The amplitude of a lightly damped oscillator decreases by 4.0 uring each cycle. what percentage of the mechanical energy of the oscillator is lost in each cycle?

Answers

Answer 1

Percentage of the mechanical energy of the oscillator is lost in each cycle is 8%

The mechanical energy can be written as the maximum kinetic energy. Hence,

E=Kmax

=12mv²

|\E=12mA²ω² .........(i)

On differentiating, we get

/dE=mAω²dA…. /(ii)

Dividing eq.(ii)by equation(i), we get

dEE(mechanical energy) =mAω²dA (1/2) mA²ω²

=2dAA

=2(4.0%)

=8.0%

The difference between the mean or equilibrium position and either extreme is the oscillation's amplitude. The particle oscillates completely back and forth from its mean position

Mechanical energy is the energy that is obtained by the things that do the work. The energy that an object possesses as a result of its motion or position is known as mechanical energy. Kinetic energy, or the energy of motion, and potential energy are two types of mechanical energy (stored energy of position)

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Related Questions

Certain heavy industrial equipment uses ac power that has a peak voltage of 703 v. what is the rms voltage?

Answers

The RMS voltage of certain heavy industrial equipment is calculated as = 497.09 V . Ac power that has a peak  voltage .

Evaluating :

RMS = [tex]\frac{V_{pk} }{\sqrt{2} } = \frac{703}{\sqrt{2} } \\\\[/tex]

           = 497.09 V .

Simplification :

As the a c current fluctuates, the typical voltage can be computed in terms of the big voltage as using the following equation. Where v r m s is that the average voltage v. Big is that the peak voltage, so this is often the maximum voltage that can be derived from an a c power, therefore the relationship is p r m s equals v peak over square of 2. as long as the peak voltage is equal to 703 volts, we wish to seek out the v r m s. So we're just visiting divide the pick voltage by spirit of 2, which gives us the r m s of 703 over of 2, and this is often 497 point and the unit is same as the piquant, which is volts. So i hope everything is square.

What is RMS voltage ?

RMS or root mean square current/voltage of the alternating current/voltage represents the d.c. current/voltage that dissipates the identical amount of power as the average power dissipated by the alternating current/voltage. For sinusoidal oscillations, the RMS value equals peak value divided by the root of 2.

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What type of light on the electromagnetic spectrum has the highest energy per photon?.

Answers

Answer:

Gamma rays have the highest energies

Explanation:

please make my answer as brainelist

4. Which is a NOT a unit for speed? (4 points)
1.cm/min
2.km/h
3.m/s
4.km

Answers

4 is not because it is for distance and 1 is not correct because it is supposed to be in seconds not minutes

Which student's plate is following the MyPlate recommendations?
Ashley has toast, a bowl of cereal, a granola bar, and a glass of juice.
Brian has pasta, a green salad, grilled chicken, and a glass of milk.
Kendra has yogurt, ice cream, an apple, and a glass of milk.
Megan has cookies, carrots, a piece of cake, and soda.

Answers

Brian  is following the MyPlate recommendations because he has pasta, a green salad, grilled chicken, and a glass of milk.

Fruits and vegetables should take up half of the plate, according to MyPlate. The two basic categories of grains are whole grains and processed grains.Fruits, vegetables, grains, proteins, and dairy make up the bulk of the MyPlate dietary groups. Apples, grapes, oranges, berries, carrots, onions, maize, peas, bell peppers, and mushrooms are just a few examples of fruits and vegetables that are low in calories, rich in fiber, and deficient in potassium in the typical American diet. It includes antioxidant phytonutrients in addition to bone-building elements including potassium, calcium, magnesium, vitamin K, and vitamin C.

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Answer:

B) Brian has pasta, a green salad, grilled chicken, and a glass of milk.

Proof:

Two ideal gases, a and b, are at the same temperature. if the molecular mass of the molecules in gas a is twice that of the molecules in gas b, the molecules' root-mean-square speed is?

Answers

The molecules' root-mean-square speed is R = 8.31 J/(mole⋅ K)

Thermal Motion:

Molecules in any object are in constant motion, the speed of that motion being defined by the temperature of the thing . just in case of ideal gases, the speed of motion is that the function of the temperature and the molar mass of the gas only.

Evaluation :

The root mean square speed of the molecules in the gas is given by:  vrms =√3 RT/M

Here,

T is the temperature of the gas;

R = 8.31 J/(mole⋅ K) is the universal gas constant;

M is the molar mass of the gas;

Since the molecular mass of the gas A is twice as large and therefore the speed is inversely proportional to the square root of the molar mass, the speed of molecules in B is bigger by the factor √2 ≈ 1.4

What is molar mass?

The molar mass (symbol M, SI unit kg·mol−1) is defined because the mass per unit amount of substance of a given chemical entity. keep with the definition of the mole, the chemical entity in question should be specified

What is molar mass and mole?

The molar mass of a substance is defined because the mass of 1 mol of that substance, expressed in grams per mole, and is adequate to the mass of 6.022 × 10²³ atoms, molecules, or formula units of that substance

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