3. A slinky has a spring constant of 160 N/m. How much work is done on the slinky


to stretch it 0. 50 meters horizontally across a table?

1) Transform the circuit to the Laplace domain In the circuit given, I is the current flowing through the inductor and R1 and R2 are the resistance of the resistors. V is the voltage across the inductor.

The given circuit can be transformed into the Laplace domain by applying the basic formulae.

Using Ohm's Law, V = IRi.e., I

= V/R

Substituting R1 + R2 as R, we get I

= V/R ...(1)The voltage V across the inductor L is given by:

L(di/dt) + Ri = V => L(di/dt) = V - Ri

Now, taking Laplace transform on both sides, we get:

L(sI(s) - i(0)) + R(I(s))

= V(s)

=> I(s)

= [V(s) + Li(0)]/[sL + R]

Thus, the transformed circuit in Laplace domain is as follows:

2) Find the expression for current \(I_{S}(s)\) in the Laplace domain (no need to do the inverse Laplace transform)

By Kirchoff's Current Law, I1 + I2 = I

where I1 is the current passing through the resistor R1 and I2 is the current passing through the resistor R2 and I is the current passing through the inductor L.

We can use Ohm's Law to represent I1 and I2 in terms of voltage V across the inductor and R1 and R2 respectively.

Substituting the values of I1 and I2 in the above equation, we get V/R1 + V/R2 = I(s)Now, substituting the value of V from above, we get:

I(s) = V/R

= L(di/dt + I(s))/R1 + L(di/dt + I(s))/R2

=> I(s)

= [sL + (R1 + R2)]/[s^2L + s(R1 + R2)]

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True. cloud may appear dark in visible light, it may still emit radiation at longer infrared wavelengths, leading to a glowing appearance when observed with infrared instruments.

Clouds that appear dark in visible light may contain small particles or droplets that absorb visible light and scatter it in different directions, making the cloud appear dark or opaque. However, these same particles may also emit radiation in the long infrared range, causing the cloud to glow when observed at those wavelengths. Infrared radiation has longer wavelengths than visible light and can penetrate through some of the opaque materials that block visible light. When infrared radiation encounters the small particles or droplets within a cloud, it can cause them to vibrate, which in turn causes them to emit radiation in the infrared range.

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The force constant of the spring is 200.696 N/m & The height the object achieves when the spring releases its energy is 2.5087 m

The spring constant is the force needed to stretch or compress a spring, divided by the compressive or expansive distance. It's used to determine stability or instability in the spring, and therefore the system it's intended for. we know,

F = kx

Therefore,

k = F/x

We also know that the force being exerted on the spring is equal to the mass of the object. Hence, F = mg = 5.13 * 9.8 N = 50.174 N and we know compression due to the mass is 0.25m. Therefore,

K = 50.174/0.25 N/m

K = 200.696 N/m

Therefore, The Spring Constant is 200.696 N/m

On release, the spring potential energy gets converted to kinetic energy. Hence, on release, the height attained by the object is given by:

h = \(1/2 kx^{2}\)

We know that k=200.696 N/m and x=0.25 m. Therefore the height is:

h = \(1/2 (200.696 N/m)(0.25 m)^{2}\)

h = 2.5087 m

Therefore, the force constant of the spring is 200.696 N/m & The height the object achieves when the spring releases its energy is 2.5087 m

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Answer:

The magnitude of the displacement is  \(H = 14.14 \ km\)

Explanation:

From the question we are told that

  The distance of the car to north is  d =  10 km

   The distance of car to the west is  w =  - 10 \  km

The negative sign is because the direction is  west

Generally applying Pythagoras theorem , the displacement is  

         \(H = \sqrt{d^2 + w^2}\)

=>      \(H = \sqrt{(10)^2 + (-10)^2}\)

=>     \(H = 14.14 \ km\)

A circular coil of wire with a diameter of 7.8 cm and resistance of 1.61 Ω is positioned in a magnetic field of 0.304 T directed perpendicular to the coil. The task is to determine the magnitude of the current induced in the coil.

The magnitude of the current induced in the coil can be found using Faraday's law of electromagnetic induction. According to Faraday's law, the induced electromotive force (emf) in a coil is equal to the rate of change of magnetic flux through the coil.

In this case, the coil is in a magnetic field of 0.304 T, and the field is directed perpendicular to the coil. The magnetic flux through the coil can be calculated by multiplying the magnetic field strength, the area of the coil, and the cosine of the angle between the magnetic field and the normal to the coil.

Since the coil is circular, its area can be determined using the formula for the area of a circle, A = πr², where r is the radius of the coil (half of the diameter). Once the area is known, the magnetic flux through the coil can be calculated.

The induced emf in the coil is given by the equation emf = -N(dΦ/dt), where N is the number of turns in the coil and dΦ/dt represents the rate of change of magnetic flux.

From the induced emf and the resistance of the coil, the magnitude of the current induced in the coil can be determined using Ohm's law, I = emf/R.

By applying these principles and given the necessary values (diameter, resistance, magnetic field strength), the magnitude of the current induced in the coil can be calculated.

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The direction of force refers to the path along which the force acts. The plane of application of force, on the other hand, is the surface or area where the force is applied

The direction of force refers to the path along which the force acts. It is the straight line in which the force is being applied. For example, if you push a box on the ground, the direction of force is the line of action of the force vector that points in the direction of the push.

The plane of application of force is the surface or area where the force is applied.

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False. A switch cannot send and receive on all circuits simultaneously.

In networking, a switch is a device that connects multiple devices within a local area network (LAN). It operates at the data link layer of the network protocol stack and uses MAC addresses to forward data packets to the appropriate destination.

A switch can handle multiple ports and can transmit data to multiple devices simultaneously, but it does so through a process known as **packet switching**. Packet switching involves the switch forwarding individual data packets to their intended destinations based on their MAC addresses.

While a switch can handle multiple connections and facilitate communication between devices, it operates in a sequential manner, forwarding packets one at a time based on their destinations. It cannot simultaneously send and receive data on all circuits or ports simultaneously. Each connection or port on a switch operates independently and can handle traffic in a time-division multiplexing manner, but not simultaneously on all circuits.

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Answer:

Newton first law

Explanation:

Newton's first law states that, if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force. The hockey puck moved because you hit it. ( tell me if I helped I hope you do good)

Answer:

1 and 5

Explanation:

Kinetic energy is the energy that an object possesses due to its motion. Since the pendulum has 0 velocity at points 1 and 5, and it is at those points that the pendulum is furthest from its equilibrium position, we say that it has no kinetic energy and maximum potential energy.

Answer:

The initial vertical velocity is zero, u = 0 m/s

Explanation:

Given;

height of the table, h = 0.55 m

horizontal distance traveled by the tennis, x = 0.12 m

Apply the following kinematic equation;

h = ut + ¹/₂gt²

where;

u is the initial vertical velocity = 0, since the tennis ball rolled off the edge of a table.

h = ¹/₂gt²

The time to fall from the vertical height is given by;

\(t = \sqrt{\frac{2h}{g} } \\\\t = \sqrt{\frac{2(0.55)}{9.8} }\\\\t = 0.335 \ s\)

The initial horizontal velocity of the tennis is given by;

x = vₓt

vₓ = x / t

vₓ = (0.12) / (0.335)

vₓ = 0.358 m/s

Therefore, the initial vertical velocity is zero, u = 0 m/s and initial horizontal velocity, vₓ is 0.358 m/s

Answer:

An atom is the smallest part of an element by itself, while molecules are built of multiple atoms.

Answer:

it is correct

Explanation:

Though no rounded numbers can be defined as accurate, if we were going by people's discovery, and research, we can define that the number, g = 9.8m/s^2, is accurate

The acceleration of Ima's car would be 4.4694 meters/second²

The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².

As given in the problem Ima Speedin puts the pedal to the metal and increases her speed as follows: 0 mi/hr at 0 seconds; 10 mi/hr at 1 second; 20 mi/hr at 2 seconds; 30 mi/hr at 3 seconds; and 40 mi/hr at 4 seconds,

As we know that acceleration is the rate of the change in velocity,

acceleration of the Ima's car = 10 miles /hour /second

1 mile = 1609 meters

10 miles = 16090 meters

1 hour = 3600 seconds

acceleration of the Ima's car = 16090 meters  /3600 seconds/second

                                               =4.4694 meters/second²

Thus, the acceleration of Ima's car would be 4.4694 meters/second²

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We divide the force acting on the test charge by its size. Take into account a point charge Q that is at the origin. F = (keQq/r2/r) (r/r) is the force acting on a test charge q at point r. Q generates an electric field with the formula E = F/q = (keQ/r2)(r/r).

The force acting on positive charge is exerted in the direction of the electric field. F = qE gives the real force acting on a particle with charge q. In the case of a negative charge, it points away from the electric field E.

A particle's kinetic energy is equal to half of the result.

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Answer:

False

Explanation:

10 is not the same as -10 but if -10 is the absolute value they would be the  same

Give me brainllest

Answer:

E = h ν = h c / λ

E = (6.63E-34 J-s * 3.00E8 m/s) / 757.7E-9 m

E = 2.62E-19 J

Note 1 eV = 1.60E-19 J

ν = c / λ = 3.00E8 / 110.9E-9 = 2.71E15 / sec

How much energy (in joules) does a photon of wavelength 757.7 nm have.The energy of the photon with a wavelength of 757.7 nm is 2.61 x 10^-19 J. The energy of a photon is given by the formula: E = hc/λwhere E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength of the photon.

Substituting the given values, we get: E = (6.626 x 10^-34 J s)(3.00 x 10^8 m/s)/(757.7 x 10^-9 m)E = 2.61 x 10^-19 JTherefore, the energy of the photon with a wavelength of 757.7 nm is 2.61 x 10^-19 J. What is the frequency (in Hz) of light that has a wavelength of 110.9 nm  The frequency of light with a wavelength of 110.9 nm is 2.70 x 10^15 Hz. The frequency of light is given by the formula:f = c/λwhere f is the frequency, c is the speed of light, and λ is the wavelength of the light.

Substituting the given values, we get:f = (3.00 x 10^8 m/s)/(110.9 x 10^-9 m)f = 2.70 x 10^15 Hz Therefore, the frequency of light with a wavelength of 110.9 nm is 2.70 x 10^15 Hz. How much energy (in joules) does a photon of wavelength 757.7 nm have.The energy of the photon with a wavelength of 757.7 nm is 2.61 x 10^-19 J. The energy of a photon is given by the formula: E = hc/λwhere E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength of the photon.

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Answer:

This question is incomplete, the options are:

A) The object absorbs most white light and refracts most green light.

B) The object refracts most white light and absorbs most green light.

C) More green light is absorbed while more red and blue light is reflected.

D) More green light is reflected while more red and blue light is absorbed.

The answer is D.

Explanation:

Light is an electromagnetic wave that contains different colours at different wavelength. The colour of light that is seen depends on the wavelength of light that is REFLECTED, while other wavelengths of light are ABSORBED. This feature is dependent on the properties of each object that received the sunlight.

For example, an object will appear GREEN because it has properties that enables it to REFLECT most of the GREEN LIGHT but absorbs most of the RED AND BLUE LIGHT in the sunlight passing through the object.

Answer:

D

Explanation:

More green light is reflected while more red and blue light is absorbed.

Answer:

both magnesium and strontium have 2 valence electrons

Explanation:

potassium has 8 valence electrons, and nitrogen has 5.

Explanation:

Remember

  V = IR       which is    V/I = R      120 v / .5 A = 240 Ω

The average value of the potential energy for an electron in a 1s orbital is given by (6ε₀e²/a₀⁴).

To calculate the average value of the potential energy for an electron in a 1s orbital, we need to integrate the product of the wavefunction and the potential energy operator over all space.

The potential energy operator for the hydrogen atom is given as:

V^(r) = - (4πε₀/r) * e²

The wavefunction for the 1s orbital is given as:

ψ(r, θ, φ) = (1/√(π*a₀³)) * e^(-r/a₀)

To find the average value of the potential energy, we need to evaluate the integral:

⟨V⟩ = ∫ ψ*(r, θ, φ) * V^(r) * ψ(r, θ, φ) * r² sin(θ) dr dθ dφ

Given that the wavefunction is spherically symmetric, we can ignore the angular components (θ and φ) in the integral.

⟨V⟩ = ∫ ψ*(r) * V^(r) * ψ(r) * r² dr

Substituting the expressions for the wavefunction and potential energy operator:

⟨V⟩ = ∫ [(1/√(πa₀³)) * e^(-r/a₀)] * [-(4πε₀/r) * e²] * [(1/√(πa₀³)) * e^(-r/a₀)] * r² dr

Simplifying the expression:

⟨V⟩ = -(4πε₀e²/π²a₀⁶) ∫ e^(-2r/a₀) r² dr

The integral can be solved using standard techniques, which gives:

⟨V⟩ = -(4πε₀e²/π²a₀⁶) * [(-3a₀²/2) * e^(-2r/a₀) | 0 to ∞]

Evaluating the limits of integration:

⟨V⟩ = (4πε₀e²/π²a₀⁶) * (3a₀²/2)

Simplifying further:

⟨V⟩ = (6ε₀e²/a₀⁴)

Therefore, the average value of the potential energy for an electron in a 1s orbital is given by (6ε₀e²/a₀⁴).

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Answer:

Typically found in eukaryotic cells, centrioles are cylindrical (tube-like) structures/organelles composed of microtubules. In the cell, centrioles aid in cell division by facilitating the separation of chromosomes. For this reason, they are located near the nucleus.

Answer:

sorry im just gettig points but the actaul anserw is on top of this oneExplanation:

Bye

The average velocity of the ball on Neptune over the time interval [5,9] is 0.703 meters per second.

The average velocity of an object is determined by dividing the change in position (distance traveled) by the change in time. In this case, the ball on Neptune traveled a distance of 5.62 meters in 1 second.

To calculate the average velocity over the time interval [5,9], we need to find the change in position and the change in time. The change in position is given as s(1) = 5.62 meters at t = 1 second. We can find the position at t = 9 seconds by using the formula for free fall motion: s(t) = s(1) + (1/2)gt^2, where g is the acceleration due to gravity.

Using this formula, we can calculate the position at t = 9 seconds as follows:

s(9) = s(1) + (1/2)gt^²

     = 5.62 + (1/2)(-11.15)(9)^²

     = 5.62 - 448.27

     = -442.65 meters

Now we can calculate the change in position:

Δs = s(9) - s(5)

  = (-442.65) - 0

  = -442.65 meters

The change in time is given as Δt = 9 - 5 = 4 seconds.

Finally, we can calculate the average velocity:

Average velocity = Δs / Δt

               = (-442.65) / 4

               = -110.66 meters per second

Since velocity is a vector quantity, the negative sign indicates that the ball is moving in the opposite direction of the positive coordinate axis. Therefore, the average velocity of the ball on Neptune over the time interval [5,9] is 0.703 meters per second in the opposite direction.

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Answer:

This brightly colored fish is native to the Indo-Pacific from Australia north to southern Japan and south to Micronesia.  The lionfish is usually found in coral reefs of tropical waters, hovering in caves or near crevices.  Native regions as well as Savannah, Georgia; Palm Beach and Boca Raton, Florida; Long Island, New York; Bermuda and possibly Charleston. In southern Florida and off the coast of the Carolinas in early to mid 1990s.

Answer:I really don't know sorry

Explanation:

A. The period of vibration is the time it takes for one complete oscillation to occur. It is the reciprocal of the frequency. The period of vibration can be calculated using the formula:

Period = 1/Frequency

Given that the frequency of vibration is 5.0Hz, the period of vibration is:

Period = 1/5.0 s

Period = 0.2 s

B. If the cart's mass is doubled while the spring constant remains unchanged, the frequency of vibration will not change. This is because frequency is dependent on the spring constant and the mass of the cart and not on the amplitude of the oscillation.

C. If the spring constant doubles while the cart's mass remains the same, the frequency of vibration will also double. This is because frequency is directly proportional to the square root of the spring constant. Therefore, doubling the spring constant would lead to an increase in the frequency of vibration by a factor of square root of 2.

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Answer:

easier topics require less time to review

Explanation:

If the velocity-time equation for a golf cart is v = (1 m/s) + (-0.5 m/s)t , then the initial velocity of the cart would be 1 m / s and the acceleration of the cart would be - 0.5 m / s² .

The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².

As given in the problem the velocity-time equation for a golf cart is

v = (1 m/s) + (-0.5 m/s)t ,

The initial velocity of the cart at t = 0  would be 1 m / s.

By differentiating the given equation of the velocity,

The acceleration of the cart would be -0.5 m / s.

Thus, the initial velocity would be 1 m / s and the acceleration would be  -0.5 m / s.

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Answer:

Higher mass or higher speed

Explanation:

Higher mass will require more force

F= ma       if m goes up  F   goes up   to stop in the same distance

Answer:

c

Explanation: