The average force exerted by the runner is 200N.
A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
When a force is exerted across a distance to an item, work is accomplished. This implies that the total energy of an object will be impacted when a force is applied to it over a distance.
Work = Force x Distance
Force = work / distance
Force = 2000 J / 10 m
Force = 200 N
Hence, the average force exerted by the runner was 200N.
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5.
A train is moving on a straight track with a speed of 70.0km/h [E]. It slows down at a rate
of 2.00m/s2 [W] in a distance of 35.0m. Determine
a.The final speed of the train. b.How much time the train took to slow down to this speed.
Answer:
t = 1.659s
Explanation:
We can use the kinematics equations to solve this questions:
v = u + at
[tex]v^{2} = u^{2} +2as[/tex]
where v = Final Velocity, u = initial velocity, a = acceleration, t = time, s = displacement
a) Given information from the question,
u = [tex]\frac{70km}{h} =\frac{(70*1000)m}{(1*3600)s} = 19.444m/s[/tex] (Convert km/h to m/s first)
a = [tex]2m/s^{2}[/tex]
s = 35m
Now we can substitute these values into the 2nd kinematics equation to find v, final velocity.
[tex]v^{2} =(19.444)^{2} +2(2)(35)\\v=\sqrt{(19.444)^{2} +2(2)(35)} \\v= 22.761m/s (5.sf)\\[/tex]
b) Now we have the final velocity, we can substitute the values into the first kinematics equation to find t , the time taken.
v = u + at
22.761 = 19.444 + 2t
2t = 22.761 - 19.444
t =[tex]\frac{22.761-19.444}{2}[/tex]
t = 1.659s
What is semiconductor device that produces electric current through the effect for which its named?
The semiconductor device that produces electric current through the effect is termed as transistor.
To find the answer, we have to know more transistor.
What is transistor?Transistors come in two different types: field-effect transistors and bipolar junction transistors. The formation of two p-n junctions in various configurations, such as n-p-n or p-n-p, results in bipolar junction transistors. The emitter, collector, and base, or middle region, are the three areas that form in a transistor.The conductivity of the field-effect transistor, which is based on the conductivity principle, can be changed by an electric field.Thus, we can conclude that, the semiconductor device that produces electric current through the effect is termed as transistor.
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A tumbleweed rolls from x equals 25.6 m to x equals -14.4 m in 7.90 seconds what was its average velocity
Answer:
5.06 m/s
Explanation:
velocity = distance / time
= ( 25.6 - - 14.4) / 7.90 = 5.06 m/s
A 1500-w heater is designed to be plugged into a 120-v outlet. part a what current will flow through the heating coil when the heater is plugged in?
Answer:
12.5 amps
Explanation:
Watt = volt * amp
1500 = 120 * I I = 12.5 amps
A 1500-w heater is designed to be plugged into a 120-v outlet. The current will flow through the heating coil when the heater is plugged in 12.5 Ampere.
To find the Current, the given values are:
Power p = 1500 W
Volt v = 120 v
What is Power?Power is the amount of work that is done per unit of time. It can be associated with the speed of a change of energy within a system, or the time it takes to perform a job.
There are different types of power,
Mechanical power: The work that performed by an individual or a machine in a certain period of time.
Electric power: The electric power can result of the multiplication of the potential difference between the ends of a load and the current flowing there.
Electric power can be written as,
P = VI
where, P - Power
V - Volt
I - Current intensity
Substituting all the values in the given formula,
1500 = 120 × I
I = 1500 / 120
= 12.5 Ampere
The current will flow through the heating coil when the heater is plugged in 12.5 Ampere.
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A spaceship travels at approximately 0. 25c with respect to earth. this means 24 hours at the spaceship will be x hours to us on earth. find the time passed ton earth
The time passed on earth is mathematically given as
t' = 24.79 hrs
What is the time passed on earth?
Generally, the equation for is time mathematically given as
[tex]t' = \gamma t[/tex]
Where
[tex]\gamma = Lorentz\ factor \\\\\gamma = 1/ \sqrt {(1 - v^2/c^2)}[/tex]
[tex]t' = t/ \sqrt {(1 - v^2/c^2)}[/tex]
Therefore
[tex]t' = 24/ \sqrt {(1 - (0.25c/c)^2) }[/tex]
[tex]t'= 24/ \sqrt {(1 - 0.25^2)[/tex]
t' = 24.79 hrs
In conclusion, the time passed on earth
t' = 24.79 hrs
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When a flashlight is operated, what is being used up: battery current, battery voltage, battery energy, battery power, or battery resistance? explain
It is the battery energy that is being depleted.
To find the answer, we need to know about the, battery energy.
What is battery energy?Charges have a significant potential energy as they exit the battery terminal. The potential energy of the charges is then lost when they pass through the flashlight bulb. By reducing its chemical potential energy, the battery uses a chemical reaction to replace the potential energy of the charges. A battery can no longer provide potential energy to charges after it is depleted.Thus, we can conclude that, It is the battery energy that is being depleted.
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For typical rubber-on-concrete friction, what is the shortest time in which a car could accelerate from 0 to 70 mph? suppose that μs=1. 00μs=1. 00 and μk=0. 80μk=0. 80
The shortest time in which a car could accelerate from 0 to 70 mph is 3.193 seconds.
To find the answer, we have to know more about the friction.
How to find the shortest time?We have the expression for final velocity as,[tex]v=u+at[/tex]
It is given in the question that,[tex]v=70mph=31.29m/s\\1mile=1609.3m,1hour=3600s\\u=0\\k_s=1\\k_k=0.8[/tex]
It is given that; the car could accelerate from 0 to 70mph. Thus, acceleration will be,[tex]a=g*k_s=9.8*1=9.8m/s^2[/tex]
Thus, the shortest time will be,[tex]t=\frac{v-u}{a} \\t=\frac{31.29}{9.8}=3.193s[/tex]
Thus, we can conclude that, the shortest time in which a car could accelerate from 0 to 70 mph is 3.193 seconds.
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A piece of purple plastic is charged with 3. 13×106 extra electrons compared to its neutral state. what is its net electric charge (including its sign) in coulombs?
A piece of purple plastic is charged with 3. 13×106 extra electrons compared to its neutral state, then the net electric charge in coulomb would be - 5.008×10⁻¹³ coulombs.
What is an electric charge?Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. You can have a positive or negative electric charge (commonly carried by protons and electrons respectively). Unlike charges attract one another while like charges repel one another. We refer to an object as neutral if it has no net charge.
The charge on one electron is -1.6 ×10⁻¹⁹ coulomb.
Then the charge on the 3.13×10⁶ extra electrons compared to its neutral state
=-1.6×10⁻¹⁹ ×(3.13×10⁶)
As given in the problem A piece of purple plastic is charged with 3.13×10⁶ extra electrons compared to its neutral state then the net electric charge in coulombs would be - 5.008×10⁻¹³ coulombs.
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Which of the following identifies the cause and effect relationship shown in the data?
A
An increase in light intensity causes an increase in electric current.
B
An increase in light intensity causes a decrease in electric current.
C
An increase in electric current causes an increase in light intensity.
D
An increase in electric current causes a decrease in light intensity.
An increase in light intensity causes an increase in electric current.
The rate of electron passage in a conductor is known as electric current. The ampere is the electric current's SI unit. Electrons are little particles that are part of a substance's molecular structure. These electrons can be held loosely or securely depending on the situation.
Electric current is measured in a SI unit known as an ampere, or A. It is determined by assuming that the elementary charge, e, has a fixed numerical value of 1.602 176 634 x 10-19 when expressed in unit C, which is equivalent to the second in terms of VCs.
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Calculate the gravitational potential energy is a bicycle of mass 20kg and its rider of mass 50kg cycle to the top of a hill 120 metres high.
Explanation:
Gravitational Potential Energy can be calculated with the following formula:
[tex]mgh[/tex]
Where m is mass, g is Gravitational Field Strength, and h is height. GFS on Earth is always 9.81, the combined mass of the cyclist and the bicycle is 70, and the height is 120. Multiplying these values together, we get:
82,404J.
steel is
almost entirely of iron atoms,
but it is denser than iron.
Suggest
reason for this.
Steel is denser than iron because it has carbon atoms entangled inside the latticework of iron atoms.
What is the difference between iron and steel?Iron is first and foremost an element, whereas steel is an alloy of iron and carbon. The amount of iron is higher in this alloy, though. Steel can be alloyed with various other metals to create materials with various qualities. For instance, stainless steel is produced when chromium is added to steel. It resists rusting quickly and is enduring. Steel is extensively used in the building sector. This is so because steel has better compression and tension properties than iron and is stronger than iron.By examining the carbon percentage, another difference can be seen. Steel is iron that includes less than two percent carbon, whereas pig iron contains more than two percent carbon. Pig iron is produced in a blast furnace by processing iron ore and coke. Steel is produced by further processing this pig iron to lower the carbon content in multiple furnaces. Steel may now be treated further to produce a variety of alloys. Elements such as silicon, manganese, and chromium are added to create alloys.Looking back in time, it is unclear exactly when the technology for manufacturing iron was developed. However, according to some archaeological discoveries, iron was reportedly utilized to make tools in Egypt about 3000 BC. A little later, about 1000 BC, the Greeks produced weapons made of hardened iron. Thus, up until 1400 AD, all other types of made iron could be grouped under the heading of wrought iron. The size of the furnaces used in smelting only rose after the fourteenth century. The upper portion of these furnaces was pushed with iron. It was turned into metallic iron and then exposed to carbon-rich vapors via a blast so that it would absorb them.Steel is denser than iron because it has carbon atoms entangled inside the latticework of iron atoms.
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Steel have carbon atoms which are interlocked within the lattice work of the iron atoms that's why steel is more denser than iron.
What are Alloy steel?
It is a type of steel in which the steel is combined with several elements such as Nickel, molybdenum, vanadium, chromium, silicon.
By adulteration in elements make them hard , tough, increase their strength, wear resistance.
These steel are used in electrical furnace . Steel is also an alloy.
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The lowest frequency of a guitar string with a length 0. 65 m is 248 hz. what is the speed of the wave on this string?
The speed of the wavelength on this string 322.4 m/s.
Given,
Half wavelength = 0.65m,
So, Wavelength = 2*.65=1.3m, frequency=248Hz
Speed=wavelength*frequency=1.3*248=322.4 m/s.
WavelengthThe wavelength, or spatial period, of a periodic wave in physics refers to the length over which the wave's structure repeats. It is the separation between neighbouring wave points that correspond to the same phase, such as two adjacent crests, troughs, or zero crossings. It is a property of both travelling waves and standing waves as well as other spatial wave patterns. The spatial frequency is the wavelength's reciprocal. The Greek letter lambda (), which represents wavelength, is frequently used. When describing modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids, the term wavelength is also occasionally used.
The lowest frequency of a guitar string with a length 0. 65 m is 248 hz. what is the speed of the wave on this string?
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If the resistance in a circuit connected to a constant current is halved, how is the voltage in the circuit affected?.
The voltage remain constant
According to Ohm's Law:
V = IR
If we halved the resistance let:
R'=R/2
then
I'=21 in order to kept the Voltage same. Also the resistance is the opposition to the current. So, if resistance will halved then obviously current will double
So when we put these value in to Ohm's Law the results is:
V'=I'R'
V'=21(R/2)
V'-IR which is equal to first voltage. Hence,
V'=V
So, the voltage remains same
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what psychology tries to find the best ways to design products for people to use
Answer:
so it could be attractive for consumers
A 2. 0 μf and a 4. 0 μf capacitor are connected in series across an 8. 0-v dc source. what is the charge on the 2. 0 μf capacitor?
voltage across 2.0μf capacitor is 5.32v
Given:
C1=2.0μf
C2=4.0μf
since two capacitors are in series there equivalent capacitance will be
[tex] \frac{1}{c} = \frac{1}{c1} + \frac{1}{c2} [/tex]
[tex]c = \frac{c1 \times c2}{c1 + c2} [/tex]
[tex] = \frac{2 \times 4}{2 + 4} [/tex]
=1.33μf
As the capacitance of a capacitor is equal to the ratio of the stored charge to the potential difference across its plates, giving: C = Q/V, thus V = Q/C as Q is constant across all series connected capacitors, therefore the individual voltage drops across each capacitor is determined by its its capacitance value.
Q=CV
given,V=8v
[tex] = 1.33 \times 10 {}^{ - 6} \times 8[/tex]
[tex] = 10.64 \times 10 {}^{ - 6} [/tex]
charge on 2.0μf capacitor is
[tex] \frac{Qeq}{2 \times 10 {}^{ - 6} } [/tex]
[tex] = \frac{10.64 \times 10 {}^{ - 6} }{2 \times 10 {}^{ - 6} } [/tex]
=5.32v
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The ________ represents the complete range of frequencies of light energy from radio waves to cosmic rays
Electromagnetic spectrum represents the complete range of frequencies of light energy from radio waves to cosmic rays.
What is electromagnetic spectrum?
Electromagnetic spectrum is nothing but the complete range of electromagnetic radiation, classified by frequency or wavelength.
What are Electromagnetic waves?When an electric field interacts with a magnetic field, electromagnetic waves are created. Therefore, they are referred to as "electromagnetic" waves.
The following are Electromagnetic waves in order:these are ranging from highest to lowest energy
gamma rays X-rays ultraviolet radiation visible light infrared radiation microwaves radio waves.Properties of Electromagnetic wave:are transverse waves that can pass through a vacuum move at the same speed—300,000,000 m/s for light—when moving through one.electromagnetic waves, like all waves:energy transfer from one location to another it can also be reflected it can be refracted.In the electromagnetic spectrum, each are different from:frequencywavelengthTo learn more about Electromagnetic spectrum visit:
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What is the relationship between acceleration and time a(t) for the model rocket (v(t)=αt3 βt γ, where α=−3. 0m/s4, β=36m/s2, and γ=1. 0m/s)?
The relationship between acceleration and time a(t) for the model rocket v(t)=αt³ + βt + γ, where α=−3. 0m/s4, β=36m/s2, and γ=1. 0m/s is a(t) = -9t² + 36 m/s²
The differentiation of velocity with respect to time gives acceleration.
Velocity of a rocket model is the speed acquired of the body in a particular direction.
Acceleration of the body is the change in velocity with respect to time.
v(t)=αt³ + βt + γ
On differentiating,
a = 3αt² + β
Given, α=−3. 0m/s⁴
β=36m/s²
γ=1. 0m/s
On subsituting,
a = 3(-3)t² + 36 m/s²
Hence, relationship between acceleration and time a(t) = -9t² + 36 m/s²
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A hydrogen atom in the n=7 state decays to the n=4 state. what is the wavelength of the photon that the hydrogen atom emits? use hc=1240 nm ev
A hydrogen atom in the n=7 state decays to the n=4 state. The wavelength of the photon that the hydrogen atom emits is 4592.59nm.
The Energy of photon is the energy possessed by a photon when it moves from a high energy level to a low energy level. It emits a photon of a certain wavelength. The following relation can be used to find out the relation between the energy levels and the energy possessed:
E = 13.6 × Z² (1/n₂² - 1/n₁²) eV
where, n₁ is the initial energy level i.e. n₁ =7
n₂ is the higher energy level i.e. n₂ = 4
E is the energy possessed
Z is the atomic number, Z = 1 for H-atom
Subsituting in above equation,
E = 13.6 (1/16 - 1/49) eV
E = 0.27 eV
We know that,
E = hc / λ
where, h is Planck constant
c is speed of light
λ is wavelength
On subsituting,
0.27 eV = 1240/ λ
⇒ λ = 4592.59 nm
Hence, the wavelength of photon emitted by Hydrogen atom is 4592.59nm.
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What is the maximum frictional force in the knee joint of a person who supports 76. 0 kg of her mass on that knee?
The maximum frictional force in the knee joint of a person who supports 76. 0 kg of her mass on that knee 119.28N.
Given,
m=76kg, μ=0.16, g=9.81 m/[tex]s^{2}[/tex]
frictional force = mμg= 76*0.16*9.81= 119.28 N
Frictional forceAn opposing force to the relative motion of two bodies in contact is known as frictional force. Always acting in the opposite direction from the direction of motion, frictional force is applied to a moving body. Because it resists motion, it aids in lowering the moving object's speed. The force is one of touch. Four broad categories can be made for the force of friction depending on the sort of motion that occurs between the two objects. Static friction is the force of friction between an object and the surface it is put on.
What is the maximum frictional force in the knee joint of a person who supports 76. 0 kg of her mass on that knee?
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19. (a) what is the average useful power output of a robot that does 5.5 j of useful work in 12.0 hours? (b) working at this rate, how long will it take the robot to lift 3500 kg of bricks 1.8 m to a loading platform?
The average useful power output of robot is 0.0001 W
The time taken by robot to lift bricks is 630000000 sec
Given:
work done by robot = 5.5 j
time taken to do the work = 12.0 hours
weight of bricks = 3500 kg
length of bricks = 1.8 m
To Find:
The average useful power output of robot is
The time taken by robot to lift bricks is
Solution: Useful power output means the electric or mechanical energy made available for use, exclusive of any such energy used in the power production process.
P = W/t
P = 5.5/12*3600
P = 0.0001 W
So, average useful power output of robot is 0.0001 W
t = W/P
W = mgh So t = mgh/P
t = 3500x10x1.8/0.0001
t = 630000000 sec
So, time taken by robot to lift bricks is 630000000 sec
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What is the maximum theoretical efficiency possible for an engine operating between 100°c and 400°c?
44.58% is the maximum theoretical efficiency possible for an engine operating between 100°c and 400°c
The ratio of useful work completed to heat produced is used to determine an engine's efficiency. is the task finished.
Please be aware that the phrase "work done" refers to the force applied to the clutch or driveshaft. This implies that the work produced by thermodynamic expansion is reduced by the friction and other losses.
Given
T1 = 100 +273 = 373K
T2 = 400 + 273 = 673 K
Formula for efficiency = (T2 -T1/T2) × 100
Put the values of T1 and T2
We get
Efficiency = (673 - 373 /673) × 100
Efficiency = 44.58%
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prove that acceleration due to gravity is independent to the mass of falling object.
Answer:
The value of acceleration due to gravity is independent of mass of the body.
Explanation:
Let us consider the mass of the object as m and mass of earth as M
Therefore, force between the object and earth would be given by: F = GMm/d²
This force is equal to the weight of the object, i.e. mg
Thus;
mg = GMm/d²
g = GM/d²
Therefore, the value of acceleration due to gravity is independent of mass of the body.
Does the response of the light bulb depend on how fast you move the bar magnet? if so, how?
Yes , the response of the light bulb depend on how fast you move the bar magnet
Flux is the presence of a force field in a specified physical medium, or the flow of energy through a surface
Lenz's law states that the induced electromotive force with different polarities induces a current whose magnetic field opposes the change in magnetic flux through the loop in order to ensure that the original flux is maintained through the loop when current flows in it.
Yes, waving a magnet around does create an electromagnetic wave which does affect the light bulb .
Due to motion of the bar, there will be a constant change in flux and due to Lenz's Law a current within the coil will be induced . This induced current can be used to power the light bulb.
As we know that the greater the speed, the greater the magnitude of the current, and the current is zero when there is no motion.
There will be change in brightness as the bar moves with faster speed.
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Twelve seconds after starting from rest a freely-falling cantaloupe has a speed of_______.
Twelve seconds after starting from rest a freely falling of cantaloupe has a speed of 114 m/s
When a body moves exclusively under the influence of the Earth's gravity, it is said to be in freefall. The motion of the ball will be accelerated as a result of an external force acting on it. This free-fall acceleration is also known as acceleration due to gravity.
The branch of physics that defines motion with respect to space and time, ignoring the cause of that motion, is known as kinematics.
from kinematic equation of motion`
v = u+ at
=u + gt (The acceleration for a free-falling object is g)
since, starting from rest
initial velocity = u = 0
time = 12 seconds
g= 9.81 m/ [tex]s^{2}[/tex]
v = u + gt
= 0 + 9.8 * 12
= 117.6 m/s
≈ 118 m/s
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A telescope mirror is part of a sphere with a radius of 3 m. what is the focal length of the mirror?
The focal length of the mirror will be 0.33 m
Focus is defined as the point through which the reflected light rays pass (or appear to pass) when incident light rays are parallel to the principal axis. It is located at the midpoint of pole and center of curvature. The distance between the pole and the focus of the mirror is called the focal length of the mirror.
F =2R or focal length of a mirror is half of its radius of curvature.
The radius of curvature of convex or concave mirror is equal to two times of the focal length of convex or concave mirror. The radius of curvature is the radius of sphere formed by the convex or concave mirror. It is also equal to the distance between the pole and center of curvature.
F = 1/R
R = 3 m (given )
F = 1 / 3 = 0.33 m
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How much brighter is a sun-like star than the reflected light from a planet orbiting around it?.
It is about a billion times brighter.
What is the brightness of a star called?A star's apparent magnitude, or how bright it seems to be from Earth, and absolute magnitude, or how brilliant it looks at a standard distance of 32.6 light-years, or 10 parsecs, are words used by astronomers to describe stellar brightness. How bright are planets compared to stars?Although planets and stars light up the night sky, planets usually appear much brighter than most stars. Astronomers use astronomical scales to measure the relative brightness of celestial bodies, and many planets fall within the range easily visible to the eye.To learn more about planets from the given link
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Select all the correct answers. a leaf falls through the air, floating as it falls. air resistance is visibly affecting the leaf. which two properties of the leaf are allowing it to be affected by air resistance? acceleration due to gravity initial distance from the ground mass surface area
Surface area and Mass
When a leaf falls, it is being accelerated by gravity to the ground but opposed by air resistance also the drag. The net force on a leaf will therefore be calculated by subtracting its weight of the leaf from its drag.
What is Air resistance ?Air exerts a force known as air resistance. When an object is travelling through the air, the force works in the opposite direction.
While a sports vehicle with a streamlined design will encounter reduced air resistance and experience less drag, the automobile will be able to move more quickly than a truck with a flat front.The speed, area, and shape of the object passing through the air all affect air resistance. Air density and resistance are affected by altitude, temperature, and humidity. The resistance increases with speed and area, respectively.Learn more about Air resistance here:
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Stellar occultations are the most accurate way to measure the _________ of a solar system object
Answer:
del mundo
Explanation:
Plasma is often called the fourth state of matter. What are the four states?
A
earth, air, fire and water
B
molecular, ionized, plasma and liquid
C
frozen, melted, nuclear and plasma
D
solid, liquid, gas and plasma
Plasma is often called the fourth state of matter. The four states are solid, liquid, gas, and plasma
The term "fourth state of matter" refers to plasma, which it shares with solid, liquid, and gas. Heating a gas will result in the formation of plasma, which is a soup of positively and negatively charged particles (ions), similar to how adding energy causes a liquid to boil and transform into a gas (electrons).
The fourth state of matter after solid, liquid, and gas is referred to as plasma. An ionized substance enters this state of matter when it becomes extremely electrically conductive to the point where long-range electric and magnetic forces control its behavior. Water makes up around 92 percent of the plasma. Additionally, it has 7% of essential proteins like albumin, gamma globulin, and anti-hemophilic factor, and 1% of mineral salts, carbohydrates, lipids, hormones, and vitamins.
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A tortoise can move with a speed of 10.0cm/s, while a rabbit can move 10 times faster. In a race, both of them started at the same time, but the rabbit stopped to rest for three minutes. The tortoise wins by a distance of 10cm from the rabbit. How long is the race?
A. 125.2s
B. 159.8s
C. 199.9s
D. 205.7s
Answer:
C. 199.9 s
Explanation:
3 minutes = 3×60 = 180 seconds.
the turtle moves in that time 180×10 = 1800 cm.
in other words the rabbit gave it that much head-start (it does not matter if that was at the begin of in the middle of the race).
the rabbit moves with 10×10cm/s = 100cm/s.
the rabbit needs therefore 1800/100 = 18 seconds for the
1800 cm.
at that time the turtle has added another 18×10 = 180 cm.
for which the rabbit needs 180/100 = 1.8 seconds.
during that time the turtle has added 1.8×10 = 18 cm.
and so on.
in formal mathematics this looks like this :
1800 + 10x = 100x
after x seconds of the rabbit running both will have run the same distance, and it is a tie.
1800 = 90x
x = 20 seconds
so, at that point, the rabbit was actively running for 20 seconds and raced 20×100 = 2000 cm
and the turtle was actively running for 180 + 20 = 200 seconds, and also covered 200×10 = 2000 cm.
but our question tells us that the turtle won by 10 cm.
so, the race was over a little bit before these 200 seconds (for a tie).
this means, the rabbit could not run the last 10 cm for the tie (because the race was over and the turtle had won).
the rabbit would have needed 10/100 seconds for these 10 cm.
as speed = distance/time
we need to divide distance by speed
distance/1 / distance/time
to get time.
so,
10cm/1 / 100cm/s = 10s/100 = 1/10 s
so, we need to deduct this 1/10 s from the 200 seconds of the turtle (and also from the 20 seconds for the rabbit).
the race lasted of course the whole time the turtle was running (while the rabbit was resting, officially still participating in the race with speed 0 for 3 minutes).
and so, the race was 199.9 s long.