ODE solver ode15s does non-stiff problems more slowly than ode45, but it performs stiff problems more quickly. almost always The solver you should use initially is ode45. If there are rough tolerances or moderate stiffness present, ode23 may perform better than ode45.
ODE 45: What Does It Mean?The ODE solvers' preferred function is often ODE45. In order to calculate step size and estimate error, it compares approaches of orders four and five. Because ODE45 is so precise, using its interpolant to produce results at intermediate points is its default practice.
What distinguishes the odes ode45 and ode113?In cases of tight tolerances or when evaluating the ODE function is very costly, ode113 might be more effective than ode45. ODE 113 is a multistep solver; in order to calculate the current solution, it typically needs the solutions at several earlier time points.
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If you catch the ruler 8.3 cm from the lower end, what is your reaction time?
Answer:
3*3-४3*74-7%**&-*%३;9८32&*7५३३6
How do you calculate ammeter reading?
Voltmeters are typically connected in parallel because they have high resistance, while ammeters are typically connected in series to measure current since they have low resistance and the voltage drop would be minimal.
How to read ammeter reading?Ammeter resistance is typically in the range of 0.5 ohm.However, when we connect as indicated, 10 ohm and 0.5 ohm are in parallel, resulting in a 40 amp current in the ammeter and a 2 amp current in the 10 ohm resistor. As a result, the ammeter will read 40 amp even if only 2 amp of current is flowing through the 10 ohm resistance.An ammeter is a device used to gauge the current flowing through a circuit. Amperes are units used to measure electric currents, therefore the name. The ammeter is connected in series with the circuit being used to measure the current for direct measurement.For more information on ammeter kindly visit to
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a ball is swung in a vertical circle such that at one point along its circular path the forces exerted on the ball can be represented by the free body diagram. the magnitude of the tension force exerted on the ball, t, is twice that of the force due to gravity exerted on the ball from earth, fg. what is the location of the ball, and what is the magnitude of the centripetal acceleration of the ball?
Location of the ball is top of the circle and acceleration is 3g.
Since tension force is more, surely ball is having net force upward and hence, the location of the ball in this case is top of the circle.
Any object that moves in a circle has an acceleration vector towards the center of that circle. This is known as Centripetal acceleration.
total force/ net force when ball is top of the circle is sum of tension force and gravity force.
[tex]F_{net[/tex] = T + mg
Because of this net force, there is centripetal acceleration towards the center.
so, T + mg = ma
2mg + mg = ma
3mg = ma
a = 3 × force of gravity
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a shot-putter accelerates a 5 kg shot put from rest to 11.2 m/s in a distance of .5 m. find the following: what is the work done on the shot put? what is the force exerted by the shot-putter? what power did the shot putter use?
(a) The work done by the shot-putter is 313.6 J.
(b) The force exerted by the shot-putter is 627.2 N.
(c) The power used by the shot putter is 7024.6 Watt.
What is the work done by the shot-putter?
The work done by the shot-putter is equal to the change in the kinetic energy of the shot-put.
W = ΔK.E
W = ¹/₂m(v² - u²)
where;
m is the mass of the shot-putv is the final velocity of the shot-putu is the initial velocity of the shot-put = 0 (since it started from rest)W = ¹/₂m(v² - 0)
W = ¹/₂mv²
W = ¹/₂(5)(11.2)²
W = 313.6 J
The force exerted by the shot-putter is calculated as follows;
W = Fd
where;
F is the applied forced is the displacement of the shot-putF = W / d
F = ( 313.6 J ) / (0.5 m)
F = 627.2 N
The power used by the shot putter is calculated as follows;
P = Fv
P = (627.2 N) x (11.2 m/s)
P = 7,024.6 Watt
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can somebody answer this
Based on the given diagram that contains four items with a predefined mass, it is stated that the four items which are: sponge, glass, eraser and steel are submerged in water for 30 minutes, when they are all brough out, the item that would likely have an increase in weight is the sponge.
What is Weight?This refers to the term that is used to describe and define the force exerted by gravity on an object. The gravitational force acting on the item is referred to as weight in several common textbooks. Some people refer to weight as a scalar quantity that measures the gravitational force's strength.
Hence, it can be seen that a sponge is a foamy material that absorbs water, unlike the other materials and this is the material that would feature an increase in weight after being submerged in water for 30 minutes.
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I need help in this question
The only true statement about the toy car is " the toy does not approach the spring".
option A is the correct answer.
What is the acceleration of the toy car?The acceleration of the car is calculated by applying Newton's second law of motion, which states that the force applied to an object is directly proportional to the product of mass and acceleration of the object.
F - Ff = 0
F = Ff
ma = μmg
a = μg
where;
a is the acceleration of the carμ is the coefficient of frictiong is acceleration due to gravitya = 0.14 x 9.8 m/s².
a = 1.37 m/s²
The distance traveled by the car before stopping is calculated as follows;
v² = u² - 2as
where;
v is the final velocity of the caru is the initial velocitys is the distance travelledwhen the car stop's the final velocity, v = 0
0 = u² - 2as
2as = u²
s = u²/2a
s = ( 2² ) / ( 2 x 1.37 )
s = 1.5 m
Thus, the final distance travelled by the car is less than 3 m, hence the car did not come in contact with spring.
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if an object is placed beyond the the focal length of a converging lens (s>f) the image will be
if an object is placed beyond the focal length of a converging len, the image will be real smaller image or real and bigger image depending on the position.
We have four positions of object in front of a converging lens, accordingly there are three types of images formed.
1) When object is placed at infinity - image is real and tiny sized. This image is formed at the focus.
2) when object is placed beyond 2F - image is real and smaller than object.
3) When object is placed at 2F - image is real and equal in size to object.
4) when object is placed between 2F and F - image is real and bigger than object.
A converging lens is a convex lens which converges all the rays coming parallel to the principal axis at a point on the principal axis, called focus.
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the uniform beam has a weight w and length l and is supported by a pin at a and a cable bc.
Accordingly, the response at A in a vertical direction weight is W(2cosϕsinθ−sinϕcosθ)/2sin(θ−ϕ).
If you hang the wire from the ceiling while placing a weight on the lower end, it will sag. By dividing the length change by the starting length, the strain in the wire may be computed. By dividing the weight suspended from the wire by its cross-sectional area, the tensile tension in the wire is determined. Stress and strain have a defined ratio.
Modulus is a fundamental characteristic of industrial yarn and thread for wire and cable, especially aramid yarns (fiber elasticity). The relationship between strain (the ratio of deformation over initial length along an axis) and stress (force per unit area along that axis) is referred to as modulus.
In conclusion, cross-linking improved elastic modulus, decreased strain to failure, and had negligible effect on collagen fracture stress in the current experimental design.
The questions is incomplete I answered it in general way
The uniform beam has a weight W and length l and is supported by a pin at A and a cable BC. (Figure 1) Determine the horizontal and vertical components of reaction at A. Express your answers in terms of some or all of the variables W, l, phi and theta. Enter your answers separated by a comma.
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the (nonconservative) force propelling a 1.50 x 103 kg car up a mountain road does 4.70 x 106 j of work on the car. the car starts from rest at sea level and has a speed of 27.0 m/s at an altitude of 2.00 x 102 m above sea level. calculate the work done on the car by the combined forces of friction and air resistance, both of which are nonconservative forces.
Work done by friction and air resistance -780,000 Joules. Since the work done by the combined forces of friction and air resistance is negative, this means that these forces are doing negative work on the car, which means that they are slowing the car down.
The work done on the car by the force propelling it up the mountain road is given by W = Fd, where F is the force and d is the distance over which the force is applied. Since the force is nonconservative, the work it does on the car is not equal to the change in the car's kinetic energy. Instead, the work done by the force propelling the car is equal to the change in the car's potential energy plus the work done by the nonconservative forces of friction and air resistance.
To find the work done by the combined forces of friction and air resistance, we can use the following equation:
Work done by friction and air resistance = change in kinetic energy - change in potential energy
We can find the change in the car's kinetic energy by subtracting its initial kinetic energy (0 Joules, since it starts from rest) from its final kinetic energy. The final kinetic energy of the car is given by
[tex]KE = \frac{1}{2} mv^2[/tex]
where m is the mass of the car and v is its speed. Plugging in the values, we get:
[tex]KE = (1/2)(1.50 * 103 kg)(27.0 m/s)^2 = 2.16 * 105[/tex] joule
The change in the car's potential energy can be found by subtracting its initial potential energy (which is 0 Joules at sea level) from its final potential energy. The final potential energy of the car is given by
PE = mgh,
where m is the mass of the car, g is the acceleration due to gravity, and h is the height of the car above the ground. Plugging in the values, we get:
PE = (1.50 x 103 kg)(9.8 m/s²)(2.00 x 102 m) = 2.94 x 105 Joules
Substituting these values into the equation above, we get:
Work done by friction and air resistance = (2.16 x 105 Joules) - (2.94 x 105 Joules) = -780,000 Joules
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A road undergoes a 2.3 km turn to the N. If the road is to be rated for 100 km/hr, at what angle should the road be banked?
The angle the road should be banked is determined as 2⁰.
What angle should the road be banked?The banking angle of the road is calculated by applying the following equation.
tan ( θ ) = v² / rg
where;
θ is the banking anglev is the speed rating of the roadr is the radius of the curveg is acceleration due to gravityThe given parameters includes;
radius of the road = 2.3 km = 2,300 m
speed rating of the road = 100 km/hr = 27.78 m/s
tan ( θ ) = v² / rg
tan ( θ ) = (27.78)² / (2,300 x 9.8)
tan ( θ ) = 0.034
θ = arc tan (0.034)
θ = 2⁰
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What are the formulas to calculate energy wavelength and frequency?
Energy (E) is related to wavelength (λ) and frequency (ν) according to the equation E=hν, where h is Planck’s constant (6.626 × 10-34 J-s).
What is wavelentgh?Wavelength is the distance between two successive peaks or troughs of a wave, such as light, sound, or other forms of energy. It is measured in meters or nanometers and is related to the frequency of the wave, as the frequency is inversely proportional to the wavelength. Wavelength can also be used to describe the physical size of an object, such as a particle or cell.
The equation for calculating wavelength (λ) is λ=c/ν, where c is the speed of light (3.0 × 10⁸ m/s). The equation for calculating frequency (ν) is ν=c/λ. Therefore, the formulas for calculating energy wavelength and frequency are:
Energy (E) = hν
Wavelength (λ) = c/ν
Frequency (ν) = c/λ
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FILL IN THE BLANK. the _____ theory says people are ""pulled"" by external stimuli to act in a certain way.
The incentive theory says people are "pulled" by external stimuli to act a certain way.
Humans have both main and secondary needs that must be met in order for them to feel needed. These requirements naturally nudge a person in that direction. Hunger, thirst, and a desire for sexual activity are examples of fundamental wants. Secondary needs, on the other hand, are those that depend on advantages, with financial requirements serving as the finest illustration.
According to incentive theories, conduct is driven by the "pull" of external objectives like rewards, money, or recognition. It's simple to imagine a variety of circumstances in which a specific objective, like a job promotion, can act as an outside incentive to encourage certain actions.
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A 600-kilogram space vehicle travels at 4. 8 meters per second along the level surface of mars. If the magnitude of the gravitational field strength on the surface of mars is 3. 7 newtons per kilogram, the magnitude of the normal force acting on the vehicle is.
The magnitude of the normal force acting on the vehicle in mars is 2,220 N
The mass of the vehicle = 600 kg
The speed at which the space vehicle travels = 4.8 m/s
The gravitational field strength = 3.7 N/kg
The magnitude of the force acting on the vehicle can be found using the formula,
F = mg
where F is the force acting on the vehicle
m is the mass of the vehicle
g is the gravitational strength.
Let us substitute the known values in the above equation, we get
F = 600 x 3.7
= 2,220 N
Therefore, the force acting on the vehicle is 2,220 N
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This is finance literacy help me ASAP!!!!
Your marital status, health information, shopping patterns, financial transactions, income, account balances, criminal history, and level of education are not included in your credit report. Thus, option C is correct.
What are the item are found in credit report?Your credit report contains personal information, credit account history, credit queries, and public records. These details will be provided to the credit reporting agencies by your creditors and lenders. A significant portion of information is utilized to determine your Scores, which tell prospective lenders how creditworthy you are.
All credit reports contain essentially the same types of information, even if Experian, Equifax, and TransUnion format and publish your information differently.
Therefore, The amount of money in your checking account.
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What is spectrum of thermal radiation in micro meter Mcq?
From of the longest infrared light through the visible light spectrum to a shortest ultraviolet rays, thermal radiation spans the entire electromagnetic spectrum.
The electromagnetic spectrum is what, Mcq?
In increasing frequency and decreasing wavelength order, radio waves, microwave, infrared, visible light, ultraviolet radiation, X-rays, gamma rays, and cosmic rays make up the full electromagnetic spectrum.
What is thermal radiation, exactly?Thermal radiation is the process of transferring heat through electromagnetic radiation that is produced by thermal motion of matter particles.This electromagnetic radiation is located in the infrared portion of the spectrum, which is invisible to most Earthly bodies.
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Which forces could be used to conduct a simple experiment that tests the effect of force on an object?
Answer: electrostatic force
Explanation:
electrostatic forces pull or push on objects without touching them, which is how when you rub some materials together they can result in something called a 'charge', being moved from point A to point B.
Q5. A cyclist travels down a hill from rest at point X, without pedalling. He applies his brakes and the cycle stops at point Y.
Which energy changes have taken place between X and Y?
A) kinetic energy-> heat energy-> gravitational potential energy.
B) gravitational potential energy -> heat energy-> kinetic energy.
C) kinetic energy-> gravitational potential energy-> heat energy.
D) gravitational potential energy-> kinetic energy-> heat energy.
Answer:
B
Explanation:
At highest point gravitational energy is higher. While coming down without paddle it starts to gain heat energy and once it reaches the ground the kinetic energy is higher.
I hope my answer helps you.
Identify the following as Newton's 1st, 2nd, or 3rd Law.
All dropdowns have the same options.
What does a capacity plate indicate safe load limit?
The capacity plate tells us about the maximum load or the maximum number of people that can be carried by a vehicle.
In boats, the maximum load is measured by the capacity plate Quizlet. The maximum load for a particular region is issued by the authority of that region, which is strictly mandatory to follow. Any violation can lead to strict punishment. Load limit can be calculated by subtracting curb weight from GVWR.
Load limit= GVWR- curb weight
By staying within the load limit one can increase the life of a vehicle also. It is also for human safety purposes.
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a flat coil of wire consisting of 240 turns, each with an area of 40 cm, is positioned perpendicularly to a uniform magnetic field that increases its magnitude at a constant rate from 0.27 t to -0.77 t in 5.3 s. if the coil has a total resistance of 22 , what is the magnitude of the induced current when the field is -0.25 t?
magnitude of the induced current
where I = 0.5A
Briefing
Knowing that the formula for magnetic flux is = NBA
Here, N is the number of turns,
B is the magnetic field,
and A is the area of the loop.
Knowing that the coil's EMF will be induced by the rate of change in magnetic flux,
we may calculate it as EMF = NA db/dt.
To find the induced EMF,
we now plug in all values.EMF = 0.2
voltageTherefore, according to Ohm's rule,
Current = EMF/Resistance I = 0.2/0.40.
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Why does magnesium bromide have a 2?
There are two bromide ions are required for every magnesium ion, so, magnesium bromide has a 2.
The chemical formula of magnesium bromide is [tex]MgBr_2[/tex]
As we know, the atomic number of magnesium is 12, while the atomic number of bromine is 35.
So, the electron distribution of Mg will be - 2,8,2
So, Mg needs to release its 2 electrons to complete its octet.
The electronic configuration of Br will be [tex]1s^2, 2s^2, 2p^6, 3s^2, 3p^6, 4s^2, 3d^{10}, 4p^5.[/tex]
Here, the valence electrons are in the 4s and 4p orbitals giving Bromine 7 valence electrons.
So, bromine needs one electron to complete its octet.
From above we can conclude that,
For compensating 2 electrons of Mg, 2 atoms of Bromine is required.
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What is the value of threshold voltage in 180nm technology node?
The threshold voltages for NMOS transistors in the 180 nm technology are Vth,r = 0.592 V and Vth,n = 0.068 V.
What does technology with a 180 nm mean?Leading semiconductor firms, first with TSMC and Fujitsu, then Sony, Toshiba, Intel, AMD, Texas Instruments, and IBM, commercialized the 180 nm process, a MOSFET (CMOS) semiconductor process technology, between 1998 and 2000.
What is Threshold voltage?The Threshold voltage at which a sizable current begins to flow from the source to the drain is referred to as the threshold voltage.
A thin inversion layer that separates the insulating from the real body of a transistor is typically used to build a threshold voltage. The region's surface is covered with tiny holes that are positively charged, and when electricity is applied, the particles in these spaces are repelled.
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Suppoe that the electric field part of an electromagnetic wave in vacuum i 5 E-3. 1 Co (18 5. 4x101)
(a) What i the direction of propagation?
(b) What i the wavelength ?
(c) What i the frequency?
(d) What i the amplitude of the magnetic field part of the wave?
(e) Write an expreion for the magnetic field part of the wave
The given question is incomplete, and hence, can not be answered. Still, adding some relevant information for your reference.
What are electromagnetic waves?
Electromagnetic waves, or EM waves, are waves produced by oscillations between electric and magnetic fields. In other words, EM waves consist of oscillating magnetic and electric fields.
Electromagnetic waves are produced when an electric field contacts a magnetic field. Therefore, they are called "electromagnetic waves". The electric and magnetic fields of electromagnetic waves are perpendicular (right angles) to each other. They are also perpendicular to the EM wave direction. The
EM wave propagates in vacuum with a constant velocity of 3.00 x 108 ms-1. They are not deflected by electric or magnetic fields. However, they can exhibit interference or diffraction. Electromagnetic waves penetrate everything, including air, solids, and vacuums. No medium is required to diffuse or move from one place to another.
The given question is incomplete, and hence, can not be answered. Still, adding some relevant information for your reference.
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What is maximum loading capacity?
The maximum amount of weight that we can load on a vehicle is known as maximum loading capacity.
The maximum loading capacity of any vehicle can be define as that maximum value of the weight of the body that we can load on the vehicle without damaging any part of the vehicle.
The maximum loading capacity of the vehicle is decided by doing certain experiments and observation by the makers and the manufacturers of the parts of the vehicle.
To avoid accidents and unfortunate events the maximum loading capacity is always higher than the prescribed limit of weight for the vehicle.
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A parallel-plate capacitor has a voltage v = 6.0 v between its plates. each plate carries a surface charge density σ = 7.0 nc/m2. what is the separation of the plates?
The separation of the plates in this parallel-plate capacitor is approximately 6.49 micrometers.
The separation of the plates in a parallel-plate capacitor can be calculated using the equation:
d = ε0 * ∆V/σ
where d is the separation of the plates, ε0 is the electric constant (also known as the permittivity of free space), ∆V is the potential difference between the plates, and σ is the surface charge density on the plates.
In this case, the potential difference between the plates is given as v = 6.0 V, and the surface charge density on the plates is given as σ = 7.0 nC/m^2. Plugging these values into the equation above, we get:
d = (8.85 x 10^-12 C^2/N*m^2) * (6.0 V) / (7.0 nC/m^2)
This simplifies to:
d = 6.49 x 10^-6 m
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solid wooden sphere of volume 0.0100 m3 floats freely exactly one-half submerged in a liquid of density 800 kg/m3. a lightweight cord is now tied to the sphere and is used to pull the sphere under the surface and hold it completely submerged. what is the tension in the cord?
The tension in the cord is 39.2 N.
What is tension in the cord?
The tension in the cord used in pulling down the solid wooden sphere is equal to the weight of the solid wooden sphere .
The weight of the sphere is calculated from the density of the solid wooden sphere.
S.G = density of solid wooden sphere / density of liquid
where;
S.G is specific gravity of the solid wooden sphere¹/₂ = ρ / (800 kg/m³)
ρ = ¹/₂ x 800 kg/m³
ρ = 400 kg/m³
The mass of the solid wooden sphere is calculated as;
m = density x volume
m = 400 kg/m³ x 0.01 m³
m = 4 kg
The tension in the cord is calculated as follows;
T = W = mg
T = 4 kg x 9.8 m/s²
T = 39.2 N
Thus, the tension in cord is equal to the weight of the solid wooden sphere submerged in the liquid.
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The greater efficiency achieved with the curved blades of a pelton wheel is due to
Answer:
bouncing
Explanation:
The greater efficiency achieved with the curved blades of a pelton wheel is due to bouncing.
What is required to start an object moving?
To start an object moving, a force must be applied to the object which must be greater than the forces that are acting to keep the object at rest.
The amount of force needed to start an object moving depends on the mass of the object, as well as the type and magnitude of the forces acting on it. For example, it may take more force to start a heavy object moving than a light object, and it may take more force to start an object moving on a rough or slippery surface than on a smooth or sticky surface.
To apply a force to an object, we can push or pull on it, use a lever or other mechanical advantage to amplify the force, or use an external force such as gravity or a motor to move the object. Once the object is moving, it will continue to move unless acted upon by another force.
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Why 3 define the term frequency?
Frequency, in physics, the number of waves that pass fixed point in unit time; also, the number of cycles or vibrations undergone during one unit of time by a body in periodic motion.
What is frequency?
The definition of frequency says that it is the number of complete cycles of a wave passing through a point per unit time.The SI unit of the frequency is Hertz (Hz).Frequency of a sine wave as the number of complete oscillations made by any wave element per unit time.A frequency is in periodic motion, it has gone through one cycle after passing through a series of events or positions and returning to its original state.To know more about frequency, click the link given below:
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a block of mass m is launched by a spring of negligible mass along a horizontal surface of negligible friction. the spring constant of the spring is k. the spring is initially compressed a distance x0. the block is released from rest. some time after the block is released and travels in the direction shown in the figure, the spring compression is xf. which of the following mathematical calculations can a student use to determine the speed vf of the block at this new position?
The required speed Vf of the block at this new position 1/2KX²= 1/2KXf ² + 1/2Vf m².
What is kinetic energy?In physics, the kinetic energy of an object is the energy it has due to its motion. It is defined as the work required to accelerate a body of specified mass from rest to a specified velocity. After the body acquires this energy during acceleration, it retains this kinetic energy as long as the velocity does not change. The same work is done when the body slows down from its current speed to rest. Formally, kinetic energy is any term in the Lagrange of a system that includes the time derivative.
According to question:In this problem, neglecting friction force, there are two energies at work viz. Potential energy of spring and kinetic energy of spring mass system.
Initially the spring is compressed to length from the equilibrium position, therefore, initially,
Potential energy= 1/2KX²
(Because potential energy of spring= 1/2×(spring constant)×(compression)²)
At this instance system is at rest, therefore, kinetic energy=1/2mv²=0.
So total initial energy= K.E. + P.E. = 1/2KX² -(1)
Now in the 2nd instant, spring is compressed to length from equilibrium, therefore, P.E.=1/2K ²
and velocity= here,
Therefore, kinetic energy= 1/2 mv²
So total energy= 1/2K ² + 1/2 m² -(2)
From conversation of energy theorem, (1) and (2) should be equal(Neglecting friction, remember)
Therefore, the correct answer is: 1/2KX²= 1/2KXf ² + 1/2Vf m²
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