please help!!
If an object were in motion, how might you use a magnet to change the direction of its motion? Diagram the setup and explain your reasoning.​

Answers

Answer 1

If the object in motion has some magnetic properties or contains a magnet, we can use another magnet to change its direction of motion by exerting a force on it through magnetic interaction. This principle is known as the Lorentz force.

Here's how we can set up the experiment:

Take a magnet and place it on a flat surface.

Take another magnet or the object with magnetic properties that is in motion.

Hold the magnet or the object in your hand and bring it close to the stationary magnet without touching it.

Move the magnet or the object towards the stationary magnet and observe its behavior.

If the magnet or the object has the same polarity as the stationary magnet, they will repel each other, and the motion of the object will be deflected in a direction away from the stationary magnet. If the magnet or the object has opposite polarity to the stationary magnet, they will attract each other, and the motion of the object will be deflected in a direction towards the stationary magnet.

Here's a diagram to help you visualize the setup:

                 N   S          N   S

       __________    __________

      |                       |  |                     |

      |   M1               |  |           M2     |

      |__________|  |__________|

              ( )                             ( )

               |                               |

        Motion              Stationary

        Object                 Magnet

In this diagram, M1 represents the motion object or magnet, and M2 represents the stationary magnet. The N and S represent the North and South poles of the magnets. The arrows indicate the direction of motion and the direction of the magnetic field.

As we move M1 towards M2, the magnetic interaction will exert a force on M1, causing it to change its direction of motion. The direction of deflection will depend on the polarity of the magnets.

Note: It's important to keep in mind that the magnetic force is only one of the many factors that can affect the motion of an object. Other factors such as friction, air resistance, and gravitational forces can also play a significant role.

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Related Questions

which of the following has the greater density? neither, they both have the same density a piece of glass that weighs 500 grams a piece of glass that weighs 50 grams

Answers

Density is defined as mass divided by volume. Therefore, in order to compare the densities of two objects, we need to know their masses as well as their volumes.

In this case, we are comparing two pieces of glass, one weighing 500 grams and the other weighing 50 grams. However, we do not have any information about their volumes.

Without knowing the volumes of the glass pieces, we cannot determine which one has a greater density. Density depends on both mass and volume, so we need information about both parameters to make a comparison.

Therefore, based on the given information, we cannot determine which of the two glass pieces has a greater density.

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Brain pop as tim and moby are going higher on the ski lift, what is happening to their potential energy?.

Answers

Answer:

it is increasing

Explanation:

gpe is highest at highest point of travel

What does it mean to say that mass is conserved during a physical change? ​

Answers

This law states that, despite chemical reactions or physical transformations, mass is conserved — that is, it cannot be created or destroyed — within an isolated system. In other words, in a chemical reaction, the mass of the products will always be equal to the mass of the reactants.

Answer:

100% oon test

Explanation:This law states that, despite chemical reactions or physical transformations, mass is conserved — that is, it cannot be created or destroyed — within an isolated system. In other words, in a chemical reaction, the mass of the products will always be equal to the mass of the reactants.

A 0.2 kg cue ball moving at TO m/s hits a 0.15 kg 8 ball at rest., The cue ball continues rolling forward at 1 ms. What is the velocity of the 8 ball?

Answers

The final velocity of the 8 ball is 12 m/s

What is the momentum?

When we talk about the momentum what we mean is that the momentum is the product of the mass and the velocity of a body and e know that it is known to be a vector quantity as shown.

From the principle of the conservation of momentum;

Momentum before collision = Momentum after collision

(0.2 * 10) + (0.15 * 0) = (0.2 * 1) + (0.15 * v)

2 = 0.2 + 0.15 v

1.8 = 0.15v

v =1.8/0.15

v = 12 m/s

Hence the velocity is 12 m/s

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two people, each of 70 kg mass, are riding in an elevator. one is standing on the floor (f). the other is hanging on a rope suspended from the ceiling (r). compare the acceleration of the first person to the acceleration of the second person. which statement is correct? a. they are equal and opposite in direction. b. they are equal and have the same direction. c. the acceleration is greater than , but they have the same direction. d. the acceleration is greater than , but they have opposite directions. e. the acceleration is less than , but they have the same direction.

Answers

The acceleration of the person standing on the floor (F) is equal to the acceleration of the person hanging on the rope suspended from the ceiling (R). Both accelerations have the same magnitude and direction. The correct option is b.


The acceleration of the first person is equal to the acceleration of the second person. The two people, one standing on the floor and the other hanging on a rope suspended from the ceiling, have the same acceleration in the same direction.

According to Newton's laws of motion, each body has its own gravitational force acting on it. The gravitational force is determined by the mass of an object and the gravitational field that surrounds it.

The weight of the person on the floor of the elevator can be computed by multiplying his mass by the acceleration due to gravity. The weight of the person hanging from the ceiling can also be calculated in the same way. Although his weight is not in the downward direction of the gravitational field, his mass is still influenced by it.

The tension in the rope, on the other hand, is equal in magnitude to the gravitational force on the person hanging from it, but in the opposite direction. The tension opposes the force of gravity on the person in this case. It's the same as the weight of the person hanging from the ceiling.

In summary, the acceleration of the first person to the acceleration of the second person b. are equal and have the same direction.

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Please help asdfghjkll

Please help asdfghjkll

Answers

Answer:

B

Explanation:

in comparison, the sun is a soccer ball, and the earth is a head of a needle, and the moon is a speck of salt

what is the velocity of the 0.220-kg ball after the collision, in m/s? use a positive number for east and a negative number for west.

Answers

To answer this question, we need more information about the collision. In particular, we need to know what the ball collided with and what the initial velocity of the ball was. Without this information, it is impossible to calculate the velocity of the ball after the collision.

Assuming we have all the necessary information, we can use the principles of conservation of momentum to calculate the velocity of the ball after the collision. According to this principle, the total momentum of the system (ball + object it collided with) before the collision is equal to the total momentum of the system after the collision.

If we assume that the collision is perfectly elastic, meaning that no energy is lost in the collision, we can also use the principle of conservation of kinetic energy. This principle states that the total kinetic energy of the system before the collision is equal to the total kinetic energy of the system after the collision.

Using these principles, we can set up equations to solve for the final velocity of the ball after the collision. However, the specific equations will depend on the details of the collision.

In summary, we cannot answer the question without more information about the collision. However, if we have all the necessary information, we can use the principles of conservation of momentum and kinetic energy to calculate the final velocity of the ball after the collision.

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PLEASE HELP Due Soon!
When the motion energy of an object changes, energy is being transferred. How do you know that's true?​

Answers

Answer:

Explanation:  

When objects collide, energy can be transferred from one object to another, thereby changing their motion. In such collisions, some energy is typically also transferred to the surrounding air; as a result, the air gets heated and sound is produced.

what is the greatest distance you can be from base camp at the end of the third displacement regardless of direction

Answers

To determine the greatest distance you can be from the base camp at the end of the third displacement, regardless of direction, we need more specific information about the magnitudes and directions of the displacements.

Displacement is a vector quantity that has both magnitude and direction. The distance covered during multiple displacements depends on the individual magnitudes and directions of each displacement. Without specific values, it is not possible to determine the exact greatest distance from the base camp.

If you provide the magnitudes and directions of the three displacements, I can help you calculate the total distance and determine the maximum possible distance from the base camp at the end of the third displacement.

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6. If a bicyclist, with initial velocity of zero, steadily gained speed until reaching a final velocity of 39m/s, how far would she travel
during the race in the same amount of time)?

Answers

Answer:

  175 m

Explanation:

The average velocity for constant acceleration is the average of the beginning and ending velocities. That is (0+39)/2=19.5 m/s. If the bicyclist rides for 9 seconds, the distance traveled is ...

  (9 s)(19.5 m/s) = 175.5 m

She would travel 175.5 meters in that time.

The distance traveled by the bicyclist at the same time period is 175.5 m.

Your question not complete, i believe it is missing this additional information below:

"Seven bicyclist are racing. Each bicyclist rides for 9s, If a bicyclist, with initial velocity of zero, steadily gained speed until reaching a final velocity of 39m/s, how far would she travel during the race in the same amount of time?"

The given parameter:

initial velocity of the bicyclist, u = 0

final velocity of the bicyclist, v = 39 m/s

time of motion of the each bicyclist, t = 9s

To find:

The distance traveled by the bicyclist

Let the distance traveled by the bicyclist = s

The distance traveled by the bicyclist at the same time period is calculated as;

\(s = (\frac{u+v}{2} )t\\\\s = (\frac{0 + 39}{2} ) \times 9\\\\s = 19.5 \times 9\\\\s = 175.5 \ m\)

Thus, the distance traveled by the bicyclist at the same time period is 175.5 m.

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Why does a hard and smooth object reflect better than a soft surface?

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A hard and smooth object reflects better than a soft surface due to the way that light interacts with the object's surface. When light hits a surface, it can be either absorbed or reflected.

In the case of a hard and smooth surface, such as a mirror or a metal surface, the surface is able to reflect light back in a more direct and focused manner. This is because the surface is able to create a more even surface for the light to bounce off of, allowing it to reflect back with less distortion.

On the other hand, a soft surface, such as a piece of cloth or a sponge, is less able to reflect light back in a direct and focused manner due to its uneven surface. The fibers or pores on the surface of the material scatter the light in many different directions, resulting in a less reflective surface.

Overall, the smoothness and hardness of an object's surface play a significant role in determining how well it can reflect light.

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What is difference between rod and cones?

Answers

The retina, the part of the eye that detects light, contains two types of cells that sense light: rods and cones. These cells are responsible for our ability to see both in bright and dim light.

Rods are responsible for our vision in low light conditions, such as in the evening or at night. They are sensitive to light and movement, but they do not provide color vision. Instead, they detect shades of gray. Rods are more numerous than cones and are located mostly in the peripheral area of the retina.

Cones, on the other hand, are responsible for our color vision and for seeing fine details in bright light conditions, such as during the day. They are located in the central area of the retina, called the fovea, and are less sensitive to light than rods. There are three types of cones, each sensitive to a different range of colors: red, blue and green. These three types of cones allow us to perceive a wide range of colors.

In summary, rods and cones are two types of cells in the retina that are responsible for our ability to see. Rods are sensitive to light and movement, but do not provide color vision, while cones are responsible for color vision and seeing fine details in bright light conditions.

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The slope of a distance vs. time graph is a measurement called
A. displacement
B. speed
C. correlation
D. velocity

Answers

Answer:

B. speed

Explanation:

im not sure hahahaha

You must exert a force of 4. 5N on a book to get it to slide across a table. If you do 2. 7J of work in the process, how far have you moved the book

Answers

If you do 2. 7J of work in the process, you have moved the book 0.6 meters

The work done, force exerted and distance moved by an object are all connected. Work done on an object is defined as the product of the force exerted on the object and the distance moved by the object in the direction of the force.

Mathematically, we can express this relationship as:

W = Fd

where W is work done, F is force, and d is distance.

Using this relationship, we can calculate the distance moved by the book as follows:

We know that work done is 2.7 J, and force exerted is 4.5 N.

Therefore:

W = Fd

2.7 = 4.5 × d

d = 2.7/4.5 = 0.6 m

Therefore, you have moved the book 0.6 meters

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Count the neutral conductor of a 4-wire, 3-phase, wye-connected circuit when the major portion of the load is electric discharge lighting (fluorescent, mercury vapor, high-pressure sodium, etc.), data processing, and other loads where the neutral conductor carries ____ current.

Answers

The neutral conductor in a 4-wire, 3-phase, wye-connected circuit carries the unbalanced load current when the load isn't entirely symmetrical.  

The neutral conductor carries zero current in a perfectly balanced three-phase system. The sum of the three phase currents equals zero, and the neutral conductor's current is therefore equal to zero. However, when the load isn't entirely symmetrical, the sum of the three phase currents isn't equal to zero, and the neutral conductor carries current, known as the unbalanced load current.The majority of the load in electric discharge lighting, data processing, and other similar loads are single-phase loads. As a result, in a 3-phase system, the neutral conductor carries the unbalanced load current produced by single-phase loads in these applications. The neutral conductor's size in a 4-wire, 3-phase, wye-connected circuit is based on the highest single-phase load and not the sum of all three phases. If the highest single-phase load is unknown, then the neutral conductor size should be based on the sum of all three phases.

A neutral conductor carries the unbalanced load current in a 4-wire, 3-phase, wye-connected circuit when the major portion of the load is electric discharge lighting, data processing, and other loads where the neutral conductor carries single-phase loads. If the load is balanced, the neutral conductor carries no current. However, if the load is unbalanced, the neutral conductor's size is determined by the highest single-phase load, not the sum of all three phases.

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positive charge of q coulombs is uniformly spread over a large flat surface of area 6.77 meters squared. what would q need to be to make the magnitude of the electric field 0.00264 meters away from the surface equal to 1.43 n/c?

Answers

The Q need to be to make the magnitude of the electric field 0.00264 meters away from the surface equal to 1.43 nC is 1.07 × 10⁻⁹ C.

The  magnitude of the electric field at the point near the charged surface is as :

E = Q / (4 × π × ε × A)

Q = E ( 4 × π × ε × A)

Where

E = 1.43 nC

ε = 8.85 x 10⁻¹² C²/N m²

A = 6.77 m²

Q = E ( 4 × π × ε × A)

Q  = 1.43 × 4 × 3.14 × 8.85 x 10⁻¹² × 6.77

Q = 1.07 × 10⁻⁹ C

Thus, the charge is  1.07 × 10⁻⁹ C.

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Why is Florida more vulnerable to the effects of climate change? ​

Answers

Answer:

Along the Atlantic and Gulf Coasts of Florida, the land surface is also sinking. If the oceans and atmosphere continue to warm, sea level along the Florida coast is likely to rise one to four feet in the next century. Rising sea level submerges wetlands and dry land, erodes beaches, and exacerbates coastal flooding.

Explanation:

A 10- kilogram box is at static equilibrium and the downward pull of gravity acting on the box is 98 Newton's what is the minimum force that would be required to just pick up the box ?

Answers

Answer:

Explanation:

Now

Look at it this way. This box is in equilibrium... Meaning forces around balanced out.

Now...

The Earth's pull on it is 98N

What Minimum external forces is needed to pick this up....

Now... The Minimum Force is 98N

Why?

Since This Box is under the influence of gravity...

Gravity is acting as a resistance

If you apply a force less than 98N... Let's say 50N on this box... It won't budge because your applied force is less than the resisting force on it(98N).

So We need a force ≥98. So the least force is 98N. Nothing below this will move the Box

Answer 98N.

Answer:

See image

Explanation:

Plato

A 10- kilogram box is at static equilibrium and the downward pull of gravity acting on the box is 98

A pool ball moving 1.33 m/s strikes an identical ball at rest. Afterward, the first ball moves 0.814 m/s at a 33.3° angle. What is the x-component and y-component of the velocity of the second ball? pls help quick

Answers

Answer:

X - component = v2 = 0.650 m/s

Y - component = v2 = 0.447 m/s

Explanation:

Given that :

Conservation of momentum

m1u1 + m2u2 = m1v1 + m2v2

m = mass of pool ball ; u = initial velocity ; v = final velocity

Since the masses are identical

x - component

u1 + u2 = v1 + v2

u1 = 1.33 m/s

u2 = 0

Final speed of first ball = 0.814 m/s at an angle of 33.3° ;

v1 = 0.814*cos33.3 = 0.814 * 0.8358073 = 0.6803471 m/s

v2x = u1x + u2x - v1

v2x = 1.33 + 0 - 0.6803471

v2x = 0.6496529 m/s

v2x = 0.650 m/s

Y - component :

v1sinθ= 0.814*sin33.3 ; 0.814 * 0.5490228 = 0.4469045 m/s

v2y = 0.447 m/s

Answer:

the y component is -0.477

Explanation:

u1+u2=v1+v2

u1=1.33, u2=0, v1= 0.814sin(33.3)= 0.477, v2=?

so, 1.33+0=0.477+x =

-0.477

what is the resistance of an object that produces a current of a 6 A and has a voltage of 30 ​

Answers

Answer:

this is the answer the required questions

hope you like this

what is the resistance of an object that produces a current of a 6 A and has a voltage of 30

What are two ways the brain can be manipulated

Answers

Answer:

Meditation and Positive Thinking

Explanation:

41 m/s is struck by a baseball bat of mass m and speed 37 m/s (in the opposite direction of the ball's motion). After the collision, the ball has initial speed u(m)=77m−6.87/m+0.11m/s Show that u' 
(m)>0 and interpret this in baseball terms. Compare u'(0.9) and u'(1.5). Round your final answer to two decimal places. u'(0.9)≈ and u'(1.5)≈ The rate at which this speed is increasing is

Answers

The velocity of the ball before and after collision as V₁ = 41m/s and V₂ = 37m/s respectively, and the mass of the ball as m.The velocity of the bat = 37m/s (opposite direction to the ball). Therefore, the relative velocity of the ball with respect to the bat, V = V₁ - V₂= 41 - 37 = 4 m/s.The coefficient of restitution (e) is defined as the ratio of the relative velocity of separation to the relative velocity of approach.e = V₂’ - V₁’ / V₁ - V₂, where V₂’ and V₁’ are the velocities of the ball and bat after collision.e = V₂’ / V₁ = (77 - 0.11m) / 37, V₂’ = (77 - 0.11m)  37 / 37 = 77 - 0.11m.

The velocity of the ball is u(m) = 77 - 6.87/m + 0.11m/s.Understanding:

To show that u’ (m) > 0, we need to find the derivative of u(m) with respect to m. That is, u’(m) > 0 if and only if du(m) / dm > 0.

Calculation:

u(m) = 77 - 6.87/m + 0.11m/s∴ u’(m) = 6.87/m² + 0.11From the above equation, it is evident that u’(m) > 0 because m² > 0. Therefore, the velocity of the ball increases with increasing mass m.

Interpretation:

In baseball terms, when the mass of the ball increases, the velocity of the ball also increases.

A ball with higher velocity can travel farther when hit with a bat. Therefore, it is always an advantage to use a heavier ball.u’(0.9) = 8.81 m⁻²/s, u’(1.5) = 5.60 m⁻²/sRate of increase of speed is u’(m).Answer:u’(0.9) ≈ 8.81 m⁻²/s, u’(1.5) ≈ 5.60 m⁻²/s.The rate at which this speed is increasing is u’(m).

About Velocity

Velocity is a foreign term that means speed. Speed ​​is the locking of an object every single unit of time. Acceleration or acceleration is the change in velocity in a certain unit of time. The acceleration of an object is caused by a force acting on the object, as explained in Newton's second law. The SI unit for acceleration is meters per second squared (m s−2). What is the difference between speed and pace? Velocity or speed is the quotient between the distance traveled and the time interval. Velocity or speed is a scalar quantity. Speed ​​​​or speed is the result of separation with an interval. Speed ​​or velocity is a vector quantity.

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The velocity of a ball about the elbow joint is 30.0rad/s and the ball is 1.30 m from the elbow joint what is he velocity of the ball

Answers

Answer:

39.0 meters per second

Explanation:

So the linear speed of the ball then is that distance from the pivot to the ball times by the angular speed. So this is 1.30 meters times 30.0 radians per second which is 39.0 meters per second.

what most organisms do in order to survive in the world? Check all that apply
produce offspring
maintain structure
obtain energy
breathe oxygen

Answers

Answer:

all of the above

Explanation:

Calculate acceleration if net force acting on an object is 140N and mass
is 15 kg

Answers

Answer:

9.33333333 m / s2

Explanation:

140 N divided by 15 kg

A rock on the ground weighs 40N. How much force does the ground exert on the rock?

A. 20n
B. 0N
C.40n

Answers

Answer:

The correct option is;

C. 40 N

Explanation:

Given that the rock is on the ground, we have;

The weight of the rock, \(F_W\) = 40 N ↓

From Newton's third law of motion, we have that action and reaction are equal and opposite,

Therefore, given that the weight of the rock exerts a force of 40 N on the ground, and the rock is stable and stationery on the ground, then the ground is reacting to the weight of the rock with an equal force of 40 N, acting in opposite direction to the weight of the block to balance the weight of the rock and create equilibrium such that the net force acting on the rock is zero

∑F = \(F_W + F_R\) = 0

Where;

\(F_R\) = The reaction of the ground

We have;

\(F_W\) + \(F_R\)= 40 + \(F_R\)  = 0

\(F_R\) = 0 - 40 = -40

\(F_R\) = -40 N ↓

∴ \(F_R\) = 40 N ↑.

Answer:

C, 40N

Explanation:

a long solenoid that has 1 040 turns uniformly distributed over a length of 0.410 m produces a magnetic field of magnitude 1.00 10-4 t at its center. what current is required in the windings for that to occur?

Answers

A long solenoid that has 1 040 turns uniformly distributed over a length of 0.410 m produces a magnetic field of magnitude 1.00 10-4 T at its center.

To calculate the current required in the windings for this to occur, we will use the formula: B = μnI, where B = magnetic field, n = number of turns per unit length, I = current, and μ = permeability of free space.Substituting the given values into the formula, we have:B = μnI1.00 x 10^-4 T = 4π x 10^-7 T m/A x (1040/0.410) x IThe number of turns per unit length is n = 1040/0.410 = 2537.8 turns/m.I = (1.00 x 10^-4)/(4π x 10^-7 x 2537.8)I = 0.781 ATherefore, the current required in the windings for a long solenoid that has 1 040 turns uniformly distributed over a length of 0.410 m that produces a magnetic field of magnitude 1.00 x 10^-4 T at its center is 0.781 A.
To find the current required in the solenoid windings, you can use the formula for the magnetic field at the center of a solenoid: B = μ₀ * n * I, where B is the magnetic field, μ₀ is the permeability of free space (4π × 10⁻⁷ Tm/A), n is the number of turns per unit length, and I is the current.

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a 80-cm3 block of wood is floating on water, and a 80-cm3 chunk of iron is totally submerged in the water. which one has the greater buoyant force on it?

Answers

The 80-cm³ block of wood floating on water and the 80-cm³ chunk of iron totally submerged in water experience different buoyant forces. The greater buoyant force is acting on the 80-cm³ chunk of iron, as it is fully submerged in water and displaces more water than the floating wood block, which only displaces water equal to its own weight.

The buoyant force on an object is equal to the weight of the displaced water. Therefore, the 80-cm3 block of wood that is floating on the water displaces 80-cm3 of water and has a buoyant force equal to the weight of that volume of water. The 80-cm3 chunk of iron that is totally submerged in the water also displaces 80-cm3 of water and has a buoyant force equal to the weight of that volume of water. Therefore, both objects have the same buoyant force acting on them.

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For transmissivity (T) = 2500 m2/day, storativity (S) = 1.0 x 10-3, and a pumping rate
(Q) = 500 m3/day, calculate drawdowns in a confined aquifer (isotropic, homogeneous, transient
condition) at observation wells located (i) 10 m and (ii) 50 m at t = 150

Answers

Answer:

The drawdown in a confined aquifer under transient conditions can be estimated using the Theis solution for the non-equilibrium radial flow of water. This solution is given by:

s = Q / (4πT) * W(u),

where s is the drawdown, Q is the pumping rate, T is the transmissivity, and W(u) is the well function (also called the Theis function) which depends on the variable u, where:

u = r²S / (4Tt),

where r is the distance from the pumping well and t is the time since pumping began.

Given T = 2500 m²/day, S = 1.0 x 10-3, and Q = 500 m³/day, we can calculate the drawdown at 10 m (r1 = 10 m) and 50 m (r2 = 50 m) for t = 150 days.

For (i) r1 = 10 m:

u1 = r1²S / (4Tt) = (10 m)² * 1.0 x 10-3 / (4 * 2500 m²/day * 150 days) = 0.000667

s1 = Q / (4πT) * W(u1) = 500 m³/day / (4π * 2500 m²/day) * W(0.000667).

For (ii) r2 = 50 m:

u2 = r2²S / (4Tt) = (50 m)² * 1.0 x 10-3 / (4 * 2500 m²/day * 150 days) = 0.01667

s2 = Q / (4πT) * W(u2) = 500 m³/day / (4π * 2500 m²/day) * W(0.01667).

Explanation:

Unfortunately, the well function W(u) cannot be evaluated directly without more specialized knowledge or tools. The well function is related to the exponential integral function, which requires numerical computation. You would typically use a table of values, a calculator with this function, or a computer program to evaluate it. After obtaining W(u), multiply it by the remaining fraction to find the drawdowns.

A trumpet plays its 3rd harmonic at 510 Hz. It then opens a valve, which adds 0.110 m to its length. What is the new 3rd harmonic frequency? (Hint: Find the original length.) (Speed of sound = 343 m/s) (Unit = Hz)​

Answers

Answer:

f = 459.8 Hz

Explanation:

When a trumpet is playing it is an open tube at both ends, therefore there is a belly in each one, the resonance occurs to

           λ = 2L             1st harmonic

           λ = 2L /2        2nd harmonic

           λ = 2L /3       3rd harmonic

 

the speed of the wave is

           v = λ f

           λ = v / f

we substitute in the third harmonic

            \(\frac{v}{f} = \frac{2L}{3}\)            (1)

            L = \(\frac{3}{2} \ \frac{v}{f}\)

            L = \(\frac{3}{2} \ \frac{343}{ 510}\)

            L = 1.009 m

indicates that to  add ΔL = 0.110 m, so the total length is

            L_total = L + ΔL

            L _total = 1.009 + 0.110

            L _total = 1,119 m

we use equation 1

            f =  \(\frac{3}{2} \ \frac{v}{L_{total}}\)

            f = \(\frac{3}{2} \ \frac{343}{1.119}\)

            f = 459.8 Hz

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