A sound wave with amplitude xo is measured by an observer to have an intensity of I0 when the observer is standing 4. 0 meters from the source. Which best describes the amplitude of a sound wave and distance from the source where it will be measured with an intensity of 16Io? Increase the amplitude to 8xo and stand 2 meters from the source. Increase the amplitude to 4xo and stand 10 meters from the source. Increase the amplitude to 2xo and stand 2 meters from the source. Increase the amplitude to 4xo and stand 8 meters from the source

Answers

Answer 1

Increase the amplitude to 4xo and stand 8 meters from the source. A sound wave with amplitude xo is measured by an observer to have an intensity of I0 when the observer is standing 4. 0 meters from the source.

What is source?

Source is a term used to describe the origin or starting point of something. It can refer to the origin or beginning of a physical object or concept, like the source of a river or the source of a new idea. It can also refer to the person or thing that supplies or produces something, such as the source of a story or the source of a product.

In science, source is used to describe the origin or cause of something, such as the source of an infection or the source of an environmental pollutant. Source, in its various forms, is a key concept in many fields, from engineering and science to business and economics.

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Answer 2

Answer:

C.

Explanation:

Increase the amplitude to 2xo and stand 2 meters from the source.


Related Questions

Calculate:

a) Frequency of the wave produced

b) wavelength of the wave produced

c) The amplitude of a wave is now doubled.What is the value in meters, of the new amplitude of the wave​

Answers

As the frequency decreases, the wavelength gets longer.

What happens if you double the amplitude of a wave?

The amplitude of a wave determines its loudness. The loudness increases as the amplitude increases. The amplitude of a sound is exactly proportional to its loudness. When the amplitude is twice, the loudness is multiplied by four. If the wavelength and speed of a wave are known, they may be used to calculate the frequency using the equation f=v f = v, where is the wavelength in meters and v is the speed of the wave in meters per second. This also provides the wave's frequency in Hertz.

The height of a wave is measured from the highest point on the wave (peak or crest) to the lowest point on the wave.

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the three different gas-law processes described in this video are

Answers

Constant volume, constant pressure, and constant temperature are the three gas-law processes described in this video.

gas law, which links a gas's pressure, volume, and temperature. Robert Boyle's law says that, under constant temperature, a gas's pressure P varies inversely with its volume V, or PV = k, where k is a constant. The volume V of a gas is precisely proportional to its absolute (Kelvin) temperature T at constant pressure, or V/T = k, according to Charles's law, which bears the name of J.-A.-C. Charles (1746-1823). These two equations can be combined to create the ideal gas law, a single generalization of the behaviour of gases known as an equation of state, PV = nRT, where n is the number of gram-moles of gas and R is known as the universal gas constant.

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Is the acceleration of a pendulum ever zero?

Answers

A pendulums acceleration can only be zero when both its velocity and height of its arc are both zero

A weight hanging from a pivot such that it may freely swing is called a pendulum [1] A pendulum is subject to a restoring force from gravity when it is sideways moved from its resting equilibrium position. This force accelerates the pendulum back toward the equilibrium position When the pendulum is freed, the restoring force acting on its mass causes it to oscillate, swinging back and forth about its equilibrium point. The period is the length of time needed for one full cycle or a left swing and a right swing The period is influenced by the pendulum's length and to a lesser extent by the amplitude or swing's width

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A ball falls down 30 meters from the top of a building. If the ball

weighed 1. 2 kg, what is the gravitational potential energy lost

by the ball? Estimate g as 9. 81.

Answers

The potential energy lost by the ball is 353.16 J, if the mass of the ball is 1.2 kg and the height from which it drops is 30 m.

Actually energy lost is not scientifically correct to say here, because energy never lost or destroyed, rather it converts from one form to another. Potential energy does not get lost here, but it converts into kinetic energy or heat energy or both.

Potential energy is the energy possessed by an object due to its position relative to the other objects. Potential energy(P) is mathematically described as follows:

P = mgh

Where m is mass, g is acceleration due to gravity, and h is the height of the object. So,

P = 1.2 × 9.81 × 30

P = 353.16 Joules

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if your weight on the earth is 850 n, but only 255 n on another planet. what is the best estimate of the gravitational acceleration on that planet?

Answers

The best estimate of gravitational acceleration on that planet is 0.3 times the gravitational acceleration on Earth.

What is the gravitational field strength?

The gravitational field strength, also called acceleration due to gravity or gravitational acceleration, is the gravitational force that acts on a mass of object. It can be expressed as

g = F/m

Where

g = gravitational field strength (N/kg or m/s²)F = gravitational force or weight (N)m = mass of object (kg)

If your weight on Earth is 850 N, it is 255 N on other planet.

Find the best estimate of the gravitational acceleration on the other planet!

Let's say

Weight on Earth = W₁Weight on other planet = W₂Gravitational acceleration on Earth = g₁Gravitational acceleration on the other planet = g₂

From the explanation above, the formula can be written as

g = W/m

The mass of object is always the same in every where it is. So,

m₁ = m₂

850/g₁ = 255/g₂

g₂ = 255g₁/850

g₂ = 0.3g₁

Hence, the gravitational acceleration on the other planet is 0.3 times the gravitational acceleration on Earth.

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An object travels around a circular path 2.0 times in 8.0 seconds. What is the frequency and period of the motion?

Answers

Answer:

Frequency is the number of revolutions done per second. If one period is 30 seconds, then it takes 30 seconds to complete a single revolution.

So, how many revolutions occur in 1 second?  130

That’s your frequency. It should be obvious that this is the inverse of period.

On another note, angular frequency is the angular distance traveled per second, not revolutions. In a circle, each revolution is a full rotation about a circle, which is  2π

 (radians) Hence the angular frequency, given the above period, is the frequency multiplied by  2π

, since one revolution translates to  2π

 units of angular distance.

In summary, if we call  f

 the frequency (revolutions per second),  ω

 the angular frequency (radians per second) and  T

 your period (seconds per revolution), we have the following relations:

T=1f=2πω

ω=2πf=2πT

Explanation:

How much is in a stack of nickels?

Answers

A nickel is about 1.95 mm thick

1 mm = 0.0393701 inches

0.0393701/12 = 25.39998 nickels per inch round to 25.4

25.4 x 12=304.8 nickels per foot,

round off to 305

305 x 0.05 = 15.25

a foot of nickels is worth approximately $15.25

What is nickel

Nickel is a metallic chemical element in the periodic table which has the symbol Ni and atomic number 28. Nickel is a silvery-white metal with a slightly golden tinge. Nickel is a transition metal, and has hard and ductile properties. Nickel also belongs to the iron-cobalt group of metals, which can produce very valuable alloys. Pure nickel is in powder form to maximize surface area reactive, has significant chemical activity, but large pieces react slowly with air under normal conditions because an oxidized layer forms on the surface and prevents further corrosion (passivation). However, pure nickel is only found in the Earth's crust in small quantities, usually in ultrabasic rocks, and in iron meteorites or siderites that were not exposed to oxygen outside the Earth's atmosphere.

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Two horizontal parallel plates have equally spaced vectors going from the top plate to the bottom plate labeled e. there is also a delta v between the plates. the electric field inside a battery generates an electric potential difference of 12 v. the plates are separated by a distance of 0.25 m. what is the strength of the electric field? the strength of the electric field is .

Answers

The strength of the electric field is 48 N/C.

The electric field (E) is the force exerted per unit charge. It is calculated by dividing the electric potential difference (ΔV) by the distance between the plates (d). In this case, the electric potential difference is 12 V and the distance between the plates is 0.25 m. Therefore, the electric field is

               E = ΔV/d

               E=  12 V / 0.25 m

               E= 48 N/C.

The electric field is a vector and it points in the direction of the force that would be exerted on a positive test charge placed in the field. The direction of the electric field vectors is from the positive plate to the negative plate.

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5260J of energy was lost when a 1Kg unknown substance is dropped in water and cooled 8.2K. What is the probable substance?

Answers

The probable substance that was dropped in water and lost 5260J of energy is calsium.

How to calculate specific heat capacity?

Specific heat is the heat required to raise the temperature of the unit mass of a given substance by a given amount (usually one degree).

According to this question, 5260J of energy was lost when a 1kg (1000g) unknown substance is dropped in water and cooled 8.2K. The specific heat of the substance can be calculated as follows:

Q = mc∆T

Where;

Q = amount of heat absorbed or releasedm = massc = specific heat∆T = change in temperature

5260 = 1000 × c × 8.2

5260 = 8200c

c = 0.641 J/gK

Therefore, based on the above specific heat of the substance, the substance can be identified as calsium.

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What is the volume of different objects around your house? Nearly everything sold, from juice to dish soap has the volume identified on the packaging. The volume of three objects is given in liters. Convert liters (L) to the other units as indicated below. Show your work!
Object 1:
• What is it? Can of Soda
• Volume in liters (L) = 0.35 L
• Volume in milliliters (ml) =
• Volume in kiloliters (kl) =
Object 2:
• What is it? Gallon of milk
• Volume in liters (L) = 3,8 L
• Volume in milliliters (ml) =
• Volume in Kiloliters (KI) =
Object 3:
• What is it? Bottle of shampoo
• Volume in liters (L) = 0,5 L
• Volume in milliliters (ml) =
• Volume in kiloliters (kl)

Answers

To converts liters to mililiters we need to multiply by 1000 and to convert to Kiloliter we need to divide by 1000.

What is conversion ?

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

To create a unit conversion issue where one (or more) units cancel out until just the desired unit is left, follow these steps:

Find out what kind of unit you have.Determine the desired unit.Choose the proper unit conversion factor(s).unit cancellation and math computations (e.g., multiply, divide).

The fundamental rule is to multiply when converting from a bigger unit to a smaller unit. Divide if you need to go from a smaller to a larger unit. You will reduce the number, and you are already aware that division is all about reducing numbers.

Object 1

Volume in liters(l) = .35 L

Volume in Mililiters (ml) = .35 * 1000 = 350 ml

Volume in Kiloliters (kl) = 0.35/1000 = 3.5 * 10⁻⁴ kl

Object 2

Volume in liters(l) = 3.8 L

Volume in Mililiters (ml) = 3.8 * 1000 = 3800 ml

Volume in Kiloliters (kl) = 3.8/1000 = 3.8 * 10⁻³ kl

Object 3

Volume in liters(l) = 0.5 L

Volume in Mililiters (ml) = .5 * 1000 = 500 ml

Volume in Kiloliters (kl) = 0.5/1000 = 5 * 10⁻⁴ kl

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What is the kinetic energy of a 10kg 10 kg object moving at 2.0m s 2.0 m s?

Answers

The kinetic energy of a 10kg object moving at 2.0m/s is 20 joule.

What is kinetic energy?

According to the definition of kinetic energy in physics, it is the amount of work that an item may accomplish while in motion. As a scalar quantity, kinetic energy can only be fully defined by its magnitude.

Mass of the object = 10 kg.

Speed of the object = 2.0 m/s.

Hence, kinetic energy of the object = 1/2 × mass × speed²

= 1/2 × 10 kg ×( 2.0 m/s)²

= 20 Joule.

So, kinetic energy of the object is 20 Joule.

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A car crosses the start line with an initial velocity of 7 m/s. After 12 seconds, the car reaches a position of 105 m. From this information, which best describes its motion?

Group of answer choices

It speeds up and then slows down.

It is moving with a negative acceleration.

It is moving with a constant velocity.

It is moving with a positive acceleration.

Answers

Its (4) moving with a positive acceleration

A simple pendulum consists of a 0. 35 kg spherical mass attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a frequency of 2 Hz. What frequency would have resulted if a 0. 50 kg mass had been attached to the string instead

Answers

The Frequency of the resultant pendulum will also be 2 Hz as f does not depend on mass.

The Oscillation frequency of a pendulum depends on 3 things

1. Lenght of string (L).

2. Gravitational pull which is constant for a  planet for earth it 9.8 m/s2.

3. Pie (π)  (Which is again Constant 3.14....)

And this case both the things, length, and g(Gravitational pull) are constant so the frequency will also be the same.

As T = 2π√(L/g) ........ T (Time)

And Frequency  = 1/T so it only required the length of string on which the mass is suspended so it will be constant as the length is taken as same as before.

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How is speed calculated?multiply velocity by displacementdivide velocity by displacementmultiply distance by timedivide distance by time.

Answers

Speed is calculated by dividing distance by time.

Speed is a measure of how fast an object is moving, and is typically measured in units such as meters per second (m/s) or miles per hour (mph). It is calculated by taking the distance an object has traveled and dividing it by the amount of time it took to travel that distance. This is known as the "average speed" of an object.

Speed can also be represented as velocity, which is the rate of change of an object's position, and is a vector quantity, meaning it has both a magnitude and a direction. To calculate velocity, the displacement (change in position) is divided by the time elapsed. Both speed and velocity are fundamental concepts in physics and are used in many areas of study, including mechanics, thermodynamics, and astronomy.

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Your question seems incomplete, but I suppose the question was:

"How is speed calculated?

multiply velocity by displacement

divide velocity by displacement

multiply distance by time

divide distance by time."

Answer:  D.) divide distance by time.

Explanation:

Correct on edge;)

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A coin rests on a book. The book is tilted until the coin just starts to slide. The angle at which the coin starts to slide is 30^0 What is the coefficient of static friction between the coin and the book? show all work

Answers

To remedy this issue, we create the illustrated free-body diagram, which shows all forces acting on the coin. The force along the incline balances out and acts in the opposite direction to the friction just before the coin begins to slide.

How can you determine the sliding friction?

When the frictional force's maximum value, F = R = mg sin, is reached, the sliding point is reached.

Does sliding cause friction?

One sort of frictional motion that occurs when two surfaces come into contact is sliding.

f=mgsinθ.

Friction is the normal force multiplied by the coefficient of friction: f=Nμs.

Equating these two, we have mgcosθ⋅

μs=mgsinθ

Solving for μs, we have μs=sinθcosθ,

=tanθ.

Substituting the angle of 17∘ in the equation, we have

μs=tan30∘,

=1/√3

which is the coefficient of static friction.

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A 5. 0kg box is at rest on a table. The static friction coefficient μs between the box and table is 0. 50, and the kinetic friction coefficient μk is 0. 30. Then, a 30N horizontal force is applied to the box. What is the best estimate of the magnitude of the box's acceleration?

Answers

The acceleration of the box is best calculated to be equal to 3.06m/s²

How can I calculate the acceleration of the box?

We would first compute the magnitude of the kinetic frictional force in order to determine the size of the acceleration of this box.

The following equation can be used to determine the kinetic frictional force acting on a physical body mathematically:

F = μkN = μk(mg)

F = 0.30 × 5.0 × 9.81

F = 14.7Newton.

Newton's second law of motion is used to calculate the net force, which is as follows:

∑Fx = Applied force - kinetic frictional force = ma

Acceleration, a = [Applied force - kinetic frictional force]/m

Acceleration, a = [30 - 14.7]/5

Acceleration, a = 15.3/5

Acceleration, a = 3.06m/s²

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How does the movement of water molecules change when water goes from liquid to gas ?

Answers

When water is heated, it evaporates. The molecules move and vibrate so quickly that they escape into the atmosphere as molecules of water vapor. Evaporation is a very important part of the water cycle.

What is evaporation?

Evaporation is a type of vaporization that occurs at the surface of a liquid as it changes to a gas phase.A high concentration of the evaporating substance in the surrounding gas significantly slows evaporation, for example when humidity affects the evaporation rate of water.When liquid molecules collide, they transfer energy to each other as they collide. When a molecule near the surface absorbs energy to overcome the pressure, it escapes and enters the surrounding air as a gas.When evaporation occurs, the energy removed from the evaporated liquid lowers the temperature of the liquid, resulting in evaporative cooling.

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At what point in its motion is the KE of a pendulum bob at a maximum? At what point is its PE at a maximum? When its KE is at half its maximum value, how much PE does it have relative to its PE at the center of the swing?

Answers

At the bottom of its swing, where its potential energy is minimum, a pendulum's KE reaches its maximum value. When a pendulum reaches the top of its swing and momentarily stops, its PE is at its maximum and its KE is zero.

What is the pendulum's highest possible kinetic energy?

At equilibrium, the velocity is at its highest point, and at the extreme, it is at its lowest. As a result, the mean position has the highest kinetic energy.

Position C has the highest kinetic energy; the lowest position has the highest kinetic energy. All of the potential energy from the beginning has been converted into kinetic energy by the time the bob reaches C.

The extreme position of a pendulum causes its velocity to become zero. The extreme position therefore has no kinetic energy.

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What is the kinetic energy of a 5.0 kg?

Answers

The kinetic energy of a 5.0 kg is 2.5v² Joule. We assume that the object is moving.

What is kinetic energy?

Kinetic energy is the energy of an object due to its motion. So, if an object is moving, it has kinetic energy.

The energy is equal to half mass of an object multiplied by the square of its velocity. The statement can be expressed as

KE = ½ mv²

Where

KE = kinetic energy (J)m = mass of object (kg)v = velocity of object (m/s)

Find the kinetic energy of an object with a mass of 5.0 kg!

We have

m = 5.0 kg

When the object is moving, it has

v = velocity of the object

It would have the kinetic energy of

KE = ½ mv²

KE = ½ (5.0)v²

KE = 2.5v² Joule

Hence, a 5.0 kg of object will have the kinetic energy of 2.5v² Joule.

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A 2. 00-m long piano wire with a mass per unit length of 12. 0 g/m is under a tension of 8. 00 kn. What is the frequency of the fundamental mode?.

Answers

The frequency of the fundamental mode of the piano wire is 166.67 Hz.

To determine the frequency of the fundamental mode of a piano wire, we can use the equation:

f = (1 / 2L) * (T / μ)^0.5

where f is the frequency of the fundamental mode, L is the length of the wire, T is the tension in the wire, and μ is the mass per unit length of the wire.

Given that the wire is 2.00 m long, has a mass per unit length of 12.0 g/m and a tension of 8.00 kn, we can substitute these values into the equation:f = (1 / 2 * 2.00 m) * (8.00 kn / (12.0 g/m))^0.5

To solve this equation we need to convert the units of tension to N and the mass per unit length to kg/m.

The tension is given in kn and it needs to be converted to N by multiplying it by 1000, the mass per unit length is given in g/m and it needs to be converted to kg/m by multiplying it by 10^-3.

f = (1 / 2 * 2.00 m) * (8000 N / (12*10^-3 kg/m))^0.5

Now we can solve the equation:

f = (1 / 2 * 2.00 m) * (666.67 N/kg)^0.5f = (1 / 4) * (666.67 N/kg)^0.5

f = 166.67 (N/kg)^0.5

f = 166.67 (s^-1)^0.5

f = 166.67 Hz

Therefore, the frequency of the fundamental mode of the piano wire is 166.67 Hz.

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Select the correct answer. when would the velocity of a wave traveling in a medium change? a. only if a property of the wave changes b. only if a property of the medium changes c. if a property of both the wave and the medium changes d. never

Answers

The velocity of a wave traveling in a medium change if a property of both the wave and the medium changes. The correct answer is c.

The velocity of a wave is determined by the properties of both the wave and the medium it is traveling through. For example, the velocity of a light wave in a vacuum is constant, but it changes when it passes through a medium such as glass or water.

Similarly, the velocity of a sound wave in air will be affected by changes in temperature and humidity. So, both the wave's properties and medium properties are important to determine the velocity of wave.

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Relative cooling rates of igneous intrusive o ms can be estimated by comparing rocks
answere : Crystal sizes

Answers

Relative cooling rates of igneous intrusive can be estimated by comparing rocks  Crystal sizes.

The size of the crystals within an igneous rock is a sign of the conditions that led to its formation. An igneous rock with large crystals typically indicates that the rock formed deep within the Earth because it is frequently warmer there than close to the surface. They are known as intrusive rocks and exhibit phaneritic textures, which derive from the Greek word phanerous, which means visible. Similar to this, a rock with tiny crystals likely originated at the surface or not far from it and cooled swiftly. These rocks have an aphanitic texture, which comes from the Greek words "a-" for not and "phanerous." They are referred to as extrusive rocks. Additionally, some magmas cool so quickly that no crystals form; in these cases, we refer to the magmas as having a hyaline texture (from the Greek "hyalis," which means glass).

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How are stars important to the Milky Way?
How has the knowledge and perception of the universe changed over the past century?
What effect does dark energy have on the universe?
What is another metaphor (aside from the fact that a piano can only produce certain notes) that could help someone understand energy quantization at the atomic level? Explain your answer.
What do scientists believe may be the fate of the universe? Which theory do you feel is the better explanation of what may happen? Why?

Answers

Stars are important because it gives direction to the people.

We know that our universe is constantly changing.

The effect of dark energy have on the universe is that it accelerate the expansion of the universe.

The stars and galaxies will eventually exhaust their energy and the end will be in the 'Big Chill'.

How are stars important?

The stars are so important because they have helped humans navigate. When it was dark these stars would light up the sky giving light to people. Stars are very important for human survival because they make possible life on Earth.

The perception of the universe has changed over the past century because 100 years ago the universe was viewed as unchanging but now we understand that our universe is changing constantly.

The dark energy does not have any gravitational effects, but it has a global effect on the universe which leads to a repulsive force that tends to speedup the expansion of the universe.

As the Universe continues to expand, all the stars and galaxies will eventually loses their energy and the Universe will eventually cool down results in the 'Big Chill'.

So we can conclude that stars beautifies the universe with its lightening effect.

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a pebble is dropped from rest from the top of a tall cliff and falls 94.9 m after 4.4 s has elapsed. how much farther does it drop in the next 8.8 s?

Answers

The pebble drops 758.9 m in the next 8.8 s. The result is obtained by using the equation in uniformly accelerated motion.

What are the equation in uniformly accelerated motion?

The equations apply in uniformly accelerated motion in vertical dimension are

v₁ = v₀ + gt

v₁² = v₀² + 2gh

h  = v₀t + ½ gt²

Where

v₀ = initial velocityv₁ = final velocityg = acceleration due to gravityt = timeh = height of object

A pebble is dropped from rest from the top of a tall cliff. It falls 94.9 m after 4.4 s and is still falling for 8.8 s. Find how much farther it drops!

See the illustration picture for a pebble dropping in the attachment!

We use g = 9.8 m/s².

The total time is 4.4 + 8.8 = 13.2 s.

The initial velocity of the pebble dropping is 0. So, v₀ = 0.

Using one of the above equations, we get the height.

h  = v₀t + ½ gt²

h  = 0 + ½ (9.8)(13.2)²

h  = ½ (9.8)(13.2)²

h = 853,8 m

The next 8.8 s, the pebble will fall

h₁ = h - 94.9

h₁ = 853.8 - 94.9

h₁ = 758.9 m

Hence, in the next 8.8 s, the pebble will drop 758.9 m.

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Abed uses a force of 1 newton to slide a salt shaker 1 metre across a table. How many newton metres of work has he done?.

Answers

Abed uses a force of 1 newton to slide a salt shaker 1 meter across a table, so the work done here is 1 joule.

A newton is the SI unit of force. A joule is the SI unit of energy. Force multiplied by the displacement of the object by the impact of the force gives energy. So,

Energy =Force×Displacement . So if the force exerted is 1 newton and the displacement is 1 meter then the amount of energy wasted is 1 joule of energy. W=F×D, W=1N×1m=1 Joule. Hence work done is 1 joule.

The work-energy concept says that work is completed when there is a transfer of energy.

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suppose you have a line graph with kilometers on the y-axis and minutes on the x-axis. if your line indicates that in 2.0 min you travel 0.4 km and in 5.0 min you travel 1.0 km. what is the slope of the line

Answers

a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

What is Graph?

Here, for instance, we can plot a graph showing the type and quantity of school supplies used by pupils in a class based on the data provided below.

Each supply is first counted, and the data is then shown in a table with specific colors in a logical order.

The term "pictograph" refers to the visual depiction of information. Each graphic represents a specified number of objects. To show how many cricket bats a store sold during a certain week, for instance, you could include a picture of a cricket bat.

Therefore, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

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a) is the buoyant force a conservative force? (b) is a tial energy associated with the buoyant force? (c) your answers to parts (a) and (b).

Answers

(a) No, the buoyant force is not a conservative force. (b) No, there is no potential energy associated with the buoyant force. (c) No, the buoyant force is not a conservative force and there is no potential energy associated with the buoyant force.

The buoyant force is a non-conservative force, which means that it does not obey the law of conservation of energy. This means that the energy associated with the buoyant force is not stored and can be dissipated by doing work, such as when a submerged object is pushed upward by the buoyant force. As such, there is no potential energy associated with the buoyant force, and thus the answer to part (b) is no.

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(a) a space vehicle is launched vertically upward from the earth's surface with an initial speed of 7.11 km/s, which is less than the escape speed of 11.2 km/s. what maximum height does it attain?

Answers

The maximum height would be -3818.75 km. As the space vehicle is launched vertically upward, the maximum height is negative as it never reaches that height.

Height refers to the distance above a reference point, typically sea level or the surface of the Earth. In the context of the problem provided, the height being referred to is the distance above the surface of the Earth that the space vehicle reaches at its highest point during its flight.

The maximum height attained by the space vehicle can be determined using the equation:

h =[tex](v^2 - v_e^2) / (2g)[/tex]

where h is the maximum height, v is the initial velocity, v_e is the escape velocity, and g is the acceleration due to gravity (approximately [tex]9.8 m/s^2)[/tex].

Plugging in the given values:

h = [tex](7.11 km/s)^2 - (11.2 km/s)^2 / (2*9.8 m/s^2)[/tex]

Converting the velocity in km/s to m/s and solving the equation:

h = [tex](7,110 m/s)^2 - (11,200 m/s)^2 / (2*9.8 m/s^2)[/tex]

h = [tex](50,521,000 m^2/s^2) - (125,440,000 m^2/s^2) / (19.6 m/s^2)[/tex]

h = -[tex]74,919,000 m^2/s^2 / 19.6 m/s^2[/tex]

h = -3818.75 km

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two problems please help

1. Suppose that two objects attract each other with a gravitational force of 16 units. If the mass of one of the objects was doubled, and if the distance between the objects remained the same, then what would be the new gravitational force of attraction between the two objects?

2. Suppose that two objects attract each other with a gravitational force of 16 units. If the mass of both objects was quintupled (x5), and if the distance between the objects remained the same, then what would be the new gravitational force of attraction between the two objects?

Answers

1. The new gravitational force of attraction between the two objects is 32 units

2. The new gravitational force of attraction between the two objects is 400 units

1. How do I determine the new gravitational force?

First, we shall obtain an expression for the initial gravitational force between the objects. Details below:

Mass of 1st object (M₁) = M₁Mass of 2nd object (M₂) = M₂Gravitational constant (G) = GDistance apart (r) = rInitial gravitational force (F) = 16 units

F = GM₁M₂ / r²

16 = GM₁M₂ / r²

Finall, we shall determine the new gravitational force. The is illustrated below:

Mass of 1st object (M₁) = 2M₁Mass of 2nd object (M₂) = M₂Gravitational constant (G) = GDistance apart (r) = rNew gravitational force (F) =?

F = GM₁M₂ / r²

F = (G × 2M₁ × M₂) / r²

F = 2GM₁M₂ / r²

But,

16 = GM₁M₂ / r²

Thus

F = 2 × 16

F = 32 units

Thus, we can conclude that the new gravitational force is 32 units

2. How do I determine the new gravitational force?

First, we shall obtain an expression for the initial gravitational force between the objects. Details below:

Mass of 1st object (M₁) = M₁Mass of 2nd object (M₂) = M₂Gravitational constant (G) = GDistance apart (r) = rInitial gravitational force (F) = 16 units

F = GM₁M₂ / r²

16 = GM₁M₂ / r²

Finall, we shall determine the new gravitational force. The is illustrated below:

Mass of 1st object (M₁) = 5M₁Mass of 2nd object (M₂) = 5M₂Gravitational constant (G) = GDistance apart (r) = rNew gravitational force (F) =?

F = GM₁M₂ / r²

F = (G × 5M₁ × 5M₂) / r²

F = 25GM₁M₂ / r²

But,

16 = GM₁M₂ / r²

Thus

F = 25 × 16

F = 400 units

Thus, we can conclude that the new gravitational force is 400 units

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Blocks A and B oscillate at the ends of identical springs. The period of B’s oscillation is twice as long as that of A’s. How many times more massive is block B than block A?

Answers

The period of oscillation is the time it takes for an object to complete one full oscillation, and it is inversely proportional to the square root of the spring constant and directly proportional to the square root of the mass of the object. The period of oscillation is given by the formula T = 2π √(m/k) where T is the period, m is the mass of the object, and k is the spring constant.

Let's assume that the period of A's oscillation is T1 and the period of B's oscillation is T2. From the problem statement, we know that T2 = 2T1. Using the formula for the period of oscillation, we can write:

T2 = 2π √(m2/k) = 2 * 2π √(m1/k) = 2T1 = 2π √(m1/k)

Dividing the equation T2 = 2T1 by T1, we get T2/T1 = 2

So m2/m1 = (k*(T2/T1)^2) = (k*2^2) = 4k

Therefore, block B is 4 times more massive than block A.

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