The equivalent capacitance is 21 μF.
In electrical engineering, equivalent capacitance often abbreviated as C eq—is a measurement of the total combined electric charge held in two or more capacitors connected in series or parallel. A capacitor is an electrical device that stores electrical energy into the electric field. Typically, a capacitor has two electrical leads that are separated by a dielectric or other insulating substance.
We are given that,
capacitance =c₁ =9 μF
capacitance = c₂ =6 μF
capacitance = c₃ = 3 μF
capacitance = c₄ =2 μF
capacitance = c₅ = 1 μF
Thus If the capacitor is connected in parallel the equivalent capacitance, cₐ can be calculated by the equation,
cₐ= c₁+c₂+c₃+c₄+c₅
cₐ = 9 +6 +3 +2+1 μF
cₐ = 21 μF
Therefore , The equivalent capacitance would be 21 μF.
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a wall of death rider is driving a mehran - a popular hatchback. the radius of the wall of death (or maut ka kuwa in the vernacular) is 5m. the top speed that his old mehran can get to is 80 km/h. what is the minimum coefficient of friction between rubber and wood that would keep our friend and his mehran from crashing down?
The minimum coefficient of friction needed to keep the car from crashing down is 16.3. That's mean the friction force between the tires and the surface of the wall of death must be at least 16.3 times greater than the normal force acting on the car.
The minimum coefficient of friction needed to keep the car from crashing down is determined by the forces acting on the car. When a car is driving in a circle, it is constantly being pulled outward by a force called centrifugal force. This force is equal to the mass of the car multiplied by the square of its speed, divided by the radius of the circle it is driving in. In order to keep the car from crashing, the friction force between the tires and the surface of the wall of death must be greater than or equal to the centrifugal force.
The formula for the minimum coefficient of friction needed is:
μ = Fcentrifugal / Fnormal
where μ is the coefficient of friction, Fcentrifugal is the centrifugal force acting on the car, and Fnormal is the normal force acting on the car.
To calculate the minimum coefficient of friction needed, you need to first calculate the centrifugal force acting on the car. The formula for this is:
Fcentrifugal = [tex]mv^2 / r[/tex]
where m is the mass of the car, v is the speed of the car, and r is the radius of the circle.
Plugging in the values from your question, the centrifugal force is:
Fcentrifugal = [tex](800 kg) * (80 km/h)^2 / (5 m)[/tex]
= 128,000 N
The normal force is equal to the weight of the car, which is the mass of the car multiplied by the acceleration due to gravity. The weight of the car is:
Fnormal = (800 kg) * (9.8 m/s²)
= 7,840 N
Plugging these values into the formula for the minimum coefficient of friction, we get:
μ = 128,000 N / 7,840 N
= 16.3
Thus, the minimum coefficient of friction is 16.3.
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A stream is 30. Meters wide and its current flows southward at 1. 5 meters per second. A toy boat is launched with a velocity of 2. 0 meters per second eastward from the west bank of the stream. How much time is required for the boat to reach the opposite bank of the stream?.
The time required for the toy boat to reach the opposite bank of the stream is 20 seconds.
To solve this problem, you need to use the concept of vector addition to find the net velocity of the toy boat relative to the ground. The net velocity of the toy boat is equal to the velocity of the current plus the velocity of the toy boat relative to the current.
The velocity of the current is 1.5 meters per second southward, and the velocity of the toy boat is 2.0 meters per second eastward. When these velocities are added vectorially, the resulting net velocity is 2.6 meters per second at an angle of 63.4 degrees east of south.
To find the time required for the toy boat to reach the opposite bank of the stream, you can use the distance traveled and the speed to calculate the time using the equation t = d/s, where t is the time, d is the distance, and s is the speed.
The distance traveled is 30 meters (the width of the stream), and the speed is 2.6 meters per second. Plugging these values into the equation gives you a time of t = 30 meters / 2.6 meters per second = 11.54 seconds. Rounding up to the nearest whole number gives you a time of 20 seconds.
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What is cutoff frequency Mcq?
Minimum operating frequency or the cut off frequency for a rectangular waveguide is given by: f c = c 2 m 2 a 2 + n 2 b 2. a = length of the waveguide. b = height of the waveguide. m,n = modes of operation.
What is a wavelength?
Wavelength is the distance between identical points( conterminous peaks) in conterminous cycles of a waveform signal propagated in space or along a line. In wireless systems, this length is generally given in measures( m), centimeters( cm), or millimeters( mm). In the case of infrared( IR), visible light, ultraviolet( UV), and gamma shafts( γ)The wavelength is more frequently given in nanometers( nm), which are units of 10- 9 m, or angstroms( Å)., which are units of 10- 10m. Wavelength is equally commensurable to frequence, which refers to the number of surge cycles per second. The advanced is the frequence of the signal, the shorter the wavelength.To know more about Wavelength, click the link given below:
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a ball moves with a constant speed of 4 m/s around a circle of radius 0.25 m. what is the period of the motion? [hint: for this calculation, you need to know the circumference of the circle.
The period of the motion will be equal to 0.39s.
What is a period of circular motion?The period of the circular motion can be described as the time taken for the object to complete one revolution around the circle and is commonly denoted by the symbol 'T'.
Given, the speed of the ball, v = 4 m/s
The radius of the ball, r = 0.25 m
The relation between the speed, radius of the circular path, and time period:
V = Rω
V = R (2π/T)
V = 2πR/T
4 = 2×3.14 × 0.25/T
T = 0.39 s
Therefore, the period of motion is equal to 0.39s.
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5.112. moving moving wedge. a wedge with mass m rests on a frictionless, horizontal tabletop. a block with mass m is placed on the wedge (fig. p5.112a). there is no friction between the block and the wedge. the system is released from rest. (a) calculate the acceleration of the wedge and the horizontal and vertical components of the acceleration of the block. (b) do your answers to part (a) reduce to the correct results when m is very large? (c) as seen by a stationary observer, what is the shape of the trajectory of the block?
A moving wedge, wedge with mass m rests on a frictionless, horizontal tabletop. a block with mass m is placed on the wedge (fig. p5.112a). there is no friction between the block and the wedge. the system is released from rest. Acceleration of the wedge if the system is released from rest = (M+m)gcotQ.
Acceleration- Acceleration is defined as the rate at which velocity changes with time, in terms of both speed and direction. A point or an object moving in a straight line is accelerated if it speeds up or slows down. Motion on a circle is accelerated even if the speed is constant, because the direction is continually changing.
Therefore, the acceleration of the wedge from solution in the image, is (M+m)gcotQ.
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A researcher is studying the effects of
negative outcomes on the human brain in
a psychological experiment. The
researcher shows ten participants various pictures
and designs. When the participants see a red star,
they are immediately given a brief, painful shock
and their brainwaves are analyzed. A different
group of ten participants is given the same
pictures and designs but are given no shock when
they see the red star.
What was the control in the experiment?
A.The picture of the red star.
B.The group that is given no
shock.
C.The electrical shock.
D.The pictures and designs.
The control in the experiment is option B. The group that is given no shock.
What do experimental controls mean in terms of science?The method utilized by the researcher in scientific study to reduce the impact of unimportant factors is known as experimental control. The power of the independent variable to alter the dependent variable is further strengthened by experimental control. 9 Nov 2021
A controlled experiment is a scientific test carried out under predetermined circumstances in which only one (or a small number of) variables are altered at a time while all other variables are maintained constant.
Researchers use experimental controls to reduce the impact of unrelated experience and environmental factors, as well as to strengthen the conclusion that changes in the dependent variable are caused by the independent variable (the ability to infer causality).
Hence, option B is correct as it is not receiving any special treatment in the experiment.
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How long will it take a horse to gallop 20 miles at 4mph
hours
Answer:
1 hour 30 minutes
Explanation:
because it is going 4 miles and i did this and i got it right
During a live action show, an acrobatic performer will fall from heights onto a large foam mat. While these falls would normally injure a person, the performer is unharmed. From the perspective of momentum, what is the best explanation for this?.
The following relationship between impulse and momentum enables for the proper outcome to be determined: The average force Impulse falls as impact time increases.
The impulse, which is connected to the fluctuation in the quantity of movement, is calculated by multiplying the applied force by the time interval. I=F dt =p =m v f - m v0
When I is the impulse, F is the applied force, t is the time, p is the momentum, m is the mass, and v is the body's velocity, all of which are vectors. When the body stops, its speed is zero, and the height of the body affects how quickly it strikes the foam bed. A certain amount of force must be applied in order for someone to be hurt.
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if the triple beam balance scale and spring scale were taken to the top of mt. everest, do you think they measure same as in nyc?
No, the triple beam balance scale and spring scale would not measure the same as in NYC if taken to the top of Mount Everest.
This is because the atmospheric pressure at the top of Mount Everest is much lower than the atmospheric pressure at sea level. As atmospheric pressure changes, the weights of objects change as well. This phenomenon is referred to as barometric pressure.
The barometric pressure at the top of Mount Everest is around 250 mmHg, whereas the pressure at sea level is 760 mmHg. Since the atmospheric pressure is much lower at the top of Mount Everest, the weight of the objects being measured on the triple beam balance scale and the spring scale would be lower than they would be at sea level.
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What is true about radiation Mcq?
Your body contains a variety of radioactive isotopes is the one that best describes radiation.
What is the definition of radioactive isotopes?(RAY-dee-oh-I-suh-tope) an unstable variation of a chemical substance that emits radiation as it disintegrates and grows more stable. Both natural and artificial radioisotopes can be created. They are employed in medical practice for both therapy and imaging examinations. termed radionuclide as well.
Why do radioactive isotopes pose a threat to human life?When a human inhales or consumes a radioisotope, it is dispersed to various organs and stays somewhere for days, months, or years, producing a constant dose of radiation, until it decays or is expelled (committed dose). consequences include baldness, skin burns, nauseousness, gastrointestinal trouble, or death (Acute Radiation Syndrome).
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I don’t understand this
The toy does not approach the spring.
What is friction?The force that prevents one solid object from slipping or rolling over another is known as friction.
Mass of the toy-car: m = 2 kg.
Initial speed of it: v = 2 m/s.
Coefficient of friction: μ = 0.14
Distance between the initial position and the spring: s = 3 m.
Kinetic energy of it at initial = 1/2 × 2 × 2² joule = 4 joule.
Work done against frictional force = μ×mg×s = 0.14 × 2 × 9.8 × 3 joule = 8.232 joule.
It can be seen that initial energy of the toy is less than the required energy ( which is used against frictional force as a work done) to reach at the spring. So, the toy does not approach the spring.
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the speed of light drops to 2.26 × 108 m/s in water. what is the dielectric constant of water?
The dielectric constant of water is 1.760.
The relative permittivity or quantity of charge needed to generate one unit of electric flux in a particular medium is known as the dielectric constant.
We are given that,
Speed of light = c = 3 × 10⁸m/s
Speed of light drops in water= V = 2.26 × 10⁸ m/s .
The dielectric constant of water (k) can be calculated as,
v = c/√K
K = (c/v)²
K =(3 x 10⁸ / 2.26 x 10⁸)²
K = 1.760
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Starting from rest, a freely falling object falls 125 meters in?
Answer:
5.05 sec
Explanation:
h = 1/2gt²
solve for t:
t² = (2h)/g
t = √(2h)/g = √((2)(125 m)) / (9.8 m/s²) = 5.05 s
Does weight matter on a boat?
Yes, the weight on the boat matters because it decides whether the boat will sink or float.
Yes, the weight that is present on the boat matters because it will decide that if the boat will sink in the water or float on the water.
We know that the Archimedes principle says that there is an upward force acting on the boat that is equal to the weight of the fluid displaced by the boat.
So, if the weight present on the boat is greater than the buoyancy of the boat, the boat will sink but if the weight present on the board is less than the buoyancy of the boat, the boat will sink.
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Which of the following statements describes the relation between what we observe and the predictions of the nebular model of the formation of the Solar System?
a. The model predicts icy planets nearest to the Sun and we observe icy planets there.
b. The model predicts icy planets throughout the Solar System and we observe icy planets only far from the Sun.
c. The model predicts icy planets throughout the Solar System and we observe icy planets everywhere.
d. The model predicts icy planets throughout the Solar System and we observe icy planets only nearest to the Sun.
e. The model predicts icy planets farthest from the Sun and we observe icy planets there
e. The closest planets to the Sun should be rocky, and we do indeed see them there.
What of the above is a nebular theory prediction?The nebular theory, however, states that a clouds will rotate quickly once it becomes relatively tiny.
What term sums up the nebular theory the best?The nebular theory proposes that a rotating cloud of material called a nebula, composed primarily of light components, flattened into the a protoplanetary disk and developed into a solar system made up of a star and circling planets.
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The closest planets to the sun should be ice, and we do indeed see icy worlds. The relationship between the nebular hypothesis of the solar system's creation is described in those sentences.
What does the solar system mean?The planetary Venus, Mercury, Earth, Mars, Planets, Jupiter, Saturn, and Neptune are all part of our solar system, as are dozens of moons, hundreds of meteors, meteorites, and gaseous planets, as well as Pluto, a dwarf planet.
Why is the solar system so crucial?The Solar System is the only system in which a habitable planet has been observed, the one and only star mankind can observe up close, and the only planets we can explore with spacecraft. Research into the solar system is crucial for comprehending the evolution of planetary.
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What are 3 examples of balanced force?
Answer:
Resting against a wall.
Lying down.
Aircraft in a steady-flight.
jannah is trying to replace the lens on her camera. what should she look for on both the lens and the circular base to help her do this?
To replace the lens on a camera, Jannah should look for a series of matching features on both the lens and the circular base of the camera. These features will help her to properly align and attach the lens to the camera.
On the lens, Jannah should look for a mounting index, which is typically a small dot or line on the lens barrel. This mounting index helps to align the lens with the mount on the camera.
On the circular base of the camera, Jannah should look for the lens mount, which is a series of metal contacts and a mechanical linkage that allows the lens to be securely attached to the camera. The lens mount typically consists of a set of flanges or lugs that correspond to the mounting index on the lens.
To attach the lens to the camera, Jannah should align the mounting index on the lens with the lens mount on the camera, and then turn the lens in a clockwise direction until it is securely attached. Some lenses may require a specific torque to be tightened properly, so it is important to follow the manufacturer's instructions when attaching the lens.
Once the lens is properly aligned and attached, Jannah should check to make sure that the lens is securely fastened to the camera and that it is properly seated in the lens mount. If the lens is not securely attached or is not properly seated, it may not function properly or may become damaged.
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What is the time it takes one-half of the nuclei in a sample of a radioactive isotope to decay called?
A radioactive isotope's half-life is the length of time it takes for one half of it to decay.
What does a radioactive isotope's half-life mean?The period of time it takes for half of a radionuclide's radioactive atoms to decay is known as the half-life. A good rule of thumb is that you will have less radiation than 1% of the original amount after seven half-lives.
What does a decay half-life mean?A half-life is the amount of time it takes for something to go from 100% to 50%. The term is most usually used to describe radioactive decay, which occurs when unstable and energetic atomic particles lose momentum. 29 components have been demonstrated to be able to go through this procedure.
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What is the most common type of genetic disease?
The most prevalent, deadly hereditary disease in the US is cystic fibrosis (CF). disorders brought on by a gene mutation. Think about sickle cell disease.
What is a typical genetic illness?Genetic conditions. Crohn's disease. CF. Dysplastic fibrosis Cirrhosis liver fibrosis disease Brain, Nerves, and Spine When your genes or chromosomes undergo a mutation, genetic illnesses result. While some illnesses manifest symptoms from birth, others do so over time.
Which of the following 4 genetic illnesses are they?There are four primary categories: illnesses with a single gene. hereditary inheritance illnesses with multiple factors. aberrant chromosomes. diseases caused by mitochondrial genetic inheritance. Chromosome abnormalities occur when one or more chromosomes (or chromosome segments) are absent or altered.
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the greater efficiency achieved with the curved blades of a pelton wheel is due to
The greater efficiency achieved with the curved blades of a Pelton wheel is due to the fact that the curved blades create a Venturi effect, which increases the velocity of the water as it passes through the wheel. This increased velocity results in a greater amount of energy being extracted from the water, resulting in a higher efficiency.
What is the wavelength of 3 Hz?
A wave's duration, T, is 13 seconds if its frequency, f, is 3 Hz.The wavelength is 5 meters long.This indicates that wave moves 5 m in one interval.
What wavelength does one hertz have?Sounds in air at a frequency of one hertz (Hz):340 m A:These molecules are already flowing in the direction of the source in response to the loudspeaker membrane's inward motion.
A 3 wavelength lamp: what is it?A blue light LED chip, a green light LED chip, as well as a red fluorescent film are employed as light sources and a light transition layer, respectively, in a three spectrum organic light - emitting diode (LED) arrangement.
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Jayce goes on a bike ride to Luc’s house. What will be his velocity if he is traveling at 31 km/h for 12.5 minutes?
The velocity if he is traveling at 31 km/h for 12.5 minutes is 149.04
How to solve for the velocityWhen an item is moving, its velocity is the rate at which it is changing position as seen from a specific point of view and as measured by a specific time standard.
We have the formula for velocity as
V = distance / time
the distance = 31 km/h
the time = 12.5 minutes
convert the time to hours to get the velocity
12.5 minutes / 60
= 0.208 hrs
Then the velocity = 31 km/h / 0.208
= 149.04
Hence the velocity is 149.04
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How do you write an inverse variation equation given X and Y?
The formula y=k x or x y=k represents an inverse variation. In other words, if there is a nonzero constant k such that x y=k or y=k x where x0, y0, y varies inversely as x.
The variation formula is either y = k/x or k = x y.
Replace with the supplied values to determine the value of k.
With the known value for k, rewrite the variation equation as y = k/x.
Find the unidentified by substituting the remaining values.
According to the expressions "y varies inversely as x" and "y is inversely proportionate to x," y decreases as x increases or vice versa. There are two translations for this idea. For some constant k, referred to as the constant of proportionality, y x = k. If the constant is desired, use this translation.
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If a net force of 10. Newtons acts on a 6. 0-kilogram mass for 8. 0 seconds, the total change of momentum of the mass is.
The total change of momentum of the mass is 80.016 kgm/s approximately 80 kgm/s.
The product of the mass and the change in velocity determines the change in momentum.
Since the mass is a constant, it stays the same.
A shift in momentum is caused by a change in velocity.
The letter " Δp" stands for the change in momentum.
As per the question, Net force = 10 N
Mass of the object = 6.0 Kg.
Time = 8.0 Sec.
As per Newton's first law of motion:
v=u+at, where, v = final velocity
u = initial velocity
a = acceleration
t = time
So, we can write it as: vf - vi = at (vf= final velocity, vi=initial velocity)---(i)
Applying Newton's second law
F = ma.
So, 10 = 8*a => a = 1.667 m/s^2.
So, from (i),
vf - vi = 1.667 x 8 = 13.336 m/s ---(ii)
So, change in momentum M = m(vf - vi)
Where M is a change in momentum, m is mass
So, the value of change in momentum will be
M = 6 x 13.336 = 80.016 kgm/s approximately 80 kgm/s.
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Sound waves are transferred by the compression of particles. The closer the particles are to one another, the faster the energy is transferred. Therefore, sound energy directly depends upon the _________ of the medium.
The sound energy directly depends upon the density of the medium. The correct option is A. When particles are compressed, sound waves are transmitted. The energy is exchanged more quickly the closer the particles are to one another.
The pattern of disturbance brought about by the movement of energy as it spreads from the source of the sound across a medium is known as a sound wave.Pressure waves and item vibrations, as those from a ringing phone, create sound waves.
Four main elements make up a sound wave: wavelength, period, amplitude, and frequency.
Sound waves are known as longitudinal waves because they are created by compressions and rarefactions in the air. In a path parallel to the propagation direction, air molecules vibrate.The distance between the particles increases with the speed of energy transfer. As a result, the relationship between sound energy and medium density is linear.
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What are 2 examples of irony in The Interlopers?
In “The Interlopers”, irony is a key element the author Saki uses to convey the theme that when people hold grudges, the outcome of the feud is often tragic and The dramatic irony is that both men wish to meet the other man face to face with no witnesses around—each man has the wish to kill the other.
What is an irony?
Irony in its broadest sense is the juxtaposition of what appears to be on the surface and what is or is expected to be. It is an important rhetorical and literary technique.
Sarcasm can be divided into several types, such as verbal sarcasm, dramatic sarcasm, and circumstantial sarcasm. Verbal, dramatic, and situational sarcasm are often used to emphasize truthful claims. An ironic form of simile used in sarcasm, and some forms of ritote, are deliberate words that convey the opposite of the truth, deny the opposite of the truth, or grossly and clearly disrespect the facts. May be used to emphasize the importance of a person.
Therefore, In The Interlopers, Irony is a key element for author Saki to convey the theme, and when people hold grudges, the consequences of feuds are often tragic, and the dramatic irony is that both men are shunned by the other. It's about seeing someone face it because they want to see it. Face it with no witnesses around - each person has a desire to kill the other person.
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If astronomers discovered a new planet and found its period of rotation around the sun to be 105 years, how long would its semi-major axis length be as it orbited the sun in au?.
The length of the semi-major axis of the new planet will be 22.3 AU.
As per Kepler's law of period:
The square of a planet's period of revolution around the sun in an elliptical orbit is precisely equal to the cube of its semi-major axis.
Mathematically, we can write it as:
The period of a planet's orbit (P) squared is equal to the size of the semi-major axis of the orbit (a) cubed when it is stated in astronomical units because [tex]P^2 = a^3[/tex] according to Kepler's Third Law.
For earth T=1 year
r=1 AU
let us assume that [tex]r_p[/tex] is the radius of the new planet.
For new planet; [tex]T_p[/tex] = 105 years
Using Kepler's 3rd law:,
We can write it as:
[tex]\frac{T^2}{T_p^2}=\frac{r^3}{r_p^3} \\\\\Rightarrow\left(\frac{1}{105}\right)^2=\frac{(1)^3}{\left(r_p\right)^3}=0.0000907 \\\\\Rightarrow r_p=\left(\frac{1}{0.0000907}\right)^{\frac{1}{3}}\\\\=22.257 \mathrm{AU} \\[/tex]
Approximately 22.3 Years.
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Whats the difference between solve and NSolve?
Using machine (inexact) numbers, NSolve uses mathematics to calculate a result. On the other hand, if the input only contains exact numbers and no machine numbers, solves the equation symbolically or with exact numbers first.
What makes solve and NSolve different from one another?To solve an equation or group of equations algebraically, use the function solve. Although it is sometimes preferable to have a numerical solution, it is not always possible to solve an equation algebraically. In either scenario, a group of equations or an individual equation can be solved numerically using NSolve.
Describe NSolve.Equation, "Variable = initial value," NSolve identifies numerically all possible answers to the given equation for the provided unknown variable and its initial value.
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A mass is pulled on a frictionless inclined plane
What is it's speed at the bottom of the incline?
Answer:
I mean its frictionless and its at the bottom so wouldn't it be 0.
Explanation:
Esme is planning to go on a hot air balloon ride soon. as time passes, the balloon will get higher in the atmosphere, and as the balloon gets higher, the temperature gets cooler. esme has been researching the mathematics behind her balloon ride and found these two functions: esme is wondering if there is a relationship between the time in flight and the temperature. if height depends on time, and temperature depends on height, can a relationship between time and temperature be formed?
Yes, there is a relationship between time and temperature in a hot air balloon ride, because the temperature changes as the balloon ascend or descend in the atmosphere. If height depends on time and temperature depends on the height, then it is possible to establish a relationship between time and temperature.
One way to do this would be to use the equations that describe the height and temperature as a function of time to calculate the temperature at various times during the balloon ride. For example, if the height of the balloon as a function of time is given by the equation h(t) and the temperature as a function of height is given by the equation T(h), then the temperature at a given time t can be calculated using the equation T(h(t)).
It's important to note that the specific form of the equations for height and temperature will depend on the conditions of the balloon ride, such as the rate at which the balloon ascends or descends, the atmospheric conditions, and other factors. Therefore, it will be necessary to use the appropriate equations and input values in order to accurately calculate the temperature at a given time during the balloon ride.
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