A sailor uses an ultrasonic crack detector to find flaws in the rubber gasket ( S.G = 2.4, Y = 2.5 GPa) sealing water tight compartments. The crack detector produces 21.06 KHz pulses.
a) Calculate the speed of sound in the gasket in m/s
b) Calculate the wavelength
c) A crack is thought to be at a depth of 1.874 cm. Calculate the expected interval time for the pulse to make a round rip in μs.

The center of mass of the rod, in meters is at a distance of 0.142 meters from the origin along the x-axis.

To determine the center of mass of the rod, we can use the formula:

xcm = (1/M) ∫ρ(x)xdx

where M is the total mass of the rod and ρ(x) is the linear density at position x.

To find M, we can integrate the linear density function over the length of the rod:

M = ∫ρ(x)dx from x=0 to x=L

Substituting the given linear density function, we have:

M = ∫[rho0+(rho1-rho0)(x/L)2]dx from x=0 to x=L

M = rho0L + (rho1-rho0)(L/3)

M = 1.2(0.65) + (5.3-1.2)(0.65/3)

M = 2.6 kg

Now, we can integrate the product of ρ(x) and x over the length of the rod to find the numerator of the center of mass formula:

∫ρ(x)xdx from x=0 to x=L

= ∫[rho0+(rho1-rho0)(x/L)2]x dx from x=0 to x=L

= [rho0x2/2 + (rho1-rho0)(x/L)4/20] from x=0 to x=L

= rho0L2/2 + (rho1-rho0)L4/20

= 0.369 kg·m

Finally, we can calculate the center of mass using the formula:

xcm = (1/M) ∫ρ(x)xdx

xcm = (1/2.6) (0.369)

xcm = 0.142 m

Therefore, the center of mass of the rod is located at 0.142 meters from the origin along the x-axis.

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The velocity vs. time graph provides information about how the velocity of an object changes over time.

The velocity vs. time graph is a graphical representation of the object's velocity at different points in time. The graph consists of two axes: the vertical axis represents velocity, and the horizontal axis represents time. By examining the graph, you can determine various characteristics of the object's motion.

For example, a positive slope on the graph indicates that the object is moving in a positive direction with increasing velocity. A negative slope indicates motion in the opposite direction or decreasing velocity.

A horizontal line represents constant velocity, as the slope is zero. The steepness of the slope indicates the rate at which the velocity is changing. A steeper slope indicates a faster change in velocity.

The velocity vs. time graph is a valuable tool in understanding the motion of objects. By analyzing the graph's shape and slope, you can determine important information such as acceleration, deceleration, constant velocity, and direction of motion.

It provides a visual representation that aids in interpreting and predicting an object's motion over time.

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Answer:

A physical property is a characteristic of matter that is not associated with a change in its chemical composition.

Explanation:

A physical property is a characteristic of matter that is not associated with a change in its chemical composition. Familiar examples of physical properties include density, color, hardness, melting and boiling points, and electrical conductivity.

hope it helps! Have a fantastic day!

Answer: Physical properties include density, color, hardness, melting and boiling points, and electrical conductivity.

Explanation: Pretty self explanatory I think but I hope it helped.

Answer:

Tropical region

Explanation:

because the regions near the equator are called tropical regions

Explanation:

hope it heeeeeeeeeeeeeelps

Explanation:

Newton's second law of motion states that, "Everybody in the universe continues in its state of rest or uniform motion in a straight line unless any unbalanced force is applied to it"

Answer:

59.8 m/s

Explanation:

vf = vo + at

   = 50 m/s + 9.81 m/s^2  (1 s) = 59.8 m/s

At one instant an object in free fall is moving downward at 50 m/s. one second later its speed would be 59.81 meters/second because under the free fall motion the only acting force is the gravitational force.

There are three equations of motion given by  Newton

The first equation is given as follows

v = u + at

the second equation is given as follows

S = ut + 1/2×a×t²

the third equation is given as follows

v² - u² = 2×a×s

As given in the problem at one instant an object in free fall is moving downward at 50 m/s and we have to find out the speed after 1 second,

By using the first equation of motion,

v = u + at

v = 50 + 9.81 ×1

v = 59.81 meters/second

Thus, the speed of the falling stone after one second would be 59.81 meters/second

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We have that for the Question "Describe what a high and low frequency electromagnetic wave look like:" it can be said that

From the question we are told

Describe what a high and low frequency electromagnetic wave look like:

Generally the equation for the frequency  is mathematically given as

\(f=\frac{1}{t}\\\\and\\\\f=\frac{v}{\lambda}\\\\\)

Therefore

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It is important to note that the debate between scientific realism and antirealism is ongoing and complex, with various nuances and perspectives within each position. Different philosophers of science and scientists may hold different views on the nature of scientific terms and their relationship to reality.

According to a scientific realist perspective, scientific terms for unobservable phenomena such as "atom" and "black hole" are seen as referring to entities that truly exist in reality. Scientific realists believe that scientific theories and concepts accurately capture aspects of the world, including unobservable entities and phenomena. They argue that scientific theories provide the best explanation of the natural world and aim to describe the underlying structure and mechanisms of reality.

On the other hand, scientific antirealists hold a different view. They argue that scientific terms that refer to unobservable phenomena do not necessarily correspond to something that exists independently in reality. Antirealists often emphasize the instrumentalist view of science, which suggests that scientific theories are simply tools or frameworks that help us organize and predict observable phenomena, without making claims about the ultimate nature of reality.

Antirealists may argue that scientific theories are subject to revision and change over time as new evidence emerges, suggesting that the terms used to describe unobservable phenomena are not fixed and may not have a one-to-one correspondence with actual entities in reality. They may also highlight the role of social and cultural factors in shaping scientific knowledge, suggesting that scientific terms are influenced by human conventions and interpretations.

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Answer:

OA. . review all safety procedures and the lab activity procedure

Explanation:

In physics, the final speed of an object in freefall (with no friction) depends only on the initial height from which it falls and the acceleration due to gravity, not on its mass.

According to the equation of motion, the final velocity of an object in freefall is given by v = sqrt(2gh), where v is the final velocity, g is the acceleration due to gravity (approximately 9.8 m/s^2 on the Earth's surface), and h is the initial height.

In this scenario, all objects, regardless of their mass, will reach the same final velocity if they are dropped from the same height. This is because the force of gravity acting on an object is proportional to its mass, but the acceleration due to gravity is the same for all objects. So, the final velocity of an object in freefall is not affected by its mass.

It's important to note that this is true only in the absence of friction and air resistance. In real-world scenarios, friction and air resistance can affect the final velocity of an object, and the mass of an object can affect its final velocity to some extent through air resistance

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Answer:

Explanation:

According to Newton's law of gravitation , all objects should take same time to fall from same height , but it does not happen when we see a paper , a thermocol and a plastic paper to fall .

It happens due to air resistance . In case of paper , this is most pronounced , so it falls slowest . In case of plastic paper , the resistance is least so it falls fastest .

If we squeeze the piece of paper to make a lump so that it does not remain flat , it will fall the fastest , because in this case the air resistance on it becomes the least .

Answer:

2.72 km

Explanation:

(12.33 km)/ 1 hr * (1 hr)/ 60 min

0.2055 km/ min

distance=rate * time (assuming v is constant,

a=0)

(0.2055 km/ min)*(13.22 min)

2.72 km OR 2716.71 m

The magnitude of the acceleration due to gravity on this distant planet is approximately 9.8 m/s².

To determine the acceleration due to gravity on the distant planet, we can follow these steps:

1. Find the time period (T) of one oscillation:
Since the pendulum completes 100 oscillations in 360 seconds, the time period for one oscillation is:
T = 360 s / 100 oscillations = 3.6 s

2. Use the formula for the period of a simple pendulum:
T = 2π√(L/g)
where L is the length of the pendulum (1.20 m) and g is the acceleration due to gravity.

3. Solve for g:
Square both sides of the equation:
T² = 4π²(L/g)
Now, isolate g:
g = 4π²L/T²

4. Substitute the known values:
g = (4 * π² * 1.20 m) / (3.6 s)²
g ≈ 9.8 m/s²

The magnitude of the acceleration due to gravity on this distant planet is approximately 9.8 m/s².

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Answer:

u=0

t=30s

a=2m/s²

v=?

v= u+at

= 0+(30)(2)

= 60m/s

The car must start at a height of approximately 127.55 meters on the hill in order to achieve a speed of 50 m/s at the bottom, assuming it is engineless and resistance-free.

To determine the height on a hill at which an engineless, resistance-free car must start in order to achieve a speed of 50 m/s at the bottom, we can use the principle of conservation of mechanical energy.

According to this principle, the sum of the potential energy and the kinetic energy of an object remains constant in the absence of external forces.

At the top of the hill:

The car has only potential energy (PE) due to its height above the bottom.

At the bottom of the hill:

The car has both potential energy and kinetic energy (KE).

Since the car is engineless and resistance-free, we can neglect any energy losses due to friction or air resistance.

The total mechanical energy (E) at the top of the hill is equal to the total mechanical energy at the bottom of the hill:

Etop = Ebottom

The potential energy (PE) at the top of the hill is given by the formula:

PE = m * g * h

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

The kinetic energy (KE) at the bottom of the hill is given by the formula: KE = (1/2) * m * \(v^{2}\),

Where v is the speed of the car at the bottom.

Therefore, we have:

PEtop = KEbottom

m * g * h = (1/2) * m * \(v^{2}\)

We can cancel out the mass (m) from both sides of the equation:

g * h = (1/2) * \(v^{2}\)

Now, we can solve for the height (h):

h = (1/2) * \(v^{2}\) / g

Substituting the given values:

v = 50 m/s (speed at the bottom)

g = 9.8 m/\(s^{2}\) (acceleration due to gravity)

h = (1/2) * \((50 m/s)^2\) / (9.8 m/\(s^{2}\))

h = 127.55 m

Therefore, the car must start at a height of approximately 127.55 meters on the hill in order to achieve a speed of 50 m/s at the bottom, assuming it is engineless and resistance-free.

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Answer:

International Bureau of Weights and Measures (BIPM), French Bureau International des Poids et Mesures, international organization founded to bring about the unification of measurement systems, to establish and preserve fundamental international standards and prototypes, to verify national standards, and to determine fundamental physical constants. The bureau was established by a convention signed in Paris on May 20, 1875, effective January 1876. In 1921 a modified convention was signed.

The interference is not destructive, the interference is constructive.

Interference can be constructive or destructive. When two waves pass through the same space at the same time, it is known as interference. If the amplitude of the sum of the waves is less than the amplitudes of the individual waves, then interference is destructive.

Hence, we have to determine whether the interference is destructive when signals modeled by y=20sin (3t+45∘) and y=20sin(3t+225∘) are combined.

In this case, the amplitude of both signals is the same. Hence, we can ignore the amplitude term and consider only the angle component.  

The two signals can be rewritten in terms of the angle component as follows:

y1=3t+45°y2=3t+225°

To find the resultant of the two signals, we add the two signals:

yR=y1+y2=y1=3t+45°+y2=3t+225°=6t+270°

We know that the sine function repeats itself every 360 degrees. Hence, we can rewrite the above equation as:

yR=6t+270°=6t+360°−90°=6t−90°

From the above equation, the resultant signal can be written as: yR=20sin(6t−90°)To determine whether the interference is destructive or not, we check if the amplitude of the resultant wave is less than the individual waves.

Since the amplitude of each signal is 20, the amplitude of the resultant wave is also 20. Hence, the interference is constructive. This is because the two signals are exactly out of phase, and they interfere to create a stronger signal. Therefore, the interference is not destructive.

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In materials such as metals the outer most electrons are loosely bound and therefore their movement is chaotic, this allows for the transportation of energy in form of electricity therefore, this materials are good conductors. The statement is true.

Ashley and Miranda slide across the snow at a speed of 5.8 m/s when they are together on the inner tube.

When Miranda hops on the inner tube, the combined velocity of Ashley and Miranda can be determined by adding their individual velocities. Ashley is already coasting across the snowfield at a velocity of 1.7 m/s, while Miranda is running at a velocity of 4.1 m/s.

To find the total velocity, we add the velocities vectorially:

Total velocity = Ashley's velocity + Miranda's velocity

Total velocity = 1.7 m/s + 4.1 m/s

Total velocity = 5.8 m/s

Therefore, when Miranda hops on the inner tube, the two of them slide across the snow together at a combined velocity of 5.8 m/s.

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To determine the final position and size of the image formed by the combination of the converging and diverging lenses, we can use the lens formula and the lens-maker's formula. Here are the steps to solve the problem:

Determine the position and size of the image formed by the converging lens:

Given: Focal length of the converging lens (f₁) = 60 cm

Object height (h₁) = 3.7 cm

Object distance (u₁) = -80 cm (negative sign indicates the object is in front of the lens)

Using the lens formula: 1/f = 1/v - 1/u, where f is the focal length, v is the image distance, and u is the object distance.

Substituting the given values:

1/60 = 1/v - 1/(-80)

Solving for v₁, the image distance formed by the converging lens:

1/v₁ = 1/60 - 1/80

1/v₁ = (4 - 3)/240

1/v₁ = 1/240

v₁ = 240 cm

The image distance (v₁) is positive, indicating that the image formed by the converging lens is real and on the opposite side of the lens from the object.

To determine the magnification (M₁) of the converging lens, we can use the formula: M₁ = -v₁/u₁

M₁ = -240/(-80)

M₁ = 3

The magnification (M₁) is positive, indicating that the image formed by the converging lens is upright.

Determine the position and size of the image formed by the diverging lens:

Given:

Focal length of the diverging lens (f₂) = -44 cm

Object distance (u₂) = 240 cm (distance between the two lenses)

Using the lens formula for the diverging lens:

1/f = 1/v - 1/u

Substituting the given values:

1/-44 = 1/v₂ - 1/240

Solving for v₂, the image distance formed by the diverging lens:

1/v₂ = -1/44 + 1/240

1/v₂ = (-6 + 1)/240

1/v₂ = -5/240

v₂ = -48 cm

The image distance (v₂) is negative, indicating that the image formed by the diverging lens is virtual and on the same side of the lens as the object.

To determine the magnification (M₂) of the diverging lens, we can use the formula: M₂ = -v₂/u₂

M₂ = -(-48)/240

M₂ = 1/5

The magnification (M₂) is positive, indicating that the image formed by the diverging lens is upright.

Determine the final position and size of the combined image:

To find the final position of the combined image, we add the image distances of the converging and diverging lenses:

v = v₁ + v₂

v = 240 + (-48)

v = 192 cm

To find the magnification of the combined lenses, we multiply the magnifications of the individual lenses:

M = M₁ * M₂

M = 3 * 1/5

M = 3/5

The final image distance (v) is positive, indicating that the combined

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Answer:

The answers are red bone marrow and blood vessels.

Explanation:

Bone marrow is made of stem cells. These stem cells make red bone marrow, which creates blood cells and platelets for your blood.

The principle of operation of a pressurized garden sprayer is as follows;

A pressurized garden sprayer is a chamber which is filled with a liquid which can be a lubricant, paint or chemical, then filled with compressed air to allow the liquid to be sprayed at high pressure.

As it is pumped by hand, the compressed air with which it is filled serves the primary purpose of allowing the liquid to be sprayed at high pressure - an important requirement for performance characteristics of the sprayer.

Flammable liquids must not be used with such equipment.

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Frictional force μk =  T - ma / mg

As block is moving with acceleration 'a', so we will we equilibrium equation.

T - f = ma

T - μk N = ma

μk = T - ma/N

μk = T - ma / mg

where T = tension in rope

          m = mass of block of wood

          g = acceleration due to gravity

The net force acting on an object is equal to the rate at which its momentum varies over time, according to Newton's second law in its original version. This law suggests that an object's acceleration is directly related to its mass if it has a constant mass.

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Answer:

\( { \tt{(1.54 \times {10}^{6}) + (6.15 \times {10}^{6}) }} \\ = { \tt{(1.54 + 6.15) \times {10}^{6} }} \\ = { \tt{7.69 \times {10}^{6} }}\)

Answer:

This means that the strength of the magnet increases with increasing number of turns in the coil.

Explanation: We can say that, the strength of the electromagnet is directly proportional to the number of turns in the coil. If you double the number of turns, you double the strength of the electromagnet.

The magnitude of the gravitational force of the Moon on Earth is also 1.99 x 10^20 N. The gravitational force of the moon on Earth.

The magnitude of the gravitational force of the moon on Earth is the same as the magnitude of the gravitational force of Earth on the moon, as stated by Newton's third law. However, let's look at how the gravitational force between these two celestial objects is calculated.

In general, the gravitational force between two objects can be calculated using the formula: F = (Gm1m2)/r^2 where G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers of mass.

The mass of the Earth is approximately 81 times greater than that of the Moon. The mass of the Earth is about 5.97 x 10^24 kg, while the mass of the Moon is approximately 7.34 x 10^22 kg.

As a result, we may use these values to calculate the magnitude of the gravitational force exerted by Earth on the Moon.

Assume that the distance between the centers of mass of Earth and Moon is 384,400 km.

Furthermore, G has a value of 6.67 x 10^-11 Nm^2/kg^2.

Using the formula: F = (Gm1m2)/r^2

we get: F = (6.67 x 10^-11 Nm^2/kg^2)(5.97 x 10^24 kg)(7.34 x 10^22 kg)/(384,400,000 m)^2

= 1.99 x 10^20 N

The magnitude of the gravitational force of Earth on the Moon is about 1.99 x 10^20 N.

Again, due to Newton's third law, the magnitude of the gravitational force of the Moon on Earth is also 1.99 x 10^20 N.

Therefore, this is our final answer.

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The charge on the yellow sphere is positive because the net electric force on the blue sphere has a value of F and is oriented in the y direction.

What is class 12 of Gauss's law?

According to Gauss's law, each closed surface's electric flux is equal to the net charge it contains divided by the vacuum's permittivity, or =Q.

What makes it the Gauss law?

Gauss' Law demonstrates how electric fields, E, can be produced by static electricity, q. Gauss' Law, which bears the name of German physicist Carl Friedrich Gauss, is the third of Maxwell's four equations. According to Gauss' Law, an electric charge, qv, or static electricity, produces an electric field, E. (voltage).

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