw

Answers

Answer:

The force that must be exerted at the other end is 102.08 N/m₂

Explanation:

Using Pascal's formula; P₁ = P₂

P₁ = F₁/A₁ = m*g/(πr²)

m = 1500 kg; g = 9.8 m/s², r = 24 cm = 0.24 m

P₁ = (1500 * 9.8)/(22/7 * 0.24 * 0.24)

P₁ = 81235 N/m²

P₂ = F₂/A₂

A₂ = πr² where π = 22/7; r = 2.00 cm = 0.02m

A₂ = 22/7 * 0.02 * 0.02 = 0.00126 m²

P₂  = F₂ / 0.00126 m₂

substituting in the formula  P₁ = P₂

81235 N/m² =  F₂ / 0.00126 m²

F₂ = 81235 N/m² * 0.00126 m²

F₂ = 102.08 N/m₂

Explanation:

Answer:Why does water stop flowing out of the top hole even before the water level falls ... Calculate pressure on the bottom of the pool due to the water. 3. ... 2. If the ratio of A2 to A1 was 100, what force would be required to lift a 10000 N car? ... A cylinder with a radius of 11 cm and a height of 3.4 cm has a mass of 10.0 kg. a.

Explanation:

5. Aunt Jane weighs 145 pounds. What is her weight in Newtons?

Answers

Answer:

i think its 644

Explanation:

If two alpha particles (each with two protons and two neutrons) are 0.500 m apart, what is the electric potential energy of the system?

Answers

Answer:

U = 1.84 10⁻²⁷ J

Explanation:

Electric potential energy is

        U = k q₁q₂/ r

in this case the electric charge is

         q = 2 p

         q = 2 1.6 10⁻¹⁹

         q = 3.2 10⁻¹⁹ C

indicate the distance between the charges is 0.500 m

we calculate

         U = 9 10⁹  3.2 10⁻¹⁹  3.2 10⁻¹⁹ /0.500

         U = 1.84 10⁻²⁷ J

The compass is a small bar magnet that’s free to spin. Based on what you observed, is the coil of wire with current passing through it a magnet?

Answers

Answer:

People have been aware of magnets and magnetism for thousands of years. The earliest records date back to ancient times, particularly in the region of Asia Minor called Magnesia—the name of this region is the source of words like magnet. Magnetic rocks found in Magnesia, which is now part of western Turkey, stimulated interest during ancient times. When humans first discovered magnetic rocks, they likely found that certain parts of these rocks attracted bits of iron or other magnetic rocks more strongly than other parts. These areas are called the poles of a magnet. A magnetic pole is the part of a magnet that exerts the strongest force on other magnets or magnetic material, such as iron. For example, the poles of the bar magnet shown in Figure 20.2 are where the paper clips are concentrated.

A bar magnet with paper clips attached to it.

Figure 20.2 A bar magnet with paper clips attracted to the two poles.

If a bar magnet is suspended so that it rotates freely, one pole of the magnet will always turn toward the north, with the opposite pole facing south. This discovery led to the compass, which is simply a small, elongated magnet mounted so that it can rotate freely. An example of a compass is shown Figure 20.3. The pole of the magnet that orients northward is called the north pole, and the opposite pole of the magnet is called the south pole.

Answer:

Yes, the coil of wire with current passing through it is a magnet.

Explanation:

Camina con otro compañero, al mismo tiempo y al mismo paso. Quién se mueve tú o tu compañero? Razona tu respuesta

Answers

Answer:

Fricción.

Explicación:

Caminando con otro compañero al mismo tiempo y al mismo ritmo, el movimiento se produce debido a la fricción del suelo y la suela de los zapatos porque la fricción es la fuerza que ayuda en el movimiento de los objetos de un lugar a otro. Si no hay fricción entre el suelo y la suela de los zapatos, no podemos dar un paso por lo que podemos decir que la fricción nos mueve hacia adelante.

Why do temperatures on the moons surface vary ncyb more than temperatures on earth

The moon has a lord density than earth

The moons surface has more craters than earth

The moon has no atomsphere

The moon is farther from the sun compared to earth

Answers

Answer:

The moon has no atmosphere

Explanation:

The temperatures on the surface of the Moon vary much more than those on Earth because the moon has no atmosphere (third answer in the list), and therefore there are no molecules that could retain residual heat and make the change from day to night a softer transition.

A)This part controls the amount of light entering the eyes. A= Iris B= Pupil Give reason for your answer.

Answers

Answer:

Iris

Explanation:

Iris can be described as a part of the eyes which regulates the amount of light that enters the eye. The iris is made up of various muscles that control the size of the pupil

When a person is in a well-lighted room, the iris decreases the size of the pupil so that a low amount or medium amount of light is absorbed into the pupil. Also when an individual steps into a dark room the iris increases the size of the pupil so that a high amount of light penetrates the pupil.

Hence without the iris the amount of light that enters the eye cannot be controlled.

Two people travel from Columbus to Cleveland, one by car at an average velocity of 90km/h, and one by plane at an average velocity of 300km/h. Can their displacements be equal

Answers

Answer:

Explanation:

Yes , their displacement may be equal .

Suppose the displacement is AB where A is starting point and B is end point .

The car is covering the distance AB by going from A to B on straight line . On the other hand plane goes from A to C , then from C to D and then from D to B . In this way plane reaches B from A on a different path which is longer than path of the car . In the second case also displacement of plane is AB . In the second case distance covered is longer but displacement is same that is AB .

39. I also use it when I do the homework. (par 1 line 3).
The underlined word has the closest meaning with...
a. assignment
b. agreement
c. dictionary
d. teamwork

Answers

Answer:

A

Explanation:

The answer is A, assignment is a piece of work or task given to someone as part of a job of course of study. Hope this helps!

1. The force due to gravity acting on an object is called what?

Answers

Answer:

Near the surface of the earth such objects are accelerating. This acceleration is due to the gravitational force acting between the objects and the earth. ... It points straight downward towards the center of the earth. The force of gravity acting on an object is called its weight.

8
Select the correct answer.
Which sentence correctly states Boyle's law?
ОА
The pressure on a gas varies inversely with its volume at constant temperature.
OB. The pressure on a gas varies directly with its volume at constant temperature.
Ос.
The pressure on a gas varies directly with its temperature at constant volume.
OD
The pressure on a gas varies inversely with its temperature at constant volume.
OE. The volume of a gas varies directly with its temperature at constant pressure.

Answers

OD because Boyle’s law specifically states


explain about the laws of reflection ​

Answers

Answer:

The law of reflection states that the angle of reflection equals the angle of incidence—θr = θi. The angles are measured relative to the perpendicular to the surface at the point where the ray strikes the surface.

Explanation:

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The name of C (S) + o2 (g) CO2 (g)

Answers

Answer:

carbon + oxygen → carbon dioxide

Amoeba have mitochondria. What is the name of the process that breaks down glucose sugar into usable energy for the cell? (2 words)

Answers

Answer:

cellular respiration

Explanation:

Which of the following is a subatomic particle?

Particle

Atom

Neutron

Element

Answers

Answer:

neutron.

Explanation:

subatomic particles include,

neutron.

proton.

electron.

hope it helps. :)

What is the name for the amount of energy transferred every second by an electrical appliance?

Answers

Electric power is the name for the amount of energy transferred every second by an electrical appliance

The most appropriate term used for the amount of energy transferred every second by an electrical appliance would be electric power.

What is power?

The rate of doing work is known as power. The Si unit of power is the watt.

Power =work/time

The mathematical expression for the power is as follows,

P = VI

where P is the power

V is the voltage

As given in the problem we have to find out the name of the term used for the amount of energy transferred every second by an electrical appliance,

The electric power = The amount of energy transferred / time for use of appliances

Thus, Electric power would be the most appropriate term to describe the quantity of energy transferred by an electrical item per second.

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match the quote about working in government to the correct branch. Then name
the article that describes the powers of this branch.(Giving Brainlist and doubling points for Correct answer!)

Answers

The second speech bubble to the presidential branch, the third to the judicial branch, and the first to the legislative branch.

Matching the quote about working in government to the correct branch will give us:

The second bubble describes the power of the executive branch

The third bubble describes the power of the judicial branch

The first bubble describes the power of the legislative branch

What is the executive branch?

The power of the Executive Branch is vested in the President of the United States, who also acts as head of state and Commander-in-Chief of the armed forces.

The executive branch or is the part of government that enforces law, and has responsibility for the governance of a state.

In political systems based on the principle of separation of powers, authority is distributed among several branches (executive, legislative, judicial)—an attempt to prevent the concentration of power in the hands of a single group of people.

The executive enforces the law as written by the legislature and interpreted by the judiciary.

The executive can be the source of certain types of law, such as a decree or executive order. Executive bureaucracies are commonly the source of regulations.

What is the judicial branch?

The third branch of government is the Judicial branch. The Judiciary is made up of courts -- Supreme, Circuit, the magistrate (local) and municipal (city) courts. The Judicial branch interprets the laws.

The state judges are elected by the citizens rather than being appointed. They also run for their office as members of a political party.

The judiciary is the system of courts that interprets, defends, and applies the law in the name of the state. The judiciary can also be thought of as the mechanism for the resolution of disputes.

In many jurisdictions, the judicial branch has the power to change laws through the process of judicial review.

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