A spring with a spring constant of 15. 0 N/m is stretched 8. 50 m. What is the force that the spring would apply?

The current in the circuit will have an oscillation frequency of = 318 Hz

For oscillating frequencies, the time period, amplitude, and wavelength are the three most crucial components. The difference between the oscillation's highest and minimum points is represented by its amplitude, which is measured in terms of time.

The following formula can be used to get the oscillating wave's frequency from the time period:

Frequency (f) = 1/Time period
Oceanic waves and sound both require a minimum physical distance to complete an oscillation cycle. The term "wavelength" refers to a physical measurement between two points at regular intervals. The number of events in one unit of time is known as the frequency (f). The frequency of periodic motion is the number of oscillations per unit of time.

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The emf of the battery is 23.071 V.

What is emf?

The emf (electromotive force) is defined as the original potential applied across a circuit when there is no internal resistance.

The emf is given by the formula,

E=V+I*r

where E is the emf of the battery, V is the potential applied across the circuit, I is the current through the circuit and r is the internal resistance of the battery.

What is power?

The power is the product of the square of the current and the resistance. The formula of the power P for the internal resistance r is,

P=I^(2)*r

Given I=55.0 A and P=37 W, substitute I=55.0 A and P=37 W in the above formula and solve it to calculate r.

37 = (55.0)^2*r

r=37/ (55.0)^2

r=0.0122 ohm

Given V=22.4 V, substitute  I=55.0 A, r=0.0122 ohm, and V=22.4 V in the formula of emf to calculate the value of emf.

E=22.4+(55.0)*(0.0122)

E=23.071 V

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Answer: Sirius, the brightest star in the sky, is 2.6 parsecs (8.6 light-years) from Earth, giving it a parallax of 0.379 arcseconds. Another bright star, Regulus, has a parallax of 0.042 arcseconds. Then, the distance in parsecs will be,23.46.

Explanation: To find the answer, we have to know more about the relation between the distance in parsecs and the parallax.

                                     [tex]d=\frac{1}{P}[/tex]

                                    [tex]dP=constant.\\thus,\\d_1P_1=d_2P_2[/tex]

                                     [tex]d_1=2.6 parsecs.\\P_1=0.379arcseconds.\\P_2=0.042 arcseconds.\\d_2=?[/tex]

                                     [tex]d_2=\frac{d_1P_1}{P_2} =23.46 parsecs[/tex]

Thus, we can conclude that, the distance in parsecs will be, 23.46.

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Answer:

If you add the 2 velocity vectors you get the velocity of the third vector which is the (change in) velocity of the cue ball after striking the cushion

V * 2 * cos 45 = 4 * cos 45 = 2.83 m/s

The terminal velocity as it falls through still air is 4.65154 in/s.

The diameter of small water droplet is 1.25 mil= 1.25×0.0254×10^-3 m

                                                                            = 3.175 × 10^-5 m

Now the viscosity of still air is η = 1.83× 10⁻⁵ Pa

 So the formula for drag force is:

                Fd = 6πηrv

  where,  v is the velocity.

Now to attain terminal velocity acceleration must be zero.

            →  W = Fd

                ρVg = 6πrηv

                ρ × 4/3 πr³×g = 6πrηv

                           v = 2/9 × ρgr³/ η

                           v =  2/9 × 10³×9.81×(3.175×10^-3) / 18.6×10^-6

                           v = 0.1181  m/s

                           v = 4.65154 in/s

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The inductance for a solenoid is 1.7 mH

What is Inductance?

It is the property of an electric conductor or circuit that causes an electromotive force to be generated by a change in the current flowing.

The formula for the inductance:

L = |e| / ( Δi / Δt )

Where,

L = inductance

e = induced emf = 0.012 V

Δi = change in current = 2.5-0 = 2.5 A

Δt = change in time = 0.35 s

Substituting the values in formula of Inductance,

L = 0.012 / ( 2.5/0.35 )

L = 1.7 * 10^-3 H

L = 1.7 mH

Hence

The inductance for a solenoid is 1.7 mH

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Your question is incomplete, but probably full question was:

A 500-turn solenoid is 8.0 cm long. When the current in this solenoid is increased from 0 to 2.5 A in 0.35 s, the magnitude of the induced emf is 0.012. Find the inductance.

The car will halt at a minimum distance of 98.57 meters on a rainy day having a friction coefficient of 0.109.

Calculation of the minimum distance-

Provided that :

                                  = 52 x 0.278 m/s = 14.45 m/s

the regular force exerted on the car,

[tex]F_{N} = mg[/tex]

Along X-direction, the force is

[tex]F_{x} = ma_{x}[/tex]

Friction acts in the opposite way along the x-axis

[tex]-f_{friction} = ma_{x}[/tex]

⇒-μ[tex]F_{N} = ma_{x}[/tex]

⇒-μmg = [tex]ma_{x}[/tex]

⇒[tex]a_{x} =[/tex] μg

Utilizing the motion equation-

v² = u²+ 2 .a. s

The final speed, v=0 m/s

⇒0² = (14.45)² - 2 μg .s

⇒2 * 0.109 *9.8 *s = (14.45)² = 208.8

⇒s = 208.8 / 2.14 =  97.57 m

It is concluded that the car will halt at a minimum distance of 98.57 meters.

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Halo stars formed before disk stars and the protogalatic cloud(s) contained essentially no elements besides hydrogen and helium.

The hierarchical growth of huge galaxies like the Milky Way results in the natural by-product of extended star haloes. Our galaxy's star halo should contain traces of past merger events if this process is a significant contributor to the galaxy's expansion. However, it is difficult to reliably identify real halo stars. Aims. We have entered a new phase of galactic astronomy with the launch of the Gaia space telescope. Over two million stars the majority of which are in the solar neighbourhood have their locations, parallaxes, and proper motions listed in the initial Gaia data release. This sample will be expanded to include more than 1.5 billion stars in the second Gaia data release, of which 5 million will be fully phase-space characterized stars.

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Answer:

p(a) * p(b) = .01923

p(b) = .01923 / .07692 = .2500

The probability of a or b will be equal to 0.30769.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability of the total sample points in A U B is P(A U B). The probabilities of sample points in A and B are now added together as P(A) + P(B). To get the total of probabilities in (A U B), which is P, we need to subtract once because we added the sample points in (A B) twice (A U B).

Given that p(a)=0.07692, p(b)=0.25, and probability of a and b. =0.01923. The probability will be calculated by using the formula below:-

P(A) = 0.07692

P(B)=0.25

P(A[tex]\cap[/tex]B) = 0.01923

P(AUB) = P(A) + P(B) - P(A[tex]\cap[/tex]B)

P(AUB) = 0.07692 + 0.25 - 0.01923

P(AUB) = 0.30769

Therefore, the probability of a or b will be equal to 0.30769.

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The correct matches are as follows:

Metals are elements which form positive ions by loss of electrons.

Metals are usually shiny, malleable and ductile.

Metal atoms combine are bonded to each other by metallic bonds.

Electron sea theory describe how mobile electrons  surround positive atomic nucleus.

Alloys refer to a mixture of metals.

In conclusion, metal atoms form metallic bonds.

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The correct answer is Exothermic reaction and the values are follows: Activation energy = 10 kJ, enthalpy change = -25 kJ

Exothermic reactions are those in which the energy of the reactant is greater than the energy of the result. Heat is produced as a result of the entire energy being released, and this results in a negative response.

Given: The reactants' potential energy is 30 kJ

Products' potential energy is 5 kJ.

The system's maximum energy is 40 kJ.

The additional energy that must be provided to reactants in order for them to break through the energy barrier and transform into products is known as activation energy.

Maximum energy of the system - Potential energy of the reactants equals (40-30) kJ = 10 kJ, which is the activation energy.

Enthalpy change is equal to ((5-30) kJ= -25 kJ): Potential energy of the products - Potential energy of the reactants.

A process for which the overall standard enthalpy change (H) is negative is referred to as an exothermic reaction in thermochemistry. Typically, exothermic reactions produce heat. IUPAC defines exergonic reaction as "... a reaction for which the overall standard Gibbs energy change G is negative." The two terms are frequently mixed up. Since "H" significantly contributes to "G," a very exothermic process will typically also be exergonic. Exothermic and exergonic reactions make up the majority of the impressive chemical reactions that are presented in classrooms. The opposite is an endothermic process, which often produces heat and is fueled by a rise in system entropy. A chemical system's energy can be thought of as its enthalpy.

In a particular chemical reaction, the energy of the reactants is 30 kJ and the energy of the products is 5 kJ. The maximum energy of the system is 40 kJ.

Sketch a potential energy diagram for this reaction. Make sure to label the energy of the reactants, the energy of the products, the activation energy, and the enthalpy change for the reaction.

What is the activation energy for this reaction?

What is the enthalpy change for this reaction?

Is this reaction endothermic or exothermic reaction? Explain your answer in two ways: first, using the energy values, and second, by referring to the shape of the graph.

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Compared to other diffraction techniques, the advantage of X-ray diffraction is that it enables determination of three - dimensional molecular structure.

Diffraction is described as the interference or bending of waves via an aperture or around the corners of an obstruction into the area that forms the geometric shadow of the obstruction or aperture.

A common method for determining the crystallinity and structure of solid samples is X-ray diffraction (XRD).

In conclusion, X-rays are scattered by the electrons of atoms present in the sample without changing their wavelength, which causes the crystal X-ray diffraction phenomena.

Some advantages of X-ray diffraction

1) It determines the three-dimensional molecular structure.

2) It is a quick and effective method for determining unidentified minerals and materials.

3) Only a little sample needs to be prepared for analysis.

4) The generated data can be interpreted very easily.

5) XRD measurement equipment is commonly accessible.

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An array of this size can produce an average of 350-850 kWh of AC energy per month.

Solar technologies convert sunlight into electrical energy either through photovoltaic (PV) panels or through mirrors that concentrate solar radiation. This energy can be used to generate electricity or be stored in batteries or thermal storage.

Solar panel systems are measured in terms of kW. A common size solar panel array is usually around 5kW. An array of this size can produce an average of 350-850 kWh of AC energy per month.

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The ratio of maximum frequency and minimum frequency is 4.9.

The relation between frequency, f, and conductance, C and inductance, L is given as:

[tex]f = \frac{1}{2\pi \sqrt{LC} }[/tex]

Given,

Cmax = 279 pF

Cmin = 12 pF

The smaller value of C gives the the larger value of f, therefore,

[tex]fmax = \frac{1}{2\pi\sqrt{LCmin} }[/tex]           ....(1)

[tex]fmin = \frac{1}{2\pi\sqrt{LCmax} }[/tex]           .....(2)

Dividing both the equations (1) and (2):

[tex]\frac{fmax}{fmin} =\frac{\sqrt{Cmax} }{\sqrt{Cmin} }[/tex]

[tex]\frac{fmax}{fmin} = \frac{\sqrt{279} }{\sqrt{12} }[/tex]

        [tex]= 4.9[/tex]

Hence, the ratio of maximum to minimum frequency is 4.9.

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In the writing of ionic chemical formulas the value of each ion's charge is crossed over in the crossover rule.

Rules for naming Ionic compounds

The oxidation state of each ion is also important, thus in the crossover rule, the value of each ion's charge is crossed over.

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The concentration of the acetic acid:

The concentration of the acetic acid before titration is 0.128M

Reaction of phenolphthalein with NaOH:

The sodium hydroxide will start interacting with phenolphthalein as soon as enough sodium hydroxide has been added to the acetic acid such that there is no longer any unreacted acetic acid. Pink solution is produced when phenolphthalein and sodium hydroxide combine.

Calculation:

The balanced equation:

CH₃COOH + NaOH ⇒ CH₃COONa + H₂O

Given:

Quantity of NaOH = 0.1067 M

Volume of NaOH = 30.07 ml

                             = 30.07 / 1000

                             = 0.03007 L

For weak acid and strong base titration =  Moles of acetic acid =  moles of NaOH

Moles of NaOH = concentration X volume

0.1067 X 0.03007 = 0.0032

Thus, moles of acetic acid  = 0.0032mole,

By employing the formula,

Concentration = Moles/Volume

                         = 0.0032/0.025

                         = 0.128M

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This is the path of light through slits.

what are incident light ?

The light that hits a topic is called as incident light. It may originate from an artificial source or from a natural source, like as the sun. Incident light is also light that reflects off a reflector or another surface.

what is light ?

The region of the electromagnetic spectrum that the human eye sees as light, or visible light, is composed of electromagnetic radiation. The Sun is the primary source of natural light on Earth. Fire has historically been a major source of light for people, from ancient campfires to modern kerosene lamps. Electric lighting has largely taken the place of firelight as a result of the development of electric lights and power systems.

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Straight upward

the ball moves in the forward direction with your walking speed at all times. If you want the ball to land in your hand when it comes back down, you should toss the ball straight upward.

Projectile motion is the motion of an object thrown (projected) into the air.

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2.6×10[tex]^-8[/tex] Ωm,A long, flat wire is used as a rear window defroster and is bonded to the window's interior surface.

Electrical resistivity is a measurement of a material's degree of resistance to current flow. The SI unit for electrical resistivity is the ohm meter (m). It is frequently represented by the Greek letter rho. Materials that easily transmit current and have a low resistance are called conductors.

Length of the wire, l = 12.2 m

width of the wire, w = 1.8 mm

Thickness of the wire, T = 0.11 mm

Potential difference of the battery, v = 12 V

Current in battery, I = 7.5 A

Ohms law says, V = IR.

So that, R = V/I

R = 12/7.5 = 1.6 Ω

The Greek letter rho is frequently used to represent resistance, which is numerically equivalent to the resistance R of a wire-like specimen, multiplied by its cross-sectional area A, and divided by its length.

Resistivity if a material is:

ρ = RA/l

ρ = [1.6 × 1.8 × 10[tex]^-3[/tex] × 0.11×10[tex]^-3[/tex]] / 12.2

ρ = (3.168×10[tex]^-7[/tex]) / 12.2

ρ = 2.596×10[tex]^-8[/tex]

Therefore, the resistivity of the wire is 2.60×10[tex]^-8[/tex] Ωm

Resistivity of the wire is 2.60*10^-8 Ωm

Given:

Length of the wire, I = 12.2 m

width of the wire, w = 1.8 mm

thickness of the wire, T = 0.11 mm

Potential difference of the battery, v = 12

Current in the battery, I = 7.5 A

To Find:

Resistivity

Solution: A characteristic property of each material, resistivity is useful in comparing various materials on the basis of their ability to conduct electric currents.

Remember, Ohms law says, V = IR

So that, RV/I

R = 12/7.5= 1.6 Q

Resistivity if a material is

p = RA/I

p = [1.6 * 1.8*10^-3* 0.11*10^-3] / 12.2

p = (3.168*10^-7)/12.2

p = 2.596*10^-8

Therefore, the resistivity of the wire is 2.60*10^-8 Ωm

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Answer:

The use of airplanes also allows many people to acquire jobs in many different areas of aviation. The invention of the airplane led to new technologies, new ways of battle, modern warfare, and safer and more efficient travel. Space travel also would not have been possible without the idea of air travel.

Explanation:

A red light means to stop. If you are turning from a two-way road or onto a two-way road, then you are NOT allowed to reverse your car If you can't do it

Red is typically used to indicate danger or warning, and on traffic lights, it indicates a potential hazard ahead and, as a result, serves as a signal for drivers to stop. If the traffic light turns red while you are already at a junction, you must move swiftly to the opposite side to avoid a potential accident with oncoming traffic.
If the traffic light has turned red as you approach the junction and you are just entering it, you must stop. Unless there is a sign clearly telling you not to turn left at the red light, you may do so. Give way to people and cars coming from other directions when turning.

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Answer: you are not allowed to turn left on a red light from a two way to a two way

According to motion in straight line  t1≠t2

A biker travels d1 meters in t1 seconds at v1 m/s for the first leg and d2 meters in t2 seconds at v2 m/s for the second leg. It's possible that t1t2 if his average speed is equal to the average of v1 and v2.
An object is said to be in motion if its position in relation to its surroundings changes over time. It is a shift in an object's position over time. The only type of motion that exists is motion in a straight line.

A reference system is constantly used to describe a particle's motion. An arbitrary origin point is used to create a reference system, and a coordinate system is imagined to be connected to it. The reference system for a specific problem is the coordinate system that has been selected for it. For the majority of the problems, we typically select an earth-based coordinate system as the reference system.

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Answer:

At [tex]t = (70 / 3) \; {\rm s}[/tex] (approximately [tex]23.3 \; {\rm s}[/tex].)

Explanation:

Note that the acceleration of the car between [tex]t = 0\; {\rm s}[/tex] and [tex]t = 20\; {\rm s}[/tex] ([tex]\Delta t = 20\; {\rm s}[/tex]) is constant. Initial velocity of the car was [tex]v_{0} = 0\; {\rm m\cdot s^{-1}}[/tex], whereas [tex]v_{1} = 35\; {\rm m\cdot s^{-1}}[/tex] at [tex]t = 20\; {\rm s}\![/tex]. Hence, at [tex]t = 20\; {\rm s}\!\![/tex], this car would have travelled a distance of:

[tex]\begin{aligned}x &= \frac{(v_{1} - v_{0})\, \Delta t}{2} \\ &= \frac{(35\; {\rm m\cdot s^{-1}} - 0\; {\rm m\cdot s^{-1}}) \times (20\; {\rm s})}{2} \\ &= 350\; {\rm m}\end{aligned}[/tex].

At [tex]t = 20\; {\rm s}[/tex], the truck would have travelled a distance of [tex]x = v\, t = 20\; {\rm m\cdot s^{-1}} \times 20\; {\rm s} = 400\; {\rm m}[/tex].

In other words, at [tex]t = 20\; {\rm s}[/tex], the truck was [tex]400\; {\rm m} - 350\; {\rm m} = 50\; {\rm m}[/tex] ahead of the car. The velocity of the car is greater than that of the truck by [tex]35\; {\rm m\cdot s^{-1}} - 20\; {\rm m\cdot s^{-1}} = 15 \; {\rm m\cdot s^{-1}}[/tex]. It would take another [tex](50\; {\rm m}) / (15\; {\rm m\cdot s^{-1}}) = (10/3)\; {\rm s}[/tex] before the car catches up with the truck.

Hence, the car would catch up with the truck at [tex]t = (20 + (10/3))\; {\rm s} = (70 / 3)\; {\rm s}[/tex].

Mass of 1 mole of pennies is 1.506 × 10²¹ kg. 48.805 moles moles of pennies have a mass equal to the mass of the Moon.

Mass of one mole pennies= 6.023 × 10²³ × mass of one penny

= 6.023 × 10²³ ×0.0025 kg

= 1.506 × 10²¹ kg

= 48.805 moles

Thus, we can conclude that the mass of 1 mole of pennies is 1.506 × 10²¹ kg and 48.805 moles moles of pennies have a mass equal to the mass of the Moon.

Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: A penny has a mass of 2.50g and the Moon has a mass of 7.35 X 10^22kg. Use this information to answer the questions below.

A) What is the mass of 1 moIe of pennies? Round your answer to 3 significant digits.

B) How many moles of pennies have a mass equal to the mass of the Moon? Round your answer to 3 significant digits.

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Answer:

87 kph

Explanation:

A 60.0 kg secretary running up a 4.0 m tall flight of stairs in 4.2 s has an average power of 560 W (Option b).

Power is the work done over a period of time.

A secretary with a mass (m) of 60.0 kg runs up a 4.0 m (d) tall flight of stairs. Given gravity (g) is 9.81 m/s², the work (W) done is:

W = m × g × d = 60.0 kg × 9.81 m/s² × 4.0 m = 2.35 × 10³ J

They do 2.4 × 10³ J of work in 4.2 s (t). The average power (P) is:

P = W / t = 2.35 × 10³ J / 4.2 s = 560 W

A 60.0 kg secretary running up a 4.0 m tall flight of stairs in 4.2 s has an average power of 560 W (Option b).

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Answer:

As a pendulum moves toward the equilibrium position, velocity increases and acceleration decreases. As the pendulum moves away from the equilibrium position, velocity decreases and acceleration increases.

Explanation:

Using the law of conservation of energy, we know that Em1=Em2.

Em1 (at the highest point) = Eg + Ek, where Ek is 0

Em2 (at the equilibrium point) = Eg +Ek, where Eg is 0

This makes sense. At the highest point, the pendulum is at its maximum height. At this point, however, it stops moving, so its velocity is 0. At the equilibrium point, the pendulum is at its lowest height (i.e. h=0). At this point, however, its moving at its maximum velocity. This velocity is constant, which means that acceleration is 0.

Answer:

1) Increases

2) Decreases

3) Decreases

4) Increases

5) Maximum

Explanation:

As a pendulum moves toward the equilibrium position, velocity

✔ increases

and acceleration

✔ decreases

. As the pendulum moves away from the equilibrium position, velocity

✔ decreases

and acceleration

✔ increases

. Velocity is at a

✔ maximum

when acceleration is zero.

The kinetic energy, potential energy and total mechanical energy possessed by the skydriver are 1.5 × 10⁵ Joule, 6.7 × 10⁵ Joule and 8.2 × 10⁵ Joule respectively.

To find the answer, we need to know about the expression of kinetic energy and potential energy.

Thus, we can conclude that the kinetic energy, potential energy and total mechanical energy possessed by the skydriver are 1.5 × 10⁵ Joule, 6.7 × 10⁵ Joule and 8.2 × 10⁵ Joule respectively.

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Considering the elliptical orbit of a comet around the sun , the closer is the comet , the faster it will move .

Comets are thought to orbit the sun in either the Oort cloud or Kuiper belt. When another star passes by the solar system, its gravity pushes the Oort cloud and/or Kuiper belt and causes comets to descend toward the sun in a highly elliptical orbit with the sun at one focus of the ellipse. The closer is the comet , the faster it will move

It is been observed that comets motion is mostly get affected by sun's gravity. As  a comet gets closer to the sun it moves faster and faster and as comet gets away from the sun , its speed get decreased. So, the comet should be as closer at it can be to the sun in order to move fastest

Here , it can be observed that comet's speed is inversely proportional to its distance from the sun.

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The gravitational potential energy will increase by 423.36 J

PE = mgh

PE₁ = 72 × 9.8 × 0

PE₁ = 0 J

PE = mgh

PE₂ = 72 × 9.8 × 0.6

PE₂= 423.36 J

Change in potential energy = PE₂ - PE₁

Change in potential energy = 423.36 - 0

Change in potential energy = 423.36 J

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