The peak current, when the current lags EMF by 60 degrees in an RLC circuit with E₀=25 V and R= 50 ohms is 0.25 A.
In an RLC circuit, the current lags behind the EMF by an angle θ, where θ is given by the formula [tex]\theta = tan^{(-1)(XL - XC)} / R[/tex], where XL is the inductive reactance, XC is the capacitive reactance, and R is the resistance. Since the circuit is said to have a lagging power factor, it means that XL > XC, so the angle θ is positive.
Since the EMF (E₀) and resistance (R) are given, we can use Ohm's law to calculate the impedance Z of the circuit, which is given by Z = E₀ / I_peak, where I_peak is the peak current.
Since the circuit has a lagging power factor, we know that the reactance of the circuit is greater than the resistance, so we can use the formula XL = 2πfL and XC = 1/2πfC to calculate the values of XL and XC, where L is the inductance and C is the capacitance of the circuit.
Since the circuit has a lagging power factor, XL > XC, so we can calculate the value of θ using the formula [tex]\theta = tan^{(-1)(XL - XC)} / R[/tex]
Once we have calculated θ, we can use the formula Z = E₀ / I_peak to solve for the peak current I_peak.
Substituting the given values, we get:
R = 50 ohms
E₀ = 25 V
θ = 60 degrees
XL = 2πfL
XC = 1/2πfC
Using the given information, we can solve for XL and XC:
XL - XC = R tan(θ) = 50 tan(60) = 86.6 ohms
XL = XC + 86.6 ohms
Substituting these values into the equations for XL and XC, we get:
XL = 2πfL = XC + 86.6 ohms
1/2πfC = XC
Substituting the second equation into the first equation, we get:
2πfL = 1/2πfC + 86.6 ohms
Solving for f, we get:
f = 60 Hz
Substituting the values of R, XL, and XC into the equation for impedance, we get:
Z = sqrt(R² + (XL - XC)²) = sqrt(50² + (86.6)²) = 100 ohms
Substituting the values of E₀ and Z into the equation for peak current, we get:
I_peak = E₀ / Z = 25 / 100 = 0.25 A
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What are the domain and range of the function f(x) = 4(rootindex 3 startroot 81 endroot) superscript x?.
The domain of that function is a real number or can be written as {x | x is a real number}. The range of that funciton is {y | y > 0}.
How to find the domain and range of that function?Domain is all possibly value of "x" for a function to keep functional. In short, domain is a parameter of the function to work. By its definition, domain is a real number or in math written as {x | x is a real number}
As per given function f(x) = 4(3√81)ˣ. Because of there is no negative sign in the formula, The value of f(x) has to be greater than zero. So, f(x) > 0 or y > 0. Range = {y | y > 0}
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A thread holds two carts together on a frictionless surface. A spring is compressed between the two carts. After the thread between the two carts is cut the cart on the left with a mass of 1. 5 kg moves away with a velocity of 27 cm/s. What is the velocity of the cart on the right that has a mass of 4. 5 kg?.
The velocity of the cart on the right that has a mass of 4. 5 kg is 0.09 m/s.
Velocity is the rate of change of distance with respect to time.
It has the SI unit as m/sec.Mass on the left of the cart = m1 = 1.5 kg
on the left of the cart = v1 = 27 cm/s = 0.27m/s
Mass on the right of the cart = 4.5 kg
Velocity on the right of the cart = x
According to the law of conservation of linear momentum:
We can say that.
Initial momentum will equalize the final momentum.
And momentum is the product of mass and its velocity.
Assigning one of its velocity as negative because both are in different direction.
mathematically, (m1*-v1) + (m2v2) = 0
(1.5*-0.27) + (4.4*x) = 0
x = 0.09 m/s
So the velocity of the cart on the right side that has a mass of is 0.09 m/s.
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A ball has a momentum of 5 kg m/s before it hits a block of wood which is at rest. After the collision, the ball is at rest. What is the final momentum of the block?
I NEED AN ANSWER FAST!!!
A ball has a momentum of 5 kg m/s before it hits a block of wood which is at rest. After the collision, the ball is at rest. the final momentum of the block remains constant as per the law of conservation of momentum.
What is the law of conservation of momentum ?As per the law of conservation of momentum, The complete momentum of two or more bodies acting on one another in an isolated system remains constant unless an external force is applied.
Hence, as per the statement given there is no external force is applying so, the final momentum of the block is equal to ball's momentum and remains constant.
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POGIL - Energy of Option: The Effect of Mass and Speed (Student PS Activity 10) Answer key
Although mass does not directly affect speed, as an object's speed increases, so does its mass. The term "mass" refers to a thing's total amount of energy. Thus, we draw the conclusion that while a particle's mass increases with speed, its charge stays constant.
What is mass?A thing's mass is the total amount of stuff or substance that constitutes it. The measurement unit is the kilogramme, also written as kg. It's important to remember that mass is distinct from weight. Mass never changes, whereas weight fluctuates as the centre of gravity shifts. The best way to understand mass is to think about how much matter each object or body is made up of. Everything that we can see has mass.
How do we measure mass?A balance is used to determine an object's mass for the majority of commonplace objects. The balance compares the target object to a known mass object. Digital scientific balances and beam balances, like a triple beam balance, are examples of several sorts of balances.
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19 kg rock 8m above ground what is potential energy of the rock
Answer:
1489.6 Joules
Explanation:
Potential Energy:
[tex] \displaystyle{\text{PE} = mgh}[/tex]
m is mass (kg), g is acceleration due to gravity which is 9.8 m/s² (some people use 10 m/s² which is acceptable) and h is height. Hence, substitute in known values:
[tex] \displaystyle{\text{PE} = 19 \times 9.8 \times 8} \\ \\ \displaystyle{\text{PE} =1489.6 \: \text{J}}[/tex]
Hence, the potential energy is 1489.6 Joules
can anyone help? thanks.. physics Light
Light travels in straight lines. This explains how shadows are formed on sunny days, how images are formed in cameras, and why there are reflection in mirrors.
What is reflection?When two different media come together at an interface, a wavefront might change direction so that it returns to the first medium, which is termed as reflection. The reflection of light, sound, and water waves are typical examples. According to the law of reflection, the angle at which the wave incident on the surface equals the angle at which it is reflected for specular reflection (such as at a mirror).
You cannot see something unless you have 'line of sight' and the light can travel from the object to your eye in straight line. Light waves are one of the ways that energy from the Sun reaches the Earth.
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A team of students performs an experiment to test the effect of gravity on different objects with the same mass. They measure how long it takes the
objects to fall from the top of the school's bleachers. How can they insure they get accurate data? (1 point)
O by dropping the objects in random order
O by repeating the experiment several times
O by dropping all the objects at once
O by using a high-tech stopwatch
The students can ensure accurate data, by repeating the experiment several times.
option B.
What is the accuracy of an experiment?The accuracy of an experiment is how close the final result is to the correct or accepted value. The closer it is, the more accurate the experiment.
The accuracy of an experiment is obtained by performing the experiment repeatedly or many times.
Thus, for the team of students to obtain an accurate result on the effect of gravity on different objects with the same mass and time it takes the
objects to fall from the top of the school's bleachers, they must perform the experiment many times.
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Answer:
(Question) Which statement about mass is correct?
(Answer) Mass is the measure of the amount of matter in an object.
(Question) A student designs a gravity experiment. She will time how long it takes different objects to fall from her school’s roof to the ground. She will use three objects: a 2-foot-long board, a toy car, and a paper bag. What is wrong with her experiment’s design?
(Answer) The objects do not have the same size, shape, or mass, so any differences in drop times cannot be attributed to one variable.
(Question) Which statement about gravity is correct?
(Answer) Gravity is a force that attracts objects with mass toward each other.
(Question) A team of students performs an experiment to test the effect of gravity on different objects with the same mass. They measure how long it takes the objects to fall from the top of the school’s bleachers. How can they insure they get accurate data?
(Answer) by repeating the experiment several times
(Question) Students analyze their data from a gravity experiment. They find that objects fall at a greater speed from a greater height than from a lower height. What can they conclude?
(Answer) The longer an object falls, the more gravity increases its speed.
Explanation:
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An full shopping cart with a mass of 100. kg is moving at 5.0 m/s and runs into a stationary shopping cart that is empty (30. kg). After the collision, the full shopping cart is moving at 2.7 m/s. What is the empty shopping cart moving at?
The empty shopping cart is moving at 7.67 m/s.
What is law of conservation of momentum?According to the law of momentum conservation, momentum is only modified by the action of forces as they are outlined by Newton's equations of motion; momentum is never created nor destroyed inside a problem domain.
Total initial momentum = total final momentum
100 kg ×5.0 m/s + 30 kg ×0 m/s = 100 kg ×2.7 m/s + 30 kg ×v
v = (5.0 - 2.7)(100/30) m/s
= 7.67 m/s.
Hence, the empty shopping cart is moving at speed of 7.67 m/s.
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If a photon has a frequency of 5.20 x 1014 hertz, what is the energy of the photon? Given : Planks constant is 6.63 x 10 -34 joule.seconds
The energy of the photon can be calculated using the equation E = h * f, where E is the energy, h is Planck's constant (6.63 x 10^-34 Js), and f is the frequency of the photon (5.20 x 10^14 Hz). Plugging in the values, we get:
[tex]E = (6.63 x 10^-34 Js) * (5.20 x 10^14 Hz) = 3.48 x 10^-19 J[/tex]
How does the energy of a photon change as its frequency increases?The energy of a photon is directly proportional to its frequency. As the frequency of a photon increases, so does its energy. This relationship is described by the equation E= hf, where E is the energy of the photon, h is Planck's constant, and f is the frequency of the photon. Therefore, if the frequency of a photon increases, the energy of that photon will also increase. This is why high-frequency photons, such as X-rays and gamma rays, have higher energies than low-frequency photons, such as radio waves.
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Scenario
Consider a coin of massm placed on a rotating surface a
distance R from the axis of rotation. The surface rotates with a
period T. There are some locations on the surface where the coin
can be placed and the force of static friction will not allow the com
to slip. At other locations, the coin will slip because static friction or
not strong enough to present the coin from slipping. The coefficient
of static fraction between the coin and the surface is u
The coefficient of the static friction(ц) between the coin and the surface is v²/gR.
The mass of the coin = m kg
The distance of the coin from the axis of rotation = R meter
Let the speed of the rotating surface = v m/sec
We know that an object moving in a circular motion on a circular path of radius R, experiences a centrifugal force which acts outwards from the axis of rotation. This force is determined by the following formula,
F = mv²/R
This force is balance by the static friction force on the coin.
Static friction force on the coin = mg × static friction(ц)
mv²/R = mg × static friction(ц)
Static friction(ц) = v²/gR
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The energy in the nucleus of atoms produce heat which Can be used to generate which energy
Nuclear energy is the energy in the nucleus, or core, of an atom. Nuclear energy can be used to create kinetic energy or electricity, but it must first be released from the atom.
What produces heat in Nuclear energy?Nuclear energy originates from the splitting of uranium atoms – a process called fission. This generates heat to produce steam, which is used by a turbine generator to generate electricity. Because nuclear power plants do not burn fuel, they do not produce greenhouse gas emissions.
What are main uses of Nuclear energy?Some primary uses of nuclear energy are- Space Exploration, Nuclear energy provides nearly 20% of electricity in many countries like United States, Medical Diagnosis and Treatment, Criminal Investigation and Agriculture.
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Please help, will give brainiest
QUESTION 1.
Element X on Planet Qatar has three known isotopes: X-121 with a relative abundance of 43.2%, X-123 with a relative abundance of 53.1%, and X-129 with a relative abundance of 3.70%. What is the average atomic mass in amu of Element X given this information?
QUESTION 2.
How did Rutherford's experiment change the way scientists had previously viewed atomic structure? How did this pave the way for subsequent changes up to and including the currently accepted quantum mechanical atomic model?
QUESTION 3.
How is percent abundance related to average atomic mass?
a) The relative atomic mass is 122.35
b) The Rutherford model produced the planetary model of the atom and laid the foundation for the Bohr model
c) The percentage abundance shows the most popular isotope.
What is the relative abundance?We need to know that an element must be composed of the isotopes of the element. We have to know also that the isotopes of the element would all have the same atomic number but they would have different mass numbers for each of the elements that are under study.
We need to determine the average atomic mass of the element X as follows;
(121 * 0.432) + (123 * 0.531) * (129 * 0.037)
= 52.27 + 65.31 + 4.77
= 122.35
We can see that the calculation that we have made above has given the relative atomic mass of the isotope to be about 122.35.
Rutherford showed by experiment that at the core of the atom lies the nucleus around which the electrons evolve as planets round the sun hence the name planetary model. The furthered the ideas that led to the Bohr model of the atom.
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Assuming the acceleration is the same for each of the following objects which will require more force to cause acceleration 0 a lion 0 a mouse 0 a dog 0 an elephant
Answer: Elephant
Explanation: Because of an elephants weight and size, it would require more force for acceleration when compared to a lion, mouse, and/or dog.
Which type of resource is solar energy ?(a) Exhaustible resource (b) Soil resource(c) Biotic resource(d) Non-exhaustible resourcencit
The solar energy is Non-exhaustible resource. Hence, option (d) is correct.
What renewable resource?A natural resource that can be replenished to replace the portion used up by usage and consumption is known as a renewable resource, also known as a flow resource. This replenishment can occur naturally through reproduction or through other recurring processes in a limited amount of time on a human time scale.
The natural environment of the Earth and the main elements of its ecosphere are renewable resources. A resource's sustainability can be determined in large part by looking at its life-cycle assessment.
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What is the gas pressure within a cylinder if there is 5.0 g of co2 gas in a 10 L cylinder at 25 OC inside it?
Answer:
P V = N R T Ideal gas equation
1 mole CO2 = 12 + 32 = 44 g
5 g = 5 / 44 = .114 moles
One definition of R is R = .08207 L-Atm / mole-deg K
P = .114 * .08207 * 298 / 10 = .279 Atmosphere
One needs to use care in using R in terms of other values given
If an object moves in a straight line direction that is northward, the only other direction that it can move is.
Due to its only being able to travel to and fro, if an item goes in a straight line northern, the only additional direction it may move is southward.
What is motion in a straight line?Since linear motion consists of movement in one dimension in a straight line, also called as rectilinear motion, it may be analytically described only using just that spatial dimension.
The two forms of linear motion are non-uniform motion with changing velocity and non-zero acceleration.
Uniform linear motion is defined by a constant speed or no acceleration. A person moving linearly would sprint 100 m on a smooth path.
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A 8. 43-newton force was applied for an unknown displacement; however, it is known that 376 joules of work was done. What is the value of the mystery displacement?(1 point).
Answer:
8.74 m
Explanation:
W = FΔx
376 = 43(Δx)
8.74 = Δx
Hey there everyone!
_____________________________________________________
Answer:
So, if you have the following to choose from:
O 368 m
O 44.6 m
O 384 m
O 3170 m
44.6 m (aka. Option B) is correct.
_______________________________________________________
Step By Step Explanation:
1. F = 8.43 N
2. W = 376 J
3. W = F x d
4. 376 J = 8.43 N × d
5. d = 44.6 m ← Our Final Solution
_______________________________________________________
Hope this helps! If you still need help on this, feel free to check out the flash cards I made below.
h t t p s : / / q u i z l e t . c o m / 7 6 4 3 6 7 9 6 0 / p h y s i c a l - s c i e n c e - 2 2 - f o r c e - a n d - w o r k - r e l a t i o n s h i p s - f l a s h - c a r d s / ? n e w
Radius of curvature of human eye is 0.78 cm. For an object at infinity, image is formed at 3 cm behind the
Tetracting surface. The refractive index of eye is:
The refractive index of the eye cannot be determined with the information provided.
What is the refractive index of the eye,n ?This refers to the value obtained from the ratio of the speed of light in a vacuum to that in a second medium of greater density.
The refractive index is also equivalent to the velocity of light c of a given wavelength in empty space divided by its velocity v in a substance.
It can be calculated using the formula:
n = c/v.
where,
n = the refractive index of the eye
c = wavelength in empty space
v = the velocity of light
From the question:
r = 0.78 cm
i = 3 cm
The radius of curvature and the location of the image formed by an object at infinity is related to the eye's optics, but the refractive index also depends on the materials of the various parts of the eye, such as the cornea and lens.
Hence, the refractive index can also vary depending on the specific wavelength of light being considered.
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Dwayne filled a small balloon with air at 298.5 K. He put the balloon into a bucket of water, and the water level in the bucket increased by 0.54 liter.
If Dwayne puts the balloon into a bucket of ice water at 273.15 K and waits for the air inside the balloon to come to the same temperature, what will the volume of the balloon be? Assume the pressure inside the balloon doesn’t change. Round to the nearest hundreth.
The volume of the balloon at 273.15 K is _____ liters.
The volume of the balloon will be 0.494 liters.
What is volume?Volume is described as a measure of three-dimensional space which is often quantified numerically using SI derived units or by various imperial or US customary units.
We will use Charles law to solve for the volume and it states that the volume of the gas is directly proportional to the temperature of the gas at constant pressure and number of moles.
Mathematically V1 / T1 = V2/ T2
where,
v1 = initial volume of gas = ?
v2 = final volume of gas = 0.54 L
T1 = initial temperature of gas = 273.15 K
T2 = final temperature of gas = 298.5 K
Substitute all the given values in the above equation, we get the initial volume of balloon.
V1 / 0.54 = 273.15/ 273.15
v1 = 0.494 liters.
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A 2400 kg car traveling to the north is
slowed down uniformly from an initial velocity
of 21.0 m/s by a 7110 N braking force acting
opposite the car's motion.
a) What is the car's velocity after 2.00 s?
Answer in units of m/s.
The car's velocity is 36.07 m/s if A 2400 kg car traveling to the north is slowed down uniformly from an initial velocity of 21.0 m/s by a 7110 N braking force acting opposite the car's motion.
What is a simple definition of velocity?
Velocity is a vector expression of the displacement that an object or particle undergoes with respect to time . The standard unit of velocity magnitude (also known as speed ) is the meter per second (m/s).
What is an example of velocity and speed?
Velocity is speed with a direction. Saying Ariel the Dog runs at 9 km/h (kilometers per hour) is a speed. But saying he runs 9 km/h Westwards is a velocity. Imagine something moving back and forth very fast: it has a high speed .
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Which sample of argon gas has the same number of atoms as a 100. -milliliter sample of helium gas at 1. 0 atm and 300. K?.
Answer:
one mole of each gas has the same number of molecules (Avogadro's No)
i mole He = 4 grams
1 mole Argon = 38 grams
1 mole Argon / 1 mole He = 9.5
one would need 950 ml of Ar gas
Mention and describe (6) examples in which physics has been used in daily life
Six examples in which Physics has been used in daily life include:
TransportationCommunicationsEnergy productionMedical imagingConstructionEntertainmentWhat are some uses of physics in daily life ?Physics plays a major role in transportation, from the design of cars and airplanes to the operation of trains and buses. Physics is also used in communications, from the design of telephone networks to the operation of the internet.
Physics is used to generate energy from various sources, such as fossil fuels, nuclear power, hydroelectric power, and wind power. Physics is used in medical imaging, such as X-rays, CT scans, and MRI.
Physics plays a major role in construction, from the design of buildings and bridges to the materials used in construction. Physics is also used in entertainment, from the design of amusement park rides to the operation of video games.
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Which example shows Pascal's principle?
O a hydraulic jack
O the wing of an airplane
O a pulley
O a wind tunnel
Which example shows Pascal's principle a hydraulic jack .
What is a hydraulic jack?
A hydraulic jack is a device used to lift heavy objects or materials by using a hydraulic cylinder to generate a large amount of force. It works by using a pump to transfer fluid from a reservoir into a cylinder, which in turn applies pressure to a piston.
When the pressure is high enough, the piston will push against the object it is lifting, allowing the user to raise or lower the object. Hydraulic jacks are often used for automotive repair, construction, and other heavy-lifting applications.
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Suppose you are choosing between two roads. The first route is 70 miles at 55 mph, and the second road is 85 miles at 65 mph. Which route would get you there faster, and in what amount of time?.
As a result, the first path would take 1 hour, 18 minutes to get you there.
What is the word for amount of time?Duration is the whole time that anything exists. A duration might be short, like the duration of a party, or it can be extensive, like the length of a lecture series. The time it takes to finish anything has come to be denoted by the term duration. Except for noon and midnight, use numerals for the times; separate the hours and minutes with a colon; and avoid using cyphers (double zeros) for complete hours.
It would take around 1 hour and 18 minutes to travel the first route, which is 70 miles long and travels at 55 mph. It would take around 1 hour and 21 minutes to travel the second route, which is 85 miles long and travels at a speed of 65 mph.
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The specific heat capacity of a pure substance can be found by dividing the heat needed to change the temperature of a sample of the substance by the mass of the sample and by the change in temperature. The heat capacity of a certain substance has been measured to be. Suppose of the substance are heated until the temperature of the sample has changed by. Write an equation that will let you calculate the heat that was needed for this temperature change. Your equation should contain only symbols. Be sure you define each symbol.
An equation that will let you calculate the last Q that was needed for this temperature change is Q = MCΔT.
The following formula can be used to determine how much heat is required to cause a change in temperature:
Q = MCΔT
Where:
The required heat, Q, is expressed in joules (J).
M is the substance's mass, expressed in grams (g)
C is a substance's specific heat capacity expressed in J/g°C.
T is the change in temperature expressed in degrees celsius (°C).
As a result, we can determine how much heat is required to change the temperature as follows:
Q = MCΔT
Q = 420 x 3.52 x 43.8
Q = 64753.92 J
Thus, 64753.92 J of heat are required to change the temperature.
Your question is incomplete but most pprobably your full question was
The specific heat capacity of a pure substance can be found by dividing the heat needed to change the temperature of a sample of the substance by the mass of the sample and by the change in temperature. The specific heat capacity of a certain substance has been measured to be 3.52 J/g °C. Suppose 420.0 g of the substance is heated until the temperature of the sample has changed by 43.8 °C.
Write an equation that will let you calculate the last Q that was needed for this temperature change. Your equation should contain only symbols. Be sure to define each symbol.
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ApplyStreets A and L run parallel to each other. BoulevardN forms a 75° angle with Street L south of (below) theirintersection. What angle does Boulevard N make withStreet L north of (above) their intersection? Justifyyour answer.
The angle that Boulevard N makes with Street L north of their intersection is also 75°.
What is intersection?Intersection is a point where two or more lines, curves, surfaces, or objects meet or cross each other. It is a common concept in mathematics, engineering, and everyday life. In mathematics, an intersection is a point where two or more sets of objects meet. In engineering, an intersection is a point where two or more roads, railways, or other transportation routes meet. In everyday life, an intersection is a point where two or more paths, streets, or other routes meet. Intersections are important in transportation, as they are the points where vehicles can change direction or turn around. Intersections are also important in mathematics, as they are the points where two or more lines, curves, or surfaces meet.
This is because the angle formed by two parallel lines is always equal. Since A and L run parallel to each other, the angle formed by Boulevard N and Street L south of their intersection is equal to the angle formed by Boulevard N and Street L north of their intersection. Therefore, the angle that Boulevard N makes with Street L north of their intersection is also 75°.
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If a firefighter dropped a person onto the safety net, and right
before the person hit the net they had a velocity of 12 m/s and
1800 J of kinetic energy, then what was the mass of the
person?
The kinetic energy of an object is half of the product of mass and square of velocity. Then, for a person with a kinetic energy of 1800 J and velocity of 12 m/s is 25 kg.
What is kinetic energy ?Kinetic energy of an object is generated by virtue of its motion. It is related to the mass and velocity by the expression as follows:
Ke = 1/2 m v².
Thus, as the mass or velocity increases, kinetic energy increases.
Given velocity of the person = 12 m/s
kinetic energy = 1800 J
1/2 m v² = 1800 J
The mass of the person can be then calculated as follows:
m = 2 Ke/v²
m = 1800 J × 2 / (12 m/s)²
m = 25 Kg.
Therefore, the mass of the person is 25 Kg.
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What is the formula of a magnitude?
The formula of a magnitude is |v| =√(x2 + y2)
A vector formula's magnitude can be used to condense the numerical value of a particular vector. A vector has a magnitude and a direction. This magnitude of a vector formula provides a summary of the individual vector measurements along the x, y, and z axes. The symbol for it is |v|.
|v| =(x2 + y2) is the formula to calculate the magnitude of a vector (in two dimensions) v = (x, y). The Pythagorean theorem serves as the basis for this formula.
|V| = (x2 + y2 + z2) is the formula to calculate the magnitude of a vector (in three-dimensional space) V = (x, y, z).
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if you walked one km from your home to the store and then one km back home then walked a distance of km and your displacement was km.
Your home's location at x and the store's location at x + 2 km
Solving the displacement problem.
What does physics mean by displacement?"Displacement" describes a change in an object's location. An arrow pointing from the starting point to the finishing point serves as the object's symbol. For instance, an object's position changes if it shifts from position A to position B. For instance, an object's position changes if it shifts from position A to position B.
Displacement formula: What is it?Substitution Formula
The final position less the starting position is known as displacement.
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If you walked one kilometer from your home to the store and then one kilometer back home, you did indeed cover a distance of two kilometers. The distance is calculated by adding the lengths of the two separate paths together, which in this case would be 1 kilometer + 1 kilometer = 2 kilometers.
However, when we talk about displacement, we're referring to the change in position or the shortest straight-line distance between your starting point and your ending point. In this scenario, since you ended up back at your starting point, your displacement is 0 kilometers. This is because the straight-line distance from your home to the store is canceled out by the straight-line distance from the store back to your home.
To better understand this concept, let's consider an example. Imagine you take a trip around a circular track. You start at one point, go all the way around the track, and end up back at the starting point. Even though you covered a certain distance along the track, your displacement is still 0 because you ended up back where you started.
So, in summary, the distance you walked is 2 kilometers, but your displacement is 0 kilometers because you returned to your starting point.
What are the domain and range of FX =- 37?
The domain of f(x) = –37 is all the real numbers. And, the range of f(x) = –37 is y = –37.
The given function f(x) = –37 is a horizontal line which goes from negative infinity to positive infinity.
In this case, the domain can be any number since there is no limit on what the x value can be.
So, the domain of the given function f(x) = –37 will be all real numbers.
And, the range will always be y = –37 because no matter what x value will equal, y will always be equal to –37 in the function of f(x) = –37.
So, the range of the given function f(x) = –37 will be y = –37.
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