A 10-cm-long spring is attached to the ceiling. When a 2.0 kg mass is hung from it, the spring stretches to a length of 15 cm.
What is the spring constant k? Answer for this already found= 392 N/m
1) How long is the spring when a 6.0 kg mass is suspended from it?

The time taken for the wave on the string to travel from the centre of the circle of the ball is 6.5 * 10⁻⁶ s.

Given that, mass of the ball mb = 18.1 kg

Angular speed of the ball ω = 12.5 rad/s

Mass of the string ms = 0.0184 kg

Speed of the wave of the string is given by the formula,

sw = √(Ts / m')  -------(1)

where, Ts is tension in the string

m' is mass per unit length of the strength

Ts = mb * ω² * l  --------(2)

m' = ms/l ---------(3)

Substituting (2) and (3) in (1), we have

sw = √(mb * ω²* l²/ ms) ----(4)

We know that, t = l / sw -----(5)

Substituting (4) in (5), we have

t = √( ms/ mb *ω²) = √( 0.0184/(18.1 * 12.5²)) = √( 0.0184/2828.125)

= 0.0000065 = 6.5 * 10⁻⁶ s

Thus, the time taken for the wave on the string to travel from the centre of circle to the ball is 6.5 * 10⁻⁶ s.

To know more about the ball:

https://brainly.com/question/16788121

#SPJ4

Xc = (0.467 - 0.427j)R is the original capacitive reactance in terms of r.in an rlc circuit that includes a source of ac current operating at a fixed frequency and voltage, the resistance r is equal to the inductive reactance

Since the resistance in the circuit is R, the reactance of the inductor is XL and the reactance of the capacitor is XC, then the impedance of the circuit is

Z = √[R² + (XL - XC)²]

Since the inductive reactance XL equals the resistance R, we have that

Z = √[R² + (XL - XC)²]

Z = √[R² + (R - XC)²]

Thus, the current in the circuit is thus I = V/Z = V/√[R² + (R - XC)²]

Now, when the plate separation of the parallel plate capacitor is reduced to one-half its original value, the current doubles. Also, when the plate separation is reduced to half, the capacitance doubles since C ∝ 1/d where C is capacitance and d separation between the plates. Since the capacitance doubles, the new reactance XC' is twice the initial reactance XC. So, XC' = 2XC. Thus the new impedance is thus

Z' = √[R² + (R - XC')²]

Z' = √[R² + (R - 2XC)²]

The new current is I' = V/Z' = V/√[R² + (R - 2XC)²]

Since the current doubles, I' = 2I.

V/√[R² + (R - 2XC)²] = 2V/√[R² + (R - XC)²]

1/√[R² + (R - 2XC)²] = 2/√[R² + (R - XC)²]

√[R² + (R - XC)²] = 2√[R² + (R - 2XC)²]

squaring both sides, we have

[R² + (R - XC)²] = 4[R² + (R - 2XC)²]

expanding the brackets, we have

[R² + R² - 2RXC + XC²] = 4[R² + R² - 4RXC + 4XC²]

[2R² - 2RXC + XC²] = 4[2R² - 4RXC + 4XC²]

2R² - 2RXC + XC² = 8R² - 16RXC + 16XC²

collecting like terms, we have

16RXC - 2RXC + XC² - 16XC² = 8R² - 2R²

14RXC - 15XC² = 6R²

15XC² - 14RXC + 6R² = 0

Using the quadratic formula to find XC, we have

Since it is capacitive, we take the negative part.

So, Xc = (0.467 - 0.427j)R

Learn more about reactance here:

https://brainly.com/question/17129912

#SPJ4

Harlow Shapley used RR Lyrae variables.

RR Lyrae variables are periodic variable stars, normally found in globular clusters. they're used as preferred candles to degree galactic distances, supporting the cosmic distance ladder. This elegance is named after the prototype and brightest example, RR Lyrae.

RR Lyrae is a variable, horizontal branch star with periods starting from a few hours to 2 days, and optical brightnesses that commonly vary from zero. They lie within the instability strip of the Hertzsprung-Russell diagram and suffer instabilities that purpose their length to periodically trade.

Learn more about RR Lyrae variables here:-https://brainly.com/question/16948633

#SPJ4

The speed at which an Empire ship must travel for its markings to be confused with those of a Federation ship is sqrt(c^2 - 1/n^2) * c, where n is the ratio of the major axis to the minor axis of the ellipse and c is the speed of light in a vacuum.

The appearance of an object changes when it moves at a significant fraction of the speed of light due to the phenomenon of relativistic length contraction. This effect causes the length of the object to appear shorter to an observer, and also causes any features on the surface of the object to be distorted.

In the case of the Empire ship and the Federation ship, the appearance of the symbols on their hulls would be affected by relativistic length contraction. If the Empire ship is moving fast enough, its ellipse-shaped symbol may appear to an observer as a circle, similar to the symbol on the Federation ship.

To determine the speed at which this would occur, we can use the equation for relativistic length contraction: L' = L / sqrt(1 - v^2/c^2), where L' is the length of the object as observed by the observer, L is the actual length of the object, v is the speed of the object, and c is the speed of light in a vacuum.

By setting L' equal to the length of the minor axis of the ellipse (b) and L equal to the length of the major axis (a), and solving for v, we can determine the speed at which the Empire ship must travel for its markings to be confused with those of the Federation ship. This speed is given by the equation v = sqrt(c^2 - b^2/a^2) * c, where n is the ratio of the major axis to the minor axis of the ellipse and c is the speed of light in a vacuum.

To know more about relativity

https://brainly.com/question/364776

#SPJ4

The total positive charge stored on the two capacitors is;

4kQ₀/(k + 1)

We are told that the charge on each capacitor is Q₀.

Now, formula for charge stored on a capacitor is;

Q = CV

Where;

Q is charge

C is capacitance

V is voltage

Thus, total charge stored on the two capacitors will be;

Q = Q₁ + Q₂

Since Q₀ is the charge on each capacitor, then;

For Capacitor 1, we have; Q₀ = C₁V

For capacitor 2, we have; Q₀ = C₂V

Thus, let the capacitance C₁ be be half the capacitance C of two capacitors.

Thus;

C₁ = ¹/₂C

Thus;

Q₀ =  ¹/₂CV

2Q₀ = CV

Now, a dielectric with dielectric constant k > 1 is inserted between the plates of capacitor C₁. Thus, the two capacitors will now be kC and C.

Thus;

C₂ = (kC × C)/(kC + C)

C will cancel out to give;

C₂ = kC/(k + 1)

Earlier on, we saw that;

Q₀ = C₂V

Thus;

Q₀ = kCV/(k + 1)

Earlier, we saw that 2Q₀ = CV

Thus, charge is;

Q₀ = 2kQ₀/(k + 1)

Since 2 capacitors, then total positive charge stored is;

2 × 2kQ₀/(k + 1) = 4kQ₀/(k + 1)

To learn more about positive charge visit:https://brainly.com/question/2903220

#SPJ4

The Vacuum - Its Fluctuations and Decay.

Vacuum is not the problem. The reason space is almost a complete vacuum is not because it is attracted to you, but because it is almost empty.

This emptiness results in extremely low pressure. This is an approach to theoretical physics and quantum mechanics that views the underlying physical vacuum as a superfluid or Bose-Einstein condensate.

A vacuum is a space devoid of matter, or a space in which the pressure is so low that the particles in the space do not affect the processes taking place therein. This is a state well below normal atmospheric pressure and is measured in units of pressure. There is no perfect vacuum because it is impossible to remove all air or particles from space. However, partial vacuums are common.

Learn more about The Vacuum here:- https://brainly.com/question/75996

#SPJ4

If the wavelength of the ruby laser light is 694.3 nm then the width of the box is 0.795 nm .

In the question ,

it is given that ,

the wavelength (λ) is = 694.3 × 10⁻⁹ m ,

transition from n = 2 to n = 1 .

then the energy Eₙ = (h²n²/8mL²)

where "L" is the width of box ,

The transition energy is related to emitted (light) photon wavelength by

ΔE = (h²n²/8mc²L²) × (2² - 1²) = hc/λ      ....equation(1)

Rewriting for the width "L" ,

we get ,

L = √[(3hcλ)/8mc²]

Substituting the values in equation(1) ,

we get ,

L = √[(3×1.24×10³×694.3)/8×511×10³]

Simplifying further ,

we get ,

L = 0.795 × 10⁻⁹ m

= 0.795 nm .

Therefore , the  width of the box is 0.795 nm .

Learn more about Wavelength here

https://brainly.com/question/29382581

#SPJ4

According to the question, the spring will be compressed by 0.3413 m.

Springs are crucial because they provide as straightforward models for numerous complex physical processes. In physics, objects that behave like springs exhibit what has known as a simple harmonic motion (SHM), which you will encounter again. k is referred to as the spring constant.

acceleration of elevator=3 m/s²

mass of student= 80 Kg

spring constant=3 x 10³ N/m

the force on the student is given by F = m ( g +a)

F=80 (9.8+3)

F=1024 N

now the formula for spring force is given by

F= k x

1024= 3 x 10³ (x)

x=0.3413 m

To learn more about spring visit:

https://brainly.com/question/14670501

#SPJ4

The circuit has an unknown impedance z. But we do know that the source delivers an apparent power of 50va with a power factor of 0.8 lagging. The Unknown Impedance Z is 108 Ω 20/0°.

Formula of Impedance = Z= under root R2 + (Xl - Xc)2

Z = impedance

R = resistance

XL = inductive reactance

XC = capacitive reactance

After putting the values in formula we get 108 Ω 20/0°.

Impedance, which is produced in a circuit by the interaction of resistance and reactance, is the resistance to alternating current. The impedance of a two-terminal circuit element can be calculated as the ratio of the complex representation of the sinusoidal voltage between its terminals to the complex representation of the current flowing through it.  Typically, it is dependent on the frequency of sinusoidal voltage. Impedance extends the concept of resistance to alternating current (AC) circuits and has both magnitude and phase, in contrast to resistance, which only has magnitude. The idea of impedance is crucial when doing an AC analysis of electrical networks because it makes it possible to link sinusoidal voltages and currents by a simple linear law. The impedance matrix nevertheless shows a linear relationship between the complex voltages at the ports and the currents flowing through them, despite the fact that the two-terminal definition of impedance in multiple port networks is inadequate. The siemens is the SI unit for admittance, which is the inverse of impedance and was formerly known as the mho. Instruments used to measure electrical impedance are called impedance analyzers.

To know more about circuit please refer: https://brainly.com/question/12618565

#SPJ4

The plane of a loop of wire is perpendicular to a magnetic field. Rank, from greatest to least, the magnitudes of the loop's induced emf for each situation will be E - B - D - A-C.

Magnetic field strength is one of two ways that the intensity of a magnetic field can be expressed. Technically, a distinction is made between magnetic field strength H, measured in amperes per meter, and magnetic flux density B, measured in Newton-meters per ampere, also called tesla.

A current I through a long, straight wire produces a magnetic field with strength H=I/2πr at a distance r from the wire. So the field strength is inversely proportional to the distance from the wire.

The unit of magnetic field strength happens to be ampere per meter or A/m. Furthermore, the symbol of the magnetic field strength happens to be H.

Learn more about magnetic field strength here:- https://brainly.com/question/12691041

#SPJ4

a) The number of hours it takes for the satellite to make one orbit ( h ) = 1.64 hours, b) The speed of the Aura spacecraft = 7.5 Km/s.

Height of satellite Orbit ( h ) = 705 km ≈ 705000 m

a) Determine the time taken in hours for the satellite to make a single orbit

T = 2π [tex]\sqrt{ (R + h)^{2} /GM[/tex]

G = 6.67 * 1011 N-m2/kg2, M (earth's mass) = 5.98 * 1024, R = 6.38 * 106 m, and h = 705000 m

Fill in the values for T = 5933 seconds to equal 1.64 hours ( time taken to complete one orbit )

B) Calculate the spaceship Aura's speed

V =  [tex]\sqrt{GM/R + h}[/tex]

G = 6.67 * 1011 N-m2/kg2, M (earth's mass) = 5.98 * 1024, R = 6.38 * 106 m, and h = 705000 m

Fill in the values in the equation ( 2 )

V equals 7503 m/s, or 7.5 km/s.

Learn more about satellite here:

https://brainly.com/question/9266911

#SPJ4

During urination, the pressure in the bladder increases to produce the flow hence, the speed of the flow of urine is 1.19 m/s and bernoulli's equation give for the pressure in the bladder is -9092 pa.

The Bernoulli equation is concerned with the conservation of kinetic, potential, and flow energies of a fluid stream and their conversion to each other in regions of flow where net viscous forces are negligible and where other restrictive conditions apply. The energy equation is a statement of the  conservation of energy principle.

The Bernoulli equation is an approximate relation between pressure,velocity, and elevation, and is valid in regions of steady, incompressible flow where net frictional forces are negligible.

Given,

d = 8 cm = 0.08 m

Area of the tube, A = pi*d^2/4

= pi*0.08^2/4

= 0.005036 m^2

volume flow rate, dV/dt = A*v

v = (dV/dt)/A

= 0.006/0.005036

= 1.19 m/s

Now, use Bernoulli's theorem,

P_baldder + rho*g*h1 +  (1/2)*rho*v1^2 = P_atm + rho*g*h2 +  (1/2)*rho*v^2

P_baldder + rho*g*h + 0 = P_atm + 0 + (1/2)*rho*v^2

P_baldder - P_atm = (1/2)*rho*v^2 - rho*g*h

 = (1/2)*1000*1.19^2 - 1000*9.8*1

= -9092 Pa

To know more about bernoulli's equation here

https://brainly.com/question/25770720

#SPJ4

The distance in meters from the top of the pendulum is 0.9939 m and Yes the equation will beT= 2pi * sqrt ( I / mgd).

A simple pendulum consists of a mass m hanging at the end of a string of length L. The period of a pendulum or any oscillatory motion is the time required for one complete cycle, that is, the time to go back and forth once.

If the amplitude of motion of the swinging pendulum is small, then the pendulum behaves approximately as a simple harmonic oscillator, and the period T of the pendulum.

Periodic Motion is based on the concept of periodic motion. Periodic motion can be defined as any motion that repeats over and over again with the same time required for each recurrence. A period is the amount of time for the system to complete one cycle.

In this example, it is the amount of time for the energy sphere to be released and then return to its approximate release point. The frequency is the number of cycles per unit of time, i.e., how many cycles are completed in one minute.

Given,

length = 1.25 m

mass =1.23 kg

T = 2πsqrt(l/g)

2 = 2 *3.14 sqrt(l/9.8)

l = 0.9939 m

To know more about pendulum here

https://brainly.com/question/28753689

#SPJ4

A) 3.99 cm, B)-7.99 cm/s, C)-15 cm/s2, D) 4 cm, In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the following expression,

a) At t=0

x=4.00cm)cos(3t+π/6)(a)= 4*0.999 = 3.999 cm

b)Expression for velocity v = dx/dt = -8.00 Sin(3t+π/6)

At t=0 v= -8 Sin(π/6) =  -7.999 cm/s

c) Expression for acceleration a= -16 Cos(3t+ π/6)

At t=0 a= -16 Cos(π/6) = -15.99 cm/ sec2

d) Period = (2 ?)/3

  Amplitude= 4 cm

A piston is a part of a variety of comparable devices, including reciprocating engines, reciprocating pumps, gas compressors, hydraulic cylinders, and pneumatic cylinders.

Learn more about piston  here:

https://brainly.com/question/21852769

#SPJ4

The buoyancy force when measured on an object submerged in molasses instead of water the buoyancy force does not differ.

Buoyancy is the force that is applied by any fluid on the body which is submerged in it.

The buoyancy force on any body is given by the relation,

B = Vpg

Where,

V is the volume of the fluid displaced,

p is the density of the fluid,

g is the acceleration due to gravity.

If we assume that the object is floating on the surface of the fluid then the buoyancy force will be equal to the weight of the body.

So, if the buoyancy force is measured on molasses instead of water the boils force will not differ in magnitude because it will be equal to the weight of the body in both the cases.

To know more about Buoyancy, visit,

https://brainly.com/question/28464280

#SPJ4

The magnetic flux through the small loop when the current through the solenoid is 2.50 A is 5.87*10⁻⁴ Wb, the induced emf in the loop is 1.4*10⁻³r.

What is magnetic flux  ?

The number of magnetic field lines that travel through a specific closed surface is referred to as magnetic flux. It gives a measurement of the overall magnetic field that traverses a specific surface region.

What is  induced emf  ?

A magnetic field is induced when a conductor carrying an electric current travels through it. Induced electromagnetic fields (EMFs) are created when a magnetic field rotates around an electric field.

Given data

length = 0.100 m

radius = 0.50 m

N= 1.5 *10⁴

I= 2.50A

a) the field inside the solenoid  is

B= μ₀ Ni/L

B= 1.25 *10⁻⁶*1.5*10⁴*2.50/0.100

B= 0.47 Tesla

B= 0.47 W₆/m²

Area, A= πr²= (0.02)²

=0.00125m²

Magnetic flux = ∅ = B.A

= 5.87*10⁻⁴ Wb

b) induced Emf in the loop

EMf =  μ₀ (dI/dT) (N/L) πr²

EMF= 1.4*10⁻³r

Therefore, the magnetic flux through the small loop when the current through the solenoid is 2.50 A is 5.87*10⁻⁴ Wb, the induced emf in the loop is 1.4*10⁻³r.

Learn more about magnetic flux from the given link.

https://brainly.com/question/16234377

#SPJ4

Charles' law stipulates that the volume of a given amount of gas is exactly related to its temperature on the kelvin scale while the pressure is held constant.

What is nitrogen most frequently used for?

On nitrogen, the chemical industry depends. It is used to make fertilizers, dyes, nylon, nitric acid, and explosives. To make these products, nitrogen must first be coupled with hydrogen to make ammonia. For this, the Haber process is employed.

Is nitrogen bad for people?

People lose their lives every year by breathing "air" with insufficient oxygen. Many people believe nitrogen gas is safe because it makes up 78 percent of the air we breathe. However, breathing nitrogen is only safe when it is combined with the right proportion of other gases.

To know more about nitrogen visit:

https://brainly.com/question/16113371

#SPJ4

You are required to gauge a crank shaft's rotational speed. The device's level of uncertainty will be 0%.

The number of rotations a rotating system completes in a predetermined amount of time is the measure of rotational speed, also known as speed or speed of rotation. Pump speed is often expressed in min-1, while rotational speed is measured in s-1 (rev/s) (rpm).

The term "angular velocity" or "rotational velocity" ( or ), also known as "angular frequency vector," refers to a pseudovector that expresses how quickly an item spins or circles in relation to a point or axis or changes its angular location or orientation over time.

The velocity meter's resolution = 2 rpm.

accuracy = 1.5%.

40 rpm = 1.5%.

The speed can change at 40 rpm = 39.7 to 40.3 rpm.

The device's resolution = 2 rpm.

uncertainty = 0%.

To know more about rotational speed visit:

https://brainly.com/question/17025846

#SPJ4

The speed of the ball at the bottom of the circle when ball of mass m, at one end of a string of length L, rotates in a vertical circle is √Lg

The rate at which an object's distance traveled changes is measured by its speed. In terms of measurement, speed is a scalar, meaning it has magnitude but no direction. Speed is the rate at which an object moves over a given distance. a thing that travels at a high rate of speed and covers a lot of distance quickly. A slow-moving object, on the other hand, travels a comparatively short distance in the same amount of time when moving at a low speed. An object with zero speed is completely immobile.

To know more about  speed visit : brainly.com/question/93357

#SPJ4

Greenhouse gases are gases that are present in the Earth's atmosphere and trap heat from the Sun, preventing it from radiating back out into space. Human activities that release greenhouse gases into the atmosphere can contribute to global warming. Two examples of such activities are:

Overall, human activities that release greenhouse gases into the atmosphere are a major cause of global warming. These activities can have serious consequences for the Earth's climate and can impact many aspects of human life.

The  combinations of the rocket mass Mrocket and force from its thrusters FThrusters would result in an upward acceleration of 2 m/s2  are

A. Mrocket 1 kg, FThrusters 12 N

C. Mrocket 3 kg, FThrusters 6 N

Using Newton's Second Law, F = ma, we can determine the force needed to accelerate a rocket at a given rate. Since the mass of the rocket is given, we can calculate the force by rearranging the equation to F = m*a, where m is the mass and a is the acceleration. Therefore, for a mass of 1 kg, the force needed to achieve an acceleration of 2 m/s2 is 12 N. Similarly, for a mass of 3 kg, the force needed to achieve an acceleration of 2 m/s2 is 6 N.

To know more about rocket mass refer to the link brainly.com/question/17217026

#SPJ4

The absolute significance of a star is 10 parsecs distance , M is the significance the big name could have if it become located at a distance of 10 parsecs from Earth.

By thinking about stars at a set distance, astronomers can evaluate the real (intrinsic) brightnesses of various stars.Apparent significance is the brightness of a celebrity because it seems to the observer. This is what stargazers look at after they study the sky and spot that a few stars are brighter than others. Absolute significance is the brightness of a celebrity from a distance of 10 parsecs away. A parsec is same to 32.6 light-years.

Astronomers outline big name brightness in phrases of obvious significance — how shiny the big name seems from Earth — and absolute significance — how shiny the big name seems at a popular distance of 32.6 light-years, or 10 parsecs.

Read more about magnitude:

https://brainly.com/question/24256733

#SPJ4

The maximum constant speed at which the elevator with a mass 1500 Kg can be lifted is 0.12 m/s.

To determine the maximum constant speed at which an elevator can be lifted, we need to consider the power available from the lifting device, in this case an electric motor, and the mass of the elevator and its occupants. The power available from the motor is given as 18 kW, and the mass of the elevator and its occupants is given as 1500 kg.

The speed of an object being lifted is directly related to the power available from the lifting device and the mass of the object being lifted. The relationship between these variables is given by the equation Power = mass * acceleration * velocity. By rearranging this equation to solve for velocity, we can determine the maximum constant speed at which the elevator can be lifted.

In this case, the acceleration of the elevator is equal to the acceleration due to gravity, which is 9.81 m/s^2. Plugging in the values for the power, mass, and acceleration, we get a maximum constant speed of 0.12 m/s for the elevator. This means that the elevator can be lifted at a constant speed of 0.12 m/s, given the power available from the electric motor and the mass of the elevator and its occupants.

To know more about Acceleration

https://brainly.com/question/2303856

#SPJ4

In one-third of all collisions between motorbikes and cars, the car driver claims he simply did not notice the motorcycle. when both the suspect and officer automobiles were totaled as a result.

Of pit maneuvers performed by professional officers. A police car is usually fortified for this and is heavy. It's likely that a light vehicle attempting a pit maneuver will sustain significant damage. If a novice tried this, they would probably get it incorrect and make a worse hazard. Officers and bystanders may potentially suffer damage as a result. The police are unsure of your intentions—whether you're trying to assist them for collisions, the suspect, or a different criminal who wants to hurt him or her. You'll be charged with several crimes due to speed, including obstruction and assault with a deadly weapon, for this action.

Learn more about collisions here

https://brainly.com/question/12941951

#SPJ4

When an object's internal energy is:... really when its temperature is higher than that of its surroundings, it will typically be a net radiator of energy.

From one thing to another, heat energy can be exchanged. Heat is the flow or transfer that occurs as a result of the temperature differential between two objects.

Heat is a means of transferring energy to and from molecules. Atoms and molecules accumulate thermal energy as the temperature rises, which leads them to move faster and further apart. When the temperature drops, atoms.

To know more about radiator visit:-

https://brainly.com/question/13934832

#SPJ4

The value of the Hubble constant, denoted H0, represents the expansion rate of the universe. It is defined as the ratio of the speed at which a galaxy is receding from an observer to its distance from the observer. In a universe with no dark energy and composed of pressureless matter, the expansion rate is determined by the density of matter in the universe.

If the Hubble constant is equal to 70 km/s/Mpc, this implies that the expansion rate of the universe is 70 km/s per megaparsec of distance. It does not directly provide information about the curvature of the universe, as the curvature depends on the amount and distribution of matter and energy in the universe, as well as the expansion rate. To determine the curvature of the universe, you would need to know the density of matter in the universe and the expansion rate. If the density of matter in the universe is high enough, the expansion rate will be slowed down and the universe will be closed and have positive curvature. If the density of matter in the universe is low enough, the expansion rate will be accelerated and the universe will be open and have negative curvature. If the density of matter in the universe is just right, the expansion rate will remain constant and the universe will be flat. Without knowing the density of matter in the universe, it is not possible to determine the curvature of the universe based on the value of the Hubble constant alone.

To know more about universe-

https://brainly.com/question/9724831

#SPJ4

The option (d) is correct-This is because, the rod in D has same length as the vibrating rod (unlabeled) so its more likely to get in resonance with that that's why it oscillates more vigorously.

What is oscillates  ?

In a complex mixture of chemical compounds that are reacting, a chemical oscillator is one in which the concentration of one or more components changes on a regular basis.

What is vibrating rod ?

A trustworthy point level sensor for high and low level indication or plugged chute detection is a vibrating rod, also known as a vibrating level switch. Bulk densities of as little as 1.25 lb/ft3 can be used for their use in light, fluffy powders and flakes.

Therefore, option (d) is correct-This is because, the rod in D has same length as the vibrating rod (unlabeled) so its more likely to get in resonance with that that's why it oscillates more vigorously.

Learn more about oscillation from the given link.

https://brainly.com/question/15169199

#SPJ1

Using Snell's Law we got the distance from the edge to be 4.678 m.

Snell's law (also known as Snell–Descartes law and the law of refraction) is a formula used to describe the relationship between the angles of incidence and refraction, when referring to light or other waves passing through a boundary between two different isotropic media, such as water, glass, or air.

Snell's law is used for refraction of light

It is a formula used to describe the relationship between the angles of incidence and refraction, when referring to light or other waves passing through a boundary between two different isotropic media.

From Snell's Law,

n₁ sin i  = n₂ sin r

1 * [1.6 /√(1.6² + 1.1²)] = 1.33 * [P / √(P² + 3.9²)]

P² = 0.3838P² + 0.3838(3.9)²

P = 3.078 m

Now, with the solution of Snell's Law, we can easily find the distance from the edge.

Distance from the edge = (1.6 + 3.078) = 4.678 m

Therefore, using Snell's Law we got the distance from the edge to be 4.678 m.

To know more about Snell's Law, refer: https://brainly.com/question/10112549

#SPJ4

Number of moles of air that leave the house during the daytime is 1154.017 moles.

The pressures are constant so:

V₁/T₁ = V₂/T₂

Given,

During the night, V₁ = 900 m³, and T1₁= 288K.  

During the day, T₂ = 297K, and V₂ =?

V₂ = V₁*T₂/T₁ = 900*297/288 = 928.125 m³

928.125 - 900 = 28.125 m³

Volume of air that leave the house during the daytime = Vₐ

V₂/T₂ = Vₐ/Tₐ

Vₐ = V₂*Tₐ/T₂ = 28.125*273/297 = 25.85 m³

To calculate the number of moles,

22.24 liters per mole, and 1000 liters per m³, so

number of moles = N

N = 25.85*1000/22.4

N = 1154.017 moles.

Therefore, number of moles of air that leave the house during the daytime is 1154.017 moles.

To know more about moles, refer: https://brainly.com/question/26416088

#SPJ4

Expression for the potential energy is (3/4)x⁴ - 2x² + x.

Potential energy is the energy possessed by the system when it is in rest.

If the potential energy function U(x) is known, then the force F(x) at any position can be obtained by the derivative of the potential.

F(x) = - dU/dx

dU = - F(x).dx

U = [tex]\int\{F(x)} \, dx[/tex]

U = [tex]\int[/tex](1 - 4x + 4x³) .dx

U = (3/4)x⁴ - 2x² + x

Plotting F(x) between x=-2 to x=+2,

F(x) = (1 - 4x + 4x³)

for x=-2, F(-2) = F{1 - 4(-2) + 4(-2)³}

F(-2) = {1 + 8 - 32}

F(-2) = (-23)

for x=+2, F(-2) = F{1 - 4(2) + 4(2)³}

F(2) = {1 - 8 + 32}

F(2) = 25

Plotting U(x) between x=-2 to x=+2

U(x) = (3/4)x⁴ - 2x² + x

for x=-2, U(-2) = {(3/4)(-2)⁴ - 2(-2)² + (-2)}

U(-2) = {(4*3) - (2*4) - 2}

U(-2) = 12 - 8 - 2  

U(-2) = 2

for x=2, U(2) = {(3/4)(2)⁴ - 2(2)² + (2)}

U(2) = {(4*3) - (2*4) + 2}

U(2) = {12 - 8 + 2}

U(2) = 6

For equilibrium points, force must be equal to zero,

F(x) = 0

(1 - 4x + 4x³) = 0

x1 = -1.10716

x2 = 0.26959

x3 = 0.83757

Equilibrium points exists at points x1, x2, x3.

To know more about potential energy,

https://brainly.com/question/12908864

#SPJ4