The linear density of a string is 1.6 10-4 kg/m. A transverse wave on the string is described by the equation y = (0.021 m) sin[(2.7 m-1)x + (20 s-1)t].what is the wave speed?what is the tension in the string?

The transverse velocity of the particle at x=0 when t=5.0 s is 2.5 cm/s.

y(x,t) = ymsin(kx +- wt + Ф)

(a). At t =0 , y verses x is positive sine function

(b). Ym = y5 = 4 cm

(c). k = 2Π/λ = (2*3.14)/20 = 0.314 rad cm⁻¹

(d). w = 2Πf  = 2Π/T = (2*3.14)/10 = 0.628 rad/sec

(e). since at t =0 , x= 0

                     y = Ym sinΦ

                      but y = 0 from graph  

                       sinΦ = 0   Φ=0

(f). sin in front of w is 't'

(g) . speed = v= w/k = 0.628/0.314 = 2cm/s

(h) .  at x = 0

   y = ym sinwt

  vy = dy/dt= wym constant

  = 0.628*4*cos(0.628*5)

vy = 2.5 cm/s

Wavelength is the spatial period of a periodic wave, i.e. the distance over which the wave shape repeats. [1][2] This is the distance between successive corresponding points of the same phase in the wave. B. Two adjacent peaks, valleys, or zero crossings, characteristic of both traveling and standing waves and other spatial wave patterns.

The reciprocal of wavelength is called spatial frequency. Wavelength is usually represented by the Greek letter lambda (λ). The term wavelength is also sometimes applied to the sinusoidal envelope of modulated waves and waves formed by interference of modulated waves or multiple sinusoids.

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1.25 cm is the height of the image. 160 cm separates a converging lens with such a 40 cm focal length from a diverging lens with the a -40 cm focal length. The converging lens is 60 cm away from a 2.5 cm tall item.

A lens that conforms a parallel source beam of light is known as a converging lens. One kind of converging lens is a double convex lens. Converging Lens A lens that separates a parallel light beam is known as a diverging lens. Diverging lenses include those that are double concave.

For the diverging lens, this image height corresponds to object height. We obtain h ′D=(20cm40cm)(5.0cm)=1.25cm again for diverging lens as a result.

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Note that for a severe supercell ts to form over the great plains, one would expect the 5,000 AGL wind to be 190/45kts (Option D)

A supercell thunderstorm is distinguished by the presence of a mesocyclone, which is a deep, continually revolving updraft. As a result, these storms are sometimes known as spinning thunderstorms.

Supercells are storms that have updrafts that spin along a vertical axis and are generally but not always thunderstorms. This rotation is caused by shear in the environmental wind field (a change in wind direction and/or speed with height) that surrounds the storm as it grows.

Supercell thunderstorms are intense, long-lived storms that are characterized by strong wind shear and rotational dynamics.

The wind shear, or the change in wind speed and direction with height, is a key factor in the development and maintenance of supercell thunderstorms.

Note that AGL means Above Ground Level; while

KTS means Knots. Knots are a unit measurement of speed. I nautical mile is usually equated to one knot.

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When the gymnast starts to jump his potential energy starts to convert to kinetic energy. But when he reaches the maximum height and stop there for seconds, potential energy regains. Thus, option C is correct.

Potential energy of an object is the energy stored in it by virtue of its position. Potential energy increases with increases in mass and height which is clear from the equation for potential energy

p = mgh

Kinetic energy is generated by motion of the object. Thus, only a moving body attains a kinetic energy. Kinetic energy depends on the mass and velocity of the object.

Here, the gymnast gains a kinetic energy when he starts to jump from rest. But, when he reaches the maximum height where the speed slows down, his kinetic energy converts to potential energy. Thus, option C is correct.

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Your question is incomplete. But your complete question probably was:

A gymnast uses a flexible stick to jump over the bar. Which of the following

describes energy changes when he reaches the highest point of his jump?

A) kinetic- potential- potential

B) kinetic- potential- kinetic

C) potential - kinetic – potential

D) potential- potential- kinetic

In the absence of an external force, the total linear momentum of the system maintains conservation, indicating that the speed of the system's center of mass is constant.

This is because the spring force between the masses acts as an internal force between the two masses.

The product of an object's mass, m, and velocity, v, is known as linear momentum, and it is a vector quantity. In order to express it and refer to momentum informally, the letter "p" is utilized. You should be aware that a body's momentum always points in the same direction as its velocity vector. Because it is a conserved quantity, the overall momentum of a system is always constant. Linear momentum is measured in kg/s.

The total linear momentum prior to an object's interaction and the total linear momentum following that interaction is identical. Any system of objects that is subject to no net external force has a constant total linear momentum.

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A basketball experiences four forces as it soars through the air. The ball is being pulled down to the Earth by gravity, being propelled upward by buoyancy, and slowed down due to the drag force created by the air it collides with.

A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

For instance, a basketball will strike the ground hard when it is dribbled. The ground's force on the ball is balanced by this force of the ball on the ground. The ball is sent upwards by the second force since it acts in the opposite direction. There are numerous characteristics of motion that depend on this interaction.

Thus, A basketball experiences four forces as it soars through the air.

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4th paths out of 1 - 5 would the bowling ball most closely follow as it falls to the ground

The bowling ball moves due to the resultant force of the vertical and horizontal direction.

The overall force operating on the item or body as well as the direction in which the body is moving are referred to as the resultant force. When the object is stationary or moving at the same speed as it, there is no consequent force.

The outcome is what is produced when vectors are added together. The biggest (maximum) consequent when adding two vectors is equal to their sum when forces are acting in the same direction.

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The degeneracies of the first, fourth and fifth energy levels for the three dimensionsal cubical box are 1, 3 and 1.

Calculation :

Given Data

A three-dimensional cubic box with

lx=ly=lz=Li.

For a 3D cubic box, the energy of the particle in a box is having a formula given below,

E3D=h²8m(n²x/l²x+n²y/l²y+n²z/l²z)

Given,

lx=ly=lz=Li, put in the above equation, we get,

E3D=h²/8m(n²x/L²+n²y/L²+n²z/L²)

E3D=h²/8mL²(n²x+n²y+n²z)

Now, for the First energy level, the energy will be,

E3D=h²/8mL²(1²+1²+1²)

E3D=3h²/8mL²

The degeneracy is equal to 1 because nx=ny=nz=1.

Now, for the Fourth energy level, the energy will be,

E3D=h²/8mL²(1²+1²+3²)

E3D=h²/8mL²(1+1+9)

E3D=11h²8mL²

The degeneracy is equal to 3 because, nx=1,ny=1,nz=3,nx=1,ny=3,nz=1 and nx=3,ny=1,nz=1.

Now, for the Fifth energy level, the energy will be,

E3D=h²/8mL²(2²+2²+2²)

E3D=h²/8mL²(4+4+4)

E3D=12h²/8mL²

The degeneracy is equal to 1 because nx=2,ny=2,nz=2.

Therefore, the degeneracies of the first, fourth and fifth energy levels are 1, 3 and 1.

Energy levels are degenerate if they correspond to two or more different measurable states of a quantum system. Conversely, two or more distinct states of a quantum mechanical system are said to be degenerate if they have the same energy value when measured. The number of different states corresponding to a particular energy level is called the degeneracy of the level.

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The length L₂ for destructive interference is  L₂ = 22 m

A sound wave is a mechanical wave which carries sound energy from one point to another.

Since two point sources S₁ and S₂, Which are in phase and emit identical sound waves of wavelength 2.0 m: The length L₁ = 21 m. A listener stands at point P: Assume the amplitude of individual sound reaching at point P does not change, to find L₂, we need to know the path difference for destructive interference.

The path difference for destructive interference is given by ΔL = (n + 1)λ/2

where

Since we require the least intensity, we have the minimum interference. So, n = 0.

So, ΔL = (n + 1)λ/2

ΔL = (0 + 1)λ/2

L₂ - L₁ = λ/2

So, making L₂ subject of the formula, we have

L₂ = L₁ + λ/2

Given that

Substituting the values of the variables into the equation, we have that

L₂ = L₁ + λ/2

L₂ = 21 m + 2.0 m/2

L₂ = 21 m + 1 m

L₂ = 22 m

So, the length L₂ = 22 m

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The distance that the bullet penetrates is 0.03m.

Given data:

The mass of the bullet is

m = 25 g = 0.025 kg

The bullet's initial velocity is

u = 350 m/s

The final velocity of the bullet is

v = 0

The average force opposing the motion is

F = 50000N

From Newton's second law, the acceleration derived as,

F = m. a.

a = F. m..........(1)

Substituting values in equation (1), we get:

a = 50000 N / 0.025 kg = 2×106 m/s 2

The equation of motion is,

v 2=u 2−2 a S

2 a S=u 2−v 2

S = u 2−v 2/2 a.......(2)

Substituting values in equation (2), we get:

S = (350 m/s)2−0/2(2×106 m/s 2)

 =12.25×104 m/s 4×106 m/s 2=0.03m

here, the distance that bullet penetrates is 0.03m.

Kinetic energy has the following formula: K.E. = 1/2 m v 2, where m is the object's mass and v is its square velocity. The kinetic energy is measured in kg/m per second squared if the mass is measured in kg and the velocity is measured in meters per second.

Radiant, thermal, electrical, and mechanical kinetic energies are the basic categories.

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The intensity pattern visible on a screen behind the slits can be stated to depend on the screen's distance (d=1.168m).

From the question we are told,

Two slits that are 0.20 mm apart are illuminated by 650 nm light. The intensity pattern shown on a screen behind the slits is depicted in (Figure 1).

Typically, the mathematical formula for the distance is as follows:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

d=0.33x10^-2x0.23x10^-3/650x10^-9

d=1.168m

The distance formula is a formula used to determine how far apart two places are from one another. The dimensions of these points are unlimited. For instance, you could need to determine the separation between two points in space, a plane, or a line (1, 2, or 3 dimensions) (3d).

Distance is the overall, directionless movement of an object. Distance can be characterized as the amount of space an object has covered, regardless of the starting or ending location.

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It is easy to measure the period using the photogate timer.

Photogate timer is used to study free fall, rolling objects, collisions, and pendulums. Photogates allow for extremely accurate timing of events within physics experiments, for studying free fall, air track collisions, pendulum periods, the speed of a rolling object, among other things.

To measure the period of a simple pendulum, we set the simple pendulum into oscillation. Let's say 10 oscillations. The time to complete this oscillation is recorded. This time is divided by the no of oscillation to get the period. Period is also measured in second.

This means that period of a simple pendulum is given as T = t/n

where T is the period and t is the time to complete a given oscillation.

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When completely filled with apples, the crate weighs 15 kg; when only 2/3 full, it weighs 11 kg; and when only 1/3 full (with only 1/3 of the crate's apples), it weighs 15-11=4 kg.

Definition of WEIGH in the Britannica Dictionary. She measures herself every morning in order to determine how heavy she is. 1. a [+ object]: to determine (someone or something's) weight. The bananas were weighed using a scale.

To quantify weight or mass, one uses a scale or balance. These are also referred to as weight balances, mass balances, and scales of both mass and weight.

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Particles can exist in classically forbidden regions outside the finite square-well potential.

The correct option is D.

In the absence of quantum effects, everything would be continuous, smooth, and completely predictable in the Newtonian sense. However, we may not be here to get bored with this if Planck's constant were 0.

At the atomic scale, the behavior of both particles and waves is described by Planck's constant. One of the factors that led to the creation of quantum mechanics is Planck's constant. It was a surprise when those boundaries also turned to represent the limits where known rules of physics applied since the Planck scaled was developed as an universal set of units.

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The electric field strength in volts per meter is calculated to be 4.095 V/m.

Given that, speed v = 3.9 * 10 m/s

Magnetic field B = 0.105 T

Using the mass spectrometer velocity selector relationship between the electric field and magnetic field is,

v = E/B

Where,

v is the speed selector

B is magnetic field

E is electric field

Therefore, E = vB

E = 3.9 × 10 × 0.105

E = 4.095 V/m

Thus, electric field E is 4.095 V/m.

The question is incomplete. The complete question is 'What is the electric field strength in volts per meter?'

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This statement is False because Solid-state sensors are used in place of a water - absorbing element in electronic humidistats. A damper in the bypassed duct is closed during the summer period to stop airflow.

Hygroscopy - A material is said to be hygroscopic if it has the capacity to adsorb and retain water or water from its immediate surroundings. Examples include ethanol, glycerin, concentrated sulfuric acid, honey, silica gel, and methanol.

Around the soil particles, some water in the soil creates an incredibly thin, firmly held layer. It's referred to as hydroscopic water. A little amount of water in the soil is chemically linked to soil components in the soil. We refer to it as mixed water.

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When a function p(x) determines location, the velocity and acceleration are its first and second derivatives, respectively.

The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t). This enables you to calculate the change in velocity in meters per second squared (m/s2). Since acceleration is a vector quantity, both its magnitude and its direction are included. The speed and direction of an object's motion are its velocity. Alternatively put, velocity is the pace at which an object's position changes (where position incorporates direction by specifying whether the object is moving backwards or forwards on a line, or moving sideways or up and down in two or three dimensions).

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The induced current in the loop of the copper wire is found to be 7.85 mA.

The single loop of the copper wire is lying in flat plane and the magnetic field is pointing perpendicular to the plane of the loop. The area of the loop is given to be 7.8cm²

The magnetic field initially has a magnitude of 0.500 Tesla and it finally increases manner to grow to a magnitude of 3.50 Tesla in a time 1.10 seconds.

The induced EMF in the circuit will be given by the relation,

E = A∆B/∆T

Where,

B is magnetic field,

A is the area and T is the time taken.

Putting all the values,

E = 0.00078×(3.5-0.5)/1.1

E = 21.2mV.

The resistance in the copper loop is given to be 2.7 ohm.

Now, the induced current in the circuit will be given by the relation,

I = E/R

Putting all the values

I = 21.2/2.7

I = 7.85 mA.

So, the induced current in the wire is 7.85 milliamps.

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The velocity of the sailboats at sailed a distance of 81 km is 12.5 m/s.

Velocity is the rate of change of displacement.

To calculate the velocity of the sailboats, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the velocity is 12.5 m/s.

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The amplitude is 0.25s.

Calculation:

Amplitude = A = 0.225 m

Angular frequency = w = 8π rad/s.

Frequency = f = w/2π = 8π/2πHZ = 4 HZ

Time period = T = 1/f = (1/4)s = 0.25s.

The maximum displacement or distance traveled by a point on an oscillating body or shaft, measured from the equilibrium position. This corresponds to half the length of the vibration path. Amplitude difference between a rest position and maximum shaft deflection.

Frequency The number of waves passing a particular point per second. Duration  How long it takes for a wave cycle to complete. Sound wave amplitude is a measure of wave height. The amplitude of a sound wave can be defined as the magnitude or loudness of the maximum displacement from the average position of the vibrating particles in the medium when the sound was produced.

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According to the given statement 414 nm is the value of the unknown wavelength.

The distance between two wave crests, which also applies to troughs, is known as the wavelength. Cycles per second (Hz), the number of vibrations that pass across a certain region in a second, is used to measure frequency (Hertz). The link between wavelength and frequency is discussed in this article.

For third order maxima,

asinθ  = mλ

asinθ = 3 * 690

The slit width in this instance is a, and the angular spacing is.

The fifth order maximum, meanwhile

asinθ = mλ

asinθ = 5λ

Solving as,

5λ = 3 * 690

λ = 414 nm

Therefore, 414 nm is the value of the unknown wavelength.

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The maximum torque on the wire is 392.3 µN·m and the range of potential energy is -392.3µN·m(minimum) to +392.3µN·m(maximum)

Torque: Torque is a measure of the force that can cause an object to rotate about an axis. It is a vector quantity.

Given that,

diameter D=20cm

Radius r =10cm

magnetic field B =2.5mT

current I=5A

Torque= n×B

           =nBsinФ

torque=nB= NIAB

                 = 1×5×π×[tex]10^{2}[/tex]×[tex]10^{-4}[/tex]×2.5×[tex]10^{-3}[/tex]

                 = 39.23×[tex]10^{-5}[/tex]

                 = 392.3µN·m

minimum potential energy= -nB= -392.3µN·m

maximum potential energy =+nB= +392.3µN·m

Therefore the maximum torque on the wire is 392.3 µN·m when is placed in an uniform magnetic field of 2.50mT and the range of potential energy is -392.3µN·m(minimum) to +392.3µN·m(maximum)

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Option B is Correct

The velocity of the center of mass remains constant before the collision, when they collide there is a slight decrease in kinetic energy of the system since the collision is inelastic, resulting in a slight decrease of velocity, afterwards the velocity is constant again.

Velocity is the directional velocity of a moving object, observed from a given frame of reference and indicating the rate of change of position measured at a given time reference (eg 60 km/h northward). Velocity is a fundamental concept in kinematics, a branch of classical mechanics that describes the motion of bodies.

Velocity is a physical vector quantity. Both magnitude and direction are required to define it. The scalar absolute value (magnitude) of velocity is called velocity, and its magnitude is a consistent derived unit measured in the SI (metric) system as meters per second (m/s or m⋅s−1). For example, " meters/second" is a scalar, but "5 meters/second east" is a vector. An object is said to be accelerating if its velocity, direction, or both change.

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The maximum acceleration for the belt that the slipping of the crate does not appear is 2 m/s².

what is a belt?

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Answer: m = 72 kg

Explanation:

The following vectors best describes the path of the airplane Aniseed of the as plan is 528 [tex]\mathrm{mi} / \mathrm{hr}[/tex]

What is airplane?

A fixed-wing aircraft that is pushed forward by the thrust of a jet engine, propeller, or rocket engine is known as an aeroplane or aeroplane. There are many different sizes, forms, and wing arrangements for airplanes.

[tex]\text { bearing } 25^{\circ} \text { west of north }[/tex]

[tex]\text { Since } \quad 90^{\circ}+25^{\circ}=115^{\circ}[/tex]

[tex]\text { so path of the airplane is }[/tex]

[tex]\left.v=528 \cos \left(i 15^{\circ}\right) i+528 \sin \left(115^{\circ}\right)\right][/tex]

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Combination of swimming and biking times that meets distance and the time constraints in this situation is s + b ≤ 2. An inequality that represents  number of gift items that Elena needs is : 3b+5n≤30.

If athletes train for not more than 2 hours a day, then the sum of the hours training swimming 'a' and biking 'b' should be less than or equal to 2. Hence, we can write the following inequality:

s + b ≤ 2

Inequality that represents Mai's statement is:

s + b ≤ 2

Part 2:

It is given that , bracelets cost $3, necklaces cost $5 and she can spend not more than $30

Then the inequality that represents the number of gift items that Elena needs :  3b+5n≤30

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A roller coaster starts from rest at point  is option C) the kinetic energy of the coaster at C will be equal to its potential energy at A.

Since Two objects are sliding at the same speed across a wooden surface. The  distance traveled by the second object is option B) 2S

A person's weight measured in the elevator immediately after the elevator starts to fall is option E) zero A force F produces an acceleration a on an object of mass m.

The mass of the second object is option D) (3/8)m.

The amount of kinetic energy change and the amount of potential energy change are identical in all physical processes that take place in closed systems. When the kinetic energy rises, the potential energy falls, and vice versa.

Wave speed is the number of meters a wave travels in a second, or the distance a wave travels in a particular amount of time. Equation Speed = Wavelength x Frequency describes how wave speed relates to wave wavelength and wave frequency.

Therefore, When wavelength and frequency are known potential energy stored energy that depends on the relative positions of different components of a system may be utilized to compute wave speed—this equation can be used to determine wave speed. When stretched or squeezed, a spring has higher potential energy.

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(A) With 268.94 N tension must she stretch it.

26% increase in tension is needed to increase the frequency from 65.4 Hz to 73.4 Hz, corresponding to a rise in pitch from C to D.

Part (A)

Fundamental frequency =f0= 65.4 Hz.

The length of the vibrating portion of the string = l = 0.615 m

Mass= m = 14.8 g

We know, [tex]f_0 = \frac{v}{2l}[/tex]

So, the value of v will be 65.4*2*0.615 = 80.442 m/s

As, We know,

[tex]T=\frac{v^2}{\frac{m}{l}}[/tex]

So, the value of tension will be: [tex]\frac{80.442^2}{\frac{14.8}{0.615}}=\frac{6470.91}{24.06}=268.94\:N[/tex]

Part (B)

Fundamental frequency =f0= 73.4 Hz.

The length of the vibrating portion of the string = l = 0.615 m

Mass= m = 14.8 g

We know, [tex]f_0 = \frac{v}{2l}[/tex]

So, the value of v will be 73.4*2*0.615 = 90.282 m/s

As, We know,

[tex]T=\frac{v^2}{\frac{m}{l}}[/tex]

So, the value of tension will be: [tex]\frac{90.282^2}{\frac{14.8}{0.615}}=\frac{8150.8395}{24.06}=338.77\:N[/tex]

So, the percentage increase in tension will be [tex]\frac{338.77-268.94}{268.94}\times 100\%=25.96\% \approx 26\%[/tex]

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The complete question should be:

a cellist tunes the c-string of her instrument to a fundamental frequency of 65.4 hz. the vibrating portion of the string is 0.615 m long and has a mass of 14.8 g .

Part A: With what tension must she stretch it?

Part B

What percent increase in tension is needed to increase the frequency from 65.4 Hz to 73.4 Hz, corresponding to a rise in pitch from C to D?

The spring and pan have very little mass. The mass executes a SHM when it is lightly squeezed and then released.

Forces, location, velocity, and energy—both kinetic and potential energy—are some examples of these quantities. Hoare's Rule. Energy conservation: When the compressed spring returns to its natural length, all of the energy that was stored in it is transformed into kinetic energy. The block is propelled along a horizontal surface as the spring is let go. Friction and the spring's bulk can be disregarded. Between two blocks with masses of 1 kg and 2 kg that are lying on a smooth horizontal surface is a compressed elastic spring. The block is freed from rest once the spring has been compressed by 2.0 cm.

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