A narrow beam of ultrasound waves reflects off a liver tumor as illustrated. The speed of sound in the liver is 10\% less than in the surrounding medium. What is the depth of the tumor

Answers

Answer 1

When the narrow beam of ultrasound waves reflects off a liver tumor, the depth of the tumor is found to be 6.30 cm.

What is Snell's law?

Snell's law states that the ratio of the sin of the angle of incidence to the angle of reflection is equal to the ratio of the speed of the wave in the first medium to the speed of the wave in the second medium.

[tex]\dfrac{sin\:i}{sin\:r} =\dfrac{v_{1} }{v_{2} }[/tex]

Where, i represents the angle of incidence and r is the angle of reflection.

Given the speed of sound in the liver is 10% less than in the medium, so

[tex]\dfrac{v_{liver} }{v_{medium} }=0.900[/tex]

According to the figure, the angle of incidence is 50°, then from the Snell's law, we have

[tex]sin\:r=(\dfrac{v_{liver} }{v_{medium} } )\times sin\:i\\\\r=sin^{-1} [(0.900)sin 50][/tex]

The angle of reflection comes out to be

r = 43.6°

From the law of reflection,

[tex]d =\dfrac{12\:\rm cm}{2} =6\:\rm cm[/tex]

The depth of the tumor is

[tex]h=\dfrac{d}{tan\:r} =\dfrac{6}{tan\:43.6} \\\\h=6.30\:\rm cm[/tex]

The depth of the tumor in the liver is 6.30 cm.

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A Narrow Beam Of Ultrasound Waves Reflects Off A Liver Tumor As Illustrated. The Speed Of Sound In The

Related Questions

A 35-mf capacitor is connected to an ac source with a frequency of 400 hz and a maximum emf of 20 v. The maximum current, in s. I. Units, is:

Answers

The value of maximum current for A 35-mf capacitor which is connected to an ac source with a frequency of 400 hz and a maximum emf of 20 v is 1.76 ampere.

What is capacitance of capacitor?

The capacitance of a capacitor is the ratio of the electric charge stored inside the capacitance to the potential difference.  The value of capacitive reactance can be calculated as,

[tex]X_c=\dfrac{1}{2\pi fC}[/tex]

Here, C is capacity and (f) is the frequency.

A 35-mf capacitor is connected to an AC source with a frequency of 400 hz and a maximum emf of 20 v.

[tex]X_c=\dfrac{1}{2\pi fC}\\X_c=\dfrac{1}{2\pi (35\times10^{-6})(400)}\\\X_c=11.37\rm\; ohm[/tex]

The maximum current flowing is the ratio of maximum emf to the capacitive reactance. Thus, the maximum current is,

[tex]I_{\text{RMS}}=\dfrac{V_{\text{RMS}}}{X_C}\\I_{\text{RMS}}=\dfrac{20}{11.37}\\I_{\text{RMS}}=1.76\rm\; Amp[/tex]

Thus, the value of maximum current for A 35-mf capacitor which is connected to an ac source with a frequency of 400 hz and a maximum emf of 20 v is 1.76 ampere.

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Under what conditions do gases follow the ideal gas law

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Answer:

According to sciences, when under moderate pressure and temperature, gases tend to follow the ideal gas law.

Use the table to answer the question.
A
B
formed by oscillating source
formed by vibration of charged particles
requires a medium to transmit energy
can transmit energy through a vacuum
examples include sound waves
examples include light waves
What should column A be titled?
(1 point)
seismic waves
mechanical waves
surface waves
electromagnetic waves

Answers

Answer:

Mechanical Waves

Explanation:

I took the practice

Which of the following statements is UNTRUE? In order for an object to float..

The buoyant force must be stronger than the gravitational force
The density of the object must be less than the surrounding fluid
The object must be equally buoyant with the surrounding fluid
The fluids must be more dense than the object

Answers

Answer:

The object must be equally buoyant with the surrounding fluid

is an untrue statement - because the object could not float - it could be anywhere in the fluid

Planet A has a mass of 2.25 x 1020 kg, while planet B has a
mass of 6.20 x 1018 kg. What is the gravitational attraction
between two planets if the distance between them is
435,500 km? Estimate G as 6.67 x 10-11 N (m/kg)

Answers

Answer:

4905.95 N

Explanation:

F= G m1 m2 / (r^2)

  = 6.67 x 10^-11   *  2.25 * 10^20 * 6.2 * 10^10 / ( 435 500 000)^2 =

( be sure to use meters    NOT kilometers !)

The gravitational attraction between two planets is  4905.95 N

What is gravitational attraction?

When two objects with masses are placed at a distance, there will an attractive force acting between them.

According to the Newton's law of gravitation, gravitational force is

F = Gm₁m₂ /r²

where r is the distance between the masses m₁ and m₂ and  G is the gravitational constant G = 6.67 x 10⁻¹¹ N-m²/kg²

Substitute the values into the expression, we get

F =  6.67 x 10⁻¹¹ x  2.25 x 10²⁰ x 6.20 x 10¹⁸ / (435,500 x 1000)²

F= 4905.95 N

Thus, the gravitational attraction between two planets is  4905.95 N.

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2) Which of the following characteristics is associated
with high energy for a mechanical wave?
a) low amplitude
b) high amplitude
c) low frequency
d) long period
e) long wavelength

Answers

Answer:

The correct answer should be high amplitude : )

Explanation:

A high energy wave is characterized by a high amplitude, a low energy wave is characterized by a low amplitud

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The value of the peak power will be 50 W. The peak power is found as two times of the average power. Option C is correct.

What is average power?

Average power is a ratio of total work done by the body to the total time. Its unit is the watt. It is also defined as the rate of total work done by the body.

The given data in the problem is;

Average power = 25 W

Peak power = ?

The peak power is found as;

Peak power = 2 × average power

Peak power=2×25

Peak power = 50 W

Hence, the value of the peak power will be 50 W.

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What is the mass of a truck if it produces a force of 14,000 n while accelerating at 5 m/s^2?

Answers

Answer:

[tex]F=ma \\ 14000 = 5m \\ m = \frac{14000}{5} \\ \therefore \: m = 2800 \: kg[/tex]

What is the missing number in the nuclear reaction shown below? 237 Np 93 - 4 He+ 2 233 ? Pa

actually answer pls​

Answers

Answer:

91 is the missing number because an alpha particle with a charge of 2 was emitted.

28. use the first equation in section iv for this problem. k = - u_{g} , g=6.67*10^ -11 .m^ 3 kg^-1 s^-2 and m = 3.2 * 10 ^ 23 * kg . find y in terms of r.

Answers

When, the mass and gravitational constant is provided, the  velocity v in terms of r is 6.534 x 10⁶ r^(-1/2) m/s.

What is gravity?

The force of attraction felt by a person which is directed at the center of a planet or Earth is called as the gravity.

The gravitational potential energy is directly proportional to the negative of product of masses of the object and inversely proportional to the distance between them.

U = - GMm/r

From the equation 1, k =-Ug

where k = Kinetic energy = 1/2mv²

here, m is the mass of the object, v is the velocity and g is the grvaitational acceleration.

1/2mv² = -(GMm/r) g

v = sq rt(2GM/r)

Given is the mass M =  3.2 x 10²³ kg , gravitational constant G = 6.67 x 10⁻¹¹ m³/kg.s²

Substitute the values and calculate the velocity v,

v = sq rt [( 2 x6.67 x 10⁻¹¹ x  3.2 x 10²³) / r]

v = 6.534 x 10⁶ r^(-1/2) m/s

Thus, the value of velocity v in terms of r is 6.534 x 10⁶ r^(-1/2) m/s.

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An object with a mass of 5.0 kg accelerates 3.0 m/s2 after a force is applied to it. What is the amount
of force acting on the object?

Answers

Answer:

Dont

Explanation:

Know

Could 2 students do different amounts of work and have the same power, why?

Answers

Answer:

Power is defined as Work / Time

P1 = P2 = W1 / T1 = W2 / T2       W1 and W2 are not necessarily the same Power expended depends on both work input over a unit of time

The amount of energy that would be needed to accelerate a large spaceship to half the speed of light is:.

Answers

At a known mass of the spaceship, the amount of energy that would be needed to accelerate the spaceship to half the speed of light is 1.5 x 10⁸  x m (J).

Energy needed

The amount of energy that would be needed to accelerate a large spaceship to half the speed of light is calculated as folllows;

E = mc²

where;

m is mass of the spaceshipc is speed of light = 3 x 10⁸ m/s

half the speed of light = 1.5 x 10⁸ m/s

E = 1.5 x 10⁸  x m

Thus, at a known mass of the spaceship, the amount of energy that would be needed to accelerate the spaceship to half the speed of light is 1.5 x 10⁸  x m (J).

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what will be the key difference in the energy of the particles in the iron 250 K and 500 K ?​

Answers

Answer: the guy is right

Explanation:

:)

bem ²4.23=1.4m/s
3. Use Equations: What is the mean speed in kilometers per minute (km/min)?
Convert the speed from m/s to km/min using the following formula: mean speed
(m/s) x 1km/1000m x 60s/1min=km/min.

Answers

1.4 x 1/1000 x 60
= 0.0014 x 60
= 0.084 km/min

The cluster of galaxies that our own galaxy belongs to is called the.

Answers

Answer:

The Local Group/ Virgo Cluster

Explanation:

Our solar system is part of a galaxy called the Milky Way galaxy. The Milky Way galaxy is part of a small cluster of just over 30 galaxies known as the "Local Group." This cluster resides in a larger cluster of galaxies called the "Virgo Cluster" (sometimes called the Virgo Supercluster). The Virgo cluster contains just about 2000 galaxies.

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The emf is induced in the wire will be 1.56 ×10 ⁻³ V. The induced emf is the product of the magnetic field,velocity and length of the wire.

What is induced emf?

Emf is the production of a potential difference in a coil as a result of changes in the magnetic flux passing through it.

When the flux coupling with a conductor or coil changes, electromotive Force, or EMF, is said to be induced.

The given data in the problem is;

B is the magnitude of the magnetic field,= 5.0 ×10⁻⁵ T

V(velocity)=125 M/SEC

L(length)=25 cm=0.25 m

The maximum emf is found as;

E=VBLsin90°

E=125 × 5.0 × 10⁻⁵ ×0.25

E=1.56 ×10 ⁻³ V

Hence, the emf is induced in the wire will be 1.56 ×10 ⁻³ V

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The study of properties of matter, energy and of their mutual relationships is called

Answers

Explanation:

The study of properties of matter, energy and of their mutual relationships is called physics

The magnitude of the average braking force on the car is most nearly

Answers

Braking force is applied to brakes to stop the car. The average braking force is 2kN.

What is force?

Force is the product of mass of the object and acceleration.

The braking force is the force applied on the brakes to stop the car at a distance.

Suppose, the mass of the car is m=1000kg

The initial velocity of the car is u=10m/s

The time is t=5s

The final velocity of the car is v = 0 m/s

Applying the first equation of motion, to calculate the acceleration,

v=u + at

a=(v−u) / t

a =0−10 / 5

a =−2m/s²

Then, apply Newton's Second Law of Motion to calculate the braking force

F = ma = 1000 x 2= 2000 N or 2kN

Thus, the magnitude of the average braking force on the car is most nearly 2kN.

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What are two ways an engineer can build a car in order for it to accelerate faster

Answers

Explanation:

Take F=ma

a = F/m

For a higher, F higher or m lower

Means higher horse power for engine or lower mass for the car

An engineer can make a car to accelerate faster by having higher horsepower for the engine or less mass for the car.

What is an Acceleration?

Acceleration is defined as the rate of change of velocity of an object with respect to time. These are vector quantities because they have both direction and magnitude. The orientation of an object's acceleration is given by the orientation of the net force acting on that object.

Acceleration in a car has everything to do with the torque and horsepower on the car where these two characteristics essentially determine the speed of the vehicle. The higher the torque and horsepower, the faster we go

Acceleration is expressed in terms of Force which is equals to

F=ma (m=mass, a= accelaration)

So, a = F/m

For a higher, F will be higher or m will be lower

Thus, an engineer can make a car to accelerate faster by having higher horsepower for the engine or less mass for the car.

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Sonar is a device that uses reflected sound waves to measure underwater depths. If a sonar signal has a wavelength of 5.9 m and the velocity of sound in water is 15 m/s, what is the frequency of the signal?

Answers

The frequency of the signal is = 2.5 Hz

Calculation of frequency

The wavelength of the sonar device = 5.9 m

The velocity of the sound = 15 m/s

The frequency = ?

But the formula for the velocity of sound wave = frequency × wavelength

Male frequency the subject of formula,

f = v/ wavelength

f = 15/5.9

f = 2.5Hz

Therefore, the frequency of the signal is = 2.5Hz

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150N
V
nail
0.50 m
wood
pivot
The man applies a force of 150 N at a distance of 0.50m from the pivot.
Calculate the moment of this force about the pivot. Include a unit.

Answers

Moment = force x distance

Force = 150N
Distance = 0.50m

Moment= 150 x 0.50
=75Nm

How do the amplitudes of a 120 decibel sound and a 100-decibel sound compare?​

Answers

The 120 decibel sound has more amplitude than the 100 decibel sound.

In Physics, the relation between amplitude and intensity is that the intensity of the wave is directly proportional to the square of its amplitude.

Karyn is a zookeeper who takes care of baboons. Each day, Karyn writes down how the baboons eat, play, sleep, and wash. She reviews her notes every week to see if the animals are healthy and content. Which statement explains why Karyn's approach is an investigation instead of an experiment?


She is measuring variables.


She is testing a specific hypothesis.


She is not following the scientific method.


She is not attempting to change outcomes.

Answers

The statement which explains why Karyn's approach is an investigation instead because she is not attempting to change outcomes.

What is Investigation?

This is defined as the systematic study of a subject topic and involves various forms of observation.

It however doesn't involve measuring variable as the outcomes aren't changed but only recorded.

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Two conducting spheres have net charges of +3.0 uC and -9.0 uC and attract each
other with a force of 0.20 mN. How far apart are the spheres?

Answers

The force between the two charges will be 16,000 N. It is the force exerted by one charge on another charge.

What is electric force?

The electric force between the two charges is directly proportional to the product of the charge and inversely proportional to the square of the distance between them.

The given data in the problem is;

The magnitude of charge of sphere q₁  = +3.0 μC=-3.0×10⁻⁶ C

The magnitude of charge of sphere q₂ =  -9.0 μC=9.0×10⁻⁶ C

k is the proportionality constant = 9 × 10⁹ Nm²

r is the separated distance to be found;

The electric force is F =  0.20 mN = 0.20 ×10⁻³ N

The electric force is found as;

[tex]\rm F = \frac{K q_1q_2}{r^2} \\\\ \rm 0.20 \times 10^{-3} = \frac{9 \times 10^9 \times 3.0 \times 10^{-6}\times 3.0 \times 10^{-6} }{r^2} \\\\\ R^ 2 =4.04\times 10^{-4} \\\\ R= 0.020 \ m[/tex]

Hence, the force between the two charges will be 16,000 N.

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You find 6.21 g of diamonds. You measure that the diamonds have a volume of 1.77 ml. What is the
density of diamonds, and where would the diamonds fit into your density column?

Answers

Answer:

3.51 g/mL

Explanation:

Density can be found using the equation: density = mass / volume.

In this case, mass is given in grams (g) and volume is given in milliliters (mL).

You can find the density of the diamonds by plugging the given values into the formula and simplifying.

Density = mass (g) / volume (mL)

Density = 6.21 g / 1.77 mL

Density = 3.51 g/mL

A square loop of wire lies in the plane of the page. A decreasing magnetic field is directed into the page. The induced current in the loop is

Answers

A square loop of wire lies in the plane of the page. A decreasing magnetic field is directed into the page. The induced current in the loop is maximum and clockwise.

What is Magnetic field?

The region of space where an object experiences a magnetic force towards it is called magnetic field.

The change in magnetic field induces the current. This induced current again opposes the original magnetic field in the opposite direction. The original magnetic field is decreasing into the page. So, magnetic field of induced current will have to add it and into the page.

Thus, the induced current in the loop is maximum and clockwise.

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I need a detailed explanation on What is nuclear fusion is and what company’s are using it

Answers

Answer: here are some of the places that use nuclear fusion

Commonwealth Fusion Systems (CFS)

TAE Technologies.

General Fusion (Canada)

Helion Energy.

Tokamak Energy (U.K.)

First Light (U.K.)

Explanation: nuclear fusion is a nuclear reaction in which atomic nuclei of low atomic number fuse to form a heavier nucleus with the release of energy.

The distance between Carol's house and her uncle's house is 24 km. What is her speed in kilometers per hour in order to get to her uncles house in 40 minutes by motorcycle.

Answers

Carol's speed in kilometers per hour in order to get to her uncles house in 40 minutes by motorcycle is 36km/hr.

How to calculate average speed?

The average speed of a moving body can be calculated by dividing the distance moved by the time taken.

According to this question, the distance between Carol's house and her uncle's house is 24 km. The speed it will take her to get to her uncle's house in 40 minutes by motorcycle is as follows:

Average speed = 24km ÷ 40/60 hour

Average speed = 36km/hr

Therefore, Carol's speed in kilometers per hour in order to get to her uncles house in 40 minutes by motorcycle is 36km/hr.

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Write out the solution to the following problem: Find the force of an object with a mass of 5 kg and an acceleration of 3 m/s2.

Answers

Answer:

15 N

Explanation:

Force=mass x acceleration

15= 5 x 3

Answer: 15N

Explanation:

If the object has a mass of 5kg and accelerates 5m/s^2, force that is applied to move the object is simply the product of mass and acceleration.

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