Answer:
Approximately [tex]9\; {\rm N \cdot m^{-1}}[/tex].
Explanation:
Change in the gravitational potential energy (GPE) of the system:
[tex](\text{change in GPE}) = m\, g\, \Delta h[/tex], where:
[tex]m = 115\; {\rm kg}[/tex] is the mass of the jumper.[tex]g = 9.8\; {\rm m\cdot s^{-2}} = 9.8\; {\rm N\cdot kg^{-1}}[/tex] is the gravitational field strength.[tex]\Delta h = (300 - 50)\; {\rm m} = 250\; {\rm m}[/tex] is the absolute value of the change in height.Change in the elastic potential energy (EPE) of the system:
[tex]\text{(change in EPE)} = (1/2)\, k\, x^{2}[/tex], where:
[tex]k[/tex] is the spring constant and needs to be found.[tex]x = (250 - 0)\; {\rm m} = 250\; {\rm m}[/tex] is the change in the length of the cord. Note that since the cord started stretching immediately, that initial length of the cord would be [tex]0\; {\rm m}[/tex] .Set [tex]\text{(change in GPE)} = \text{(change in EPE)}[/tex] and solve for the spring constant [tex]k[/tex]:
[tex]\displaystyle m\, g\, \Delta h = \frac{1}{2}\, k\, x^{2}[/tex].
[tex]\begin{aligned}k &= \frac{m\, g\, \Delta h}{(1/2)\, x^{2}} \\ &= \frac{(115)\, (9.8)\, (250)}{(1/2)\, (250)^{2}}\; {\rm N\cdot m^{-1}} \\ &\approx 9\; {\rm N\cdot m^{-1}}\end{aligned}[/tex].
Discussion of the experiments with the dynamics track: Newton’s laws
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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What is an universal stock printer
Answer:
The first mechanical means for transmitting real-time stock market data from exchange floors to brokers and investors across the country.
Explanation:
When an object speeds up, it has a? 7._______
When an object speeds up, it has a positive acceleration
What is 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 figure below (Figure 1) illustrates an Atwood's machine. Let the masses of blocks A
and B be 5.50 kg and 2.00 kg, respectively, the moment of inertia of the wheel about its axis be 0.400 kg⋅m2 and the radius of the wheel be 0.110 m.
A. Find the linear acceleration of block A if there is no slipping between the cord and the surface of the wheel.
B. Find the linear acceleration of block B if there is no slipping between the cord and the surface of the wheel.
C. Find the angular acceleration of the wheel C if there is no slipping between the cord and the surface of the wheel.
D. Find the tension in left side of the cord if there is no slipping between the cord and the surface of the wheel.
E. Find the tension in right side of the cord if there is no slipping between the cord and the surface of the wheel.
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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A shuffleboard disk is accelerated to a speed of 5.6 m/s and released. If the coefficient of kinetic friction between the disk and the concrete court is 0.34, how far does the disk go
before it comes to a stop? The courts are 14.3 m long.
The disk must have traveled a distance of 4.52 meters before coming to a stop.
Coefficient of FrictionWe can use the equation for the distance traveled by an object under constant acceleration:
d = (v_f^2 - v_i^2) / (2 * a)
where d is the distance traveled, v_f is the final velocity (in this case, zero), v_i is the initial velocity (in this case, 5.6 m/s), and a is the acceleration.The acceleration of the disk is determined by the force of friction, which is given by:
F_friction = friction_coefficient * F_normal
where F_normal is the normal force, which is equal to the weight of the disk, and the friction coefficient is given as 0.34.We can find the weight of the disk by using the formula:
F_gravity = m * g
where F_gravity is the force of gravity, m is the mass of the disk, and g is the acceleration due to gravity (taken as 9.8 m/s^2).Let's assume the mass of the disk is 0.5 kg. Then:
F_gravity = 0.5 kg * 9.8 m/s^2 = 4.9 N
So the normal force on the disk is also 4.9 N.
Now we can find the force of friction:
F_friction = 0.34 * 4.9 N = 1.67 N
The acceleration of the disk is given by:
a = F_friction / m = 1.67 N / 0.5 kg = 3.34 m/s^2
Plugging this into the equation for distance, we get:
d = (0 - (5.6 m/s)^2) / (2 * (-3.34 m/s^2)) = 4.52 m
Therefore, the disk travels 4.52 meters before coming to a stop, which is less than the length of the court (14.3 m).
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4. Enclosing a certain mass of air in a container and then removing as much air as technically possible creates a
A. partial vacuum.
B. perfect vacuum.
C. barometric press.
D. hydraulic press.
2. This diagram shows an electric bell ringing in a sealed glass chamber containing air. to vacuum pump 5655 bell A student hears the bell ringing. The air is then removed from the chamber. State and explain any change in the sound heard by the student.
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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The characteristic spectral lines for the molybdenum element occur at lamda= 6.4 x 10^-11m and lamda= 7.5 x 10^-11m. What is the minimum potential difference needed to accelerate electrons in an x-ray tube to produce both of these lines
Answer:
E = h ν energy of wave of frequency ν
ν = c / λ frequency of wave in terms of wavelength
E = h c / λ
Since λ = 6.4E-11 is the shortest wavelength this corresponds to the highest potential needed
E = 6.63E-34 * 3.00E8 / 6.4E-11 = 3.11E-15 joules
V = E / q = 3.11E-15 / 1.6E-19 = 19,400 volts
Note (E above is energy required and not the electric field)
1. Describe how the word ‘scientist’ came to be.
2. Who were the four men that met at Cambridge in 1812 and what were some of their accomplishments? What did they do and discuss at their meetings? Explain and describe.
3. What was the inductive scientific method? Explain. What was the debate surrounding this scientific method? Describe.
4. How did women first get a foot in the door of science? By whom? Explain.
5. What is the heroic part of the Philosophical Breakfast Clubs story? What is the flip side of this story? Explain the details of the ‘flip side.’
6. Snyder ends her talk by saying, “Darwin knew what we seem to have forgotten, that science is not only for scientists.” What do you think that is meant by this? Do you consider yourself to have a basic scientific literacy? Explain and discuss your thoughts.
7. Do you think it’s important that forensics is categorized as a science? Why or why not?
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.
What is the word scientist about?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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Janice turns on a speaker in her house that is powered by the nearby dam. Below is the list of steps describing how the energy is transformed several times to get to her speaker.
Match the step of the energy transformation with the type of energy that describes it.
1. Water sits at top of dam (not moving)
2. Water flows down towards the bottom of the dam.
3. Water moves the turbine and coil as it passes through the dam.
4. The water causes electrons inside the coil to move.
[ Choose ]
Choose 1
Sound energy
Heat energy
Potential energy
Kinetic energy
Electrical energy
Elastic potential energy
Light energy
Nuclear energy
[ Choose ]
5. Electrons move from the coil across the power lines to Janice's house.
[ Choose
6. Sound comes out of the speaker that is plugged into the wall
Choose
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.
When you switch on a speaker, what kind of energy happens?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.
What happens to energy when it is transformed in a hydroelectric power plant?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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The delivery track is at rest on a horizontal road .It has four wheels and the distance between it's front and rear axle is 2.3 m .Workers have loaded the truck in such a way that it;s center of gravity(cg) is only slightly (0.63) forward of the rear axle.The total mass of the truck and its contents is 8010 kg.Finf the magnitude of the total vertical force exerted by the ground on the rear wheels of the truck.
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.
What is static equilibrium?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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Artificial gravity is a must for any space station if humans are to live there for an extended length of time. Without artificial gravity, human growth is stunted and biological functions break down.
An effective way to create artificial gravity is through the use of a rotating enclosed cylinder, as shown in the figure. Humans walk on the inside of the outer edge of the cylinder, which has a diameter of =2135 m that is large enough such that its curvature is not readily noticeable to the inhabitants. (The space station in the figure is not drawn to scale.)
Once the space station is rotating at the necessary angular speed to create an artificial gravity of 1, how many minutes would it take the space station to make one revolution?
The space station would complete one revolution in about 2.2 minutes.
Why would astronauts require artificial gravity to maintain normalcy during lengthy space missions?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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A 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. Which of the following must be true of
the dolphin’s motion relative to a stationary observer floating
in the water (choose one)? The dolphin is (a) heading south
of east at a speed greater than v, (b) heading south of west at a
speed less than v, (c) heading north of east at a speed greater
than v, or (d) heading north of west at a speed less than v.
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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An object is weight with spring balance in air and then totally with water, the reading on the balance are 0.98N and 0.88N repectively. Calculate the desity of the object.
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)
A book of mass M rests on a long table with a piece of paper of mass m=0.1M in between. The coefficient of friction between all surfaces is μ = 0.1. The paper is pulled with horizontal force P (Figure 2.22). 36 (a) What is the minimum value of P required to cause any motion?
The minimum force required to move the book and paper system is 0.0098 times the mass of the book.
Calculating the Minimum ForceTo 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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Explain why some materials are better magnetic shields than other
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.
A graph of a relationship is shown.
A graph titled current versus resistance is shown with current on the vertical axis and resistance on the horizontal axis. The graph is a downward curve from top left to bottom right but sits far from the axes.
Which of the following best describes the relationship between the two variables?
Current is directly related to resistance.
Current is inversely related to resistance.
Resistance is directly related to the square of current.
Resistance is inversely related the square of current.
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
A cart travels with a constant nonzero acceleration along a straight line. Which graph best represents the relationship between the acceleration the cart travels and time of travel?
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.
A circuit with total resistance of 20Ω has a potential difference of 12V and current of 1.2A. calculate energy done in 5 minutes
As an electron that is placed between the plates below moves toward the positive plate, the force acting on it.
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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A 18.0 kg block slides down an inclined plane (angle of inclination is 36 degrees). If the coefficient of kinematic friction is 0.55, what is the acceleration of the block? Consider g = 9.8 m/s². Express your answer correct to 2 decimal places. Add the appropriate unit(s).
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.
Suppose that two equally charged spheres attract each other with a force of -0.492 N ("-" means attractive) when placed a distance of 29.1 cm from each other. Determine the charge of the spheres.
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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3.A Physics professor sets up an experiment to determine the height of a building in his experiment he found that a putty ball, A, released from the top of a building, X, Covers the last 2 min the air in 0,125 s. ignore the effects of air resistance Putty Ball PA 2,0 m Ground Z 3.1 State the value of the "change in velocity per second" for the putty ball 3.2 The experiment is repeated using a putty ball B of TWICE the mass of putty ball A will the acceleration of balt B be GREATER THAN, EQUAL TO or LESS THAN the acceleration of ball A? Give a reason for the answer 4.What can be done to ensure the reliability of results? (0) (1)
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.
How to calculate change in velocity?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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Hei can someone help me with homework
Approximately 3.16 x 10¹² machines at a distance of 5 m are needed to exceed 115 dB at a distance of 5 m.
What is decibel?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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A force of 35.0 N is applied to a 15kg block at rest. If the block travels 125m in the first 5.00 seconds the force is applied, what is the average force of friction acting on the block?
The average force of friction acting on the block over the distance of 125 m is 0.294 N/m
How to find the average force of friction acting on the block?
We can use the equation of motion to calculate the acceleration of the block as follows:
d = 1/2 * a * t^2
Where
d is the distance traveled t is the time taken a is the accelerationSubstituting 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
μ is the coefficient of kinetic friction N is the normal forceThe 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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With what speed should a projectile be launched if it’s to cover a maximum range of 82.5m and g =9.8m/s2
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.
How can I determine the widest horizontal range?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.
What is the projectile motion's maximum horizontal distance formula?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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A travel trailer has four running lights that draw 0.5A each and two taillights that draw 1.2A each. What is the current supplied to the trailer when the taillights and running lights are on?
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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in the unit vector notation, what is the net torque about the origin on a flea located at coordinates (0, -4.0m, 5.0m) qhwn forces F1=(3.0N)k^ and F2= (-2.0N)j^ act on the flea>=>
Answer:
i hope this is what you are looking for
If soil did not have bacteria in it, then?
A: plants would probably not have enough nitrogen.
B: we probably could not digest our food.
C: plants would probably never die.
D: we could not eat yogurt.
Answer:
A
Explanation:
The bacteria exists as organic matter
Answer:
a) is probably the answer
Marina was immunized against chicken pox when she was young. Which of the following statements is true?
Since she was immunized, it is impossible for Marina to contract chicken pox.
Marina was exposed to a weak form of chicken pox antigen.
The immunization provided Marina with passive immunity.
Marina needs to be immunized again because antibodies do not last long in the body.
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,
Marina was exposed to a weak form of chicken pox antigen.[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 .