During an ultrasound, sound waves are sent by a transducer through muscle tissue at a speed of 1,300 m/s. Some of the sound waves are reflected from a metal fragment 5.0 cm into the muscle tissue. How long did it take the transducer to detect the reflected waves from the metal fragment after they were first emitted?

0.26 seconds
39 seconds
4.6 E−5 seconds
7.7E−5 seconds

Answers

Answer 1
To calculate the time it took for the reflected waves to be detected, we can use the formula:

time = distance / speed

where distance is the round-trip distance traveled by the sound waves (i.e., twice the distance from the transducer to the metal fragment) and speed is the speed of sound in muscle tissue.

The round-trip distance traveled by the sound waves is:

2 * 5.0 cm = 10.0 cm = 0.1 m

The speed of sound in muscle tissue is given as 1,300 m/s.

Therefore, the time it took for the reflected waves to be detected is:

time = distance / speed = 0.1 m / 1,300 m/s = 7.7E−5 seconds

So the answer is 7.7E−5 seconds (option D).
Answer 2
Answer:

(d) 7.7E−5 seconds

To calculate the time it takes for the reflected waves to return to the transducer, we can use the formula:

time = distance / speed

The distance the sound waves travel is twice the depth of the metal fragment, since they have to travel to the fragment and then back to the transducer. Therefore, the distance traveled by the sound waves is:

distance = 2 x 5.0 cm = 0.1 m

The speed of the sound waves in muscle tissue is 1,300 m/s. Therefore, the time taken for the waves to travel this distance is:

time = distance / speed = 0.1 m / 1,300 m/s = 7.7E−5 seconds

Therefore, the transducer takes 7.7E−5 seconds to detect the reflected waves from the metal fragment after they were first emitted.

The correct answer is (d) 7.7E−5 seconds.

Related Questions

What is the definition of physical activity?
A.
a movement that stimulates your respiratory system
B.
a movement that causes perspiration
C.
a movement that results in the body’s use of energy
D.
a movement that requires little effort

Answers

Answer: The answer is C

Explanation: because I got it correct

C. A movement that results in the body's use of energy.

WHO has defined physical activity as any bodily movement that requires expenditure of energy.

Physical activity includes both exercise as well as integrated activities of one's daily routine.

To learn more about Physical activity

https://brainly.com/question/29313988

1) Three masses hang about a 3 meter stick whose fulcrum is at
50cm. A mass of m1=60.0 kg hangs at the 90.0 cm mark, m2= 20.0 kg hangs at the 20.0 cm mark. Find the location of the mass, m3= 10 kg to obtain static equilibrium. If it is not possible to reach equilibrium, then select a new pivot point and draw a new diagram that will allow the system to reach static equilibrium with the same lever arms values as before for all masses.

Answers

The mass m3 should be placed 0.8 m away from the fulcrum to achieve static equilibrium.

Static equilibrium

To achieve static equilibrium, the net torque acting on the system must be zero. The torque is given by the product of the force and the lever arm. Taking the fulcrum as the reference point, we can write:

(m1)(g)(0.9 m - 0.5 m) + (m2)(g)(0.2 m - 0.5 m) + (m3)(g)(x - 0.5 m) = 0

where g is the acceleration due to gravity (9.81 m/s^2) and x is the distance of the mass m3 from the fulcrum.

Simplifying and solving for x, we get:

x = [(m1)(0.9 m - 0.5 m) + (m2)(0.2 m - 0.5 m)] / (m3) + 0.5 m

x = [((60.0 kg)(0.4 m) + (20.0 kg)(-0.3 m))] / (10.0 kg) + 0.5 m

x = 0.8 m

Therefore, the mass m3 should be placed 0.8 m away from the fulcrum to achieve static equilibrium.

More on torque can be found here: https://brainly.com/question/30807709

#SPJ1

Brainliest for answer!! How does the light spectrum measured for a nearby star compare to the light spectrum of a distant galaxy that is moving rapidly away from the observer? Explain what causes the differences between the two spectra. Answer in 3-5 sentences please.

Answers

Answer:

The light spectrum measured for a nearby star can be used as a benchmark for more distant stars because two stars with identical spectra have the same intrinsic luminosity. Spectroscopy can be applied to light from a distant galaxy, but the dark lines in the solar spectrum give a unique pattern that can be used to identify the elements present in the star. The light spectrum of a distant galaxy that is moving rapidly away from the observer will be shifted towards the red end of the spectrum due to the Doppler effect, which causes the wavelengths of light to stretch out as the object moves away from the observer.

What is the difference between analog signal and digital signal. Explained in essay form.

Answers

A continuous signal that changes in frequency and amplitude over time is referred to as an analogue signal. A digital signal one can only take on a small number of values and is commonly represented by 0s and 1s.

Being able to take on any value within a continuous range of values makes it the perfect choice for simulating physical phenomena like temperature, sound, and light. Analogue signals include things like radio waves, vinyl records, and conventional telephone networks. Modern communication and computing systems use digital signals instead of analogue ones because they can be transferred and processed more effectively and are less prone to noise. Computer networks and digital cameras are few examples of digital signals.

To know more about Computer networks, here

brainly.com/question/14276789

#SPJ1

I don’t understand this pls help

Answers

Just try understand it

What is amplitude and phase in electrical and electronics circuit?

Answers

In electrical and electronics circuits, amplitude is the maximum value of a signal. This is known as the strength or intensity of the signal. Phase, can be seen as the timing relationship between two signals or waveforms. It tell the time it takes betwen the peaks or zero crossings of two waveforms

What more should you know about phase in electrical and electronics circuits?

In electrical and electronics circuits, phase tell us about the the relationship between currents in different parts of the circuit, For example in AC circuits with multiple components.

We the amplitude and phase of signals in electrical and electronics circuits is understood, it becomes easier to design and analyz circuits, and can even be used for troubleshooting and maintaining them.

Learn more about amplitude ;

https://brainly.com/question/15930409

#SPJ1

The graph shows how the speed of a car travelling in a straight line changes with time. Which section shows the largest acceleration? speed A B C D time​

Answers

The section that shows the largest acceleration on the graph would be section B, as it has the steepest slope.

This indicates that the car is increasing in speed at a faster rate during this section compared to the other sections.

For more such question on acceleration

https://brainly.com/question/460763

#SPJ11

complete question not found in search engine.

Why did Izzy fall when playing tug of war? Responses he tripped he tripped balanced forces balanced forces he was pushed he was pushed unbalanced forces

Answers

Answer:

he tripped ballanced forces ballanced forces

Will the placement of the continents on Earth look different in 100 million years than today?

Answers

Answer:

Yes

Explanation:

Continents is constantly moving, but at very slow rate.

This is due to the movement of the tectonic plate underneath the earth surface.

On average they move about 10 cm per year.

So in 100 million, they will move 10,000 km.

Of course, how the continents looks 100 million years from now will be very different than today.

What force is responsible for the orbit of satellites?
- energy
- friction
- magnetism
- gravity

Answers

Gravity is the force responsible for the orbit of satellites. Gravity is an attractive force that acts between two objects with mass.

What is satellites?

Satellites are man-made objects that are sent into space to orbit around a planet or other celestial body. They are used for a variety of purposes, including communication, navigation, scientific research, weather forecasting, and more. Satellites are equipped with advanced technology that allow them to transmit signals and data back to Earth, helping to make our lives easier in many ways. They are powered by solar panels and come in a variety of shapes and sizes. They can be stationary, meaning they stay in the same position as they orbit, or they can be geostationary, meaning they stay in the same point relative to the Earth's surface. They are also capable of providing real-time data and images to Earth-based observers. By using satellite technology, we can gain a better understanding of our planet, its climate, and its inhabitants.

This force is what causes satellites to orbit around a planet or star, as the gravitational pull of the planet or star causes them to move in a curved path.

To learn more about satellites
https://brainly.com/question/28103637
#SPJ1

calculate the electric field at the centre of a square 60cm on a side if one corneris occupied by a +45uC charge and the other three corners are occupied by -31uC charge

Answers

Answer:

E_total = 1.39 x 10^5 N/C

Explanation:

We can calculate the electric field at the center of the square using the principle of superposition. We will treat each charge as a point charge and calculate the electric field due to each charge, and then add them up vectorially.

Let's assume that the positive charge is located at the bottom-left corner of the square, and the negative charges are located at the other three corners. The distance from the charges to the center of the square is:

r = 60 cm / 2 = 30 cm

The electric field due to a point charge is given by Coulomb's law:

E = k*q / r^2

where k is the Coulomb constant, q is the charge, and r is the distance between the charge and the point where we want to calculate the electric field.

For the positive charge, we have:

E1 = k*q1 / r^2

E1 = (9 x 10^9 Nm^2/C^2)(45 x 10^-6 C) / (0.3 m)^2

E1 = 4.50 x 10^5 N/C

The electric field due to the negative charges is:

E2 = k*q2 / r^2

E2 = (9 x 10^9 Nm^2/C^2)(-31 x 10^-6 C) / (0.3 m)^2

E2 = -3.11 x 10^5 N/C

Since the negative charges are at opposite corners, the direction of the electric field due to each charge cancels out, so we only need to consider the magnitude of the electric field due to the negative charges.

The total electric field at the center of the square is:

E_total = E1 + E2

E_total = 4.50 x 10^5 N/C - 3.11 x 10^5 N/C

E_total = 1.39 x 10^5 N/C

The direction of the electric field at the center of the square is the direction of the net electric field due to the two charges, which is from the positive charge to the negative charges. This direction is along the diagonal of the square, at a 45 degree angle with respect to the sides of the square.

A blue train of mass 50 kg moves at 4 m/s toward a green train of 30 kg initially at rest. What is the initial momentum of the blue train?
A. 20 kgm/s
B. 200 kgm/s
C. 50 kgm/s
D. 0 kgm/s

Answers

Answer:

B. 200 kgm/s

Explanation:

The initial momentum of the blue train can be calculated using the formula:

p = mv

where p is the momentum, m is the mass, and v is the velocity.

The mass of the blue train is 50 kg and its velocity is 4 m/s. Therefore, the initial momentum of the blue train is:

p = 50 kg x 4 m/s = 200 kgm/s

Therefore, the initial momentum of the blue train is 200 kgm/s, which is option B.

B or 200 Kgm/s…. Let me know if I’m wrong

The pressure difference between two locations is 0.005 Torr .Which one of the following barometers is preferred to measure the small pressures accurately? (knowing that: Density of mercury = 13600 kg/m³, density water = 1000 kg/m³, density of oil = 800 kg/m³
A-Mercuric barometer
B-Oil-water barometer
C-Water barometer
D-Oil barometer

Answers

Due to its high density, the mercury barometer is the greatest option for precisely measuring minor changes in pressure. The correct option is A.

A barometer is an instrument used to measure atmospheric pressure. It typically consists of a long glass tube filled with a liquid, usually mercury, and inverted in a container of the same liquid.

The preferred barometer to measure small pressures accurately would be the mercury barometer (option A), because it has a higher density compared to the other options and hence it can detect smaller changes in pressure.

To see why the other options are not as good for measuring small pressures accurately, we can compare their densities:

Oil-water barometer: The density of oil is lower than the density of mercury, so it would not be as accurate for measuring small changes in pressure.

Water barometer: The density of water is much lower than the density of mercury, so it would not be as accurate for measuring small changes in pressure.

Oil barometer: The density of oil is lower than the density of mercury, so it would not be as accurate for measuring small changes in pressure.

Therefore, option A, the mercury barometer, is the best choice for measuring small changes in pressure accurately due to its high density.

To learn more about the manometer click:

https://brainly.com/question/31073562

#SPJ1

Two moles of helium gas initially at 268 K
and 0.51 atm are compressed isothermally to
1.5 atm. Find the final volume of the gas. Assume
that helium behaves as an ideal gas. The
universal gas constant is 8.31451 J/K · mol.
answer in units m^3

Answers

The final volume of the gas is 1,515.24 m³.

What is the final volume of the gas?

The final volume of the gas is calculated by applying ideal gas law;

PV = nRT

Where;

P is the pressureV is the volumen is the number of molesR is the universal gas constantT is the temperature.

At a constant temperature, we will have the following equation;

P₁V₁ = P₂V₂

V₂ = (P₁V₁) / P₂

V₂ = (0.51 atm)(2 mol)(8.31451 J/K·mol)(268 K) / (1.5 atm)

V₂ = 1,515.24 m³

Learn more about final volume here: https://brainly.com/question/29441065

#SPJ1

As clothing tumble in a dryer, they can become charged. If a small piece of lint with a charge of +1.62 E−19 C is attracted to the clothing by a force of 2.0 E−9 N, what is the magnitude of the electric field at this location?

0.38 E10 N/C
1.2 E10 N/C
3.2 E10 N/C
3.6 E10 N/C

Answers

Answer:

1.2 E10 N/C

Explanation:

The force between two charged objects can be calculated using Coulomb's law:

F = k * q1 * q2 / r^2

where F is the force, k is Coulomb's constant (k = 8.99 x 10^9 N m^2 / C^2), q1 and q2 are the charges of the two objects, and r is the distance between them.

Rearranging this equation to solve for the electric field at a point, we get:

E = F / q

where E is the electric field strength and q is the charge at that point.

Substituting the given values, we get:

E = (2.0 x 10^-9 N) / (1.62 x 10^-19 C)

E = 12345.68 N/C

Therefore, the magnitude of the electric field at this location is 1.235 x 10^4 N/C.

A megaphone amplifies sound by
all the above
increasing the range of frequencies that can be produced.
focusing sound energy into one specific direction.
spreading out the sound waves over a large area.

Answers

The answer to this question is All of the above

What pressure does a 500N - pound girl produce while standing on the floor if the area of ​​the sole of one of her shoes is 60 cm²?​. pleaaasee guysss help meee

Answers

The pressure exerted by the girl is approximately 833,333.33 Pa (Pascals).

Kinetic energy depends only on a system's_
Select all that apply
>
acceleration
height
mass
2
speed
volume

Answers

The answer for the I believe to be mass and speed

Answer: mass and speed

Explanation: Remember kinetic energy equals 1/2mv^2 so it is dependent on mass and velocity which is speed.

please help PLEASE NOW

Journal prompt to be answered in 2 fully developed paragraphs

Prompt: What are some products (or programs) that you could purchase to help your performance in your current physical activity? How would the product (or program help)? Do you really think it is effective? Use specific examples from your experience.

Answers

You could purchase a fitness tracker to help your performance in your current physical activity.

Fitness tracker would help you in the area of goal setting.

Fitness trackers are effective because they have helped my friends to improve workout routine.

What are some products and programs that do help to physical activity?

Wearable fitness trackers can monitor data like heart rate, number of steps taken, distance traveled, and number of calories burned.

Supplements including protein powders, creatine, and beta-alanine can enhance recovery, muscular growth, and endurance.

Working with a coach or personal trainer can help you attain your fitness objectives by offering personalized training regimens, comments on form and technique, and accountability.

Learn more about physical activity:https://brainly.com/question/14338730

#SPJ1

A rocket is fired from the earth to the moon at a speed of 0.930c. Let two events be "rocket leaves earth" and "rocket hits moon"
A. In the earth's reference frame, calculate Δx for these events.
B. In the earth's reference frame, calculate Δt for these events.
C. In the earth's reference frame, calculate the spacetime interval s for these events.
D. In the earth's reference frame, calculate Δx' for these events.
E. In the earth's reference frame, calculate Δt' for these events.
F. In the earth's reference frame, calculate the spacetime interval s' for these events.
G. In the earth's reference frame, calculate Δx if a rocket is replaced with a laser beam.
H. In the earth's reference frame, calculate Δt if a rocket is replaced with a laser beam.
I. In the earth's reference frame, calculate the spacetime interval s if a rocket is replaced with a laser beam.

Express ALL parts with appropriate units

Answers

A. Δx = 384,400 km (distance between Earth and Moon)

How to solve

B. Δt = 384,400 km / (0.930 * 299,792 km/s) ≈ 1.421 s

C. s² ≈ (-2.781 * 10^10) km² (imaginary number, time-like separated events)

D, E, F. Cannot answer without specified primed frame.

G. Δx for laser beam = 384,400 km

H. Δt for laser beam = 384,400 km / 299,792 km/s ≈ 1.282 s

I. s² for laser beam ≈ 0 km² (light-like separated events)



Read more about velocity here:

https://brainly.com/question/25905661

#SPJ1

1. Choose one from the following countries:
o United States
o United Kingdom
o Australia
o Nepal
o Russia
o Spain
o India
2. Then make research of some laws supporting sexuality and gender in your
chosen country.

Answers

uk

because they have a Sexuality law

Question 11 of 25
In the circuit below, resistors R₁ and R₂ are in parallel. What is the equivalent
1
1
resistance? (R₁ = 30 22,R₂ = 20 2) (
A
+A)
Ptot R₁
S₁
S₂
R₁
S₂ S
ww
R₂
1
R₂₂k

Answers

Answer:

60 ohms

Explanation:

To find the equivalent resistance of two resistors R₁ and R₂ in parallel, we can use the formula:

1/Req = 1/R₁ + 1/R₂

where Req is the equivalent resistance.

Substituting the values given, we get:

1/Req = 1/30 + 1/20

Simplifying, we get:

1/Req = 1/60

Multiplying both sides by Req, we get:

Req = 60 ohms

Therefore, the equivalent resistance of the two resistors R₁ and R₂ in parallel is 60 ohms.

Which of the following is the dimension of moment of inertia? (a) ML2 (b) MLT-1 (c) L2T 2 (d) L T-1

Answers

The dimension of the moment of inertia is [tex]ML^2[/tex]. Option A.

What is the moment of inertia?

The moment of inertia represents the resistance of a body to rotational motion. It depends on the body's mass and the distribution of that mass around the axis of rotation.

The formula for the moment of inertia involves mass and distance and is expressed as:

I = mr^2

where

m is the mass of the bodyr is the distance from the axis of rotation.

The dimension of mass is represented by M, and the dimension of distance is represented by L. Therefore, the dimension of moment of inertia is:

Moment of inertia = mass x distance^2 = M x L^2 = [tex]ML^2[/tex].

More on moment of inertia can be found here: https://brainly.com/question/15246709

#SPJ1

Which of the following is not considered a bloodborne pathogen

Answers

Influenza virus is not considered  as a bloodborne pathogen. The correct answer is option D.

Bloodborne pathogens are infectious microorganisms that can cause disease when transmitted through contact with infected human blood or other body fluids.

They can include viruses, bacteria, and other microorganisms that can cause serious illness or even death.

Influenza virus is not considered a bloodborne pathogen because it is primarily a respiratory virus that spreads through droplets when an infected person talks, coughs, or sneezes.

It can also spread through contact with contaminated surfaces or objects, but it is not primarily transmitted through contact with blood or other body fluids.

For more such questions on bloodborne pathogen, click on:

https://brainly.com/question/27986329

#SPJ11

The probable question may be:

Which of the following is not considered a bloodborne pathogen

A. Hepatitis B virus

B. Human immunodeficiency virus (HIV)

C. Hepatitis C virus

D. Influenza virus

Four point masses 2kg, 4kg, 6kg and 8kg are placed at the corners of Square ABCD of 2cm long respectively. Find the Position of centre of mass of the system from the corner A.
please help me I give you 50 coins​

Answers

The center of mass of the system can be found by taking the weighted average of the positions of the individual masses.

Let's call the mass at point A M1, the mass at point B M2, the mass at point C M3, and the mass at point D M4.

The x-coordinate of the center of mass is given by:
x_cm = (M1*x1 + M2*x2 + M3*x3 + M4*x4) / (M1 + M2 + M3 + M4)

The y-coordinate of the center of mass is given by:
y_cm = (M1*y1 + M2*y2 + M3*y3 + M4*y4) / (M1 + M2 + M3 + M4)

We know that the distance between any two adjacent corners of the square is 2cm. Therefore, we can say that the coordinates of the four masses are:
M1 = 2kg at (0,0)
M2 = 4kg at (2,0)
M3 = 6kg at (2,2)
M4 = 8kg at (0,2)

Substituting these values into the equations above, we get:
x_cm = (2*0 + 4*2 + 6*2 + 8*0) / (2 + 4 + 6 + 8) = 2
y_cm = (2*0 + 4*0 + 6*2 + 8*2) / (2 + 4 + 6 + 8) = 2

Therefore, the center of mass of the system is located at a distance of 2cm from corner A along the x-axis and 2cm from corner A along the y-axis.

What is the current theory about the formation of the solar system?

Responses

About 14 billion years ago, several supernova events scattered all the known elements throughout the galaxy. The magnetic elements were attracted to each other and formed the early celestial bodies that eventually became the planets of the solar system.

About 14 billion years ago, several supernova events scattered all the known elements throughout the galaxy. The magnetic elements were attracted to each other and formed the early celestial bodies that eventually became the planets of the solar system.

A big bang occurred in the solar system as a result of a fusion reaction. All the matter in the solar system that had been clumped together was shattered and sent flying. As new pieces of matter connected, all the celestial bodies of the solar system were formed.

A big bang occurred in the solar system as a result of a fusion reaction. All the matter in the solar system that had been clumped together was shattered and sent flying. As new pieces of matter connected, all the celestial bodies of the solar system were formed.

The area of the universe that was to become the solar system went through a period of vast expansion as a result of rapid radioactive decay that left behind clouds of dust and gases. The excess clouds and gases were used to form the various parts of the solar system.

The area of the universe that was to become the solar system went through a period of vast expansion as a result of rapid radioactive decay that left behind clouds of dust and gases. The excess clouds and gases were used to form the various parts of the solar system.

The solar system began as a cloud of dust and gas that condensed, forming a bulging middle and an outer disk. The bulging middle of the cloud became the sun, and the rest of the dust and gas formed the planets, orbiting the sun in the same plane.

Answers

The current theory about the formation of the solar system is that it began as a cloud of dust and gas, known as the solar nebula which is the last response.

What happened to the nebula?

The nebula collapsed under its own gravity, forming a spinning disk with a bulging middle that became the sun. The remaining dust and gas in the disk coalesced into small bodies, which collided and stuck together, forming the planets.

This process, known as accretion, resulted in the four inner planets, which are small and rocky, and the four outer planets, which are large and gas-rich.

Find out more on solar system here: https://brainly.com/question/1286910

#SPJ1

The second law of thermodynamics states that
a change in a system's energy is equal to the energy
transferred to the system.
energy cannot be created or destroyed.
energy can flow from a colder object to a warmer object
only if something does work.
the only way to reduce an object's temperature is to
increase the entropy of the environment.

Answers

Answer: energy can flow from a colder object to a warmer object

only if something does work.

Explanation: Consider the flow of water from a higher level to a lower level. There is no need to use energy to make this process occur. This type of process which does not need the application of energy to take place is said to be spontaneous. But to make water go up to the water tank, a pump must be used to make the process take place. This type of process which needs the use of energy to make it happen is said to be nonspontaneous.
 

but why not the only way to reduce an object's temperature is to

increase the entropy of the environment.?

coz the motion of particles decreases and their velocity decreases so they have less entropy at a lower temperature.

hope it helped:)

graph
shows a variety of moving objects and how their distance is related to time what do these objects have in common

Answers

What is common among all the graphs is that they all show an object that is moving.

What is a graph?

In the distance time graph, we have the distance on the vertical axis and we have the time on the horizontal axis and the shape of the plots may differ depending on the nature of the motion of the objects.

Graphs of distance vs time help us to examine motion by showing how an object has moved over time. All objects shown on a distance vs. time graph are shifting positions over time, regardless of the graph's specific shape or slope, and the graph reveals information about the direction and speed of their motion.

Learn more about graphs:https://brainly.com/question/848468

#SPJ1

Which of the following is not among the uses of dimensional analysis? (a) determination of the Numerical constant (b) to convert one system of unit to another (c) to change the units of derived quantities (d) to test the correctness of an equation

Answers

To convert one system of unit to another  of derived quantities is not a use of dimensional analysis.

What is dimensional analysis?

Checking for consistency in the dimensions on both sides of an equation entails looking at the dimensions of the physical quantities involved in a problem, such as length, mass, time, electric charge, and temperature.

The core tenet of dimensional analysis is that physical quantities, such as length, mass, and time, may be described in terms of their basic dimensions.

Learn more about dimensions:https://brainly.com/question/1769579

#SPJ1

All of the options listed are included in the uses of dimensional analysis.

What is dimensional analysis?

Dimensional analysis is a powerful tool used in physics to:

check the correctness of equations derive new equationsconvert units from one system to anotherdetermine numerical constants that relate physical quantities.

The dimensional analysis involves analyzing the dimensions of physical quantities and using them to establish relationships between them.

By using the principles of dimensional analysis, we can simplify complex physical problems and gain insights into the behavior of physical systems.

More on dimensional analysis can be found here: https://brainly.com/question/13156854

#SPJ1

A block is attached to a spring and executes
simple harmonic motion according to x = 2.0
cos(50t), where x is in meters and t is in
seconds. The spring constant is k = 100 N/m.
What is the mass of the block?

Answers

Answer:

.04 kg

Explanation:

The equation for simple harmonic motion is x = A*cos(ωt), where A is the amplitude, ω is the angular frequency, and t is the time.

Comparing the given equation x = 2.0cos(50t) with the equation for simple harmonic motion, we see that A = 2.0 meters and ω = 50 radians/second.

The angular frequency is related to the spring constant and mass by the equation ω = sqrt(k/m), where sqrt denotes the square root.

Substituting the values given, we get:

50 = sqrt(100/m)

Squaring both sides and solving for m, we get:

m = 100/2500 = 0.04 kg

Other Questions
Gen-Tech sells merchandise on account for $4,000 to Acorn Company with credit terms of 2/10, n/30. Within the discount period, Acorn Company returns $500 of damaged merchandise and a check for ________ to settle the account. $3,430 $3,200 $3,420 $3,020 Name the property used to produce an equivalent expression for 2(6+y) 4. Many people start smoking and/or drinking alcohol as teenagers. Choose either drinking or smoking as an example and explain why this age is a particularly vulnerable time to initiate these behaviors. Develop a behavioral intervention for a teenager who has a problem with excessive smoking or drinking. How much 3. 0 M H2SO4 is needed to neutralize 50. ML of 1. 2 M AL(OH)3 Why did India begin to use fake food Kera took out a 24-month bank loan of $13,000 at an interest rate of 5. 95%. She budgets to pay$450 per month towards the loan. Write an equation that represents how much total interestKera will pay towards the remaining balance of the loan at the end of each year. Let m equal thenumber of months paid and r equal the interest charged on the remaining balance Babe ruth could produce 2 home runs in a week of play as a fielder or 1 win in a week of play as a pitcher. what was his opportunity cost of a week of fielding a predatory bird is chasing its prey at 15.3 m/s when it emits a 202 hz squawk. ifthe prey is moving away from the predator at 13 m/s, what frequency will it hear ifthe air temperature is 27 c? Boards. 9. Which Texan is best known as a folklorist?(1 point)Frank DobieScott JoplinO Amado Pea, Jr. O Janis Joplin At sunrise donuts you can buy 6 donuts and 2 kolaches for $8.84. On koalches and 4 donuts would cost $5.36. What is the price of one donut at Sunrise Donuts? because ramona identifies with her politically conservative parents, she chose to enroll in a conservative college. after four years in this environment, ramona's politics have become even more conservative. which perspective best accounts for the mutual influences of ramona's upbringing, choice of school, and political viewpoint? 15. A machine in a factory cuts out triangular sheets of metal. Whichof the triangles are right triangles? Select all that apply. Triangle 1Triangle 2Triangle Side LengthsTriangle Side Lengths (in. )112 19 505216 19 1467314 20 596Triangle 3Triangle 4411231421 4. Akua is a trader based in Techiman. She wants to buy goods from a supplier based inAccra. Advise her on the general rules governing delivery of goods. Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1. 15 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent. Ritalin and the pain medication Demerol have a high risk of dependence but may be used for medicinal purposes under a doctor's supervision. These substances are _____ of the CSA list. Your firm has net income of $343 on total sales of $1,360. costs are $750 and depreciation is $120. the tax rate is 30 percent. the firm does not have interest expenses. what is the operating cash flow? Complete the statements by filling out the blanks. The goals of counseling include behavior change,andThe scope of counseling covers Individual Counseling,andPLEASE HELP me The area covered by a lake is 11 square kilometers. It is decreasing exponentially at a rate of 2 percent each year and can be modeled by A(t) = 11(0. 98)^t. A. By what factor does the area decrease after 10 years? B. By what factor does the area decrease each month? Which functions are not linear? select three such functions.a. = 2 b. = 5 2 c. 3+ 2= 4d. = 32 +1 e. = 52 f. = 3 Ray kl and ray hk are two sides of an angle. what is a name of this angle?lkhkhlhlklhkthis is very urgent and i need the answer now please!!