The belt of constellations through which all the planets move is called the Zodiac. The zodiac belt runs along the plane of the ecliptic.
The Zodiac is the belt of constellations that all the planets pass through. The sun and moon are also always within this belt. The ecliptic occurs when they appear to move ordinarily along on the particular path through the sky. On the path of the ecliptic, those are 13 astronomical constellations:
CapricornusAquariusPiscesAriesTaurusGemini CancerLeo VirgoLibraScorpiusSagittariusOphiuchus.In the fifth century B.C., astronomers identified the 12 astronomical constellations as zodiac signs without Ophiuchus. Ophiuchus did not fit into the ancient calendar of 12 lunar months. As a result, the astronomers omitted Ophiuchus for practical reasons.
Astronomy studies the constellations of the zodiac. So, the constellations of the zodiac are not astrology, which is concerned with personal characteristics (zodiac signs differ with zodiac constellations). In the past, they assisted in the creation of calendars and served to track the time period and the seasons for ancient people. They are still applied today for scientific observations and maritime navigation. For example, they serve as excellent reference points for amateur astronomers when trying to find planets.
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assuming a constant dew point temperature, how do temperature and relative humidity typically vary over a 24-hour period?
Changes in relative humidity are more common than changes in dew point. Assuming dew point to be relatively constant over a 24-hour period, relative humidity values change regularly throughout the day as temperatures rise and fall.
When the temperature and dew point are close, the relative humidity is higher than when the temperature and dew point are far apart. At the same temperature and dew point, the air is "saturated" and the relative humidity is 100%.
Clouds form when the temperature drops below the dew point. On the ground, temperatures often drop below the dew point, such as during heavy rains or foggy mornings.
The "relative humidity" of air describes the relationship between temperature and dew point.
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an object has a relativistic momentum that is 8.50 times greater than its classical momentum. what is its speed?
An object has a relativistic momentum that is 8.50 times greater than its classical momentum, then its speed is 8.5 × 10^8 m/s.
The relationship between an object's mass and velocity is known as its momentum. De Broglie wavelengths and kinetic energy can be derived from it. The classical momentum formula, p = mv, is no longer valid for objects moving at speeds close to the speed of light. Instead, in the case of relativity, p0 = mv where γ = 1/√1−(v/c)^2 is the Lorentz factor, The object's mass is m, and its speed is v.
p0 = mv/√1−(v/c)^2
We can define as: given that an object's relativistic momentum is 8.5 times larger than its classical momentum
p0 = 8.5p
p0 = mv/√1−(v/c)^2 = p/√1−(v/c)^2
8.5p = p/√1−(v/c)^2
1−(v/c)^2 = (1/8.5)^2
0.993 = v/3x10^8 = 8.5x10^8m/s
Hence the object's speed is 8.5 × 10^8 m/s.
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a light ray strikes one face of the zirconia crystal at an angle of incidence of 18. once inside, what is the ray's angle with respect to the face of the crystal?
The ray's angle in relation to the crystal's face is 71.6°. We used the illustration of light moving through water toward the boundary with a less dense medium, like air, to explain TIR.
The refracted ray lies along the border with a 90° angle of refraction when the angle of incidence in water reaches a specific critical value.
Due to that,
Angle of incidence = 27°
We must determine the refraction angle.
Snell's law is used.
Fill out the formula with the value
Using the refraction formula, we must determine the angle of the ray with regard to the crystal's face. Fill out the formula with the value
Hence, the angle of the ray with regard to the crystal's face is 71.6°.
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suppose you looked up in the sky from the southern hemisphere and observed the moon illuminated as it appears above. at which lettered position in its orbit is the moon located at this moment?
The moon is currently placed in the Waning Gibbous position in its orbit, as seen when we gazed up at the sky in the southern hemisphere and saw the moon illuminated as it appears.
In the Southern Hemisphere, unlike the Northern Hemisphere, the moon light increases in coverage from left to right in the waxing phase and the dark portion increases in coverage from left to right in the waning phase. One half of the moon is illuminated by the sun while the other is under shade. Anyone can see that the moon has a brilliant side facing the Sun and a dark side facing away from it. These lit and dark areas of the surface change in proportion as the moon orbits the Earth.
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a coal-fired generating station with a thermodynamic efficiency of 35% produces an average output of 600 mwe. assume that coal is pure carbon and that cao is used to sequester all of the co2 that is produced. what is the mass of cao (in kg) required each year?
The mass of CAO required each year to sequester the CO2 produced by the coal-fired generating station is 1232 kg.
To determine the mass of CAO required each year to sequester the CO2 produced by a coal-fired generating station, we need to know the amount of CO2 produced by the station and the mass of CAO needed to sequester a given amount of CO2.
The amount of CO2 produced by the station can be calculated using the equation:
CO2_produced = (1 / efficiency) × energy_output
where CO2_produced is the amount of CO2 produced, efficiency is the thermodynamic efficiency of the generating station (35% in this case), and energy_output is the average output of the station (600 MWe in this case).
Plugging these values into the equation gives us:
CO2_produced = (1 / 0.35) × 600 MWe = 1714 MWe
To convert the energy output from megawatt-hours (MWh) to kilograms of CO2, we can use the conversion factor of 0.00053 kg CO2/MWh:
CO2_produced = 1714 MWe × 0.00053 kg CO2/MWh = 916 kg CO2
To determine the mass of CAO required to sequester this amount of CO2, we need to know the mass of CAO needed to sequester a given amount of CO2. The mass of CAO needed to sequester a given amount of CO2 can be calculated using the equation:
CAO_mass = CO2_mass / (CAO_molecular_weight / CO2_molecular_weight)
where CAO_mass is the mass of CAO needed to sequester the CO2, CO2_mass is the mass of CO2 to be sequestered, CAO_molecular_weight is the molecular weight of CAO, and CO2_molecular_weight is the molecular weight of CO2.
The molecular weights of CAO and CO2 are 56 g/mol and 44 g/mol, respectively. Plugging these values into the equation gives us:
CAO_mass = CO2_mass / (CAO_molecular_weight / CO2_molecular_weight) = 916 kg CO2 / (56 g/mol / 44 g/mol) = 1232 kg CAO
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suppose we sort an array using insertion sort. for an array of size 100,000, it takes 2 seconds. approximately how many seconds will it take for an array of size 800,000?
It takes 128 seconds for sorting an array using insertion sort having size 800000.
The straightforward sorting algorithm known as insertion sort produces the final sorted array one item at a time through comparisons. In comparison to more sophisticated algorithms like quicksort, heapsort, or merge sort, it performs significantly worse on huge lists.
The worst-case (and average-case) complexity of the insertion sort method is O ([tex]n^2[/tex]).
To put it another way, in the worst situation, the time needed to sort a list is inversely proportional to the square of the number of entries in the list.
The best-case time complexity of the insertion sort algorithm is O(n).
Therefore, we may argue that by considering the worst-case scenario for the problem.
We have, [tex]O(100000)^2[/tex] = 2 Sec
So for the array of size 800,000, it will take
[tex]= 8^2 \times O(100,000) = 8^2 \times 2[/tex]
=64*2 = 128 seconds
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what is the voltage drop across a 5.0-ω resistor if the current through it is 5.0 a?
Answer:
voltage = 25V
Explanation:
In Ohm's law R = V/I then 5ohm = V/5A => V = 5 * 5 = 25V
rank the objects from least to greatest mass, according to the stars that produce each. a. neutron star b. black hole c. white dwarf group of answer choices
Rank the objects from least to greatest mass, according to the stars that produce each:
White DwarfNeutron StarBlack holeA property of a body that is a measure of inertia is usually viewed as a measure of the amount of matter contained in the body that causes it to have weight in a gravitational field. Mass is a dimensionless quantity that describes the amount of matter in a particle or object.
The mass of an object is a measure of its inertial properties or the amount of matter it contains. The weight of an object is a measure of the force exerted on it by gravity, or the force required to support it. Mass can best be understood as the amount of matter present in an object or body. Everything around us has mass.
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a 3.2-kg bucket of water is raised from a well by a rope. if the upward acceleration of the bucket is 2.5 m/s2, find the force exerted by the rope on the bucket.
The rope's force is equal to 64.N. The word "force" has a specific meaning in science. At this level, calling a force a push or a pull is entirely appropriate.
A force is not something an object "has in it" or that it "contains." One thing experiences a force from another. There are both living things and non-living objects in the concept of a force. As we discovered in a previous session, forces are significant because they induce modifications to motion. In his first law, Isaac Newton really mentions this. According to this law of inertia, an object stays in its condition of rest or motion unless it is affected by an external, unbalanced force.
resolution with a vertical component
↑ \s⏐ \s⏐ \s+
Let de = T N be the rope's tension.
Then,
T \s− \sm \sg \s= \sm \sa
T \s= \sm \sa \s+ \sm \sg \s= \sm \s( \sa \s+ \sg \s)
= \s5 \s( \s3 \s+ \s9.8 \s)
= \s64 \sN
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assume that all of the potential energy went into kinetic right as it is about to hit the bottom. what would be the value for the kinetic energy?
The potential energy of an object diminishes while its kinetic energy rises. The increase in kinetic energy perfectly offsets the reduction in potential energy. The idea of work is another crucial one.
Before it touches the ground, where can you obtain kinetic energy?The mass of the object and the square of its velocity are directly related to its kinetic energy: K.E. = 1/2 m v2. When a mass is measured in kilograms and a speed is measured in meters per second, the kinetic energy is measured in kilogram-meters squared per second squared.
When a body is moving downward, what will happen to its kinetic and potential energy?due to the rule of conservation of energy, which states that total energy is always constant. Kinetic energy will therefore rise, whereas potential energy will fall.
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you are designing a spacecraft (no people) to send to venus. what kind of spacecraft would it be and what would it be trying to learn about venus?
This will be an autonomous, unmanned spacecraft. That will feature a strong heat protection and landing gear that can resist the venusian surface's tremendous pressure and extreme heat.
What makes the planet Venus unique?Venus is distinctive because it spins counterclockwise to Earth and the majority of planets, in adding to being incredibly hot. Additionally, due to its extremely slow rotation, its day is larger than its year.
Why is Venus so hot?Venus not the planet that is closest to our sun, but its thick atmosphere retain heat in an extreme instance of the warming of the planet that we can observe here on Earth due to global warming. As a result, Venus reaches 880 degrees Fahrenheit.
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two objects are thrown from the top of a tall building. one is thrown up, and the other is thrown down, both with the same initial speed. what are their speeds when they hit the street? neglect air resistance.
The speed when they hit the street will be equal to each other.
A force applied to all bodies on Earth is Weight ( W ), which is caused by Earth's gravity. If a body is free falling, its only acceleration is g , gravity. So gravity increases velocity.
Both objects will show a change in their velocities because of gravity.
The velocity for both objects if one is thrown up and other is thrown down is same which is given by this formula:
= V = - √ (v² + 2gh)
Where,
Final velocity = V
Initial velocity = v
Acceleration due to gravity = g
Distance = h
Now, assuming the upward speed is measured as positive, the speed when the two objects hit the street will be equal to each other.
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White light separates into all the colors of the visible spectrum when it is passed through a?
White light separates into all the colors of the visible spectrum when it is passed through a prism.
A prism is an optical device made from transparent material, typically glass, that refracts light and separates it into its constituent wavelengths. This separation of light into its component colors is called dispersion. White light is composed of all the colors of the visible spectrum and when it is passed through a prism, the prism refracts the light and splits it into its individual colors.
When white light passes through a prism, the light is bent, or refracted, at different angles depending on its wavelength. The different wavelengths of light correspond to different colors in the visible spectrum, so when the white light is refracted, it separates into various colors.
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what maximum power can be radiated by a 15 cm -diameter solid lead sphere? assume an emissivity of 1.
This object's surface has an emissivity of 0.809.
Due to that,
15.0 cm in diameter
Climate = 112 °C
71.3 W Power
We must determine the area.
Using the area formula
Fill out the formula with the value
We must determine this object's surface's emissivity.
Using the emissivity formula
when area is A
Temperature is T.
Boltzmann constant of Stefan
power P
Fill out the formula with the value
As a result, this object's surface has an emissivity of 0.809.
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This Is The Light Intensity On A Viewing Screen Behind A Slit Of Width A. The Light's Wavelength Is λ. is λa, or is it not possible to tell?
a solid ball of inertia m rolls without slipping down a ramp that makes an angle θ with the horizontal. What frictional force is exerted on the ball? As a function of theta, what coefficient of friction is required to prevent slipping?
The frictional force on the ball is equal to 5/7 mg sin, and the necessary coefficient of friction to keep it from slipping is equal to 5/7 tan. For a solid ball of inertia m to roll down an angled ramp without slipping.
The frictional force only ever produces a negative amount of work. This is because the opposing force of friction.
ma = m g sin - f. [translation]
f r [rotation] = I a / r
In that case, f = m g sin / (1 + m r2 / I).
I = 2/5 m r2 implies that f = 5/7 m g sin must be f = m g cos, where 5/7 m g sin = m g cos.
μ > = 5/7 tanθ
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Construct and present arguments using evidence to support the claim that gravitational interactions are attractive and depend on the masses of interacting objects.
Response:
The evidence is clear: gravitational interactions are attractive and depend on the masses of the objects involved. This can be seen in the way that objects with mass are attracted to each other and in the way that planets orbit around the sun.
First, consider the fact that objects with mass are attracted to each other. This is the fundamental concept of gravity, and it is what causes objects to fall to the ground when dropped. If two objects with mass are placed near each other, they will experience a gravitational force of attraction that pulls them together. This force is proportional to the masses of the two objects - the more massive an object is, the stronger the gravitational force it will experience.
This dependency of gravitational force on mass is also evident in the orbits of planets around the sun. The sun is much more massive than any of the planets, and this causes the planets to experience a strong gravitational force of attraction that keeps them in orbit around the sun. The strength of this force depends on the masses of the sun and the planets - the more massive the planet, the stronger the gravitational force it experiences and the more tightly it is held in its orbit.
These examples demonstrate that gravitational interactions are attractive and depend on the masses of the objects involved. This is a fundamental property of gravity, and it is supported in many studies.
a proton at rest travels through potential of 1000 v then goes to uniform 0.04 t magnrtic field. what is the radius of protons resulting orbit
The radius of protons resulting orbit is 8.43 mm.
What is radius?
The reason the bone is called the radius is because it behaves like the radius (of a circle). It revolves around the ulna, and the distance from the ulna (the circle's center) to the edge of the radius, which is known as the styloid process of the radius, is where it connects to the hand's bones (the circle).
What is protons ?
Protons include the H+ ion or the hydrogen atom's nucleus. Regardless of the isotope, each hydrogen atom has one proton, each helium atom has two, each lithium atom has three, and so on.
Potential difference, V=100V
Magnetic field ,B=0.004T
Force, F=qV= 2mv 2 (K.E.)
⇒V= [tex]\sqrt{2qv/m}[/tex]
for radius of path, mv²/ R = qvB
R = mv/ qB = m/qB* [tex]\sqrt{2qv/m}[/tex]
R= 1/ 0.004 * [tex]\sqrt{9.1 * 10-31 * 2* 100 / 1.6*10-19}[/tex]
= 843.17 * 10⁻⁵m
= 8.43 mm
Hence, the radius of protons resulting orbit is 8.43 mm.
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During laboratory investigation, students determined a large block of iron to have a density of 7.75 g/mL. If the block were to be cut in half, what would be the density of the smaller block?a. 7.75 g/mLb. 15.5 g/mLc. 3.88 g/mLd. 5.58 g/mL
If the density of the whole block is 7.75 g/mL, then the density of half of it is also 7.75 g/mL. (a)
The density of any substance is the same ... mass/volume ... no matter how big or small the sample is.
If the substance is pure, then its density is always the same. It doesn't matter whether your sample is a tiny drop in the middle of your finger-nail or a super-tanker full of it.
a system that emits sound waves underwater and analyzes the echoes reflected from submerged objects is called ? .
Sonar is a technology that uses sound waves to detect items beneath the water and then analyzes the echoes that they reflect.
To "see" in the water, sonar uses sound waves. Sonar is largely used by NOAA scientists to create nautical charts, find underwater navigational hazards, find and map things on the bottom like shipwrecks, and map the actual seafloor. Sonar comes in active and passive varieties. Sonar, which stands for "sound navigation ranging," is a method for using acoustics to find and measure the location and distance of underwater objects. The active detection, localization, identification, and avoidance or capture of targets through the use of echoes of transmitted sounds is known as echolocation. The tools that produce and receive sound are also referred to as sonar. The examination of subaquatic sound is known as underwater acoustics.
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four railroad cars, each of mass 2.50 3 104 kg, are coupled together and coasting along horizontal tracks at speed vi toward the south. a very strong but fool- ish movie actor, riding on the second car, uncouples the front car and gives it a big push, increasing its speed to 4.00 m/s southward. the remaining three cars continue moving south, now at 2.00 m/s. (a) find the initial speed of the four cars. (b) by how much did the potential energy within the body of the actor change? (c) state the relationship between the process described here and the process in problem 25.
The final three vehicles continue to travel south at a speed of 2.00 m/s. The four automobiles' initial speed is u=2.5 m/s.
What does a scientific energy mean?The definition of energy is the "capacity to accomplish work, which is the ability to apply a force producing the displacement of an item." Despite this unclear description, energy simply refers to the power that propels motion. Potential and kinetic energy are the two categories.
How is energy produced?The majority of electricity is produced by steam turbines using fossil fuels, nuclear energy, biomass, geothermal, & solar thermal energy. Steam turbines, hydro generators, wind turbines, & solar photovoltaics are some further prominent electricity generation systems.
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researchers are studying europa, one of the moons of jupiter. they are using a technique similar to sonar used by bats. sound waves directed at the surface would
Mechanical waves can be classified as either transverse or longitudinal waves depending on the sort of motion they undergo. It should be noted that longitudinal and transverse waves can both be periodic.
The disruption of a transverse wave propagates perpendicular to the direction of propagation. Similar to sound waves, ocean waves also transport energy from one location to another. Through a medium, such as water or air, this energy moves. Additionally, this energy travels in a transverse wave, which is a repeating up-and-down motion. Echolocation is the process of using sound waves and their echoes to locate things in space. In the dark, bats use echolocation to navigate and locate food.
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explain how the difference between the observed lapse rate and the adiabatic lapse rate causes air parcels to move toward or away from their original location
The observed lapse rate refers to the decrease in temperature with increasing tropospheric altitude. This is the temperature of the environment at different altitudes. It does not imply air movement. Adiabatic cooling relates only to rising air cooling by expansion.
The ambient Leakage Rate is the rate at which the air temperature increases. Our surroundings change as we rise into the atmosphere. Dry adiabaticity is when an unsaturated air mass expands and cools as it rises through the atmosphere or heats and compresses as it descends.
So the rising air cools slowly as it rises. The wet adiabatic decay rate is generally less negative than the dry adiabatic decay rate. If the environmental decay rate is greater than the dry adiabatic decay rate, the atmosphere is said to be absolutely unstable. This means that the rising air mass will always cool more slowly than its surroundings even if it is not saturated.
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A child sitting on the outer edge of a merry - go - round and a child sitting halfway between the outer edge and the center have the same angular velocity .
Answer: This is hard! I don't know for sure what is the answer but I think the answer is because the merry go round is moving at a certain speed???
Explanation: I don't know
Angelina jumps off a stool. as she is falling, the earth’s gravitational force on her is larger in magnitude than the gravitational force she is exerting on the earth.a. Trueb. False
Answer:
False
Explanation:
By Newtons 3rd law, “To every action, there is an equal and opposite reaction", the answer is false because there is an equal weight and force upwards and downwards.
False.
Check Newton's 3rd law of motion: For every action, there is an EQUAL opposite reaction.
Check the formula for the strength of the grvitational force between two objects. The formula doesn't say anything about which object is m1 and which object is m2. The gravitational force is the same in both directions.
Angelina's weight on the Earth is the SAME as the Earth's weight on Angelina.
Also, the weight of a mosquito on Earth is the same as the Earth's weight on the mosquito.
a gold ingot weighs 5.50 lbs. if the density of gold is 19.31 g/cm3, and the length and width of the ingot are 12.0 cm and 3.00 cm respectively, what is the height of the ingot? (1 lb
Given that a gold ingot has a mass of 5.50 lbs, a density of 19.31 g/cm3, and dimensions of 12.0 cm in length and 3.00 cm in width, the ingot's height is 3.59 cm.
Given that The density of the gold ingot (d) = 19.31 g/cm3
Mass of gold ingot (m) = 5.50 lbs
Converting lbs to g we have 1 lb = 453.592 g then
5.5lbs = 5.5 x 453.592 = 2494.756 g
Length of gold ingot (l) = 12cm
Width of gold ingot (w) = 3cm
Let height of gold ingot be hcm
Volume of gold ingot (v) = length x width x height
Generally, Density (d) = Mass(m)/Volume(v)
19.31 = 2494.756/12x3xh
h = 2494.756/12x3x19.31 = 3.59cm
Hence the height of gold ingot is 3.59cm
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A thin 2.00kg box rests on a a 6.50kg board that hangs over the end of a table, as shown in the figure. How far can the center of the box from the end of the table before the board begins to tilt?
answer: x=________m
0.163 m far can the centre of the box from the end of the table before the board begins to tilt
The unique location where the weighted relative position of the scattered mass adds to zero is known as the centre of mass in physics. Here is where a force may be applied to produce a linear acceleration without also producing an angular acceleration.
It represents the system's average location as weighted by each component's mass. The centre of mass for straightforward stiff objects with homogeneous density is found at the centroid.
The position of the centre of mass of the system will be [tex]x^1 & =\frac{30 \mathrm{~cm}+20 \mathrm{~cm}}{2}[/tex] =25 cm
The below-attached figure shows the position of the centre of mass of the system.
The value of the net torque about point P will be
m g x-M g(25 cm-20 cm) =0
m g x-M g(5 cm) =0
m g x =M g(5 cm)
x =(5 cm/m)
[tex]$$\begin{aligned}& =\frac{(6.50)(5 \mathrm{~cm})}{2.00} =16.3 \mathrm{~cm}\left(\frac{10^{-2} \mathrm{~m}}{1 \mathrm{~cm}}\right) \\\end{aligned}$$[/tex] =0.163 m
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the left cart is heavier and it crashes into the lighter right cart that is initially at rest. what do you expect to happen?
when heavier left cart crashes with lighter right cart which is initially at rest, the lighter right cart gain acceleration and start moving.
This concept is based on conservation of momentum, Conservation of momentum is a major law of physics which states that the momentum of a system is constant if no external forces are acting on the system.
when heavier left cart crashes into the lighter right cart that is initially at rest, the right lighter cart will gain acceleration and start moving in the direction of motion of heavier cart and left heavier cart will remain in motion in the same direction.
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find the slope of the tangent line to the curve 1 + y = sin(xy2) at the point (π, −1).
0.1894 is slope of tangent to the curve 1+y=sin(x[tex]y^2[/tex]) at point( π,-1)
what is slope of tangent?The instantaneous rate of change of the specified function at a point is represented by the tangent. The derivative of the function at a given position is equal to the slope of the tangent at that location.
The slope of the tangent at a curve is given by:
slope = [tex]\frac{dy}{dx}[/tex]
let the slope be m
The given curve is:
1+y=sin(x[tex]y^2[/tex])
differentiating both side of the equation with respect to x we get:
[tex]\frac{dy}{dx}[/tex] = cos([tex]xy^2[/tex]) * [tex]\frac{d(xy^2)}{dx}[/tex]
=> [tex]\frac{dy}{dx}[/tex] = cos([tex]xy^2[/tex]) * ( [tex]y^2 + 2x \frac{dy}{dx}[/tex])
putting the value of x and y in the above equation we get
[tex]\frac{dy}{dx}[/tex] = cos([tex]-[/tex]π) * [tex]1+2\frac{dy}{dx}[/tex] π
=> [tex]\frac{dy}{dx}[/tex] = [tex]1+2\frac{dy}{dx}[/tex] π
=> [tex]\frac{dy}{dx}[/tex] = -1/(1-2π)
=> [tex]\frac{dy}{dx}[/tex] = 0.1894
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a car that is initially moving at 7.50 m/s begins to accelerate forward uniformly at 0.550 m/s2 . a. how long after beginning to accelerate does it take the car to move 3.50 km? b. how fast is the car moving just as it has traveled 3.50 km
The car, which needs time after beginning to accelerate to move 3.5km, will take 100 seconds.
The car will move as it has traveled 3.50 km at 62.5 m/s.
Question A
Vi = car initial velocity
a = increase in velocity of the car per second
s = distance travelled by the accelerating car in time t
VF = velocity of the accelerating car at time t
Since acceleration is constant (accelerate forward uniformly from question), we will use kinematic equations.
Velocity Final = Vi + acceleration * time
s = Vi * t + 1/2 * acceleration * time²
Velocity Final² = Vi² + 2 * acceleration * distance (s)
Given from question
Vi = 7.5 m/s
a = 0.55 m/s²
s = 3.5km
t = ?
S = Vi * t + 1/2 * acceleration * time²
3500m = 7.5m/s * t + 1/2 * 0.55 * t²
0.55t² + 15t - 7000 = 0
We will use roots of a quadratic equation to find t
ax² + bx + c = 0
x = (-b ± (√b² - 4*ac)) / 2a
t = (-15 ± (√15² + 4 * 0.55 * 7000)) / 2 * 0.55
t = -15 ± 125 / 1.1
t = -140 / 1.1 ║t = 110 / 1.1
t = -127.27 ; 100
So, the equation of 0.55t² + 15t - 7000 = 0 is satisfied with two values of t = -127.27 & 100
Since, we are talking about time, we will eliminate minus value and we will use the positive value.
Therefore, the time needs to accelerate to move the car by 3.5km after the beginning is 100 seconds.
Question B
Given from question
S = 3.5km = 3500m
Velocity Final = ?
Velocity Final² = Vi² + 2*acceleration*distance (s)
Velocity Final² = 7.5² + 2 * 0.55 * 3500
Velocity Final² = 3,906.25
Velocity Final = 62.5m/s
Since we already found the accelerating car travelled 3500m in 100s. we could also use the other formula :
Velocity Final = Vi + acceleration * time
= 7.5 + (0.55*100)
= 62.5 m/s
Therefore, the car is moving 62.5m/s after traveled 3.50km.
Learn more about kinematic equation https://brainly.com/question/28712225
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