Answer:
To calculate the net force for example A, you would add the two forces together. Since they are in the same direction, the net force would be equal to the sum of the two forces. 2. To calculate the net force for example 87, you would subtract the force in the opposite direction from the force in the same direction. The net force would then be equal to the difference between the two forces.
For the below figure, the coordinates of the particles are:
Q1 (-2, 0)
Q2 (2m, 0)
Q3 (0,2m)
01-02-1nC
Determine the charge magnitude for Q3 to ensure the net force on Q3 is facing down the Y axis with a net magnitude of 5.9 Micro N
Q3
D
Y axis
08
x axis
Answer:
To determine the charge magnitude for Q3, we need to use Coulomb's Law, which states that the force between two point charges is proportional to the product of the charges and inversely proportional to the square of the distance between them.
The net force on Q3 is given as F_net = F_12 + F_13 + F_23
The force between Q1 and Q3 is given as F_13 = (1/(4πε)) * (Q1*Q3)/(D^2)
The force between Q2 and Q3 is given as F_23 = (1/(4πε)) * (Q2*Q3)/((2m-D)^2)
The force between Q1 and Q2 is given as F_12 = (1/(4πε)) * (Q1*Q2)/(2m)^2
where ε is the electric constant and D is the distance between Q3 and Q1 along the Y-axis
By equating the net force to the given value of 5.9 Micro N we can solve for Q3.
Explanation:
Above
A car is traveling at a steady 71 km/h in a 50 km/h zone. A police motorcycle takes off at the instant the car passes it, accelerating at a steady 7.5 m/s2.
a. How much time elapses before the motorcycle is moving as fast as the car?
b. How far is the motorcycle from the car when it reaches this speed?
(a) The time elapses before the motorcycle is moving as fast as the car is 2.6296 second.
(b) The motorcycle is 25.93 meter far from the car when it reaches this speed.
What is acceleration?Acceleration is rate of change of velocity with time. Si unit of acceleration is meter/second² (m/s²).
Speed of the car = 71 km/h = 71 ×5/18 m/s = 19.722 m/s.
Acceleration of the police motorcycle = 7.5 m/s²
Hence, Time taken by the motorcycle to be as fast as the car = 19.722 ÷ 7.5 s
= 2.6296 second.
The distance between the motorcycle and the car
= (19.722×2.6296 - 1/2×7.5 × 2.6296²) meter
= 25.93 meter.
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list at least four devices that are used to control a motor automatically. briefly describe the purpose of each device. select the best answer for each of the following.
There are four primary types of motor controllers and drives: stepper, servo, DC, and AC.
Which of the following control devices is beneficial in a circuit for a motor?One of the primary motor control devices is one that attaches or detaches the motors or loads from the line. The load is connected to the line by the main control devices, which comprise the motor contactor, starter, and controller.There are four primary types of motor controllers and drives: stepper, servo, DC, and AC. Each has an input power type that has been changed to the desired output function to fit with an application.They are inverse, integral, and derivative functions. Depending on how complex a process is and how much control is needed, these control approaches may be employed alone or in combination to apply automatic control to that process.To learn more about motor controllers refer to:
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Find the ratio of the y velocity of the string to the slope of the string calculated in the previous part.
Express your answer as a suitable combination of some of the variables ω, k, and vp.
The ratio of the y velocity of the string to the slope of the string is given by the expression vy/m = ω/k.
Find the ratio of the y velocity of the string to the slope of the string calculated in the previous part?This ratio is determined by the angular frequency (ω) of the wave, the wave number (k) of the wave, and the phase velocity (vp) of the wave.The angular frequency (ω) is related to the frequency (f) of the wave by the equation ω = 2πf.The wave number (k) is related to the wave length (λ) of the wave by the equation k = 2π/λ.The phase velocity (vp) is related to the wave number (k) and the angular frequency (ω) by the equation vp = ω/k.Therefore, the ratio of the y velocity of the string to the slope of the string is given by the expression vy/m = ω/k = vp.The ratio of the y velocity of the string to the slope of the string is equal to the product of the angular frequency, ω, and the wave velocity, vp. This ratio is expressed as:velocity ratio = ω*vpThe angular frequency is related to the wave number, k, such that:ω = 2πkTherefore, the velocity ratio can be rewritten as:velocity ratio = 2πk*vpThis equation shows that the ratio of the y velocity of the string to the slope of the string is a combination of the angular frequency, wave number, and wave velocity. This ratio is an important factor in understanding the behavior of a wave in a string.To learn more about The ratio of the y velocity of the string refer to:
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a hockey puck at rest is equilibrium is it in equilibrium if it slides across ice at constant velocity
No, the hockey puck is not in equilibrium if it slides across ice at a constant velocity.
What is equilibrium?Equilibrium is a state of balance in a system where opposing forces are equal and there is no net change. In economics, equilibrium is a situation in which market supply and demand balance each other out and, as a result, prices become stable. When a market is in equilibrium, the amount of goods and services produced by suppliers is equal to the amount of goods and services demanded by consumers. In this state of balance, there is no tendency for prices to change. Equilibrium is an essential concept in economics, as it helps to explain how prices are determined in a market-based economy.
Equilibrium implies a state of balance, where the forces acting upon the object are balanced and the object is not accelerating. Since the hockey puck is moving across the ice surface at a constant velocity, there is an unbalanced force acting on it, causing it to move. Therefore, it is not in equilibrium.
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Describe an experiment to determine the frequency, amplitude and period of a flywheel in motion.
To determine the frequency, amplitude, and period of a flywheel in motion, one can conduct the following experiment:
Obtain a flywheel that is capable of rotating and vibrating.Attach a tachometer or a high-speed camera to the flywheel to measure its speed of rotation.Use a strobe light to freeze the motion of the flywheel at regular intervals.Observe and measure the displacement of the flywheel from its center of rotation at each interval.Plot the displacement of the flywheel against time to obtain a waveform.Determine the frequency of the waveform by counting the number of complete cycles of vibration that occur in one second.Calculate the amplitude of the waveform by measuring the maximum displacement of the flywheel from its center of rotation.Determine the period of the waveform by measuring the time it takes for one complete cycle of vibration.Repeat the experiment multiple times to confirm the results and calculate an average.The resulting data can be used to calculate the frequency, amplitude, and period of the flywheel's motion and can provide insight into the mechanical properties of the system.What is the flywheel about?A flywheel in motion refers to a rotating wheel that is used to store energy. It helps to maintain the velocity of an engine and to reduce fluctuations in the energy supplied to it.
In an experiment to determine the frequency, amplitude and period of a flywheel in motion, researchers will measure various characteristics of the wheel as it rotates, such as the speed of rotation, the amount of energy being stored, and the amount of time it takes for the wheel to complete one full rotation.
Therefore, This information will allow them to calculate the frequency, amplitude, and period of the flywheel, providing valuable insights into its behavior and performance.
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consult multiple-concept example 10 to review an approach to problems such as this. a cd has a mass of 17 g and a radius of 6.0 cm. when inserted into a player, the cd starts from rest and accelerates to an angular velocity of 21 rad/s in 0.80 s. assuming the cd is a uniform solid disk, determine the net torque acting on it.
A mass of 17 g and a radius of 6.0 cm. when inserted into a player, the cd starts from rest and accelerates to an angular velocity of 21 rad/s in 0.80 s. assuming the cd is a uniform solid disk, the net torque acting on the CD is 16063.5 g cm²/s².
To determine the net torque acting on a uniform solid disk, we need to find the moment of inertia and the net force acting on it.
The moment of inertia (I) of a uniform solid disk can be found using the formula: I = (1/2)mr², where m is the mass and r is the radius. In this case, I = (1/2)(17 g)(6.0 cm)² = 612 g cm².
The net torque (τ) can be found using the formula: τ = Iα, where α is the angular acceleration. To find α, we need to use the formula: α = Δω/Δt, where Δω is the change in angular velocity and Δt is the change in time. In this case, Δω = 21 rad/s and Δt = 0.80 s, so α = Δω/Δt = 21/0.80 = 26.25 rad/s².
Finally, the net torque can be found using the formula: τ = Iα = (612 g cm²)(26.25 rad/s²) = 16063.5 g cm²/s².
Therefore, the net torque acting on the CD is 16063.5 g cm²/s².
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While operating around buildings, the remote pilot in command (PIC) should be aware of the creation of wind gusts that:
Change rapidly in direction and speed, creating turbulence
While operating around buildings, the remote pilot in command (PIC) should be aware of the creation of wind gusts that change rapidly in direction and speed, creating turbulence.
The ATC authorization that is also known as air traffic control authorisation is the mechanism by which an operator is accepted to be able to operate in a controlled airspace. Usually the authorized pilot are aware of the wind gusts that change rapidly in direction and speed, creating turbulence.
Any pilot who is operating within a airspace of high buildings that is a controlled airspace is required to have the ATC authorization weather if the aircraft that he is using is small in size or big.
Usually the air space surface that is present above 10000 feet of the surrounding of the nation is considered to be the class B Airspace where fast wind are are observed.
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identify the ways in which ocean sediments can be used as direct evidence in solving different type of issues. (select all that apply.)
To map offshore pollution patterns, to identify sites for underwater construction projects, and to find offshore mineral resources, are the ways in which ocean sediments can be used as direct evidence of issues.
To map offshore pollution patterns: Changes in the composition and distribution of pollutants and trace elements in ocean sediments can provide evidence of environmental changes, including pollution.
To identify sites for underwater construction projects: The composition and physical characteristics of sediments can provide information about the suitability of a site for underwater construction, such as the stability of the sea bed and the potential for sediment movement.
To find offshore mineral resources: The distribution of specific mineral deposits in ocean sediments can be used to identify areas with potential for offshore mineral extraction.
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--The given question is incomplete, the complete question is:
"Identify the ways in which ocean sediments can be used as direct evidence in solving different type of issues. (Select all that apply.)
To map offshore pollution patterns
To identify sites for underwater construction projects
To find offshore mineral resources
To determine how climate has changed over geologic time"--
You slide across a icy sidewalk. According to Newtons first law, why are you in motion?
A. Inertia caused you to accelerate.
B. There is no air resistance.
C. A force overcame your inertia.
D. You are subject to balanced forces.
When you slide across a icy sidewalk, you are in motion because you are subject to balanced forces according to Newton's first law.
What is Newton's first law?A body remains in a condition of rest or uniform motion in a straight line until and until an external force acts on it, according to Newton's first law of motion.
According to Newton's first law of motion, a body won't begin to move unless and until an outside force acts on it. When anything starts moving, it won't stop or vary its speed unless another force acts on it. Hence, you slide across a icy sidewalk.
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Calculate the pressure exerted on the ground by a person weighing 70kg whose two feet cover an area of 400cm square.if the man stands on one foot,what is the new pressure he exerts on the ground?
The fundamental frequency of a pipe that is open at both ends is 544 Hz Part A How long is this pipe? Express your answer with the appropriate units. Part B If one end is now closed, find the wavelength of the new fundamental. Express your answer with the appropriate units. Part C If one end is now closed, find the frequency of the new fundamental. Express your answer with the appropriate units.
The length of a pipe open at both ends is:
Part A: To find the length of a pipe with a fundamental frequency of 544 Hz, use the equation v = fλ, where v is the speed of sound (343 m/s), f is the frequency, and λ is the wavelength. This gives λ = 343/544 = 0.6297 m.
Part B: If one end of the pipe is closed, the wavelength of the new fundamental will be half of the wavelength of the open pipe, so the wavelength in this case will be 0.3148 m.
Part C: To find the frequency of the new fundamental, use the equation f = v/λ, with v = 343 m/s and λ = 0.3148 m. This gives f = 1094 Hz.
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An object that is initially at rest breaks up into two pieces of unequal masses when a spring-loaded device is released. If you compare the kinetic energy of the larger mass to that of the smaller mass immediately after they separate, which of the following statements is correct?
A) The kinetic energy of the larger mass is greater. B) The kinetic energy of the smaller mass is greater. C) The kinetic energies of the two masses are equal. D) The total kinetic energy is zero J.
"The kinetic energy of the bigger mass is higher," is the right statement.
Among the below-mentioned statement, the statement given in option (A) is correct.
The initial potential energy of the system is transferred to kinetic energy when a spring-loaded mechanism is released and an item breaks into two pieces of unequal mass. The total beginning potential energy must match the whole final kinetic energy, according to the rule of conservation of energy.
Because both masses' initial kinetic energy is zero, the end kinetic energy will be split in proportion to their masses.
As a result, the bigger mass has more kinetic energy than the smaller mass.
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which of the following melodic features is used in the treble clef in measures 45 and 46 ?
There are two forms of the melodic minor scale: ascending and descending.
What is melodic features?
A melodic line has several key characteristics, including contour, range, and scale. The contour of melody is the overall line that rises, falls, arches, undulates, or moves in any other characteristic way.Definitions of melodic. adjective. containing or constituting or characterized by pleasing melody. synonyms: melodious, musical ariose, songlike. having a melody (as distinguished from recitative).For example: Solo vocalists use melody when they sing the main theme of a song. Choral vocalists sing melodies as a group. Some choruses sing the same notes in unison, like in the traditions of ancient Greece.There are two types of melodic motion: conjunct motion, which proceeds by step from one scale degree to the next (i.e., by the interval of a 2nd) and disjunct motion, which proceeds by leap.To learn more about features refers to:
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From a stationary hot-air balloon 500 feet above the ground, two sightings of a lake are made (see the figure). How long is the lake?
The length of the lake is 839.1 ft, if the height of the hot-air balloon is 500 ft.
Angle of depression of the farthest end, θ₁ = 25°
Angle of depression of the nearest end, θ₂ = 65°
Height of the balloon, h = 500 ft
The distance between the bottom of the balloon and the farthest end of the lake, x = 500/tan25 = 1072.25 ft
The distance between the bottom of the balloon and the nearest end of the lake, y = 500/tan65 = 233.2 ft
The length of the lake, l = 1072.25 - 233.2 = 839.1 ft
--The given question is incomplete, the complete question is:
"From a stationary hot-air balloon 500ft above the ground, two sightings of a lake are made. One at the farthest end of the lake at an angle of depression of 25 degrees and another at the nearest end of the lake at an angle of depression of 65 degrees. How long is the lake?"--
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Matt's book is motionless on a table.
Which force diagram would represent Matt's book? You may neglect the effects of air resistance.
1. Diagram A
2. Diagram B
3. Diagram C
4. Diagram D
A body moves 5m in 3rd second and it moves 9m in the 7th second. Find the distance moved by the body between t = 5s and t = 8s.
tysm! :)
Answer:
34 m
Explanation:
I will assume the body is accelerating uniformly
accel = change in velocity/change in time
4 m/s / 4 s =1 m/s^2
So in second 4 it moves 6 Then for second 5 it moves 7 m then 8 m Then 9 m in second 7 Then 10 m in second 8
Total(5 thru 8) = 34m
students are measuring the relationship between current and voltage in a circuit. the lab instructions say to plot the voltage versus the current. what values go on the x and y axes of the graph
The x-axis of the graph should be labeled "Current (A)", with the current in amperes (A) being the independent variable.
What is graph?A graph is a mathematical structure used to model relationships between objects. It is a collection of points, called vertices, and lines connecting them, called edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, and even abstract concepts. Graphs are useful in a variety of applications, including computer vision, artificial intelligence, graphics, and databases.
The y-axis of the graph should be labeled "Voltage (V)", with the voltage in volts (V) being the dependent variable. The graph should represent the relationship between voltage (y-axis) and current (x-axis).
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which one of the following statements concerning the electric field is false? the si unit of the electric field is the newton per meter (n/m). the magnitude of the electric field at a particular location due to a particular charged particle is inversely proportional to the square of the distance of the particle from that location. at a given point, a charged particle will experience a force, if an electric field is present at that location. if a positively charged particle is placed at a location where the electric field is directed due north, it will be accelerated due north. the electric field is a vector quantity.
The statement that is false is:
"if a positively charged particle is placed at a location where the electric field is directed due north, it will be accelerated due north."
A charged particle will experience a force in the direction of the electric field, but it may not necessarily be accelerated in the same direction. The acceleration of a charged particle depends on other factors such as the mass of the particle, the strength of the electric field, and any other forces acting on the particle. So, a positively charged particle may not be accelerated due north, even if the electric field is directed due north. The electric field is a fundamental concept in physics and is used to describe the force that a charged particle experiences in a given electric field. It is a vector quantity that represents the force per unit charge and is defined as the force that a charged particle would experience if placed at a given point in space.
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Which of the following statements are true concerning particles and antiparticles?Check all that apply.a) All particles have antiparticles.b) The antiproton can be described as the antiparticle to the proton.c) Antiparticles have a very long lifetime.d) Some particles serve as their own antiparticles.e) The proton can be described as the antiparticle to the electron.f) Antiparticles are produced in nuclear reactions.
The true statements concerning particles and antiparticles are:
b) The antiproton can be described as the antiparticle to the proton.
d) Some particles serve as their own antiparticles.
f) Antiparticles are produced in nuclear reactions.
Every charged particle has an antiparticle, which has the same mass and spin as it has but the opposite charge, according to the quantum field theory. All of the available experimental data supports this broad quantum field theory conclusion. The positron is the electron's antiparticle.
Antiparticles are subatomic particles with opposing electric charge and magnetic moment but the same mass as a particle of regular matter. Consequently, the positron (a positively charged electron) is the negatively charged electron's antiparticle.
An antiparticle is a subatomic particle that, by definition, has the same mass as its counterpart in a normal particle but the opposite magnetic moment and electric charge. For instance, the antiparticle of an electron is a positron.
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A spaceship is traveling at a velocity of v⃗0=(28.9m/s)î v → 0 = ( 28.9 m / s ) i ^ when its rockets fire, giving it an acceleration of a⃗=(2.12m/s2)î+(4.95m/s2)ĵ a → = ( 2.12 m / s 2 ) i ^ + ( 4.95 m / s 2 ) j ^
The final speed of the plane after 6.29 s is 62.866 m/s.
So the magnitude of the initial velocity is, V(0) = (28.9 m/s)
And the acceleration component is,
a = (2.12 m/s2)i + (4.95m/s2)j
So the magnitude of the acceleration is
a = √2.122 + √4.952
a = √4.50 + √24.5
a = √29
a = 5.4 m/s2
And the time is, t = 6.29 seconds
By the first law of motion,
V(f) = V(i)+at
V(f) = 28.9 + 5.4(6.29)
V(f) = 62.866 m/s
Where v(f) is the final speed of the spacecraft after 6.29 seconds. So, the final speed of the plane after 6.29 s is 62.866 m/s.
Your question is incomplete but most probably your full question was:
A spaceship is traveling at a velocity of v⃗0=(28.9m/s)î v → 0 = ( 28.9 m/s)i when its rockets fire, giving it an acceleration of a⃗=(2.12m/s²)î+(4.95m/s2)ĵ a → = ( 2.12 m/s²)i + ( 4.95 m/s²)j. How fast, in meters per second, is the rocket moving 6.29s6.29s after the rockets fire?
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Part A. A block is sliding with constant acceleration down an incline. The block starts from rest at t = 0 and has speed 3.40 m/s after it has traveled a distance 8.90 m from its starting point.
What is the speed of the block when it is a distance of 17.8 m from its t = 0 starting point? Express your answer with the appropriate units.
The speed of the block when it is a distance of 17.8 m from its starting point is 14.1 m/s.
What is speed?Speed is a rate at which something is travelling or moving. It can be measured in a variety of ways, such as miles per hour (mph), kilometres per hour (kph), metres per second (m/s), or knots.
The acceleration of the block can be calculated using the equation a = (v-u)/t, where a is the acceleration, v is the final velocity, u is the initial velocity and t is the time. Since the initial velocity of the block is 0 m/s, we can write: a = v/t.
Using the given information, we know that when the block has traveled a distance of 8.90 m from its starting point, its speed is 3.40 m/s. Therefore, we can calculate the acceleration of the block as follows: a = 3.40 m/s / (8.90 m / 3.40 m/s) = 0.38 m/s2.
Now, we can use the equation v2 = u2 + 2ax to calculate the velocity of the block when it is a distance of 17.8 m from its starting point. Substituting the known values, we get: v2 = 0 + 2(0.38 m/s2)(17.8 m) = 14.1 m/s2
Therefore, the speed of the block when it is a distance of 17.8 m from its starting point is 14.1 m/s.
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a clue to the process of planetary formation comes from meteorites, which are pieces of debris that have fallen from space to earth. most meteorites are made of materials that have remained unchanged since the time that the solar system was first forming, which make them excellent indicators of what conditions were like during that time.
Individual particles in the nebula stick together to form larger pieces which later collide with and stick to other pieces to gradually form larger objects, which eventually grow to the size of a planet.
A meteorite is a rock that falls to Earth from space. Some meteorites even contain tiny particles that formed around other stars that existed before our Sun.
All meteorites come from inside our solar system. Most of them are fragments of asteroids that broke apart long ago in the asteroid belt, located between Mars and Jupiter. Such fragments orbit the Sun for some time–often millions of years–before colliding with Earth.
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you have three charged conducting spheres. the magnitude of these charges are 2c, 3c and 4c. without knowing which charges are positive and which charges are negative, which of the following could represent the charge on a single sphere if the spheres are brought into contact with each other and then separated?a. -10 Cb. 15 Cc. 0.5 Cd. -1 C
The charge on a single sphere if the spheres are brought into contact with each other and then separated will be -1C
Hence, option (d) is the correct choice.
The net charge within a conductor is equal to zero. If a +q charge is applied to a solid sphere, it will be dispersed evenly throughout its surface. Inside the sphere, there will be no fee.
As a result, the electric fields will be identical to those of a hollow spherical.
If three conducting charged spheres are brought into contact and then separate, then total charges divide equally on each sphere and we can finch charge on a single sphere.
Here given, the magnitude of charges are 2C, 3C, 4C.
Then the charge on a single sphere will be -2C -3C +4C = -1 C
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Three metal cubes with edges 3 cm, 4 cm and 5 cm are melted to form a single cube. Find the area of the side formed in the large cub
The area of the side formed in the large is 36 cm².
What is cube?A cube is a three-dimensional solid object in geometry that is surrounded by six square faces, facets, or sides, three of which meet at each vertex. It looks like a hexagon when viewed from a corner, and its net is typically portrayed as a cross.
The total volume of the three cubes = 3³ cm³ + 4³ cm³ + 5³ cm³ = 216 cm³
So, the length of the edges of the new cube = ∛216 cm = 6 cm
Hence, the area of the side formed in the large cub = 6² cm² = 36 cm².
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when a ball thrown straight upwards reaches the very top of its path, its magnitude of acceleration is
when a ball thrown straight upwards reaches the very top of its path, its magnitude of acceleration is equal to acceleration due to gravity (g).
What is a Freely Falling Body?
A body is considered to be falling freely when it is dropped from a height under the influence of earth's gravity without being given any initial velocity.The body has no starting velocity.The body is subjected to an acceleration that is downward and equal to the earth's gravitational pull.The gravitational attraction of the earth causes the ball to become stationary when it reaches the highest point. When it eventually comes back, the speed is equivalent to the speed of gravity.Free fall causes an item to accelerate by -9.8 m/s². Free fall is any motion of a body in which gravity is the only force acting on it according to Newtonian mechanics. A body in free fall experiences no force according to general relativity, which reduces gravitation to a space-time curvature.To learn more about Free Fall from the given link
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Determine the resultant internal loadings in the beam at cross sections through points D and E. Point E is just to the right of the 16-kN load.Shear ForceShear force is the total effective force or resultant force vertical to the shaft or beam. Normal force is perpendicular to the shear force. The magnitude of the shear force depends on the vertical load applied to the beam.
The resultant internal loadings in the beam at cross sections through point D and E are 15.12 kN upwards and 34.88 kN upwards respectively.
To calculate the internal loading at point D and E, first we need to calculate the support reaction at A and C, by taking the moment about reaction A.
R₁ + R₂ = 25×4 + 15 = 115 kN
R₂ × 7 = 15 × 5.5 + 100 × (4×2/3)
R₂ = 349.167/7 = 49.88
R₁ = 115 - 49.88 = 65.12 kN
Internal loading at D = 65.12 - 25×2 = 15.12 kN upwards
Internal loading at E = 49.88 - 15 = 34.88 kN upwards
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--The given question is incomplete, the complete question is:
"Determine the resultant internal loadings in the beam at cross sections through points D and E in the given figure. Point E is just to the right of the 15-kN load."--
a 2.00-kg ball a moves at 3.00 m/s toward the right. it collides elastically with a 4.0-kg ball b that is initially at rest. the velocities of the balls after the collisions are
The velocity of ball a after the collision is 1.33 m/s and the velocity of ball b after the collision is 1.67 m/s.
The velocity of the balls after the impact may be calculated using the momentum conservation rule.
The system's momentum before the collision equals the system's momentum after the impact.
Each ball's momentum before the contact is determined by its mass and velocity.
Let us refer to the velocity of ball a following the collision as va' and the velocity of ball b following the collision as vb'.
The law of conservation of momentum may thus be stated as follows:
m1 * v1 + m2 * v2 = m1 * v1' + m2 * v2'
where m1 is the mass of ball a, v1 is its velocity before the collision,
m2 is the mass of ball b, and
v2 is its velocity before the collision.
Since ball b was initially at rest, v2 = 0 m/s.
Plugging in the given values, we get:
2.00 kg * 3.00 m/s + 4.00 kg * 0 m/s
= 2.00 kg * va' + 4.00 kg * vb'
Solving for va' and vb', we get:
va' = (4.00 kg * 0 m/s + 2.00 kg * 3.00 m/s) / (2.00 kg + 4.00 kg)
= 1.33 m/s
vb' = (2.00 kg * 3.00 m/s) / (2.00 kg + 4.00 kg)
= 1.67 m/s
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The magnetic structure of figure 1.21 was built with cast steel. As the final flux density is low, the relative magnetic permeability may be taken as 1000.
determine: a. the reluctance of all legs of the structure;
Magnets are one of the objects that are widely used in human life today, because of their ability to attract metal so that they can be used in everyday life. Magnets can be used in making electric motors, power plants and so on.
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Whait is harmonics of recuency?
A harmonic is a wave or signal whose frequency is an integral (whole number) multiple of the frequency of the same reference signal or wave.
Define harmonics of frecuency?
Harmonics is defined as the integer (whole number) multiple of the fundamental frequency. Open cylindrical columns, vibrating strings will vibrate at all the harmonics of the fundamental frequency.In music, harmonics are used on string instruments and wind instruments as a way of producing sound on the instrument, particularly to play higher notes and, with strings, obtain notes that have a unique sound quality or "tone colour".The first harmonic is also called the fundamental frequency. It is the lowest possible value of the frequency. In simple words, a wave that has only 2 nodes and an antinode is called the first harmonic.The harmonic frequencies are integer multiples [2, 3, 4, ...] of the fundamental frequency. For example, the 2nd harmonic on a 60 Hz system is 2*60 or 120 Hz. At 50Hz, the second harmonic is 2* 50 or 100Hz. 300Hz is the 5th harmonic in a 60 Hz system, or the 6th harmonic in a 50 Hz system.To learn more about frequency refers to:
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