Please help!
You release a pendulum of mass 1 kg from a height of 0.75 m.
A. If there is no air resistance, how fast is the pendulum going when it reaches the bottom?
B. If the pendulum loses 18% of its initial energy by the time it reaches the bottom, how fast is it going when it reaches the bottom?
C. If the pendulum loses another 7% of its remaining energy by the time it reaches the other side, how high does it go?
D. After a few minutes, the pendulum is no longer swinging at all explain why this happens, in terms of energy.

Since , e"(h) = M >0

hence ,  At p3 3ε/M  function e(h) has a minimum of function.

In mathematics, point at which the value of a function is less than or equal to the value at any nearby point (local minimum) or at any point (absolute minimum) or the minimum value of a function is the lowest point of a vertex

e(h) = ∈ /h +( [tex]h^{2}[/tex]/6) M

e'(h) = - ∈ /[tex]h^{2}[/tex] + (2h/6) M

putting , e'(h)  = 0

- ∈ /[tex]h^{2}[/tex] + (2h/6) M  = 0

h = [tex](3 /M)^{1/3}[/tex] *  (∈^(1/3))

e"(h) = 2∈ / [tex]h^{3}[/tex] + (2M)/6                          equation 1

substituting value of h in equation 1, we get

e"(h) = 2∈M / 3∈ + M/3

e"(h) = M >0

hence ,  At p3 3ε/M  function e(h) has a minimum

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Through 57 revolutions the tub rotate while it is in motion.

What is angular speed?

Angular speed is defined as the rate of change of angular displacement, It is a scalar measurement of rotating object.

It is expressed as follows:  ω = θ / t.

Here,

Initially tub is at rest so,

ω(i) = 0 rev/s

ω(f) = 6 rev/s

time taken, t = 8 second

Now the total number of revolutions,

N = t * ( ω(i)+ ω(f) ) / 2

N1 = 8* ( 0+6 ) / 2

N1 = 24 rev

Now, when the lid is opened it's safety switch is off due to which it is uniformly decelerated and comes to rest in 11 s

N2 = 11* ( 0+6 ) / 2

N1 = 33 rev

So,

Total number of revolutions:

N = N1 + N2

N = 24 + 33

N = 57 revolutions

Thus,

Through 57 revolutions the tub rotate while it is in motion.

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If a star appears to move relative to other stars over a one-year period, this motion is due to the star's true space motion.

What is the proper motion of stars?

Proper motion is the angular change in position of a star across our line of sight, measured in arc seconds per year, and symbolized with the letter  μ.

Proper motion is generally measured by measuring the movement of the image of a star with respect to more distant background stars over that time period.

Here we are told that star appears to move relative to other stars over 1 year period.

So we know that,

True space motion is the annual apparent motion of a star across the sky.

True Space Motion is Combination of radial velocity, proper motion, and distance.

Hence,

If a star appears to move relative to other stars over a one-year period, this motion is due to the star's true space motion.

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Answer:

F = K Q1 Q2 / R^2 = m g

Q1 = - Q2 = (4E12 * 1.60E-19) = 6.4E-7   coulombs

Q^2 = 4.10E-13

R^2 = 9.0E9 * 4.1E-13 / (.003 * 9.80) = 36.9E-4 / 2.94E-2

R^2 = .126

R = .35 m

F = K Q1 Q2 / R^2 = m g, Q1 = - Q2 = (4E12 * 1.60E-19) = 6.4E-7   coulombs Q^2 = 4.10E-13, R^2 = 9.0E9 * 4.1E-13 / (.003 * 9.80) = 36.9E-4 / 2.94E-2 R^2 = .126 and R = .35 m.

Due to their electric charges, particles can be attracted to or repelled by electrostatic forces. This force is also known as the Coulomb force or Coulomb contact, and it was first described in 1785 by French physicist Charles-Augustin de Coulomb.

Over a distance of 10-16 meters, or roughly one-tenth the diameter of an atomic nucleus, the electrostatic force is present. While opposite charges attract one another, like charges repel one another.

For instance, two positively charged protons, two negatively charged electrons, or two anions all repel one another. Cation and anions, as well as protons and electrons, are all attracted to one another.

Therefore, F = K Q1 Q2 / R^2 = m g, Q1 = - Q2 = (4E12 * 1.60E-19) = 6.4E-7   coulombs Q^2 = 4.10E-13, R^2 = 9.0E9 * 4.1E-13 / (.003 * 9.80) = 36.9E-4 / 2.94E-2 R^2 = .126 and R = .35 m.

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The work-energy principle states that the work done by all the non-conservative forces acting on an object (or system of objects) causes a change in the total mechanical energy of the object or system.


What is the work-energy principle?
The work-energy principle states that the total work done on a system is equal to the change in kinetic energy of the system. It is given as:

W.D = ΔK.E

       = K.E₁ - K.E₂

where K.E₁ is the initial kinetic energy of the system

            K.E₂ is the final kinetic energy of the system

What is meant by non-conservative forces?

Non-conservative forces as the name suggests are not conserved i.e. these forces cause a loss of mechanical energy from the system. A prime example of non-conservative forces is friction.

The total mechanical energy of the system is the sum of the potential energy and kinetic energy that the system contains. This energy is conserved and follows the work-energy theorem.

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Answer:

See below

Explanation:

The units in this question need to be all the same

Volume = L x W x H      where 'H' is thickness of the foil

1.10 kg = 1100 g

The volume given =   mass / density  =  1100 g / 2.70 g/cm^3=  407.407  cm^3

304 mm = 30.4 cm    .016 mm = .0016 cm

LWH = L * 30.4 cm  * .0016 cm    = 407.407 cm^3

L = 8375.97 cm     = 83.76 meters

The maximum length of aluminum foil that can be made from 1.10-kg of aluminum would be 87.76 meters.

It can be defined as the mass of any object or body per unit volume of the particular object or body. Generally, it is expressed as in gram per cm³ or kilogram per meter³.

By using the above formula for density

ρ = mass / volume

As given in the problem Rolls of aluminum foil are 304 mm wide and 0.016-mm thick.

the mass of the aluminum =  1.10-kg

mass = 1100 grams

the density of the aluminum = 2.70 g/cm3

density = 17/3

2.70 g/cm3 = 1100 grams /volume

volume = 1100/ 2.70

             =407.40 cm3

volume = width×thickness×length

407.40 cm3  = 30.4 ×.0016 ×length

length = 8375.97 cm

           = 87.76 meters

Thus, the maximum length of aluminum foil that can be made from 1.10-kg of aluminum would be 87.76 meters.

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The magnifying power of this telescope is 12,5.

The telescope is an optical instrument that aims to allow the observation of large objects at long distances, such as galaxies, stars and planets. It consists of two parts: the objective, which can be a lens or a curved mirror, and the eyepiece, made up of a set of lenses.

With that being said and knowing that:

The focal length of the objective of a telescope (fo) = 75cm; The focal length of the eyepiece of a telescope (fe) = 6cm.

[tex]M = \frac{fo}{fe}[/tex]

Changing the values:

[tex]M = \frac{75}{6} = 12,5[/tex]

So, The magnifying power of this telescope is 12,5.

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Answer:

f=110HZ

Explanation:

Calculate the frequency of a wave

Based on equation λ= VT but T= 1/f

=> λ=V/f

=> f= V/λ

by V=22m/s

λ= 0.20m

=> f= 22/0.20= 22/(2×10-¹) = 110Hz

So the frequency of a wave is f=110Hz

Answer:

110

Explanation:

velocity=wavelength×frequency

22=0.20f

divide both sides by 0.20

22/0.20=0.20f/0.20

f=22/0.20

f=110

Thermal energy from the room-temperature water will continuously flow to the boiling water.

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Frictional force provided by the teeth of the boots which are in contact with the grass in the soccer pitch enables the soccer player to start running and prevents him from slipping and falling.

Friction is the opposition to the relative motion of one object over another at their surface of contact.

Friction is a type of contact force as it requires between the two objects for its effect to be felt.

Friction has both advantages and disadvantages.

On of the advantages of friction is in the ability to walk or run. Friction between the ground and the foot or the boots of a person walking or running enables the person from slipping.

For example, when a soccer player runs with soccer boots, friction enables the runner to start running and prevents him from slipping and falling. The friction is provided by the teeth of the boots which are in contact with the grass in the soccer pitch.

In conclusion, friction enables a soccer player to start running and also prevents him from falling.

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Answer:

Solids

Explanation:

Solids, liquids, and gases all have mass.

Contact injury happens when a person is holding an object that is directly hit or splashed by lightning.

To find answer, we need to know more about the lightning and injuries.

Thus, we can conclude that, contact injury occurs when a person is holding an object that is directly hit or splashed by lightning.

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When someone is holding something that has been struck or splashed by lightning, contact damage occurs.

We need additional information concerning lightning and injuries in order to identify the solution.

In light of this, we can say that contact injuries happen when a person is holding an object that has been struck by lightning or splashed by it.

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The correct answer is Exothermic reaction and the values are follows: Activation energy = 10 kJ, enthalpy change = -25 kJ

Exothermic reactions are those in which the energy of the reactant is greater than the energy of the result. Heat is produced as a result of the entire energy being released, and this results in a negative response.

Given: The reactants' potential energy is 30 kJ

Products' potential energy is 5 kJ.

The system's maximum energy is 40 kJ.

The additional energy that must be provided to reactants in order for them to break through the energy barrier and transform into products is known as activation energy.

Maximum energy of the system - Potential energy of the reactants equals (40-30) kJ = 10 kJ, which is the activation energy.

Enthalpy change is equal to ((5-30) kJ= -25 kJ): Potential energy of the products - Potential energy of the reactants.

A process for which the overall standard enthalpy change (H) is negative is referred to as an exothermic reaction in thermochemistry. Typically, exothermic reactions produce heat. IUPAC defines exergonic reaction as "... a reaction for which the overall standard Gibbs energy change G is negative." The two terms are frequently mixed up. Since "H" significantly contributes to "G," a very exothermic process will typically also be exergonic. Exothermic and exergonic reactions make up the majority of the impressive chemical reactions that are presented in classrooms. The opposite is an endothermic process, which often produces heat and is fueled by a rise in system entropy. A chemical system's energy can be thought of as its enthalpy.

In a particular chemical reaction, the energy of the reactants is 30 kJ and the energy of the products is 5 kJ. The maximum energy of the system is 40 kJ.

Sketch a potential energy diagram for this reaction. Make sure to label the energy of the reactants, the energy of the products, the activation energy, and the enthalpy change for the reaction.

What is the activation energy for this reaction?

What is the enthalpy change for this reaction?

Is this reaction endothermic or exothermic reaction? Explain your answer in two ways: first, using the energy values, and second, by referring to the shape of the graph.

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The wavelength of the interfering waves is 3.14 m.

The general equation of a standing wave is given by:

y = 2A sin (kx) cos (ωt)                            ......(1)

The given equation represents the standing wave produced by the interference of two harmonic waves:

y = 3 sin (2x) cos 5t                                .......(2)

Comparing equations (1) and (2):

k = 2

We know that,

k = 2π/λ

λ = 2π/k

λ = 2 (3.14)/ 2

λ = 3.14 m

Therefore, the wavelength of the interfering waves is 3.14 m.

I understand the question you are looking for is this:

Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by y = 3 sin (2x) cos 5t where x is in m and t is in s. What is the wavelength of the interfering waves?

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Modern methods of massively parallel sequencing include devices for detecting fluorescence or visible light as each nucleotide is incorporated during synthesis.

Each nucleotide is marked with fluorescent dye, and a some traces of fluorescent intensities helps identify sequences.

What is nucleotide?

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The statement which is correct is that when MP is rising MC is falling, and when MP is falling MC is rising and is denoted as option B.

This is referred to as marginal product and is referred as the extra output derived as result of additional inputs.

MC on the other hand is known as marginal cost and they have an inverse relationship such that when MP is rising , MC is falling and vice versa thereby making it the most appropriate choice.

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Revolutions made by the blade will be 266 rev

Given:

Constant angular acceleration = 0.82 radians/second^2

number of revolution per minute = 500

To Find:

number of revolution

Solution: Angular Acceleration is defined as the time rate of change of angular velocity. It is usually expressed in radians per second per second.

Initial speed of the helicopter blade, w₁ = 0

The final speed of the blade, wf = 500 rpm = 500 x 2π/60 rad/s = 52.35 rad/s

We need to find the number of revolutions. Firstly we will find the angle turned by the blade. Let the angle is θ

So,

wf^2 - wi^2 = 2αθ

θ = wf^2/2α = 1671 rad

Let there are n number of revolutions made by the blade. So,

n = θ / 2π

n = 1671 / 2 x 3.14 = 266 rev

So, the revolutions made by the blade will be 266 rev

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When you double capacitance and inductance, the new resonance frequency becomes halved.

What is Resonance frequency?

It is the natural frequency of an object where it tends to vibrate at a higher amplitude.

The resonance frequency of the LC series circuit is the frequency at which the capacity reactance is equal to inductive reactance.

The formula resonance frequency:

[tex]f_{0} = \frac{1}{2\pi \sqrt{LC} }[/tex]

where;

f0 is the resonance frequency

L is the inductance

C is the capacitance

here, if the capacitance and inductance are doubled, the new resonance frequency becomes;

[tex]f = \frac{1}{2\pi \sqrt{2L2C} }\\f = \frac{1}{2\pi \sqrt{4LC} }\\f = \frac{1}{2*2\pi \sqrt{LC} }\\f=\frac{1}{2} \frac{1}{2\pi \sqrt{LC} }\\f = \frac{1}{2} f_{0}[/tex]

Thus from the above equation for frequency,

When you double capacitance and inductance, the new resonance frequency becomes f(0) / 2.

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Increasing a car's speed from 0 mph to 30 mph requires more work than that of 50 mph to 60 mph.

Work is a measure of energy expended in moving an object. It is calculated by multiplying the force by the distance.

According to this question, work is required to move a car from one position to another.

The distance moved from 0 - 30mph is more than that moved from 50 - 60mph, therefore, increasing a car's speed from 0 mph to 30 mph requires more work than that of 50 mph to 60 mph.

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Answer:  When you cannot stop safely at a yellow traffic light before entering an intersection, enter the intersection carefully and continue across.

Explanation: To find the correct answer, we need to know more about the traffic signal rules.

Thus, we can conclude that, the option C is correct.

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(a) The forces acting on the truck is not balanced.

(b) The resultant force acting on the truck is 40 N towards the right direction.

(c) As the resultant force increases, the speed of the truck increases.

net vertical force = 500 N - 500 N = 0

net horizontal force = 100 N - 60 N = 40 N

The forces acting on the truck is not balanced.

The resultant force acting on the truck is 40 N towards the right direction.

Thus, as the resultant force increases, the speed of the truck increases.

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The ray will not emerge into the air medium from glass medium.

To find the answer, we need to know about the critical angle.

Thus, we can conclude that the light will not emerge into air medium.

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Clouds lose their stability when the surrounding air temperature equals the rising air temperature.

When vapor condenses and produces the billowing columns, the ascending air, which is still warmer than the nearby air, rises. occurs when radiation even during night cools the Earth's surface as well as the air around.

As a result, the air parcel can increase until all of the latent heat has already been released as well as the "surplus" water vapor has condensed. Hence, the fundamental factor that prevents clouds from rising is the cessation of the production of heat transfer through condensation.

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The velocity of the photo electron is 6.11 × 105 ms

Given :

Supplied energy, Es = 5.3 x 10-19 J

Minimum energy of the electron to escape from the metal, E. = 3.6 x 10-19 J

To Find :

Velocity of photoelectron

Solution : The energy supplied by the photon is equal to the sum of minimum escape energy and the kinetic energy of the escaping electron. So

5.3 × 10^-19 J = 3.6 × 10^-19 J + K

K = 5.3 x 10^-19 - 3.6 x 10^-19

K = 1.7 × 10^-19 J

The formula of kinetic energy is given by:

K = 1/2 mv^2

v = √2K/m

= √2 x 1.7 x 10^-19

√ 9.1 x 10^-31

v = 6.11 x 10^5 m/s

So, the velocity of the photo electron is 6.11 x 10^5 m/s

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The different mechanisms for transferring energy to or from a control volume is heat , work and mass .

According to the question

Definition of energy :

The basic definition of energy is capacity to do work.

Types of energy :

The energy can be of various types which can be- heat energy, internal energy, electrical energy, chemical energy and nuclear energy.

The transformation of energy :

The transformation of energy is the conversion mechanism of energy from one form to another. During the transformation process, some portion of the energy is converted into the useless form known as dissipation of energy .

The different mechanisms which transfer energy to or from control volume are:

1, heat

2 .work

3. mass.

Hence, the different mechanisms for transferring energy to or from a control volume is heat , work and mass .

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Answer:

Virgo will be the highest zodiac constellations at night.

The car will take 300 m before it stops due to applying break.

=> -3600 = -12S

=> S = 3600/12 = 300 m

Thus, we can conclude that the distance covered by the car is 300 m before it stopped.

Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: A car is being driven at a rate of 60 ft/sec when the brakes are applied. The car decelerates at a constant rate of 6 ft/sec². How long will it take before the car stops?

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All five stars appear at the same place along the horizontal axis showing spectral type.

Because spectral type is related to surface temperature, all five stars must have the same surface temperature.

Now proceed to Part C to determine how these stars vary in luminosity.

This refers to the heavenly body that is a natural luminous body that is visible in the sky, especially at night

Hence, we can see that based on the ranking of stars, the surface temperature of each star is taken into account, and based on their spectral type, the stars all have the same temperature.

Therefore, to show the difference between the stars, their luminous intensity needs to be analyzed,

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The word 'apparent' mean in apparent visual magnitude is, how bright the star appears when viewed from Earth.

What is visual magnitude?

The brightness of a celestial body is determined by eye estimation with or without optical aid or by other instrumentation equivalent to the eye in spectral sensitivity.

Apparent magnitude:

Hence,

The word 'apparent' mean in apparent visual magnitude is, how bright the star appears when viewed from Earth.

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