A metal sphere with radius ra

is supported on an insulating stand at the center of a hollow, metal spherical shell with radius rb. There is charge + q on the inner sphere and charge − q on the outer sphericalshell as shown below. Take the potential V to be zero when the distance r from the center of the spheres is infinite.

Calculate the potential V(r)
for r , and any appropriate constants.

Answer:

The magnitude of the total vertical force exerted by the ground on the rear wheels of the truck is 62271.86 N

Explanation:

To find the magnitude of the total vertical force exerted by the ground on the rear wheels of the truck, we need to consider the static equilibrium condition of the truck.

The weight of the truck and its contents acts downwards through its center of gravity (cg) and the normal force exerted by the ground acts upwards. The normal force is distributed between the front and rear axles of the truck according to the position of the cg.

Let F_R be the magnitude of the total vertical force exerted by the ground on the rear wheels of the truck.

Then, from the static equilibrium condition:

Sum of vertical forces = 0

F_R + (8010 kg)(9.81 m/s^2) - F_F = 0

where F_F is the magnitude of the total vertical force exerted by the ground on the front wheels of the truck.

The distance between the cg and the rear axle is given as 0.63(2.3 m) = 1.449 m.

The distance between the cg and the front axle is therefore (2.3 m - 1.449 m) = 0.851 m.

We can assume that the weight is evenly distributed between the four wheels of the truck. Therefore, the weight supported by each wheel is:

(8010 kg)(9.81 m/s^2)/4 = 19653.45 N

Using moments about the rear axle, we get:

F_F(0.851 m) - F_R(1.449 m) = 0

Solving these two equations simultaneously, we get:

F_R = 62271.86 N

Therefore, the magnitude of the total vertical force exerted by the ground on the rear wheels of the truck is 62271.86 N.

The magnitude of the total vertical force exerted by the ground on the rear wheels of the truck is approximately 62,203 N.

Static equilibrium refers to the state of an object at rest when the net force acting on it is zero. In other words, when an object is in static equilibrium, it is not accelerating in any direction and all forces acting on it are balanced.

The principle of static equilibrium states that the sum of all forces acting on an object in static equilibrium is zero, and the sum of all torques (rotational forces) acting on the object is also zero. This principle can be applied to solve problems involving the forces and torques acting on objects at rest.

Static equilibrium is important in many areas of physics and engineering, including structural analysis, civil engineering, and mechanical engineering. Understanding static equilibrium is essential for designing structures and machines that can support loads without collapsing or breaking, and for analyzing the stability of systems in various applications.

Here in the Question,

To find the magnitude of the total vertical force exerted by the ground on the rear wheels of the truck, we need to analyze the forces acting on the truck and apply the principle of static equilibrium, which states that the sum of all forces acting on an object in static equilibrium is zero.

The forces acting on the truck are the weight of the truck and its contents and the reaction forces from the ground acting on each of the four wheels. The weight of the truck and its contents can be represented as a single force acting vertically downwards at the center of gravity (cg) of the truck.

Since the truck is at rest on a horizontal road, the reaction forces from the ground acting on the wheels must balance the weight of the truck and its contents in both the horizontal and vertical directions. The horizontal components of the reaction forces cancel each other out, since the truck is at rest and not moving in the horizontal direction.

To find the vertical forces, we can first find the weight of the truck and its contents:

w = m*g

where w is weight, m is mass, and g is the acceleration due to gravity (9.81 m/s^2).

Substituting the given values, we get:

w = 8010 kg * 9.81 m/s^2 = 78,419.1 N

Next, we can find the position of the center of gravity (cg) relative to the front and rear axles of the truck:

d = L * (m1 - m2) / m

where d is the distance from the cg to the rear axle, L is the distance between the front and rear axles (2.3 m), m1 is the mass of the truck and contents behind the cg, m2 is the mass of the truck and contents in front of the cg, and m is the total mass of the truck and contents.

Substituting the given values, we get:

d = 2.3 m * (8010 kg * 0.63 - 8010 kg * 0.37) / 8010 kg = 0.743 m

Now, we can find the magnitudes of the vertical forces acting on the rear and front wheels of the truck using the principle of static equilibrium. Since the truck is not moving vertically, the sum of the vertical forces acting on it must be zero. Therefore:

Frear + Ffront = w

where Frear is the vertical force exerted by the ground on the rear wheels, Ffront is the vertical force exerted by the ground on the front wheels, and w is the weight of the truck and its contents.

The rear wheels support the weight of the truck and its contents, as well as a portion of the weight shifted forward of the rear axle due to the position of the cg. The front wheels support only a portion of the weight shifted backward of the front axle. To find the magnitudes of the vertical forces, we can use the following equations:

Frear = (m1/m)*w

Ffront = (m2/m)*w

where m1 is the mass of the truck and contents behind the cg, m2 is the mass of the truck and contents in front of the cg, and m is the total mass of the truck and contents.

Substituting the given values and using the value of d found earlier, we get:

Frear = (8010 kg * 0.63 / 8010 kg)*78,419.1 N = 62,202.7 N

Ffront = (8010 kg * 0.37 / 8010 kg)*78,419.1 N = 36,216.4 N

The magnitude of the total vertical force exerted by the ground on the rear wheels of the truck is:

Frear = 62,202.7 N ≈ 62,203 N

Therefore, the magnitude of the total vertical force exerted by the ground on the rear wheels of the truck is approximately 62,203 N.

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When the air is removed from the chamber using a vacuum pump, the sound heard by the student will become quieter.

What is Vacuum?

Vacuum is typically created by removing gases and other matter from a closed container, using methods such as mechanical pumps, diffusion pumps, or cryopumps. In the absence of matter, there is no medium for sound waves to propagate, which is why sound cannot travel through a vacuum.

This is because sound waves require a medium to travel through, such as air. When the air is present in the chamber, the sound waves from the vibrating bell can travel through the air and reach the student's ear. However, when the air is removed, there is no medium for the sound waves to travel through, so they cannot reach the student's ear as effectively.

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R = (v2/g) * sin(2) is a formula for calculating the range of a projectile propelled at an angle of with an initial speed of v. G is the acceleration caused by gravity.

R = 2 v () () g, s I n c o s can be used to compute the horizontal range, R, of a projectile thrown from the same initial and final vertical displacement. where v is the projectile's initial speed, is its launch angle (measured above horizontal), and g is gravity's constant.

As t=0 denotes the initial time and we know that the bullet travels a finite horizontal distance sx, the right answer would be t=2using.

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Answer:

Option 3

Explanation:

A cart travels with constant nonzero acceleration along a straight line. the relationship between the distance the cart travels and the time of travel is represented in the graph which has a curved in an upward direction.

The vertical force P that need to be applied to the pedal is 500 N.The corresponding reaction at C is 1300N. The magnitude of the pressure exerted on the three.zero-kg block via the two.0-kg block is eighteen N.

1. a) Taking Moments about C & equating to Zero.

+ ∑M_c = 0 ⇒

P x300 = 1200 x 125 =0

So, P = 500 N.

b) Applying the vertical of equilibrium along horizontal & vertical directions.

+Σ F_x = 0⇒ Cx - 1200 0

                     so,  Cx = 1200 N

+ΣFy = 0 ⇒ Cy - P = 0

                    so, Cy = P = 500N

So, Reaction at C.

[tex]R_c=\sqrt{C_x^2+C_y^2}\\= \sqrt{(1200)^2+(500)^2}[/tex]

= 1300 N.

2. The net force on the two blocks is calculated by applying Newton's second law of motion as shown below;

[tex]\sum F_x = ma\\\\F+m_2gcos\theta - F_{3n} = Fnet\\\\F+m_2gcos\theta - m_{3g} = F_{net}\\\\(30) + (2 * 9.8 * cos 30) - (3 * 9.8) = F_{net}\\\\17.6 N = F_{net}\\\\F_{net} = 18 N[/tex]

Magnitude refers to the size or degree of something, often used in the context of scientific measurements or observations. In physics, magnitude typically refers to the strength or intensity of a physical quantity, such as the magnitude of a force or the magnitude of an electric field. In astronomy, magnitude is used to describe the brightness of celestial objects, such as stars, with a larger magnitude indicating a fainter object.

Magnitude can refer to the size of a number or vector, which is often represented by its absolute value. Magnitude is also a concept in geometry, where it refers to the size or length of a geometric object, such as a line segment or a vector. Magnitude is a useful concept in various fields of study, helping to quantify and compare the size, strength, or intensity of different phenomena.

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Complete Question: -

1. The required tension in cable AB is 1200 N. Determine (a) the vertical force P that must be applied to the pedal, (b) the corresponding reaction at C.

2. The surface of the inclined plane shown is frictionless. If F = 30 N, what is the magnitude of the force exerted on the 3.0-kg block by the 2.0-kg block?

Experiments with the dynamics track provide a practical and visual way to demonstrate the laws of motion proposed by Newton, which are still fundamental to our understanding of physics today.

What is Newton's First Law?

Newton's first law of motion states that an object at rest will remain at rest, and an object in motion will continue to move at a constant velocity in a straight line, unless acted upon by an unbalanced force. To demonstrate this, a cart or ball can be placed on the track and allowed to roll with no additional forces acting on it. The object will continue to move at a constant velocity until it is stopped by friction or another force.

Experiments with a dynamics track can provide insights into the fundamental laws of motion proposed by Sir Isaac Newton. The dynamics track consists of a track with a level, smooth surface, which allows objects to slide or roll along it with minimal friction. The experiments usually involve a cart or a ball, and various additional objects such as weights, springs, and pulleys, to test the laws of motion.

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The conservation of energy principle, which states that a system's total mechanical energy is conserved in the absence of external forces, will be used to solve this issue. The Earth and the sled rider make up the system in this instance.

The mechanical energy will be constant in a closed system, one in which there are no external dissipative forces at work. In other words, nothing will alter (become more or less). The Law of Conservation of Mechanical Energy is what we refer to as this.

The lone circumstance in which mechanical energys conserved is that all the forces acting on it should be conservative forces.ie no friction or heat loss should be there!!.

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The total current supplied to the trailer when the taillights and running lights are on is the sum of the current drawn by the running lights and the current drawn by the taillights.

The current drawn by the running lights is:

I1 = 4 * 0.5 A = 2 A

The current drawn by the taillights is:

I2 = 2 * 1.2 A = 2.4 A

Therefore, the total current supplied to the trailer when the taillights and running lights are on is:

I = I1 + I2 = 2 A + 2.4 A = 4.4 A

Therefore, the current supplied to the trailer when the taillights and running lights are on is 4.4 A.

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The space station would complete one revolution in about 2.2 minutes.

It's exciting to consider the use of artificial gravity inside a spacecraft. Many believe it would be a smart way to maintain humans' health on lengthy missions, preventing bone and muscle loss over the roughly 18 months it would take to fly to and from Mars in weightlessness.

The period of rotation T can be calculated using the formula T = 2π/ω, where ω is the angular velocity. Since the artificial gravity is equal to 1g, we can use the formula g = ω²r, where r is the radius of the cylinder. When we solve for, we obtain = sqrt(g/r).

Substituting the given values, we get ω = sqrt(9.81 m/s² / (2135/2 m)) = 0.0477 rad/s.

Using the formula for T, we get T = 2π/ω = 131.9 seconds, or approximately 2.2 minutes.

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The minimum force required to move the book and paper system is 0.0098 times the mass of the book.

To determine the minimum force required to move the book and paper system, we need to consider the forces acting on the system. There are two forces acting on the paper: the force of friction and the applied force P. The force of friction is equal to the coefficient of friction times the normal force, which is the weight of the paper. The weight of the paper is 0.1Mg, where g is the acceleration due to gravity.

Ffriction = μN = μ(0.1Mg) = 0.01Mg

To move the paper, the applied force P must be greater than or equal to the force of friction. Therefore:

P ≥ Ffriction

P ≥ 0.01Mg

Substituting the weight of the paper, we get:

P ≥ 0.01M(9.8 m/s²)(0.1) = 0.0098M

Therefore, the minimum force required to move the book and paper system is 0.0098 times the mass of the book.

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Answer:

see below

Explanation:

In chickenpox vaccine , weakened/killed pathogens are introduced into the body to generate immune response. The first response is slow and is called primary response while the subsequent exposure with the same pathogen generates a highly intensified immune response which is known as secondary response .

This type of immunity which generates antibody against the virus particles by introducing them into the body is called active immunity . It lasts forever in the body as the immune system has the memory of first exposure with the pathogen and after coming in contact with the same pathogen it recognises it and generates immune response.

So the correct option would be,

[tex]\rule{200}2[/tex]

Related information:-

Passive immunity:-

It is the type of immunity when performed antibodies are introduced in the body . Like in case of smallpox. This doesn't last long in the body and requires repeated infusions in the body after coming in contact with the same pathogen again.

Also , it is helpful when quick reponse is required against the antigen and we don't have time to wait for generating immune response like in case of snake bites .

Each sphere has a charge of 2.00 x 10^-7 C.

The electric force between two charged objects is given by Coulomb's law:

F = k(q1q2/r^2),

where F is the force, k is Coulomb's constant (9.0 x 10^9 N m^2/C^2), q1 and q2 are the charges of the two objects, and r is the distance between them.

In this case, we know that the force is -0.492 N (attractive), the distance is 29.1 cm (0.291 m), and the two spheres have the same charge, so q1 = q2 = q

Substituting these values into Coulomb's law, we get:

-0.492 N = k(q^2 / (0.291 m)^2)

Solving for q, we get:

q = sqrt((-0.492 N * (0.291 m)^2) / k)

q = sqrt((-0.492 N * (0.291 m)^2) / (9.0 x 10^9 N m^2/C^2))

q = 2.00 x 10^-7 C

Therefore, each sphere has a charge of 2.00 x 10^-7 C.

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possible energy, Motional energy. Mech. energ. Sound energy, electrical energy Conversion of gravitational potential energy into electrical energy. Hydroelectric Power Plant: ​Hydroelectric power is produced by the gravity of falling water.

The right response is acoustic energy from electric energy. Electrical energy is transformed into sound energy by the loudspeaker. It creates a sound wave that follows the original voice or music signal's pattern. A loudspeaker's diaphragm vibrates as a result of electrical energy, which in turn causes the nearby air to vibrate.

A turbine is turned by the water's kinetic energy as it passes through the dam. The generator turns the mechanical energy from the turbine into electricity.

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As an electron moves towards the positive plate in a uniform electric field between two parallel plates, the distance between the electron and the positive plate decreases, force causing the electric field between them to increase. Hence, the correct option is (2).

In the given diagram, there is a uniform electric field between two parallel plates, with the positive plate on the left and the negative plate on the right. When an electron is placed between the plates and moves towards the positive plate, it experiences a force due to the electric field. The direction of this force is opposite to the direction of the electric field and is given by F = qE, where F is the force, q is the charge of the electron, and E is the electric field. As the electron moves towards the positive plate, the distance between the electron and the positive plate decreases, which means that the electric field between them increases. Therefore, the force acting on the electron also increases according to F = qE. Hence, the correct option is (2) increases.

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Answer:

i hope this is what you are looking for

When an object speeds up, it has a positive acceleration

Positive acceleration is the rate at which an object's speed increases over time. It is measured in distance units per time squared (m/s2) and is the result of a net force being applied to an object.

Positive acceleration indicates that an object is accelerating in the same direction as the applied force. When a net force is applied to an object, it changes the velocity of the object in the same direction as the force. The object's velocity will continue to increase until the net force is equal to zero.

At this point, the object is said to be moving at a constant velocity. Positive acceleration occurs when the net force acting on an object is greater than zero, resulting in an increase in the object's speed. This increase in speed is known as a positive acceleration.

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The word 'scientist' was first coined by William Whewell in the early 19th century. He proposed the term as a replacement for the previous term 'natural philosopher.

The four men who met at Cambridge in 1812 were Charles Babbage, John Herschel, George Peacock, and Richard Jones. They were all highly accomplished scientists and mathematicians, and they formed a close friendship and intellectual partnership. They discussed a wide range of scientific and philosophical topics, including the nature of knowledge, the role of mathematics in science, and the principles of inductive reasoning. Their meetings laid the foundation for the development of the modern scientific method and helped to establish the field of mathematics as a central component of scientific inquiry.

The inductive scientific method involves making observations and collecting data in order to draw general conclusions or make predictions about a particular phenomenon. It is based on the idea that knowledge can be built up gradually through the accumulation of empirical evidence. The debate surrounding this scientific method focused on the question of whether it was truly objective and reliable, or whether it was inherently biased by the particular observations and assumptions of the scientist conducting the research.

Women first began to make significant contributions to science in the 19th century, largely through the efforts of pioneers such as Mary Somerville and Caroline Herschel. These women often had to overcome significant social and institutional barriers in order to pursue scientific research, but their accomplishments helped to pave the way for future generations of female scientists.

The heroic part of the Philosophical Breakfast Clubs story is the way in which these four men collaborated and supported each other in pursuit of scientific knowledge. They were willing to challenge established ideas and take risks in order to advance their field. However, the flip side of this story is that their exclusive, male-dominated intellectual circle reinforced existing power structures and excluded women and other marginalized groups from participating in the scientific enterprise.

Darwin's statement that "science is not only for scientists" emphasizes the idea that scientific knowledge should be accessible and understandable to everyone, not just those who have specialized training or expertise. In order to fully participate in a democratic society, it is important for individuals to have at least a basic understanding of scientific concepts and methods. Whether or not one considers oneself to have a basic scientific literacy depends on individual experiences and education.

Therefore, It is important that forensics is categorized as a science because it involves the application of scientific principles and methods to the investigation of crimes and other legal matters. By using evidence-based techniques, forensic scientists can provide accurate and reliable information that can be used to make informed decisions in legal proceedings.

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Answer:

The first mechanical means for transmitting real-time stock market data from exchange floors to brokers and investors across the country.

Explanation:

Answer:

Explanation:

The force of gravity acting on the block can be resolved into two components, one parallel to the incline and one perpendicular to the incline. The perpendicular component is balanced by the normal force of the incline, and the parallel component is opposed by the force of friction. The force of friction is given by:

F_friction = coefficient_of_friction * F_norm

where F_norm is the normal force of the incline. The normal force is equal in magnitude and opposite in direction to the perpendicular component of the force of gravity, which is:

F_perpendicular = m * g * cos(theta)

where m is the mass of the block, g is the acceleration due to gravity, and theta is the angle of inclination.

The parallel component of the force of gravity is:

F_parallel = m * g * sin(theta)

The net force acting on the block is:

F_net = F_parallel - F_friction

Using Newton's second law, F = m * a, we can solve for the acceleration of the block:

a = F_net / m

Substituting the expressions for F_parallel and F_friction, we get:

a = [m * g * sin(theta) - coefficient_of_friction * m * g * cos(theta)] / m

Simplifying, we get:

a = g * [sin(theta) - coefficient_of_friction * cos(theta)]

Substituting the given values, we get:

a = 9.8 m/s^2 * [sin(36°) - 0.55 * cos(36°)] = 6.43 m/s^2

Therefore, the acceleration of the block is 6.43 m/s^2.

Answer:

Magnetic shielding is the process of reducing the magnetic field in a given space by using a material that can redirect or absorb the magnetic field. Some materials are better magnetic shields than others because of their magnetic properties and their ability to interact with magnetic fields.

Materials that are highly permeable to magnetic fields, such as iron, nickel, and cobalt, are excellent magnetic shields. These materials have a high magnetic susceptibility, which means that they can easily become magnetized in the presence of a magnetic field. When a magnetic field is applied to these materials, the magnetic domains within the material align with the external field, creating a magnetic shield that redirects the field away from the protected space.

Other materials, such as copper and aluminum, are not as effective as magnetic shields because they have low magnetic permeability and low magnetic susceptibility. These materials do not easily become magnetized in the presence of a magnetic field, and therefore cannot redirect or absorb the field as effectively as highly permeable materials.

In summary, the effectiveness of a material as a magnetic shield depends on its magnetic properties, including its permeability and susceptibility. Materials that are highly permeable and susceptible to magnetic fields, such as iron, nickel, and cobalt, are better magnetic shields than materials with low permeability and susceptibility, such as copper and aluminum.

Answer:

Current is inversely related to resistance.

Explanation:

Based on the given information, we can conclude that the relationship between current and resistance is inverse. This is because the graph is a downward curve, indicating that as resistance increases, current decreases, and vice versa.

In other words, when resistance is high, the flow of current is low, and when resistance is low, the flow of current is high. This inverse relationship between current and resistance is known as Ohm's Law, which states that the current flowing through a conductor is directly proportional to the voltage and inversely proportional to the resistance of the conductor.

Therefore, the best answer choice that describes the relationship between the two variables is:

Current is inversely related to resistance.

Answer:

B. Current is inversely related to resistance.

Explanation:

I took the physics exam

3,1 The value of the "change in velocity per second" for the putty ball is 256 m/s².

3.2 The putty ball's mass has no effect on its acceleration, but it does have an effect on its weight and momentum.

4 The experiment can be repeated several times to ensure the reliability of the results.

3.1 The "change in velocity per second" for the putty ball can be calculated using the formula:

change in velocity = (final velocity - initial velocity) / time

In this case, the putty ball A is released from rest, so its initial velocity is zero. Its final velocity can be calculated using the equation of motion:

distance = 0.5 x acceleration x time²

where distance is the height of the building, and time is the time it takes for the ball to fall to the ground. We are given that the distance is h and the time is 2 minutes or 120 seconds. Using these values, we can solve for the acceleration:

h = 0.5 × a × t²

a = 2h / t²

Substituting h = XZ = 2.0 m and t = 0.125 s:

a = 2 x 2.0 / (0.125)² = 256 m/s²

Now, calculate the change in velocity per second:

change in velocity = (final velocity - initial velocity) / time

= (acceleration x time) / time

= acceleration

= 256 m/s²

Therefore, the value of the "change in velocity per second" for the putty ball is 256 m/s².

3.2 The acceleration of putty ball B will be equal to the acceleration of putty ball A. This is because the acceleration of an object is determined only by the force acting on it and its mass, according to Newton's second law of motion (F = ma). In this case, both putty balls are subject to the same gravitational force and experience the same air resistance (which is negligible), so their acceleration will be the same. The mass of the putty ball does not affect its acceleration, but it does affect its weight and momentum.

4 To ensure the reliability of the results, the experiment can be repeated multiple times, and the results can be compared and analyzed for consistency. The experiment can also be performed under controlled conditions, such as in a vacuum, to eliminate the effects of air resistance. The equipment used in the experiment should be calibrated and properly maintained to ensure accurate measurements. The experimenter should also take care to minimize sources of error, such as parallax error when reading the height of the building, and record all measurements and observations accurately.

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boat is heading due east at speed v when passengers onboard

spot a dolphin swimming due north away from them, relative

to their moving boat (c) heading north of east at a speed greater than v

The motion of the dolphin relative to a stationary observer floating in the water depends on the velocity of the boat and the velocity of the dolphin relative to the water.

Since the boat is heading due east and the dolphin is swimming due north relative to the moving boat, the dolphin's velocity relative to the boat is due north. Let's call the magnitude of this velocity "d".

The boat's velocity relative to the water is also due east and has a magnitude of "v".

Using the Pythagorean theorem, the magnitude of the dolphin's velocity relative to the stationary observer is:

sqrt([tex]d^2 + v^2)[/tex]

The direction of the dolphin's velocity relative to the stationary observer can be found using trigonometry. The angle between the dolphin's velocity relative to the boat and the boat's velocity relative to the water is 90 degrees, so the tangent of the angle between the dolphin's velocity and the velocity of the boat is d/v.

If we draw a right triangle with sides d, v, and sqrt([tex]d^2 + v^2[/tex]), the angle between the dolphin's velocity and the velocity of the boat is the angle opposite the side d. Using trigonometry, we find that this angle is:

[tex]tan^-1(d/v)[/tex]

The direction of the dolphin's velocity relative to the stationary observer is then 90 degrees plus this angle, since the dolphin's velocity is heading north relative to the boat.

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Approximately 3.16 x 10¹² machines at a distance of 5 m are needed to exceed 115 dB at a distance of 5 m.

Decibel (dB) is a unit of measurement that is used to express the relative intensity of sound or the ratio of two power quantities. It is a logarithmic unit that compares the power level of a sound to a reference level.

The decibel scale is logarithmic because the human ear perceives changes in sound intensity logarithmically. Therefore, the use of the decibel scale allows us to express a wide range of sound intensities using a more manageable numerical range.

a) To calculate the volume in decibels, we can use the given formula:

L = 10 lg(I/I0)

First, let's calculate the intensity of the noise:

1 kW = 1000 W

0.01% of 1000 W = 0.01 x 1000 W = 10 W

Area of a sphere with a radius of 5 m = 4πr² = 4π(5 m)² = 314.16 m²

Therefore, the intensity of the noise at a distance of 5 m from the machine is:

I = 10 W / 314.16 m² = 0.0318 W/m²

Now we can use the formula to calculate the volume:

L = 10 lg(I/I0) = 10 lg(0.0318 W/m² / 10⁻¹⁶ W/cm²) = 105 dB

Therefore, the volume of the noise at a distance of 5 m from the machine is 105 dB.

b) To calculate the number of machines needed to exceed 115 dB, we can use the formula in reverse:

L = 10 lg(I/I0)

115 dB = 10 lg(I/I0)

11.5 = lg(I/I0)

I/I0 = 10¹¹°⁵

Now we can calculate the total intensity needed at a distance of 5 m from the machines:

I_total = 10¹¹°⁵ W/m²

For one machine, the intensity of the noise at a distance of 5 m is:

I_machine = 10 W / 314.16 m² = 0.0318 W/m²

So the number of machines needed is:

N = I_total / I_machine = 10¹¹°⁵/ 0.0318 = 3.16 x 10¹²

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Answer:

Weight of object = .98 N

Buoyant force equals weight of water displaced = .10 N

Weight of object - weight of water displaced = .98 - .10 = .88 N

Density = Weight of object / Weight of equivalent weight of water

ρ = .98 / .10 = 9.8         specific gravity of object

Since the density of water = 1 g / cm^3

the density of the object is 9.8 g / cm^3      (9800 kg/m^3)

Answer:

A

Explanation:

The bacteria exists as organic matter

Answer:

a) is probably the answer

A.The linear acceleration of block A is [tex]a = -3.42 m/s^2[/tex]

B.The linear acceleration of block B is [tex]a = 3.42 m/s^2[/tex]

C.The angular acceleration of the wheel c  is [tex]a= -31.09 rad/s^2[/tex]

D. The tension in the left side is T = -210.83 N

E.The tension in the right side is T = -58.75 N

A. The linear acceleration of block A can be calculated using the equation for the acceleration of an Atwood's machine:

[tex]a =\frac{ (m2 - m1)g}{ (m1 + m2)}[/tex]

Substituting the given values, the linear acceleration of block A is:

[tex]a =\frac{ (2.00 kg - 5.50 kg) 9.81 m/s^2 }{ (5.50 kg + 2.00 kg)}\\a = -3.42 m/s^2[/tex]

B. The linear acceleration of block B can be calculated using the same equation:

[tex]a =\frac{ (m2 - m1)g}{ (m1 + m2)}[/tex]

Substituting the given values, the linear acceleration of block B is:

[tex]a = \frac{(2.00 kg - 5.50 kg) 9.81 m/s^2 }{ (5.50 kg + 2.00 kg)}\\a = 3.42 m/s^2[/tex]

C. The angular acceleration of the wheel can be calculated using the equation:

[tex]a = \frac{a}{r}[/tex]

where α is the angular acceleration, a is the linear acceleration and r is the radius of the wheel.

Substituting the given values and the value for the linear acceleration of block A, the angular acceleration of the wheel is:

[tex]a = \frac{-3.42 m/s2 }{ 0.110 m}[/tex]

[tex]a= -31.09 rad/s^2[/tex]

D. The tension in the left side of the cord can be calculated using the equation:

T = m1a + m1rα

Substituting the given values, the tension in the left side of the cord is:

T = 5.50 kg (-3.42 m/s2) + 5.50 kg (0.110 m) (-31.09 rad/s2)

T = -210.83 N

E. The tension in the right side of the cord can be calculated using the equation:

T = m2a + m2rα

Substituting the given values, the tension in the right side of the cord is:

T = 2.00 kg (3.42 m/s2) + 2.00 kg (0.110 m) (-31.09 rad/s2)

T = -58.75 N

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The average force of friction acting on the block over the distance of 125 m is 0.294 N/m

We can use the equation of motion to calculate the acceleration of the block as follows:

d = 1/2 * a * t^2

Where

Substituting the given values, we get:

125 m = 1/2 * a * (5 s)^2

Solving for a, we get:

a = 10 m/s^2

The net force acting on the block is equal to the product of its mass and acceleration, i.e.:

F_net = m * a = 15 kg * 10 m/s^2 = 150 N

Since the block is at rest initially, the force of static friction must balance the applied force of 35.0 N, i.e.:

friction = 35.0 N

Once the block starts moving, the force of kinetic friction opposes the motion and has a constant magnitude given by:

friction = μ * N

Where

The normal force is equal to the weight of the block, i.e.:

N = m * g = 15 kg * 9.81 m/s^2 = 147.15 N

Substituting the given coefficient of friction μ = 0.25, we get:

friction = 0.25 * 147.15 N = 36.79 N

Therefore, the average force of friction acting on the block over the distance of 125 m is:

average friction = friction / distance = 36.79 N / 125 m = 0.294 N/m

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