The data table shows how the amplitude of a mechanical wave varies with the energy it carries. Analyze the data to identify the mathematical relationship between amplitude and energy. Use your equation to find the energy if the amplitude is 6 units. Amplitude Energy 1 unit 2 units 2 units 8 units 3 units 18 units 4 units 32 units A. 66 units B. 60 units C. 72 units D. 74 units​

Answers

Answer 1

The energy of a wave is directly proportional to the square of the amplitude of the wave.

What is the relationship between energy and amplitude?

There is direct relationship between energy of the wave and the amplitude of the wave. The energy transported by a wave is directly proportional to the square of the amplitude of the wave. This means if energy is increase the amplitude of wave becomes double and vice versa.

Energy = (amplitude)2

So we can conclude that the energy of a wave is directly proportional to the square of the amplitude of the wave.

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Answer 2

[tex]Energy = (amplitude)^{2}[/tex]

What is energy and amplitude?

Energy is define as the capacity for doing work.

Amplitude is the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position.

So , the relationship between energy of the wave and the amplitude of the wave is described as the energy transported by a wave is directly proportional to the square of the amplitude of the wave.

Here , If energy is increase the amplitude of wave becomes double.

[tex]Energy = (amplitude)^{2}[/tex]

Hence , the energy of a wave is directly proportional to the square of the amplitude of the wave.

By using the above equation if the amplitude is 6 Units then :

Energy = [tex](6)^{2}[/tex] = 36 units

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Related Questions

Suppose the resistance of a copper wire is 1.05 ohms at 30°C. Find the temperature at which the resistance becomes 1.50 ohms.​

Answers

Suppose the resistance of a copper wire is 1.05 ohms at 30°C. the temperature is mathematically given as

T=139.89

What is the temperature at which the resistance becomes 1.50 ohms.​?

Generally, the equation for the coefficient of change is mathematically given as

[tex]\mu_k= 0.2+(0.043)3\\\\\mu_k=0.2+(0.043)(4.343)[/tex]

[tex]\mu_k=0.387[/tex]

In conclusion, the Temperature of copper

[tex]R=R_0( 1+ \alpha(T-T1))[/tex]

1.5(1+0.005(T-30))

T=139.89

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An Object weighs 600N on Earth. What would its weight be on on another planet of gravitational acceleration 8N/kg?

Answers

Answer:

Correct option is A)

Weight on earth = 600N

Let g= 10m/s2 on earth

Mass on earth = 10600=60 kg

Now, since mass is a constant quantity so, it will remain 60 kg on the moon also.

Now, weight on moon = mg′

m= mass =60 kg

g′ = acc. due to gravity on moon = 61th the value on earth

So, Weight on moon = 61th of the weight on earth 

⇒ Weight on the moon =600×61=100 N

a lunar probe is moving 1670 m/s at a 73.0 angle. it needs to land on the moon 3.71 x 10^8 m away in a 46.0 direction in 8.64 x 10^4 s. what is the magnitude of the acceleration that the engine must produce?

Answers

The magnitude of the acceleration that the engine must produce is  0.065 m/s².

What is acceleration?

Acceleration is given by the ratio of Resultant or total force acting on any object and the its mass.

It can also be defined as the rate change of velocity with time.

acceleration a = (Δv) / (Δt)

Given is a lunar probe is moving 1670 m/s at a 73° angle. it needs to land on the moon  3.71 x 10⁸ m away in a 46° direction in 8.64 x 10⁴ s.

The initial velocity will be

1670 x cos (73°-46°) = 1487.981 m/s

Using the second equation of motion, we have

s = ut + 1/2 at²

The final velocity will be zero after landing on Moon.

Substituting the values, we have

3.71 x 10⁸=  1487.981 x  8.64 x 10⁴ + 1/2 a ( 8.64 x 10⁴)²

Solving the equation, we get

acceleration, a = 0.065 m/s²

Thus, the magnitude of the acceleration that the engine must produce is   0.065 m/s²

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Answer:

The direction is 30.6

Explanation:

Looking at the wave diagram which best describes the wave

Answers

Answer:

B describes the best ...

What do we generally avoid in a many-to-many junction table?

Answers

It is important to avoid an autoincrement primary key column in a many-to-many junction table.

What is a many-to-many junction table?

A many-to-many junction table is a junction table which links multiple data in one table to multiple data in another table.

Generally in a many-to-many junction table, it is important to avoid an autoincrement primary key column.

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Two cars, with the same mass and traveling at the same speed, hit large trees head-on. One car has a rigid body that undergoes little or no deformation in the collision. The other has ``crumple zones'': portions of the body designed to crumple and deform in such a collision. How does this improve the chances that the driver of the second car will survive the event

Answers

The crumple zones in the second car will improve the chance of survival of the driver because it will act as shock absorber, reducing the impact of the force on the driver.

Newton's third law of motion

According to Newton's third law of motion, action and reaction are equal and opposite.

The car with rigid body will exert maximum force to the driver while the car with crumple zone will exert lesser force to the driver since the crumple zone will act as shock absorber, reducing the impact of the force on the driver.

Thus, the crumple zones in the second car will improve the chance of survival of the driver because it will act as shock absorber, reducing the impact of the force on the driver.

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You are riding a bicycle you apply forward force of 50 n, and you and the bicycle have a combined mass of 100kg. What is the acceleration of the bicycle?

Answers

Answer:

a = 0.5m.s²

Explanation:

Fnet = m×a

50 = 100×a

a = 0.5

What did johannes kepler contribute to the study of planets? he formulated the universal law of gravitation. he identified the first moons of jupiter. he collected detailed data that led to the proposal of the heliocentric model. he provided mathematical support for the heliocentric model.

Answers

Johannes Kepler contributed to the study of planets : He provided mathematical support for the heliocentric model.

What is Kepler's first law of planetary motion?

Kepler's first law of planetary motion states that the planets revolve around the Sun in orbits elliptical in shape with the Sun at its one of the focus.

As the planets rotate around the Sun, the relative distance between the Sun and planets increases and decreases.

The heliocentric model in which the Earth and planets revolve around the Sun at the center of the universe. Johannes gave the mathematical calculations of this model.

Thus, last option is correct.

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Answer:

D

Explanation:



i will give you full point and mark you as brainiest if you help me please i need it sooner.​

Answers

The energy of the sun Is a response for the life on earth The planet might take a seat down withinside the liveable radius starting from 0. eighty-five AU to two AU.

Why large planets rotates faster?

The large the planet quicker will be the rotation speed, and therefore shortest the time to take rotate across the axis. The large planets are exceedingly greater solid whilst as compared to the small planet system.

The hazards are

• With improved size, the quantity of gravitational enchantment posed via way of means of the planet might additionally increase. This might cause attracting outer area asteroids and consequential crater impact.

• The large the size, the farther it'd be from the big name to atone for the hydrostatic balance, hence reducing the possibilities for it being an inhabitable area.

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What is bioluminescence?
A. It is when living creatures absorb light.
B. It is when living creatures reflect light.
C. It is when living creatures produce light.
D. It is when living creatures destroy light.

Answers

Pretty sure they produce light

Answer:

C.

Explanation:

Bioluminescence is the fascinating natural phenomenon by which living creatures produce light.

what kinds of investigations might have led to our current understanding of matter and energy? why is it important for scientists to use the same scientific method and consistent measurement units?

Answers

The kind of investigations might have led to our current understanding of matter and energy is research and measurement.

It is important for scientists to use the same scientific method and consistent measurement units in order to get the correct value while analayzing.

What is matter?

The matter has volume and space occupied.

When conceivable the researcher endeavors to test his speculations via painstakingly planned and controlled tests that will yield quantitative instead of subjective outcomes.

Thus, the kind of investigations might have led to our current understanding of matter and energy is research and measurement.

It is important for scientists to use the same scientific method and consistent measurement units in order to get the correct value while analayzing.

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When water vapor (a gas) starts to cool, it can
become a liquid. What causes this change in the
state of matter in water?

Answers

Answer:

This process is CONDENSATION

Explanation:

Condensation occurs when water vapour loses some of its kinetic energy to a colder body and changes into liquid state.

A boater is accompanied by a person at least 16 years of age. In michigan, what is the youngest age that this person can be and legally operate a boat powered by a motor of more than 35 hp?.

Answers

The youngest age that this person can be and legally operate a boat powered by a motor of more than 35 hp will be 12 years of age.

What is electric power?

It is the rate of the electric work done. Its unit is the watt. Horsepower is the unit of power.

A person under the age of 12 may only legally operate a boat with a motor that has more than 6 horsepower but no more than 35 horsepower

if they meet two requirements: they have a boating safety certificate, which they must have on board; and they are being closely watched by an adult who is at least 16 years old.

Hence the youngest age that this person can be and legally operate a boat powered by a motor of more than 35 hp will be 12 years of age.

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The quotient of 8.4x10° and a number n results in 5.6x 1027. What is the value of n?
1.5x10-18
O 1.5x10
O 1.5x10³
1.5x10¹8

Answers

answer: n = 1.5 x 10^-18

Where will the strongest force be excerted by the scissor blades to cut through a piece of material? Explain your answer.

Answers

Answer:

in the thick part of the scissors ✂️

Explanation:

because in physics simple machine called wedge the force applied in this thick area it have thine side used to split or piece objects

a note of frequency 200Hz has a velocity of 400m/s. what is the wavelength of the note​

Answers

Answer:

[tex]\huge\boxed{\sf \lambda = 2 m}[/tex]

Explanation:

Given data:

Frequency = f = 200 Hz

Velocity = v = 400 m/s

Required:

Wavelength = λ = ?

Formula:

v = fλ

Solution:

Put the givens in the formula

400 = (200)λ

Divide 200 to both sides

400/200 = λ

2 m = λ

λ = 2 m

[tex]\rule[225]{225}{2}[/tex]

A flywheel is rotating at 30 rev/s. What is the total angle, in radians, through which a point on the flywheel rotates in 40 s?

Answers

The total angle, in radians, through which a point on the flywheel rotates is 7540 radians

Angular motion

From the question, we are to determine the total angle in radians

Using the formula,

[tex]\omega = \frac{\theta}{t}[/tex]

Where [tex]\omega[/tex] is the angular velocity

[tex]\theta[/tex] is the angle

and t is the time

From the given information,

[tex]\omega = 30 \ rev/s[/tex]

Convert to rad/s

[tex]\omega = 30 \times 2\pi \ rad/s[/tex]

[tex]\omega = 188.496 \ rad/s[/tex]

and t = 40 s

From the formula

[tex]\omega = \frac{\theta}{t}[/tex]

[tex]\theta = \omega t[/tex]

∴ [tex]\theta = 188.496 \times 40[/tex]

θ = 7539.822 rad

θ ≅ 7540 rad

Hence, the total angle, in radians, through which a point on the flywheel rotates is 7540 radians

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Use the drop-down menus to complete the sentence.
A. object spins around its own axis, while a
object moves around another object.

Answers

Object spins around its own axis, while the object moves around another object.

What is Earth's revolution?

Earth's rotation or Earth's spin is the rotation of planet Earth around its own axis, as well as changes in the orientation of the rotation axis in space.

The continuous rotation of the Earth about its axis gives rise to the revolution of earth around the sun.

Thus, object spins around its own axis, while the object moves around another object.

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answer: rotating, revolving

26.6 00
Fig. E26.6 both meters are ide-
alized, the battery has no appre-
ciable internal resistance, and the
ammeter reads 1.15 A. (a) What
does the voltmeter read? (b) What
is the emf & of the battery?
26.7 For the circuit shown
For the circuit shown in Figure E26.6
V
45.0 Ω
25.0 Ω
ww(A)
|15.0 Ω
www
|15.0 Ω
W
www
ww
4+
35.0 = ?
10.0 Ω

Answers

a. The voltmeter reads 0.053 volts

b. The electromotive force, emf of the battery is 0. 106 volts

How to determine the voltmeter reading

a. Given the current  = 1. 15A

Voltmeter reads the voltage = V

Resistance could be gotten from the diagram = R

V = IR

To find the resistance from the structure

First, find the resistance in parallel

Resistance in parallel = 1/R1 = 1/R2 + 1/R3 = 1/25 + 1/15 + 1/15 = 0. 17 Ohms

Now, find the resistance in series

Resistance in series = R1 + R2 + R3 = 45 + 0. 17 + 10 = 55. 17 Ohms

Finally, the  resistance in parallel = 1/35 + 1/55. 17 = 0. 028 + 0. 018 = 0. 046 Ohms

Substitute values into the equation

V = IR

V = 1. 15 * 0. 046

V = 0. 053 Volts

b. To find the Emf, use the formula

Emf =  V + Ir

Substitute the values into the formula

Emf = 0. 053 + 1.15 * 0.046

Emf  = 0. 053 + 0. 0529

Emf = 0. 106 volts

Therefore, the voltmeter reads 0.053 volts and the electromotive force of the battery us 0. 106 volts

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which of the following best decribes ​

Answers

A b or c I love d n me l101

An extraterrestrial civilisation lives on a planet with a very elliptical orbit. Additionally, thousands of large asteroids orbit their solar system. The civilisation uses the light from their home star to count the number of asteroids in the direct line between the star and their planet. For a first measurement, they count the asteroids for 60 days and detect 1000 objects. Several months later, they start a second measurement: This time, they count for 80 days. How many asteroids will they detect during the second measurement? Explain why. (Note: Assume that the asteroids are homogeneously distributed in their solar system.)





i will mark as a brainiest please help me as soon ​

Answers

For Kepler's third law this can be solved as normal ratios

1000/60=x/80100/6=x/806x=8000x=8000/6x=1333.34asteroids

The number of asteroids which will be detected during the second measurement is 1333.34.

What is an Asteroid?

These are referred to objects which revolve round the sun and are characterized by their small rocky shape.

Kepler's third law can be used to solved it using normal ratios

1000/60=x/80

100/6 = x/80

6x = 8000

x= 8000/6

x=1333.34asteroids

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The actual mass of a sheet of copy paper is 4.5 g. What must be the actual mass of a 1 cm² plece of copy paper?
Show your calculations.

Answers

The actual mass of a 1 cm² piece of copy paper is determined as 0.0074 g.

Area of the sheet of paper in square centimeters

Area = Length x Width

Area = (11 x 2.54 cm) x (8.5 x 2.54 cm)

Area = 603.22 cm²

Actual mass of the sheet of paper

Mass = area density/area

Mass = (4.5 gcm²)/(603.22 cm²)

Mass = 0.0074 g

The complete question is below:

A sheet of 8.5 inch by 11inch paper has a mass of 4.50 grams one square centimeter , 1cm2 of that sheet of paper will have a mass closets to ____grams ( (hint use 1inch = 2.54 centimeters and area = length times)

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suggest why it is better to use light gates and a computer than to use a stopwatch and a ruler to measure the speed of a toy car

Answers

Answer:

light gates are more reliable

Explanation:

when using a manual stop watch it's difficult to stop it at an exact time. light gates able to detect when an object passes through a 'gate' with the infrared transmitter and receiver. (sorry for my explanation)

The equation to calculate density is D = m/v. For a liquid substance, which item increases as heat is applied?

volume
density
mass
density and volume

Answers

Answer:

See below

Explanation:

Things generally expand when heated ....so volume increases while mass remains the same .....this will cause the value of density to decrease  

what is the angular displacement of a minute hand of a clock after 3 minutes?​

Answers

Answer:

π/10 rads

Explanation:

It takes an hour (60 minutes) for the minute's hand to turn a full circle or achieve an angular rotation of

2πl rad.

Now, number of periods of 3 minutes in an hour is;

Number of periods = 60/3 = 20 periods

Thus, 3 minutes rotation accounts for 1/20 of 2π the rotation of the minute's hand in an hour.

Thus;

Angular displacement = (1/20) * 2π = π/10 rads

the 12-lead ecg shows st-segment elevation in leads v2 and v3 of ≥ 0.2 mv. what is this finding indicative of?

Answers

The 12-lead ECG test that shows st-segment elevation in leads v2 and v3 of ≥ 0.2 mv, could be a diagnostic for myocardial infarction.

What is 12 - lead ECG test?

A 12-lead electrocardiogram (ECG) is a medical test that is recorded using leads, or nodes, attached to the body.

Electrocardiograms, sometimes referred to as ECGs, capture the electrical activity of the heart and transfer it to graphed paper.

When a 12-lead ECG shows st-segment elevation in leads v2 and v3 of ≥ 0.2 mv, it could be a diagnostic for myocardial infarction.

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Which of the objects around you is following Newton's first law of motion?

Answers

The object which follows Newton's first law of motion around me is; my scientific calculator.

What is the Newton's first law of motion?

The concept which describes objects as forever stationary except acted upon by external forces can be attributed to.the Newton's first law of motion. The postulation of the law is that; An object remains at rest if at rest, or if in motion, remains in motion at a constant velocity unless acted on by a net external force. Hence, except acted upon by an external force(myself), my calculator will remain at rest.

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The objects around us that obeys newton's first law of motion are

A book placed on the top of a table,A moving car,A standing fan,A building.

Newton's first law of motion

Newton's first law of motion states that every object will continue to be in its state of rest on remain in uniform motion except it is acted upon by an external force.

Newton's first law of motion is also called the law of inertia

Examples of  newton's first law of motion are

A book placed on the top of a tableA moving car,

etc.

Hence, The objects around us that obeys newton's first law of motion are

A book placed on the top of a table,A moving car,A standing fan,A building.

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A force of 5N produces an acceleration of 8m/s2 on mass m1, and an acceleration of 24m/s2 on a mass m2. What acceleration would the same force provide if both the masses are tied together.

Answers

The acceleration that the same force will provide if both masses are tied together is; 6.0 m/s².

How to find the Acceleration?

We are given;

Force; F = 5 N

Acceleration of the first mass, a₁ = 8.0 m/s²

Acceleration of the second mass, a₂ = 24 m/s²

Formula for force is;

F = ma

Let us find both masses; m₁ and m₂.

m₁ = F/a₁

m₂ = F/a₂

Thus;

m₁ = 5/8 kg

m₂ = 5/24 kg

Total mass is; m = m₁ + m₂

m = 5/8 + 5/24

m = 15 + 5/24

m = 20/24 kg

Thus, acceleration if they are both tied together is;

a = F/m

a = 5/(20/24)

a = 6.0 m/s².

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What change occurs to the mass of an object when an unbalanced force is applied to it

Answers

the mass of an object always stays the same since it is really just the amount of matter in an object so no matter the force applied, as long as the object does not lose or gain matter, the object stays the same

The Voyager spacecraft is moving at 17 000 m/s. How far will it travel in one year? Give your answer in km. ​

Answers

Explanation:

first change m/s to km/hr and time 1 year to hour b/c we are asked the to give in km. so,

v=17,000 m/s = 17000×3600/1000 = 61,200 km/hr

t= 1 year= 365 days =365day×24 hr/day = 8,760hr

therefore, V = s/t from this s = v×t =61200×8760 =536,112,000 Km

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