What is the sound level of a sound whose intensity is 1.5×10^−6 W/m2? The intensity of the reference level required to determine the sound level is 1.0×10^−12 W/m2. Express your answer to two significant figures and include the appropriate units.

Answers

Answer 1

The sound level of a sound whose intensity is 1.5 × 10⁻⁶ W/m² is 66.99 dB.

What is the intensity of sound?

Humans can hear sounds in such a wide range of intensities ( spans 13 orders of magnitude). The Threshold of Hearing is the level at which even the tiniest sound becomes heard.

We should develop a scale to quantify sound intensity that falls between 0 and 100 because it is challenging to develop an intuition for numbers in such a wide range. That is the decibel scale's intended use (dB).

(10dB)log₁₀ ( I / I₀)

I₀ = intensity at the threshold of hearing.

I = 1.5 × 10⁻⁶

I₀ = 1 × 10⁻¹²

(10dB)log₁₀ = 1.5 × 10⁻⁶  / 1 × 10⁻¹² = 66.99 dB.

Therefore, the sound level of a sound is 66.99 dB.

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Question 22 of 32
As a warehouse worker pushes a crate across a concrete floor, the force he
applies is not perfectly horizontal, as shown in the image below. If the
coefficient of kinetic friction between the crate and concrete floor is 0.5, what
is the net force on the crate?
Pushing Force
250 N
Weight
345 N
50
Friction Force

Answers

If the coefficient of kinetic friction between the crate and the concrete floor is 0.5, then the net force on the crate will be 99N.

What is the calculation of the net force?  

On resolving the given force and acceleration.Mathematically in the different components and balancing the equation gets.Components in the x-direction.

When all the forces get resolved the y-direction of forces are;

300 sin 10° +N = 445

N = 445-295.4

N = 392.9 N

The normal force is 392.9 N.

The net force on the crate is found by resolving the force in the x-direction;

F = 300 cos 10° - μN

F= 295.44-196.45

F= 98.99

F=99

Hence, the net force on the crate will be 99 N.

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Your question was incomplete most probably your full question was:

As a warehouse worker pushes a crate across a concrete floor, the force he applies is not perfectly horizontal, as shown in the image below. If the coefficient of kinetic friction between the crate and concrete floor is 0.5, what is the net force on the crate?

A. 136 N

B. 99 N

C. 73 N

D. 112 N

What are the similarities between stress and anxiety?

Answers

Anxiety and stress are interconnected. Anxiety is often your stress or worries. Your body reacts to threats with stress.

Stress and anxiety can be beneficial in the short term but harmful in the long term for similar reasons. They trigger clear nervous system responses that help humans fight or flee in real danger. Stress is a body-wide response to demand. Change that strains the body, mind, or spirit is stress.

Fear and anxiety arise when the demands seem too great. Anxiety is similar to fear. Fear is the alarm response to real and imminent danger. Anxiety is based on future negative events.

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You build a pendulum with a mass of 0.40 kg attached to the end of a string with a length of 1.8 m. If you release the pendulum from an angle of 50° from equilibrium (which would be 40° below the horizontal,) what is the ball’s fastest velocity?
Please show your work

Answers

The fastest velocity of the ball is approximately 5.95 m/s.

To solve this problem, we can use the conservation of mechanical energy. When the pendulum is released, the total mechanical energy is given by the potential energy at the starting point plus the kinetic energy at that point:

E = PE + KE

The potential energy of the pendulum at the starting point is given by its mass, the acceleration due to gravity, and its height above the starting point:

PE = mgh

The kinetic energy of the pendulum at the starting point is given by its mass, the velocity squared:

KE = 1/2 mv²

At the starting point, the velocity is 0, so the kinetic energy is also 0. Therefore, the total mechanical energy at the starting point is equal to the potential energy:

E = mgh

As the pendulum swings, the potential energy decreases and the kinetic energy increases. However, the total mechanical energy remains constant. When the pendulum reaches its lowest point, the velocity is at its maximum and the potential energy is at its minimum. Therefore, at the lowest point, the total mechanical energy is equal to the kinetic energy:

E = KE

Substituting the expressions for potential energy and kinetic energy, we get:

mgh = 1/2 mv²

Solving for v, we get:

v = sqrt(2gh)

Substituting the given values, we get:

v = sqrt(2 * 9.8 m/s² * 1.8 m)

= sqrt(35.28 m²/s²)

= 5.95 m/s

So the fastest velocity of the ball is approximately 5.95 m/s.

On the construction site for a new skyscraper, a uniform beam of steel is suspended from one end. a) If the beam swings back and forth with a period of 5.00 s , what is its length?

Answers

The length of the beam should be 93 meters if it swings back and forth with a duration of 5 second.

Beam physics has an impact on many fields of physics, engineering, and the sciences. Generally speaking, beams are collections of particles whose motion is a weakly nonlinear disturbance of a chosen reference particle and which can be addressed collectively as a result of their beginning conditions. A pendulum is a weight that is suspended from a pivot so that it can freely swing. If a pendulum is sideways shifted from its resting, equilibrium position, gravity's restoring force will lead it to accelerate back toward that point.

Time period for a pendulum in the shape of rod is,

[tex]T=2\pi\sqrt\frac{2L}{3g}[/tex]

Then [tex]L=\frac{3gT^{2} }{8\pi^{2} }[/tex]

L=[tex]\frac{3\times 9.8 \times 5^{2} }{8\pi^{2} }[/tex]

L=93m

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If the temperature at sea level is 80°F, what is the temperature at 12,000 feet above sea level? View Available Hint(s) 38°F 28°F 0%F 48°F 18°F

Answers

At 12,000 feet above sea level, the temperature is 38°F if the air temperatures at sea level is 80°F.

What does °F refer to in terms of temperature?

Daniel Gabriel Fahrenheit, a scientist, initially suggested the temperature measure known as the Fahrenheit scale in 1724. (1686–1736).

The sign for the unit is indeed the letter °F, which stands for degrees Fahrenheit. There are several stories about how he first developed his scale, but according to the first publication, the lower defining point, 0 °F, was chosen as the freezing point of a brine solution that was formed by mixing water, snow, and ammonium chloride (a salt).

His best guess for the normal temperature of a person, which was initially put at 90 °F and later adjusted to 96 °F (around 2.6 °F),The other limit established was lower than the actual value (due to a subsequent revision of the scale).

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Carbon‑14 is a radioisotope that is used for dating biological organisms. The half‑life of C‑14C‑14 is 5730 years. When a 1 g sample of carbon from fresh peat is measured for radioactivity, 900 beta decays are recorded every hour.
A 1 g sample of carbon is obtained from a peat deposit and is measured for radioactivity.
If 450450 beta decays are observed every hour, how many half‑lives of C‑14C‑14 have passed since the deposit was formed?
A. 450450
B. 1212
C. 11
D. 22

Answers

A 1 g sample of carbon is obtained from a peat deposit and is measured for radioactivity. If 450450 beta decays are observed every hour, 1212 are the  halflives of C‑14C‑14 have passed since the deposit was formed.

Carbon‑14 is a radioisotope that is used for dating biological organisms. The half‑life of C‑14C‑14 is 5730 years. When a 1 g sample of carbon from fresh peat is measured for radioactivity, 900 beta decays are recorded every hour. A 1 g sample of carbon is obtained from a peat deposit and is measured for radioactivity. If 450450 beta decays are observed every hour, 1212 are the  half‑lives of C‑14C‑14 have passed since the deposit was formed. Radioactivity is the process of decaying of the atom in the time as on years. hence by this information we can firmly conclude that if a 1 g sample of carbon is obtained from a peat deposit and is measured for radioactivity. If 450450 beta decays are observed every hour, 1212 are the  half‑lives of C‑14C‑14 have passed since the deposit was formed.

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The energy change when 2 kg of aluminium melts is 132,000J. What is the Latent heat of fusion?

Answers

Answer:

The latent heat of fusion is the amount of energy needed to change a substance from a solid to a liquid without changing its temperature. In this case, the latent heat of fusion of aluminium is 132,000J per 2 kg of the substance.

Some refrigerators use 600 W of electrical power. If the current in the outlet is 20 A, what voltage is needed? Source StylesFormatFontSize

Answers

The value of the voltage needed in the circuit is 30 V.

What is the voltage of the source?

The voltage of the source is calculated by applying ohm's law. Ohm's law states that the voltage across a conductor is directly proportional to the current flowing across the conductor.

Mathematically, the formula for the relationship between voltage, power and current is given as;

P = IV

V = ( P ) / ( I )

where;

V is the voltage across the circuitP is the power supplied in the circuitI is the current flowing in the circuit

The value of the voltage needed in the circuit is calculated as follows;

V = ( 600 W ) / ( 20 A )

V = 30 volts

Thus, the voltage needed in the circuit is a function of the power supplied in the circuit and the current flowing in the circuit.

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a motor gives gear a an angular acceleration of αa=(4t3)rad/s2, where t is in seconds. If thisgear is initially turning at (ωa)o=20rad/s, determine the angular velocity of gear B when t=2s.rb=0.15mra=0.05m

Answers

The angular velocity of gear B when t=2s is 12rad/s when a motor gives gear a an angular acceleration of αa=(4t3)rad/s^2.

Given the  angular acceleration of a gear αa = (4t3)rad/s^2

The initial angular velocity (ωa)o = 20rad/s

We know that rate of change in angular velocity results in angular acceleration such that dw/dt = α

considering the limit values from 20 to ωa we integrate as:

∫dωa = ∫αadt = ∫4t^3dt

Then we get ωa = t^4 + 20

At time t = 2s we have the angular velocity as:

ωa = 2^4 + 20 = 36rad/s

So the angular velocity at point A is equal to angular velocity at point B.

ωara = ωbrb where ra is the radius of gear A and rb is the radius of gear B.

Given rb = 0.15m and ra = 0.05m

36 x 0.05 = ωb x 0.15

ωb = 12rad/s

Hence the angular velocity of gear B = 12rad/s

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A system which undergoes an adiabatic change (i.e., q = 0 which means no change in the system's heat energy) and does work on the surroundings has a. w> 0. AE <0 b. W<< 0, AE <0 c. W<0, AE = 0 d. W>0. AE > 0 e. W<0. AE > 0

Answers

A system which undergoes an adiabatic change. The work done and the change in the internal energy are: W>0,  AE > 0 (option d)

Adiabatic process is a thermodynamic process in which no heat goes into or out of a system and all internal energy is changed by work.

Adiabatic operations are frequently carried out in an insulated container, where the process occurs too quickly for heat to be transferred. Because heat transfers due to a temperature difference between a system and its surroundings, an adiabatic process can occur even when the system is in thermal equilibrium.

The first law of thermodynamics is:

ΔU = Q + W

Where:

ΔU = change in internal energy

Q = heat transfer

W = work done

In the given problem, the internal energy is represented by AE, hence, we can write:

AE = Q + W

Since there is no change in heat energy, Q = 0, therefore,

AE = W

The work done in an adiabatic process is positive. Therefore, the correct answer is W>0,  AE > 0 (option d)

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Which type of energy makes up most of the internal energy of a solid substance?
A. Potential energy from intermolecular forces
B. Kinetic energy from rotation
C. Kinetic energy from translation
D. Kinetic energy from vibration

Answers

Answer:

The correct answer is D, Kinetic energy from vibration. The internal energy of a solid substance is made up of the kinetic energy of the particles that make up the solid. The particles in a solid are constantly vibrating, and the average kinetic energy of these vibrations contributes to the internal energy of the solid. Intermolecular forces, such as those between atoms or molecules in a solid, also contribute to the internal energy of a solid, but this contribution is typically smaller than the contribution from the kinetic energy of the particles. Rotation and translation, which are types of kinetic energy, are not typically significant contributors to the internal energy of a solid.

What was the impact of the invention of the maritime clock?

Answers

It has an impact on long distance sea journey and accuracy on longitude determination.

Who invent the maritime clock?

The inventor of maritime clock is John Harrison. John Harrison was a self-educated person who work as carpenter and clockmaker. During age of sail, people determine the longitude based on astronomy but the accuracy is quiet lack because there is a lot of unpredictable factor in this methods. After he invented the maritime clock, the problem of longitude determination solved. This invention lead the navigator decide the right decision for the ships. So, the safety of long journey on the sea is highly increase those time.

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studies from ________ led to the discovery of "dark energy."

Answers

Studies from Type 1 supernovae at very large red shifts led to the discovery of "dark energy.

What happened during type supernovae occur?

When type I supernova occur, the start is detonate and cause the increase of the white dwarf's mass. When the white dwarf's mass reaches a density of more than 2 x 10⁹ g/cm³, The star core is collapse, that causes a fusion process between carbon and oxygen. This condition is the main factor to the detonation of the stars.  During this detonation the star is completely destroyed that produce dark energy. Dark energy is a hypothetical form of energy that exerts a repulsive pressure, negative and its activity like the opposite of gravity.

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What is the volume of a liquid with a mass of 0.254 g and a density of 1.00 g/ml?

Answers

0.254 g x (1 g/ml) = 0.254 ml

why is a 1 solar-mass red giant more luminous than a 1 solar-mass main sequence star?
A) The red giant is more massive.
B) The red giant has a hotter core.
C) Fusion reactions are producing energy at a greater rate in the red giant.
D) The red giant's surface is hotter.

Answers

Option c is Correct. Is a 1 solar mass red giant brighter than a 1 solar mass main sequence star because fusion reactions produce energy more quickly in the red giant.

Stars eventually move away from the main sequence as they get older and eventually turn into red giants or supergiants. As a result of hydrogen fusion occurring in a shell surrounding the red giant's core, the outer layers are expanding while the red giant's core is contracting.

The star grows, turns redder, and becomes brighter as it cools and expands. After the star first began to undergo nuclear reactions, it continued to lose mass as some mass was converted to energy and other material was lost in the winds. Therefore, even if a red giant is enormous.

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You curl a 5.5-kg (12 lb) barbell that is hanging straight down in your hand up to your shoulder.
A) If the body is 20% efficient at converting chemical energy into mechanical energy, how many times would you have to lift the barbell in order to burn enough calories to use up the energy absorbed by eating a 300-food-calorie dish of ice cream? Note: 1 food calorie = 1 kilocalorie = 4186 J.
B) If the body is 20% efficient at converting chemical energy into mechanical energy, how many times would you have to lift the barbell in order to burn enough calories to use up the energy absorbed by eating a 300-food-calorie dish of ice cream? Note: 1 food calorie = 1 kilocalorie = 4186 J.

Answers

You would need 23.3 lifts and 116.5 pull-ups to burn enough calories to consume the energy absorbed from eating a 300-calorie ice cream cone.

A)Number of lifts = 300 cal / 12.9 cal/lift = 23.3 lifts

B)Number of lifts = 1500 cal / 12.9 cal/lift = 116.5 lifts

How to calculate the number of lifts?

A) To calculate the number of times you would have to lift the barbell to burn enough calories to use up the energy absorbed by eating a 300-food-calorie (300 kcal) dish of ice cream, you need to know the amount of energy used in lifting the barbell and the amount of energy used in burning calories.

First, you need to calculate the work done by lifting the barbell. Work is equal to force x distance, and force is equal to mass x acceleration (F = ma). In this case, the mass of the barbell is 5.5 kg and the acceleration is 9.8 m/s^2 (the acceleration due to gravity). So, the work done in lifting the barbell is:

Work = (5.5 kg)(9.8 m/s^2)(1 m) = 53.9 J

Next, you need to calculate the number of calories burned by lifting the barbell. One calorie is equal to 4.186 J, so the number of calories burned is:

Calories burned = (53.9 J) / (4.186 J/cal) = 12.9 cal

Finally, you need to calculate the number of times you would have to lift the barbell to burn enough calories to use up the energy absorbed by eating a 300-food-calorie dish of ice cream. To do this, you need to divide the total number of calories absorbed from the ice cream (300 cal) by the number of calories burned per lift (12.9 cal):

Number of lifts = 300 cal / 12.9 cal/lift = 23.3 lifts

B) The body's efficiency at converting chemical energy into mechanical energy is 20%. So, you need to lift the barbell more times than the previous calculation. To calculate this, you need to divide the total number of calories absorbed from the ice cream (300 cal) by the body's efficiency (20%):

Total calories = 300 cal / 20% = 1500 cal

Then divide the total number of calories by the number of calories burned per lift (12.9 cal)

Number of lifts = 1500 cal / 12.9 cal/lift = 116.5 lifts

Please note that this is an estimate and that actual energy expenditure will depend on individual factors such as muscle mass and overall fitness level.

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two tugboats pull a disabled supertanker. each tug exerts a constant force of 1.50x10^6N, one at an angle 13° west of north, and the other at an angle 13° east of north, as they pull the tanker a distance 0.900 km toward the north.

Answers

As they pull the tanker a distance 0.900 km toward the north, total work done is 1.908 ×10⁹ Joule.

What is force?

The definition of force in physics is: The push or pull on a massed object changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

Net force applied on the tugboats pull  = √{( 1.50x10^6)² + ( 1.50x10^6)²}

= 2.12 × 10⁶ N.

Hence, the work done is =  2.12 × 10⁶ N × 0.900 km

= 2.12 × 10⁶ N × 900 m

= 1.908 ×10⁹ Joule.

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The pages of a book are numbered i to 200 and each leaf is o.10 mm thick.If each cover is 0.20mm thick,what is the thickness of the book.

Answers

The thickness of the book is 10.40 mm thick.

The reason we learn math is to apply this to real life. We learn addition, subtraction, multiplication, division, and all other mathematical operation with the aim that we can use that in real-life problems. Given problem is one of the examples where we will use math in a real-life situation.

200 pages means that there are 100 papers.

1 paper = 0.1mm

So, 100 papers = 0.1* 100 = 10mm

There are two covers of 0.2mm each, therefore

Total thickness = 10 + 2*0.2

= 10 + 0.4

= 10.4 mm

Hence, thickness of the book is 10.40 mm thick.

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The thickness of the book is 10.40 mm thick.

Why we apply math in real life?

Learning math is done so that you can use it in real-world situations. It is our intention to be able to use addition, subtraction, multiplication, division, and all other mathematical operations to solve problems that come up in daily life. The given problem is one of the situations where math will be used in a practical setting.

200 pages means that there are 100 papers.

1 paper = 0.1mm

So, 100 papers = 0.1* 100 = 10mm

There are two covers of 0.2mm each, therefore

Total thickness = 10 + 2*0.2

= 10 + 0.4

= 10.4 mm

Hence, thickness of the book is 10.40 mm thick.

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When a force of p N is applied to a spring, it stretches by q m.
What expression represents the spring constant of the spring?
Enter your answer as an expression with variables, such as x + y, with the appropriate unit.

Answers

When a force of P is applied to the spring results in its stretching by q m, the expression for force is written as:

p = -k q or p/q = k

where, the proportionality constant k is called the spring constant.

What is spring constant?

For an elastic material like a spring, the force applied on the material is directly proportional to the displacement occurred.

thus, F = - kx

where F is the force , x be the displacement and the proportionality constant k is called the spring constant of the elastic material.

The spring constant can be defined as the force required to stretch an elastic material by one unit. Unit of force is Newton (N) and the displacement if given in meter,  the unit of spring constant is N/m.

Given the force applied here is p N. The stretched length of the spring is q m. then,

p ∝ q

p = - k q

and spring constant k = p/q N/m.

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The gravitational force on the solar system is the net force due to all the matter inside our orbit. Most of that matter is concentrated near the center of the galaxy. Assume that the matter has a spherical distribution, like a giant star. What is the approximate mass of the galactic center

Answers

The moon is held in orbit around Earth by gravity, much as the planets are held in place in their orbits around the sun. Ocean tides are produced by the oceans being drawn toward the moon by its gravitational force attraction.

Is the end effect of the gravitational forces in the solar system?

The planets are drawn into orbits around the Sun by its gravity, and certain planets also induce the orbits of moons. Even the spacecraft itself are moving about the solar system, either in orbit around the Earth or the Moon.

The planets are kept in orbit around the Sun by what force?

gravity In the first place, gravity is the force that pulls humans to the surface of the Earth, maintains the planets' orbits around the Sun, and spurs the formation of planets, stars, and galaxies.

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The approximate mass of the galactic center is 1.87 x 10^47kg when the gravitational force on the solar system is the net force due to all the matter inside our orbit.

Given the solar system's radius, (r) = 25000 light years

The velocity of light (v) = 3 x 10^8m/s

The speed of solar system (u) = 230km/s

We can determine the big star's mass as: GM/r = v^2

M = v^2 x r/G

M = (230 x 10^3)^2 x 25000 x 3 x 10^8 x 365 x 24 x 60 x 60/ 6.67 x 10-11

M = 1.87 x 10^41kg

Hence the approximate mass of the galactic center = 1.87 x 10^41kg

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complete question: The solar system is 25,000 light years from the center of our Milky Way galaxy. One light year is the distance light travels in one year at a speed of 3.0 x 10^8 m/s. Astronomers have determined that the solar system is orbiting the center of the galaxy at a speed of 230 km/s. The gravitational force on the solar system is the net force due to all the matter inside our orbit. Most of that matter is concentrated near the center of the galaxy. Assume that the matter has a spherical distribution, like a giant star. What is the approximate mass of the galactic center?

damping is negligible for a 0.150-kg mass hanging from a light 6.30-n/m spring. the system is driven by a force oscillating with an amplitude of 1.70 n. at what frequency will the force make the mass vibrate with an amplitude of 0.440 m?

Answers

A sinusoidal force with an amplitude of 1.70N drives the system = 0.641 Hz if Damping is negligible for a 0.150kg object hanging from a light, 6.30N/m spring.

What is a force in science?

In science, the word 'force' has a precise meaning. At this level, it is completely appropriate to describe a force as a push or a pull. A force is not something that an object contains or 'has in it'. A force is exerted on one object by another.

What is balance force?

Balanced forces: Balanced forces are those that are opposite in direction and equal in size. Balanced forces are considered to be in a state of equilibrium. When forces are balanced there is no change in direction.

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state the property that allows plastic to become electrostatically charged

Answers

Answer: Static is the property of plastics that allows them to become electrostatically charged. Explanation: When two objects are rubbed together, the movement of electrons from one object to another object happens

on a typical seismogram, ____________ will show the highest amplitudes.

Answers

Surface waves will typically have the highest amplitudes on a seismogram.

Seismogram. the recorded seismic waves from an earthquake that were made by a seismograph. The best way for floor waves (L) to travel is through solids, which causes the crust to ripple like ocean waves (maximum destructive) The first waves to be detected after an earthquake are body waves (P & S).

P waves arrive first because they travel at the best velocity because they are compressional waves. The primary, or P, waves travel the fastest and are the first to be recorded by a seismograph. Secondary waves, or S waves, move more slowly.

Rock oscillates perpendicular to the direction of wave propagation in S or shear waves. In rock, S waves typically travel at a speed of around 60% that of P waves, and they always arrive after the P wave.

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An object is spun around in circular motion such that its frequency is 50 hz. A. What is the period of its rotation? b. How much time will be required to complete 250 rotations?.

Answers

Answer:

A.0.02 Seconds

B.5 Seconds

Explanation:

A. The period of a rotating object is, the amount of time it takes to complete one full rotation.  

Therefore,

Period = 1 / Frequency

So for an object that has a frequency of 50 Hz, its period would be:

Period = 1 / 50 Hz = 0.02 seconds

So the answer is 0.02seconds

B. To find out how much time it takes to complete 250 rotations, we  use the period of the rotation,  0.02 seconds. Since the period is the time it takes to complete one rotation, we  find the time  to complete 250 rotations by,

multiplying the period by the number of rotations:

Hence,

Time = Period x Number of Rotations

Time = 0.02 seconds x 250 = 5 seconds

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A block of mass M is at rest on a ramp that is inclined at an angle θ with respect to the horizontal. Frictional forces are considered to be nonnegligible. The block is pushed against a spring and then held in place. The spring is compressed a distance of x1, and the spring is not secured to the block. The block is then released from rest, travels up the incline, and comes to rest after traveling a distance D, as shown above. Which of the following claims correctly describes the energy of the system under consideration from when the block compressed the spring and when the block has traveled a distance D along the incline? Select two answers.
See the image for choices

Answers

(B) The mechanical energy of the system consisting of the block does not change

(D) The mechanical energy of the system consisting of the block, spring and Earth increases by ¹/₂kx².

option B and D are the correct answers.

What is law of conservation of energy?

The law of conservation of energy states that energy can neither be created nor destroyed but can be converted from one form to another.

Based on the law of conservation of energy, the total mechanical energy of a system is always conserved.

Mathematically, the formula for conservation of mechanical energy is given as;

M.A = K.E + P.E

where;

K.E is kinetic energyP.E is the potential energy of the system

When the block is placed at the given position, its mechanical energy does not change because the change in the kinetic energy of the block is equal to the change in potential energy of the block.

However, by compressing the spring, the block acquires stored elastic potential energy, this increases the total mechanical energy of the block and the entire system.

Mathematically, the formula for the stored elastic potential energy of the spring is given as;

U = ¹/₂kx²

where;

x is the compression of the springk is the spring constant

Thus, we can conclude the total mechanical energy of the system consisting of the block, spring and Earth increases by the stored elastic potential energy of the spring.

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Consider the two electron arrangements for neutral atoms a and b. Which atom is more stable? a - 1s22s22p63s1 b - 1s22s22p65s1 b a indeterminate.

Answers

The more stable electron arrangements will be of A 1s²2s²2p⁶3s¹ because of the lower orbits are completely filled in compare with B.

Electron configuration is the arrangement of electrons around the nucleus of an atom based on their energy level. Electrons exist in different energy levels (previously described as “shells”) and the energy levels correspond to the horizontal rows on the periodic table.

Orbitals are areas within shells where the electrons are located These orbitals may have different shapes and There may be different numbers of orbitals within a shell. We know the electron is somewhere in the orbital, but we can’t know exactly where it is or how fast it is moving

Heisenberg’s Uncertainty Principle Each orbital can hold two electrons (Pauli Exclusion Principle). Electrons are added one at a time to the lowest energy levels first (Aufbau principle).

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A has a more stable electrical arrangement than B because all lower energy levels are filled before higher ones, which is  1s²2s²2p⁶3s¹.

The distribution of electrons at various energy levels is shown by an atom's electron configuration. The number of electrons in an atom is represented in the electron configuration as a superscript of atomic subshells.

The maximum number of electrons that may fill an electron shell is calculated using the primary quantum number. The number of electrons that can fit in a given shell as a whole is given by the formula 2n2.

Before filling an orbital with a higher energy level, the electrons in the atomic orbitals of a lower energy level must be entirely filled.

Therefore, the electronic configuration 1s²2s²2p⁶3s¹ of atom A is more stable than 1s²2s²2p⁶5s¹ of atom B.

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the strong force of cohesion at the surface of a liquid?

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The cohesive forces between liquid molecules generate the surface tension phenomena.

What is cohesion?

In physics, cohesion is defined as the intermolecular attractive force operating between two adjacent sections of a material, most notably a solid or liquid. This is the force that keeps stuff together. Intermolecular forces also exist between two distinct substances that come into contact, a process known as adhesion. Water characteristics cohesion and adhesion explain how water molecules interact with one another. as well as how water molecules interact with other substances such as leaves or even you. Water tends to stick to itself, which is what cohesion means. Water tends to attach to other things, which is what adhesion means. Cohesion is the act of sticking together. If your group of pals goes to the lunchroom as a unit and sits together, you're displaying good cohesiveness.

Here,

The phenomenon known as surface tension is caused by the cohesive forces between liquid molecules.

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What mass of HI should be present in 0.300 L of solution to obtain a solution with each pH value? Part A pH= 1.20 Part B pH= 1.70 Part C. pH= 2.80

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At pH = 1.20, the concentration of HI must be high and the concentration of H+ must be high as well, so HI is mostly in the form of H+ ions.

At pH = 1.70, the concentration of HI is lower and the concentration of H+ is lower as well, so HI is mostly in the form of HI molecules.

At pH = 2.80, the concentration of HI is even lower and the concentration of H+ is even lower as well, so HI is mostly in the form of HI molecules.

MASS OF HI

To determine the mass of HI present in a solution at a specific pH, you would need to use the acid dissociation constant (KA) of HI and the concentration of the solution.

Given the pH values, it would be difficult to determine the mass of HI present in 0.300 L of solution without knowing the acid dissociation constant (KA) of HI and the initial concentration of HI in the solution.

The mass of HI refers to the amount of HI (Hydrogen Iodide) present in a solution. It is typically measured in grams. To determine the mass of HI in a solution, you would need to know the concentration of the solution and the volume of the solution. The equation to calculate mass of HI would be: mass = concentration x volume.

It is also important to know that the mass of HI would change depending on the degree of dissociation, the mass of HI would be different in different pH values.

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A dolphin has a kinetic energy of 2800 [J] and a mass of 75 [kg]. What is the velocity of the mammal?

Answers

velocity = square root of (2 x Kinetic Energy / Mass)

velocity = √(2KE/m)

velocity = √(2*2800/75)

velocity = 24.29 m/s

A small block of mass M is released from rest at the top of the curved frictionless ramp shown above. The block slides down the ramp and is moving with a speed 3.5vi when it collides with a larger block of mass 1.5 M at rest at the bottom of the incline. The larger block moves to the right at a speed 2vi immediately after the collision.

1. Determine the height h of the ramp from which the small block was released in terms of M, vi, h, and constants.

2. The larger block slides a distance D before coming to rest. Determine the value of the coefficient of kinetic friction µ between the larger block and the surface on which it slides, in terms of M, vi, h, D and constants.

Answers

The height of the ramp and the coefficient of kinetic friction found using the principle of conservation of energy are as follows;

1. h ≈ 0.625·[tex]v_i[/tex]²

2. [tex]\dfrac{10}{49} \cdot \dfrac{v_i^2}{D}[/tex]

What is the principle of conservation of energy?

The principle of conservation of energy states that energy can only be transformed from one form to another, as energy is neither created nor can energy be destroyed.

Mass of the smaller block = M

Initial height of the smaller block = h

Velocity of the smaller block when it collides with the larger block = 3.5·[tex]v_i[/tex]

Mass of the larger block = 1.5·M

Speed of the larger block just after collision = 2·[tex]v_i[/tex]

1. The potential energy of the smaller block at the top of the ramp = M·g·h

Where;

g = The acceleration due to gravity ≈ 9.81 m/s²

The kinetic energy of the smaller block when it collides with the larger block at rest at the bottom of the incline = 0.5·M·[tex](3.5\cdot v_i)^2[/tex]

According to the principle of conservation of energy, we get;

M·g·h = 0.5·M·[tex](3.5\cdot v_i)^2[/tex] = 0.5·M×12.25·[tex]v_i[/tex]² = 6.125·M·[tex]v_i[/tex]²

M·g·h = 6.125·M·[tex]v_i[/tex]²

h = (6.125÷9.81)·[tex]v_i[/tex]² ≈ 0.625·[tex]v_i[/tex]²

The height of the ramp, h ≈ 0.625·[tex]v_i[/tex]²

2. The frictional force, [tex]F_N[/tex] = Normal reaction × Coefficient of friction

The normal reaction of the larger block on the flat surface = The weight of the larger block

Therefore; [tex]F_N[/tex] = 1.5·M·g = 1.5×9.8×M = 14.7·M

The coefficient of kinetic friction = μ

Therefore, [tex]F_N[/tex] = 14.7·M × μ

The work done due to friction = [tex]F_N[/tex] × D

Therefore; Work due to friction = 14.7·M × μ × D

The kinetic energy of the larger block = 0.5 × 1.5·M × (2·[tex]v_i[/tex])² = 3·M·[tex]v_i[/tex]²

According to the principle of conservation of energy, we get;

14.7·M × μ × D = 3·M·[tex]v_i[/tex]²

14.7 × μ × D = 3·[tex]v_i[/tex]²

μ = 3·[tex]v_i[/tex]² ÷ (14.7 × D) = (10/49)·([tex]v_i[/tex]²/D)

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