The speed of sound in air is about 340 m/s. What is the wavelength of sound waves
produced by a guitar string vibrating at 490 Hz? Show your work.

The matrix is ​​the set of extracellular materials that will form a certain tissue. Through this there will be a physiological integration of the cells.

In the matrix there will be different macromolecules, mainly collagen, enzymes, glycoproteins, among others which will give support to the cells that will be immersed in the matrix. It will also be involved in the process of cell multiplication and cell movement, since it will allow communication between the different cells to coordinate their cell functions.

The extracellular matrix is ​​going to be composed, broadly speaking, of two components: interstitial matrix and the basal membrane. The interstitial matrix is ​​one that will be formed by polysaccharides and fibrous proteins that gives it the characteristic to be able to cushion the compressions to which it may be subjected.

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The tension in the connecting cord is 4.72 N.

Tension is defined in physics as the pulling force transmitted axially by a string, rope, chain, or similar object, or by each end of a rod, truss member, or similar three-dimensional object; tension can also be defined as the action-reaction pair of forces acting at each end of said elements.

Given that:

Mass of block A (mₐ) = 3.0Kg

Mass of block B (mb) = 4.0 kg

Force (F)=  8.0N

Assume a = acceleration of the blocks.

mₐ(a) +  mb(a) = 8

3a + 4a = 8

7a = 8

a = 8/7

a = 1.142 m/s²

Suppose T to be the tension in the string.

If we take a look at the forces acting on the first block, then:

F - T =  (a)

T = F -  (a)

T = 8- 3(1.142)

T = 8-3.428

T =4.72 N

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Answer:

I = Q / t       definition of electric current

Q = I * t = .5 C/s * 10 s = 5 Coulombs

(C) 5 Coulombs

The defined objective variable can only have one cell selected by the user. Another of the three key parameters when attempting to use the Excel solvers program is the set target variable cell.

Anything that may vary or be altered is a variable. To put it another way, it refers to any variable that can be altered, taken into account, or determined during an experiment. Different kinds of variables are used in experiments. A quantity which value can fluctuate is said to be a variable.

When doing an investigation, the explanatory variables is what you alter, and the response variable that's what occurs as a result of that change. This is an excellent route to conceive of variable.

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The kinetic energy of the photoelectrons emitted is calculated as 2.23 *10^-19 J .

Photoelectrons are the electrons which are produced when energetic photon of radiation strikes a molecule. Photoelectron is an electron ejected from atom, molecule, or solid by an incident photon.

In terms of behavior and properties, photoelectrons are no different from other electrons.

E= h c/λ

= 6.6 *10^-34 * 3 * 10^8/400 * 10^-9

= 4.95 *10^-19 J

Work function = 1.7 eV= 1.7 * 1.6 *10^-19

= 2.72 *10^-19 J

Hence,  kinetic energy of photo electrons emitted will be;

= 4.95 *10^-19 J -  2.72 *10^-19 J

kinetic energy = 2.23 *10^-19 J

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The fuel pulls the shuttle with a force acting of 1.625 105N. Noticing any change in the object's state of motion is one approach to identify a force operating on it.

Recognize many categories or types of forces and how each might have a different impact on the human body. There are three different categories of force: friction and normal force, contact and non-contact force, and internal and external force.

The force on a body expressed as a change in momentum is,

where F is the force the fuel exerts on the shuttle, P is the change in momentum it experiences, and T is the entire time needed.

Considering the query we have,

ΔP=325000=3.25×10⁵kg-m/s

t=2 second

By substituting the required values in equation (1) we get;

Hence, the force exerted by the fuel on the shuttle is 1.625×10⁵N.

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Answer: E = (0, -(b/(a^2+y^2)))

Explanation:

The electric field is given by the negative gradient of the electric potential: E = -∇V.

In this case, the electric potential V is a function of y only, so the electric field will only have a y-component. The y-component of the electric field can be calculated using the gradient:

Ey = -(∂V/∂y)

= -(b/(a^2+y^2))

The x-component of the electric field is zero because the electric potential does not depend on x.

Therefore, the electric field is given by:

E = (0, Ey)

= (0, -(b/(a^2+y^2)))

Question 1

T=2*pi*sqrt(m/k) 

dimension of T=sec

dimension of 2*pi=nil(dimensionless)

dimension of m=kg

equation dimension

sec=sqrt(kg/k)

sec^2=kg/k

k=kg/sec^2

so dimension of k will be 

MT^(-2) 

dimension of N/m=kgms^(-2)/m=kgs^(-2) so it is same 

Question 2

F=Gm1*m2/r^2

Dimension of F=MLT^(-2)

MLT^(-2)=G*M*M/L^2

G=ML^3T^(-2)/M^2=M^(-1)L^(3)T^(-2)

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We first draw a force diagram that shows the forces acting on the child-seat system and apply Newton's second law to solve the problem. The child's path is an arc of a circle, since the top ends of the chains are fixed. Then at the lowest point the child's motion is changing in direction: He moves with centripetal acceleration even as his speed is not changing and his tangentialacceleration is zero.

∑F=Fnet=2T−mg=ma= mv²/r

With:

Fnet =2T−mg=2(300N)−(40.0kg)(9.80m/s² )=208N

solving for v gives,

[tex]v = \sqrt{ \frac{f \:net.r}{m} } = \sqrt{ \frac{208.3}{40} } = 3.95 \frac{m}{s} [/tex]

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a) The x, y, and z components of reaction at A necessary for equilibrium of the rod are Aₓ = 950 N, Ay = 0, Az = 950 N

b) The tension in the cable BC and BD are T BC = T BD = 554.17 N.

For the force along BC, we have,

r bar BC = OC - OB = <0, -2, 3> - <6, 0,0> = -6 i - 2 j + 3 k

r^ BC = r bar BC / r BC = (-6 i - 2 j + 3 k)/7

T bar BC = T BC r^ BC = (T BC/7) × (-6 i - 2 j + 3 k)

r bar BD = OD - OB = <0, 2, 3> - <6, 0,0> = -6 i + 2 j + 3 k

r^ BD = r bar BD / r BC = (-6 i + 2 j + 3 k)/7

T bar BD = T BD r^ BD = (T Bd/7) × (-6 i + 2 j + 3 k)

Vertically downward force F bar = -F k^ = -950 k^

The condition for translational equilibrium is:

Σ F bar k^ = 0

Σ F k,x = 0

Σ F k,y = 0

Σ F k,z = 0

Then,

Aₓ - 6T BC/7 - 6T BD/7 = 0            ----(1)

A y - 2T BC/7 + 2 T BD /7 = 0       ----(2)

Az - 3 T BC/7 + 3 T BD/7 -950 = 0 ---(3)

"For rotational equilibrium we have the sum of torques about the origin O."

τ bar BC = OB bar × T bar BC

= det [ i j k, 6 0 0, -6 -2 3] = T BC/7 ( i (0) - j (18) + k(-12)) = T BC/7 ( -18 j - 12 k)

τ bar BD = OB bar × T bar BD

= det [ i j k, 6 0 0, -6 2 3] = T BD/7 ( i (0) - j (18) + k(12)) = T BD/7 ( -18 j + 12 k)

The condition for translational equilibrium about the origin is:

Note that the torque of the reaction force about the origin is zero.

Σ τ bar O = 0

τ bar BC + τ bar BD + τ bar F = 0

T BC/7 ( -18 j - 12 k) + T BD/7 ( -18 j + 12 k) + 3 F j= 0

T BC/7( -18) + T BD/7 ( -18) + 3F = 0

T BC/7( -12) + T BD/7 ( 12) = 0

18T BC/7 + 18T BD/7 = 3F ----(4)

-12 T BC/7 + 12 T BD/7 = 0 ----(5)

From the above equations, we have,

T BC = 21 F/36 = 21(950)/36 = 554.17 N

T BC = T BD = 554.17 N

So, we get Aₓ = 950 N

Ay = 0

Az = 950 N

The given question is incomplete. The complete question contains a diagram which is given in the attachment below.

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A system of laws is held to a standard by fundamental law, also known as organic law.

The majority of state and federal constitutions are regarded as prime instances of basic law. A system of fundamental laws lays out the guiding principles upon which all other laws must be based.

This type of law is employed in a constitution to establish the fundamental categories of rights and obligations for both citizens and the government.

For instance, the US Constitution outlines some of the most important rights of US citizens while also granting the government both powers and constraints.

Therefore, A system of laws is held to a standard by fundamental law, also known as organic law.

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The bullet launched from 60 travels faster vertical velocity than the one shot from 30, therefore it flies higher for a longer period of time.

How does a projectile's vertical component of velocity impact its horizontal component?

Gravity causes a vertical acceleration with a value of 9.8 m/s/s downward, whereas a projectile's horizontal velocity is constant (a number that never changes). A projectile's vertical velocity varies by 9.8 m/s each second.

Is there ever zero vertical velocity?

When a projectile reaches its maximum height, the vertical component of velocity may be zero. Immediately before to the direction of the vertical component changing and the item changing course, a projectile's vertical component is at its highest point.

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Energy which is lost by the car on descent is 980×10⁴ J

Let us calculate the energy of car at various heights.

At height 3000 m:

Mass (m) = 1000 Kg

Given, Acceleration due to gravity (g) = 9.8 m/s²

Height (h) = 3000 m

Energy (E) = To be calculated

E = mgh

E = 1000 × 9.8 × 3000

E = 29400000 J

At height 2000 m:

Mass (m) = 1000 Kg

Acceleration due to gravity (g) = 9.8 m/s²

Height (h) = 2000 m

Energy (E) =?

E = mgh

E = 1000 × 9.8 × 2000

E = 19600000 J

Finally, we shall determine the the energy lost

Energy calculated 3000 m = 29400000 J

Energy calculated 2000 m = 19600000 J

Energy lost =?

Energy lost = Energy at 3000 m – Energy at 2000 m

Energy lost = 29400000 – 19600000

Energy lost = 980×10⁴ J

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The amount of energy lost by the car when it descended from a height of 3000 m to 2000 m is 980 ×  10⁵ J.

Given that,

Mass m = 1000 kg

Acceleration due to gravity g = 9.8 m/s²

Height h = 3000 m

Energy E = ?

We know that, E = m g h = 1000 × 9.8 × 3000 = 29400000 J = 294 × 10⁵ J.

At height 2000 m, the energy is,

E = m g h = 1000 × 9.8 × 2000 = 19600000 J = 196 × 10⁵ J.

The difference in energies at the height 3000 m and 2000 m is nothing but the energy lost.

So, the energy lost = 29400000 J - 19600000 J = 980 × 10⁵ J

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The effective value of g, the acceleration of gravity, at 6700m , above the Earth's surface is 9.79 m/s².

Given:

G=gravitational constant = 6.67x10⁻¹¹ m³/(kg.s²)

M=the Earth's mass = 5.97x10²⁴ kg

r=  Earth's radius = 6371 km  +6700m

r=6371000m+6700m

r=6377700m

For gravitation we use following:

F=GmM/r^2

which on further derivation gives

ma=GmM/r^2 , which results in

a=GM/r^2

Now putting the values in a=GM/r^2

a=6.67x10⁻¹¹ m³/(kg.s²)*5.97x10²⁴ kg/6377700^2

a=9.79 m/s²

Hence, The effective value of g, the acceleration of gravity, at 6700m , above the Earth's surface is 9.79 m/s².

then at 7000km i.e. 7000000m

All will be same except r= 6371000m+7000000m

r=13371000m and

r^2 =1.78*10^14.

putting values

a=6.67x10⁻¹¹ m³/(kg.s²)*5.97x10²⁴ kg/1.78*10^14.

a=2.23*10^28 m/s.

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Answer:

wavelength

Explanation:

red has the longest wavelength, violet has the shortest (ROYGBIV)

The 3rd force is (-11 I + 9 j + 64 k) Newton, according to the information given in the question.

A pull or push from which an object experiences as a result of interacting with another item is known as a force. whenever two items engage with one another. Force is used to describe a body's tendency to change or alter its state as a result of an external cause. When force is applied, the object can also alter its size, shape, and direction. kicking a ball, pushing and pulling on the door, or kneading dough are a few examples.

Because the weight is in equilibrium, hence sum of total forces must be equal to 160 N.

Therefore,

F1 + F2 + F3 = 160

(-2î-24ĵ+11k) + (13î+15j+85k) + F3 = 160 k

(Since force of gravity is along the z-axis)

11 i - 9 j + 96 k + F3 = 160 k

F3 = (-11 i + 9 j + 64 k) N.

Components of third force are -

11 Newton along X-axis

9 Newton along Y-axis

64 Newton along Z-axis

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The radius of the Ferris wheel is 0.5 m if its angular speed is 0.0250 rad/s.

To find the radius of the Ferris wheel, we can use the formula for the centripetal force, which is:

Where:

We can rearrange the equation to solve for r:

Plugging in the given values:

Solving for r:

So the radius of the Ferris wheel is 0.5 meters.

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The Correct Sequence is:

What is the Scientific method?

The scientific method is the approach that scientists use to understand, answer, and explain natural phenomena and events.

The method follows a series of steps that begin with observation, asking questions, conducting background research, and leading to the formation of hypotheses that deny the possibility of explaining the phenomenon to its limits.

Explanation:

Hypotheses are then tested by experiments, and results can be provided to prove or disprove the hypothesis. Results are analyzed and conclusions are drawn based on them. After analyzing the results needs to published and communicated.

Hence, the following is the correct sequence.

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A student writes down several steps of the scientific method , the correct order of steps are discussed below

The proper order is:

1.Make a hypothesis.

2.Conduct an experiment.

3.Analyze the experimental data.

4.Communicate the results.

Experiments are used to test hypotheses, and the results can either support or refute the hypothesis. On the basis of the results, conclusions are drawn. The results must be published and communicated after they have been analyzed.

Therefore, the order that follows is correct.

Scientists use the scientific method to comprehend, respond to, and explain natural phenomena and events. The method involves observing the phenomenon, asking questions, conducting background research, and coming up with hypotheses that deny the possibility of fully explaining it.

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To find the distance that the car slides once the brakes are applied, we can use energy analysis. We know that the initial kinetic energy of the car is given by:

E_i = 0.5 * m * v^2 = 0.5 * 14700 N * 25 m/s^2 = 148750 J

And the final kinetic energy of the car is zero, since it comes to a stop. The change in kinetic energy is therefore:

ΔE = E_f - E_i = 0 - 148750 J = -148750 J

The work done by the brakes is equal to the change in kinetic energy, so we can write:

W = ΔE = -148750 J

The braking force is given as 7100 N, so the distance that the car slides is given by:

d = W/F = -148750 J / 7100 N = -20.9 m

Therefore, the car will slide a distance of approximately 20.9 meters once the brakes are applied.

Nearby stars appear to move in comparison to background stars that are farther away due to Earth's rotation around the Sun. This mobility, which is not "actual" moving, is known as stellar parallax.

Parallax is one of the most important methods of distance measurement used by astronomy. Although it is quite accurate, it can only be used for stars that are close by. The method compares the background motion of further away objects to the moving object of nearby objects.

Stellar parallax, which may be used to determine an object's distance using trigonometry, is the apparent shift in location of any nearby star (or other object) when contrasted to other objects at a distance.

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The resultant velocity of the raft is calculated using the triangle law. The resultant velocity is 0.75 m/s.

The velocity of a moving object is the measure of the distance it covered per unit time. It is a vector quantity and have both direction and magnitude. If an object is moving through another moving object such as a river, the net velocity of the object will be different from its original velocity.

Given that, the raft is moving through a river to the north with a speed of 1.5 m/s and the river current has the velocity of 0.50 m/s. The river current is moving in horizontal direction and the resultant velocity can be determined using the Pythagorean theorem.

Thus, the resultant velocity is the hypotenuse of the triangle.

then resultant velocity = √(1.5² + 0.5² ) = 0.75 m/s

Therefore, the resultant velocity of the raft is 0.75 m/s

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The true response is A. The greatest amount of solid particles that a stream can transport in a given amount of time is known as capacity.

The categorization of the sediment is based on their size. From smallest to largest in size, they may be divided into the following categories: clay, silt, sand, pebbles, cobble, and boulder.

Small sand grains between 0.2 mm and 0.5 mm are the particles in a stream that dissolve the most quickly. Any object that is smaller or larger needs more water moving past it in order to be degraded and entrained inside the flow.

Competence is a measure of a person's skill, whereas capacity is the greatest load of solid particles a river can move in a unit of time. The capability of a stream to move particles as per size rather than amount.

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The Correct Question is:

________ is the maximum load of solid particles a stream can transport in a unit of time.

A) Capacity

B) Competence

C) Silt

D) Bed Load

If two friends simultaneously pull on an object with the same force, each spreading out evenly, then the object will move in a particular straight direction where the force is pulling.

force is applied to a substance, and as a result, the displacement of an object is seen, which affects the directions and the movement of the substance, such as when a high-intensity force changes the velocity more while a lower-intensity force leads to a low velocity.

Hence, if two friends simultaneously pull on an object with the same force, each spreading out evenly, then the object will move in a particular direction where the force is pulling.

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The force exerted on the hockey by the stick is -56.7 N.

Force is the product of mass and acceleration.

To calculate the force on the hockey, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the force on the hockey is -56.7 N.

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The invention of the chronometer was important because it allowed for more accurate navigation at sea.

Prior to the invention of the chronometer, navigators had to use the sun, stars, and other celestial bodies as a means of determining their location.

This was often inaccurate and could put ships in danger of getting lost at sea. The invention of the chronometer allowed for a more accurate and reliable way of keeping track of time and location, which made for safer and more efficient navigation.

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The length of the copper wire at -12°C or 261 K is 20 m. The length will increases to 23 m at 26 °C or 299 K.

As the temperature increases, the kinetic energy of particles in a solid increases to weaken the intermolecular attractive force between them. As the force weakens, the particle - particle gas increases, results in expansion of the material.

The length of a solid material increases relatively in summer due to thermal expansion. The length of copper wire at winter is given 20 m.

temperature  =  - 12 °C or 261 K (-12 +273)

temperature at summer = 26 °C or 299 K

Length of the wire at 299 K = (299 × 20 m) / 261 = 23 m

Therefore, the length of copper wire in summer will be about 23 m.

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Answer:

120 meters

Explanation:

To find the displacement in the velocity-time graph, we can do that by finding the area under the graph. Since from t = 0 to 4, the points form a right triangle, we can find the area by using triangle area formula:

[tex] \displaystyle{A = \dfrac{1}{2} \times b \times h}[/tex]

We know that base is 4 and height is 60. Therefore:

[tex] \displaystyle{A = \dfrac{1}{2} \times 4\times 60} \\ \\ \displaystyle{A = 2\times 60} \\ \\ \displaystyle{A = 120}[/tex]

Since area is 120 under the graph then that means the displacement is 120 meters.

The location of the height of her image is calculated to be 1.19 m behind the mirror.

We must establish a frame of reference in order to characterize the situation. To determine an object's position, we frequently utilize the Earth as a point of reference.

The important thing to remember in this situation is that we should use a reference that, in most cases, is not stationary and is instead moving.

Given that,

Object distance u = -2 m

Focal length f = - 0.75 m

By mirror equation,

1/v + 1/u = 1/f

1/v = -1/0.75 + 1/2

On solving we get,

1/v = -1.34 + 0.5

v = - 1.19 m

Thus, the location of her image is 1.19 m behind the mirror.

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A ride at an amusement park moves the riders in a circle at a rate of 6.0 m/s, then the acceleration of the ride is calculated as 4.0 m/s².

The property of the motion of an object traversing circular path is known as centripetal acceleration. An object that is moving in circle and also has an acceleration vector pointed towards center of that circle is called Centripetal acceleration and the unit of centripetal acceleration is m/s².

As given velocity, v= 6m/s

radius, r= 9m

As we know that, centripetal acceleration = v²/r

= 6²/9

Hence, centripetal  acceleration = 4 m/s²

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