What is the inductance of a coil if the coil produces an emf of 2.50 v when the current in it changes from -28.0 mA to 25.0 mA in 12.0 ms? express your answer using 3 significant figures.

Answers

Answer 1

Answer:

≈ 0,566 H

Explanation:

First, let's find how much the current has changed:

∆I = I2 - I1 = 25 - (-28) = 53 mA = 0,053 A

Given:

∆t = 12 ms = 0,012 s

E = 2,50 V

Find: L - ?

\(e = | - l \times \frac{∆i}{∆t} | \)

\(l = | - \frac{e \times ∆t}{∆i} | = | - \frac{2.5 \times 0.012}{0.053} | ≈ 0.566\)


Related Questions

A student holding a 324Hz tuning fork approaches a wall at a speed of 6ms^(-1). The speed of sound in air is 336ms^(-1). What frequency will the student detect from waves omitted from the fork and waves coming from the wall?​

Answers

The frequency the student detect from waves omitted from the fork and waves coming from the wall is 348.1 Hz.

Frequency detected by the student

The observed frequency is determined by applying Doppler effect;

f' = f₀(v + v₀)/(v)

where;

f' is the observed frequencyv is speed of soundv₀ is the source speedf₀ is the original frequency

f' = 342(6 + 336)/(336)

f' = 348.1 Hz

Thus, the frequency the student detect from waves omitted from the fork and waves coming from the wall is 348.1 Hz.

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How did the projected storm track change from image A TO B TO C TO D

How did the projected storm track change from image A TO B TO C TO D

Answers

Link provided in other answer is a SCAM, don’t click on the link !!!!

A janitor is pushing an 17-kg trashcan across a level floor at constant speed. The coefficient of friction between can and floor is 0.16. a) if the janitor is pushing horizontally, what is the magnitude of the force he exerts on the can? b) If he pushes at an angle of 30∘ down from the horizontal, what must the magnitude of his pushing force be to keep the can moving at constant speed?

Answers

Answer:

a) >26.7 N

b)  >13.3 N

Explanation:

a)  Fg = (17 kg)(9.8 m/s²) = 166.6 N

Fnormal = Fg = 166.6 N

Ff = μFn = 0.16(166.6 N) = 26.7 N

Janitor needs to push >26.7 N to overcome the Force of friction (Ff) on a horizontal floor.

b)  You have to determine Fn on the object by figuring out the y-component of Fg.

Fn/Fg = sin30

Fn = sin30(166.6 N) = 83.3 N

Now you can find Ff.

Ff = μFn = 0.16(83.3 N) = 13.3 N

Janitor needs to push >13.3 N down the incline to overcome Ff

Makes sense that he has to push less down an incline.


\(hello \: \)
\(good \: evening\)
\(what \: is \: acceleration\)
Have a great day. ​

Answers

Answer:

acceleration, rate at which velocity changes with time, in terms of both speed and direction. A point or an object moving in a straight line is accelerated if it speeds up or slows down. Motion on a circle is accelerated even if the speed is constant, because the direction is continually changing. For all other kinds of motion, both effects contribute to the acceleration.

Because acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is also a vector quantity. Acceleration is defined as the change in the velocity vector in a time interval, divided by the time interval. Instantaneous acceleration (at a precise moment and location) is given by the limit of the ratio of the change in velocity during a given time interval to the time interval as the time interval goes to zero (see analysis: Instantaneous rates of change). For example, if velocity is expressed in metres per second, acceleration will be expressed in metres per second per second.

Explanation:

Group B[1] 12 State Huygens's Principle [2] b) In a Young's double slit experiment, the fringe width obtained is 0.6 cm. When light of wave length 4500 Aº is used if the distance between the screen and the slit is reduced in half, what should be the wavelength of light used to obtain fingers 0.0045 m wide? [3]​

Answers

The wavelength of light that should be used to obtain fringes that are 0.0045 m wide after reducing the distance between the screen and the slit by half is 2.25 * 10^7 Å.

Huygens's Principle states that every point on a wavefront can be considered as a source of secondary spherical wavelets that spread out in all directions with the same speed as the original wave. The new wavefront is formed by the envelope of these secondary wavelets at a later time.

Now, let's consider a Young's double-slit experiment. In this experiment, when light passes through two narrow slits, it creates an interference pattern on a screen behind the slits. The fringe width is the distance between two consecutive bright or dark fringes in the pattern.

Given that the fringe width obtained is 0.6 cm and the wavelength of light used is 4500 Å (Angstroms), we can calculate the wavelength of light required to obtain fringes that are 0.0045 m wide.

We can use the formula for fringe width in Young's double-slit experiment:

w = (λ * D) / d

Where:

w is the fringe width,

λ is the wavelength of light,

D is the distance between the screen and the double slits, and

d is the distance between the two slits.

Let's calculate the value of D/d using the given information:

D/d = w / λ

= 0.006 m / 4500 Å (1 m = 10^10 Å)

= 0.006 * 10^10 / 4500 m^-1

Now, if the distance between the screen and the slit is reduced by half, the new value of D/d would be:

(D'/d) = (0.006/2) * 10^10 / 4500 m^-1

Now, we can rearrange the equation to solve for the new wavelength (λ'):

(λ' * D') / d = (D/d)

λ' = (D/d) * d / D

= [(0.006/2) * 10^10 / 4500] * (4500 / 0.006) Å

= 0.0045 m * 10^10 / 2 Å

= \(0.00225 * 10^{10\) Å

=\(2.25 * 10^7\)Å

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a 5.0 kg cannonball is fired from a stationary cannon with a horizontal velocity of 550 m/s if the cannon recoil in the opposite direct with a speed of 1.3 m/s whats the mass of the cannon.

Answers

The mass of a cannon if a 5.0 kg cannonball is fired from a stationary cannon with a horizontal velocity of 550 m/s if the cannon recoil in the opposite direction with a speed of 1.3 m/s is 2115.4 kg.

What is velocity?

When anything is moving, its velocity tells us how rapidly that something's location is changing from a certain vantage point and as measured by a particular unit of time.

If a point moves along a path and covers a certain distance in a predetermined amount of time, its average speed over that period of time is equal to the distance covered divided by the travel time. A train traveling 100 kilometers in two hours, for instance, is doing it at an average speed of 50 km/h.

Given:

The mass of the cannonball, m = 5 kg,

The velocity of the cannon, v = 550 m/s,

The recoil speed of the cannon, vₐ = 1.3 m / s,

Then by using momentum conservation calculate the mass of the cannon,

\(m \times v = m_{a} \times v_{a}\)

Here mₐ is the mass of the cannon,

Substitute the values,

5 × 550 = mₐ × 1.3

mₐ = 2115.4 kg

Therefore, the mass of a cannon if a 5.0 kg cannonball is fired from a stationary cannon with a horizontal velocity of 550 m/s if the cannon recoil in the opposite direction with a speed of 1.3 m/s is 2115.4 kg.

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BRAINLIEST, PLEASE pls pls pls pls pls pls pls pls pls pls pls plsl plsssssssssssssssssssssssssssssssssssssssssssssssssssssssss

BRAINLIEST, PLEASE pls pls pls pls pls pls pls pls pls pls pls plsl plsssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

A. 1.

B. 5.

C. 3.

D. 4.

E. 6.

F. 4.

Explanation:

Your car gets a flat! You go from 90 kilometers per hour to a stop in 6 seconds. What is your rate of deceleration? (it's negative!) I need this asap help

Answers

Answer:

at a rate of deceleration of -15 kilometers per second

Explanation:

90/6=15

The rate of deceleration when a car goes from 90km/h to 0 in 6 seconds is 4.16m/s².

HOW TO CALCULATE DECELERATION?

The rate of deceleration can be calculated by using the following formula:

d = v - u/t

Where;

d = deceleration (m/s²)v = final velocity = 90km/h = 25m/su = initial velocity = 0km/h = 0t = time (s)

d = 25 - 0/6

d = 4.16m/s²

Therefore, the rate of deceleration when a car goes from 90km/h to 0 in 6 seconds is 4.16m/s².

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When a wave has λ=3 m and f=15 Hz, what is the speed of the wave?

Answers

Wave speed = (wavelength) x (frequency)

Wave speed = (3 m) x (15 Hz)

Wave speed = 45 m/s

PLZ help asap :-/
............................ ​

PLZ help asap :-/............................

Answers

Explanation:

[16]

\(\underline{\boxed{\large{\bf{Option \; A!! }}}} \)

Here,

\(\rm { R_1} \) = 2Ω\(\rm { R_2} \) = 2Ω\(\rm { R_3} \) = 2Ω\(\rm { R_4} \) = 2Ω

We have to find the equivalent resistance of the circuit.

Here, \(\rm { R_1} \) and \(\rm { R_2} \) are connected in series, so their combined resistance will be given by,

\(\longrightarrow \rm { R_{(1,2)} = R_1 + R_2} \\ \)

\(\longrightarrow \rm { R_{(1,2)} = (2 + 2) \; Omega} \\ \)

\(\longrightarrow \rm { R_{(1,2)} = 4 \; Omega} \\ \)

Now, the combined resistance of \(\rm { R_1} \) and \(\rm { R_2} \) is connected in parallel combination with \(\rm { R_3} \), so their combined resistance will be given by,

\(\longrightarrow \rm {\dfrac{1}{ R_{(1,2,3)}} = \dfrac{1}{R_{(1,2)}} + \dfrac{1}{R_3} } \\ \)

\(\longrightarrow \rm {\dfrac{1}{ R_{(1,2,3)}} = \Bigg ( \dfrac{1}{4} + \dfrac{1}{2} \Bigg ) \;\Omega} \\ \)

\(\longrightarrow \rm {\dfrac{1}{ R_{(1,2,3)}} = \Bigg ( \dfrac{1 + 2}{4} \Bigg ) \;\Omega} \\ \)

\(\longrightarrow \rm {\dfrac{1}{ R_{(1,2,3)}} = \Bigg ( \dfrac{3}{4} \Bigg ) \;\Omega} \\ \)

Reciprocating both sides,

\(\longrightarrow \rm {R_{(1,2,3)}= \dfrac{4}{3} \;\Omega} \\ \)

Now, the combined resistance of \(\rm { R_1} \), \(\rm { R_2} \) and \(\rm { R_3} \) is connected in series combination with \(\rm { R_4} \). So, equivalent resistance will be given by,

\(\longrightarrow \rm {R_{(1,2,3,4)}= R_{(1,2,3)} + R_4} \\ \)

\(\longrightarrow \rm {R_{(1,2,3,4)}= \Bigg ( \dfrac{4}{3} + 2 \Bigg ) \; \Omega} \\ \)

\(\longrightarrow \rm {R_{(1,2,3,4)}= \Bigg ( \dfrac{4 + 6}{3} \Bigg ) \; \Omega} \\ \)

\(\longrightarrow \rm {R_{(1,2,3,4)}= \Bigg ( \dfrac{10}{3} \Bigg ) \; \Omega} \\ \)

\(\longrightarrow \bf {R_{(1,2,3,4)}= 3.33 \; \Omega} \\ \)

Henceforth, Option A is correct.

_________________________________

[17]

\(\underline{\boxed{\large{\bf{Option \; B!! }}}} \)

Here, we have to find the amount of flow of current in the circuit. By using ohm's law,

\( \longrightarrow \) V = IR

\( \longrightarrow \) 3 = I × 3.33

\( \longrightarrow \) 3 ÷ 3.33 = I

\( \longrightarrow \) 0.90 Ampere = I

Henceforth, Option B is correct.

____________________________

\( \tt \purple{Hope \; it \; helps \; you, Army! \heartsuit } \\ \)

PLZ help asap :-/............................


Find the speed of a wave with a frequency of 18 Hz and a wavelength of 6 meters. Show work. WILL MARK BRAINLIEST IF CORRECT

Answers

Answer:

so i would say 11.4 i dont have work only this link

Explanation:

https://flexbooks.ck12.org/cbook/ck-12-physics-flexbook-2.0/section/11.4/primary/lesson/wave-speed-ms-ps

Explain the difference between an element and a compound. Give an example of each in your discussion.​

Answers

Elements are pure substances made up of only one type of atom, while compounds are substances made up of two or more different elements that are chemically bonded together.

The difference between an element and a compound

An element is a pure substance that consists of only one type of atom. Each element has a unique atomic structure and characteristic properties, such as melting point, boiling point, and reactivity. Elements are organized in the periodic table based on their atomic number, which represents the number of protons in the nucleus of an atom.

An example of an element is oxygen (O), which is a gas that makes up about 21% of the Earth's atmosphere. Oxygen is a diatomic element, which means it exists as two atoms that are chemically bonded together. Oxygen has the atomic number 8, which means it has 8 protons in its nucleus.

On the other hand, a compound is a substance that is composed of two or more different elements that are chemically bonded together. The atoms in a compound are held together by chemical bonds, such as covalent or ionic bonds, which give the compound its unique properties

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Lauren walks 100m in half a minute. What must her speed have been to travel this distance?

Answers

Answer:

3.33 m/s

Explanation:

Using the formula: s = d / t (where s is speed, d is distance, and t is time)

[Convert minutes to seconds then solve]

Half a minute is 30 seconds. Therefore:

s = 100 / 30 = 3.33 m/s

A ball is moving up a hill at 20 meters per second, and is decelerating at a uniform rate of 2 meters per second squared. What is its velocity after 5 seconds? Assume the direction up the hill is positive.

Answers

Answer:

-12meters per second

Explanation:

2^5=32-20=-12 meters per sec (going backwards).

If this is correct pls mark me. brainly to let me know, tyy C:

Why was the discovery and explanation of the photoelectric effect so important in thehistory of physics? [The photoelectric effect provided a key piece of evidence that lightwas transmitted in discrete packets of energy, or quanta.]

Answers

The photoelectric effect is so important since it showed that energy was transfered in discrete packets of energy [Proving that light has a particle-like behavior] and that energy can be transfered by ligth. It allowed the development of modern computation and electronics as well as allowing the creating and use of the photoelectric effect to draw power from solar radiation and more.

The evidence is that under experimentation [thing that cannot be replicated by simply using words] the voltimeter [Not any ordinary voltimeter, a very sensitive one] connected to the metal surface was able to detect a sligth increment of voltage when the metal surface was hit by light. Meaning that when light impacted the atoms that composed the structure of the metal surface some electrons were detatched from the atoms and generated a flow of current, inducing a electric charge.

Vehicle collide with fixed object

Answers

hope it helps please brainliest

Vehicle collide with fixed object

If a lightbulb uses 65 W of electricity, but only uses 45 W to become light energy and uses 20 W as heat energy, how efficient m is the light bulb?

Answers

Answer:

Explanation:

the 40-watt bulb is going to require less energy to power.

in a car lift in a service station, compressed air exerts a force on a small piston that has a circular cross section of radius 5.00cm. This pressure is transmitted by a liquid to a piston that has a radius of 15.0 cm. (b) What air pressure will produce a force of that magnitude?

Answers

The air pressure that will produce a force of the given magnitude is 135 times the pressure transmitted by the liquid. The value of P2, the pressure transmitted by the liquid, is not given in the problem, so we cannot determine the exact value of P1.

How is atmospheric pressure produced?

The planet's gravitational pull on the gases above its surface produces atmospheric pressure, which depends on the planet's mass, the radius of its surface, the quantity, makeup, and vertical distribution of the gases in the atmosphere.

The following equations describe the force that compressed air exerts on a tiny piston:

F1 = P1 * A1

The larger piston, which has a larger area A2, receives the power via the liquid. The larger piston's power is determined by:

F2 = P2 * A2

Pascal's rule states that the larger piston receives the same amount of pressure P1 as the smaller piston, so we have:

P1 = P2

Since the forces F1 and F2 are equal, we have:

F1 = F2

Therefore:

P1 * A1 = P2 * A2

P1 * (pi * (5.00 cm)²) = P2 * (pi * (15.0 cm)²)

Simplifying and solving for P1, we get:

P1 = (P2 * A2 * (5.00 cm)²)/ (A1 * (15.0 cm)²)

Substituting A1 = pi * (5.00 cm)² and A2 = pi * (15.0 cm)², we get:

P1 = (P2 * 15.0²) / 5.00²

P1 = 135 * P2.

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determine the total current on the circuit bellow

determine the total current on the circuit bellow

Answers

Answer:

  170/179 A ≈ 949.7 mA

Explanation:

Finding equivalent impedance of a bridge network can be simplified by converting one end of it from a Δ to a Y configuration. The equivalent resistance in the Y connection is the product of the two resistors connected to that node, divided by the sum of all three resistors.

Considering the left side of the top two branches, the equivalent Y network values are ...

  (10)(15)/(10+15+25) = 150/50 = 3 . . . ohms

connected to the right-end node

  (25)(10)/50 = 5 . . . ohms

connected to the top-center node, and ...

  (25)(15)/50 = 7.5 . . . ohms

connected to the center node of the middle branch.

__

Then the top two branches of this circuit have an equivalent impedance equal to 3 ohms in series with the parallel combination of (5+20) ohms and (7.5+10) ohms. That value is ...

  3 + (25)(17.5)/(25 +17.5) = 226/27 ≈ 13.294 . . . ohms

This, in turn, is in series with the 2.5 ohms in the bottom branch, bringing the total circuit resistance to about 15.794 ohms, or 537/34 ohms.

The total source current is then ...

  I = V/R = (15 v)/(537/34 Ω) = 170/179 A ≈ 0.9497 A

_____

Alternate solutions

Alternatively, you can write and solve three node or loop equations for this circuit. For example, the equations for CCW loop currents, with I1 as the bottom loop, could be written in augmented matrix form as ...

  \(\left[\begin{array}{ccc|c}27.5&-10&-15&-15\\-10&55&-25&0\\-15&-25&50&0\end{array}\right]\)

The result is the same.

determine the total current on the circuit bellow

in which of the following types of circuits can the total power of the circuit be determined by adding the power dissipation of all the parts of the circuit?

Answers

In an equal circuit, all parts are associated across one another, subsequent in precisely two arrangements of electrically normal places.

The complete power in a series circuit is equivalent to the amount of power disseminated by the individual resistors.

The complete power disseminated will be equivalent to the amount of the power dispersed by every individual obstruction. Contingent upon the qualities that are known, blends of the power equation, also as Ohm's regulation, can be utilized to work out power disseminated (or some other obscure worth).

An equal circuit disseminates more power than a series circuit. For similar arrangements of resistors, the complete obstruction of the equal circuit is consistently lower than the all-out opposition in a series circuit.

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Olivia is rolling down a hill on a skateboard and is accelerating at 2.4 m/s2. After 3 seconds, she runs into Reid at the bottom of the hill. If her initial velocity was 1.5 m/s, what was her velocity when she hit Reid?

Answers

did you ever get the answer?

Answer:

8.7

Explanation:

A=2.4m/s2                        1.5m/s + (2.4m/s2)(3s)

Vi=1.5m/s                               1.5m/s + 7.2

Vf=?                                           Vf= 8.7m/s

T=3s

Thermal expansion of a gas causes a change in the ____ of the gas.

A. Radioactiveness
B. Density
C. Mass
D. Altitude

Answers

Answer:

B. Density

Explanation:

Thermal expansion of a gas will cause a definite change in the density of the gas.

It is product of an increase in the average kinetic energy of the system in which molecules are found.

Gaseous thermal expansion will increase the volume in which gases occupy. Mass of the gas will still remain the same. Since density is the mass per unit volume, as the gases expand, their density reduces more and more.

Therefore, thermal expansion of gas will cause a change in the density of the gas.

4.2 Determine the reactions of the loads L and R. ↓ 5m
↓ 7 kN 6m 3 kN 4m R (8)​

Answers

The reaction of load L is 0 (no horizontal force), and the reaction of load R is 10 kN (vertical upward force).

How to find reaction?

To determine the reactions of the loads L and R, consider the equilibrium of the forces acting on the structure.

First, analyze the vertical equilibrium. The sum of the vertical forces must be zero:

ΣFy = R − 7 kN − 3 kN

ΣFy = 0

This gives:

R = 10kN

Next, analyze the horizontal equilibrium. The sum of the horizontal forces must be zero:

ΣFx = L

ΣFx = 0

This indicates that there is no horizontal force acting on the structure.

Therefore, the reaction of load L is zero (no horizontal force), and the reaction of load R is 10 kN (vertical upward force).

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A car manufacturer wants to change its car's design to increase the car's acceleration. Which changes should the
engineers consider making to the design?
O increase the force that the engine provides
O decrease the force that the engine provides
O increase the mass of the car
O decrease the mass of the car
O increase the top velocity the car can travel
decrease the top velocity the car can travel

Answers

To increase a car's acceleration, the engineers should consider decreasing the car's mass and/or increasing the force that the engine provides. Therefore, options A and D are the correct answers.

Acceleration is directly proportional to the net force acting on an object and inversely proportional to its mass. This means that a smaller mass or a larger force will result in a greater acceleration. Therefore, reducing the mass of the car will require less force to achieve the same acceleration, or the same force will result in a greater acceleration.

To decrease the mass of the car, the engineers could consider using lighter materials for the car's body and frame or removing unnecessary components. On the other hand, to increase the force that the engine provides, the engineers could consider upgrading the engine or increasing the fuel intake.

Option B, which suggests decreasing the force that the engine provides, would have the opposite effect and result in a slower acceleration. Option C, which suggests increasing the mass of the car, would also have the opposite effect and require more force to achieve the same acceleration.

Option E, which suggests increasing the top velocity the car can travel, is not directly related to acceleration. Top velocity refers to the maximum speed that a car can reach, whereas acceleration refers to the rate of change of velocity. While increasing the car's top velocity may indirectly affect acceleration, it is not a direct solution to increasing acceleration.

Option A and D.

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Which law of thermodynamics does each of the following scenarios violate (if any)?
A machine that can turn 1000J of heat directly into 1000J of electricity
1.
The first law of thermodynamics
2.
The second law of thermodynamics
3.
The third law of thermodynamics
4.
It is allowed

Answers

Answer: The scenario violates the second law of thermodynamics.

Explanation: The second law states that heat cannot be converted into work without some loss of usable energy, and that the amount of usable energy in a closed system will always decrease over time. Therefore, the machine described in the scenario cannot exist because it would violate the second law by converting all of the heat into electricity without any loss of usable energy.

Hi please answer the question labeled d

If Q1 is 5 times larger than Q2 the force that Q1 exerts on Q2 is?
(greater than, smaller than, or exactly the same as) the force that Q2 exerts on Q1.

Hi please answer the question labeled dIf Q1 is 5 times larger than Q2 the force that Q1 exerts on Q2

Answers

part a) If Q increases by 5 times its original value, the electrostatic force (F) will increase5 times as well.

part b) If r is halved (reduced by 2), the force will become four times stronger (since 2² = 4).

part c) If Q1 is positive and Q2 is negative, the charges will attract each other.

part d) If the force that Q1 exerts on Q2 is 5 times larger than the force that Q2 exerts on Q1 is same.

What is electrostatic force?

The electrostatic force is described as the force of attraction or repulsion between two charged particles.

With regards to Coulomb's Law, we have that the electrostatic force between two charges separated by a distance is :

Force = k * (Q1 * Q2) / r²

Where:

F_ =  electrostatic force

k = electrostatic constant

Q1 and Q2 =  magnitudes of the charges

r = distance

for case a:

If one of the charges, Q1 or Q2, increases by 5 times then the electrostatic force  will also increase by 5 times.

case b)

If the distance between the charges, r, is halved, the electrostatic force   will become four times stronger because (1/r²).

for case c.

if Q1 is positive and Q2 is negative, the charges will attract each other because of magnetic laws.

for case d.)

If the force that Q1 exerts on Q2 is 5 times larger than the force that Q2 exerts on Q1 is same as there is a resulting stronger gravitational or electromagnetic force.

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You make a guitar body from a cigar box that can vibrate with an oscillation frequency of 300 Hz and has a damping timr of 0.005 seconds. The guitar had a string on it that is tuned to C2 = 66 Hz.

(a) Draw the resonance curve of the cigar box.

(b) Draw the Fourier spectra of the string if plucked close to one end, without considering the role of the cogar box.

(c) Now draw what the Fourier spectra of the string will look like if it is attached to the cigar box, which amplifies certain frequencies more than others. Assume the string is plucked close to one end.

Answers

(a) The resonance curve of cigar box would be a plot of  vibration amplitude versus frequency; (b) The Fourier spectra of string without considering role of cigar box would show the various harmonic frequencies ; (c) The Fourier spectra of string will show stronger peak at  resonant frequency of cigar box (300 Hz).

What is resonance curve?

Resonance curve is the curve whose abscissas are frequencies lying near to and on both sides of natural frequency of vibrating system and whose ordinates are corresponding amplitudes of near-resonant vibrations.

(a) The resonance curve of cigar box would be a plot of the vibration amplitude versus frequency. It would show that cigar box has resonant frequency of 300 Hz, which means that it will vibrate more easily at this frequency than at others.

(b) The Fourier spectra of the string without considering the role of the cigar box would show the various harmonic frequencies that the string can produce when plucked. It would be a series of peaks at integer multiples of fundamental frequency (C2 = 66 Hz), with decreasing amplitude as frequency increases.

(c) When the string is attached to cigar box, resonance curve of the cigar box will affect the frequencies that are amplified more than others. The Fourier spectra of string will show a stronger peak at the resonant frequency of the cigar box (300 Hz), and possibly some harmonics that are also amplified by the cigar box. The amplitudes of other harmonics may be reduced due to damping, so the overall spectra will be modified by resonant properties of cigar box.

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Five ramps lead from the ground to the second floor of a workshop, as sketched below. All five ramps have the same height; ramps B, C, D and E have the same length; ramp A is longer than the other four. You need to push a heavy cart up to the second floor and you may choose any one of the five ramps.Assuming no frictional forces on the cart, which ramp would require you to do the least work?

Answers

The mechanical advantage of ramp A is greater than others and it will require the least force to move the load to greater distance.

Let the height of the ramp = hLet the length of ramp B, C, D and E = LLet the length of the ramp A = 2L

The mechanical advantage of the ramp is calculated as follows;

\(M.A = \frac{L}{h}\)

The mechanical advantage of the ramp B, C, D and E is calculated as;

\(M.A = \frac{L}{h} \\\\\)

The mechanical advantage of the ramp A is calculated as follows;

\(M.A = \frac{2L}{h} \\\\M.A = 2(\frac{L}{h} )\)

Since the length of the ramp A is greater than other ramps, the mechanical advantage will be greater and it will require the least force to move the load to greater distance.

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An experiment is performed in which a force is applied to two objects (A and B) and the resulting acceleration is measured. The
graph below summarizes the results. Answer the following questions:

a. What is the relationship between force and acceleration?

b. What are the units for the slope of the line? Show you work below:
acceleration (m/s2)
Force (N)

c. Using the line equation (y = mx +b), derive a general equation that describes the relationship between force and
acceleration.

d. What does the equation you derived above tell you about the relationship between mass and acceleration?​

An experiment is performed in which a force is applied to two objects (A and B) and the resulting acceleration

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your answer is second hope it's helpful to you

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