The recoil velocity in the horizontal direction of the plunger is 13.27 m/s
What is recoil in physics?Recoil is the backward force or momentum produced by an object such as a gun while discharging at a very high rate of velocity.
This can be understood by the famous Newton’s third law of motion in physics.
What are Newton's laws of motion?The three fundamental laws of classical mechanics known as Newton's laws of motion describe how an object's motion and the forces acting on it interact.
Newton's first law states that unless a net external force acts on an object, it will either remain at rest or continue moving at a constant speed.
According to the second law, an object's force is determined by multiplying its mass by its acceleration.
The third law of motion by Newton states that equal but diametrically opposed forces always act in pairs. There is an equal but opposite reaction to every action, to put it another way.
Given Data:mass of bullet, m1=0.0205kg
velocity of bullet before firing, u1=0 m/s
velocity of bullet after firing, v1=615 m/s
mass of plunger,m2=0.95kg
velocity of gun before firing,u2=0 m/s
Let velocity of gun after firing be, v2
From law of conservation of momentum,
m1u1+ m2u2= m1v1+ m2v2
m1×0+ m2×0=0.0205×615 + 0.95×v2
⟹0=12.60+0.95v2
⟹ v2=−13.27 m/s
This means gun moves in opposite direction to bullet, which is called recoil.
Thus, recoil velocity of plunger is equal to
13.27 m/s
Here, the negative(- ve) sign shows that plunger moves in the opposite direction of bullet.
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A bullet penetrates through a wooden block and it’s velocity is doubled. What is the ratio between the bullet’s initial kinetic energy and final kinetic energy?
What are quotas simple definition?.
A quota is a trade restriction imposed by the government that limits the quantity of goods or the amount of money that a country may spend on them at one time for import or export.
Nations utilize quotas in international trade to regulate the volume of trade that takes place between them and other countries. A quota is a limit on the quantity of something or someone that is permitted or necessary.An import quota is a sort of trade restriction when a government places a cap on the quantity or price of a commodity that another country is allowed to bring into the country. A government may impose a quota, for instance, preventing a neighboring country from importing more than 10 tons of grain. A quota is the set limit on how much of something is legally permitted. Four tickets per person were no longer allowed; only two were now allowed.Thus this is the meaning of quota.
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12. Making Connections to Lightbulbs: Work is the transfer of energy. Power is the rate at which work is
done or the rate at which energy is expended. A 60W light bulb expends 60 J of energy per second. If
your power output could be harnessed and converted into electricity, could you produce enough power
to light a 60W bulb? How many?
A 60W light bulb expends 60 J of energy per second. If your power output could be harnessed and converted into electricity, we can produce enough power to light a 60 W bulb only one.
What is energy?Energy is the ability or capability to do tasks, such as the ability to move an item (of a certain mass) by exerting force. Energy can exist in many different forms, including electrical, mechanical, chemical, thermal, or nuclear, and it can change its form.
Power is energy per unit time so amount of time is 1 sec for light bulb glow for with 60 W power expand 60 joule of energy.
A 60 W light bulb expends 60 J of energy per second. If your power output could be harnessed and converted into electricity, we can produce enough power to light a 60 W bulb only one.
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In the following switching circuit, a battery and an ultra-capacitor is connected in series to provide power to the load. A dc/dc converter is used to maintain the voltage cross the ultra-capacitor. For all the following questions, assume the circuit operates at continuous mode. 1) Derive the relationship between the load voltage, Vload, and the input voltage, Vin, as a function of the duty ratio of S1 (4 points) 2) If Vin has a constant value of 20 V and V Load needs to be controllable in the range of 30 to 40 V, what is the duty ratio range of Si. (1 points) 3) Assume R and Vin are constant, derive (2 points) a) the voltage stresses of S1, D, and the ultra-capacitor as functions of Vload, b) equation for average value of iin as a function of Vload; c) equation for average value of isi as a function of Vload, d) equation for average value of it as a function of Vload. 4) Comparing the circuit with a traditional boost converter, assume R and Vin are constant, write down a) the voltage stresses of S1, D, and the ultra-capacitor (the output capacitor in the cuit) as functions of Vload, b) equation for average value of iin as a function of Vload; c) equation for average value of isi as a function of Vload; d) equation for average value of it as a function of Vload. 5) Based on a), b), c), and d) from 3) and 4), what are the advantages of the "new" circuit you had analyzed? (1 points)
1) relationship between the load voltage Vlode=Vin/1-D
2)the duty ratio range of Si is 1/3<D<1/2
3)IL=VLoad/R Vin
When a power supply transitions from a no load to a fully loaded position, the voltage drops, which is known as load voltage regulation. Practically speaking, it is frequently assessed when moving from a typical steady state load to a maximum load situation, attained under typical operating conditions. The voltage between any two lines in a three-phase circuit is known as line voltage. The voltage across a single element of a three-phase source or load is known as the phase voltage. Line current is the flow of current along a single line connecting a three-phase source to a load. A graph with every conceivable combination of output current (Ic) and voltage (VCE) for a particular amplifier is known as a DC (Direct Current) load line.
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Which statements are true regarding resonance? Select all that apply. a. If there are two possible locations in a molecule for a double bond, then two of the electrons in that bond switch back and forth between the two locations. b. The "true" structure for a molecule that exhibits resonance is a blend of all of the possible resonance structures that can be drawn for the molecule. c. If there are unequivalent resonance structures for a given molecule, then the one that is the greatest contributor to the resonance hybrid is the lowest energy structure. d. All of the possible resonance structures for a given molecule that can be drawn exist in nature.
The statements that are true regarding resonance are, if there are two possible locations in a molecule for double bond, then two of the electrons in that bond switch back and forth between the two locations, the true structure for a molecule that exhibits resonance is a blend of all of the possible resonance structures that can be drawn for the molecule.
The resonance is the method of describing delocalized electrons within certain molecules. In this arrangement, bonding cannot be expressed by a single Lewis formula.
An ion with these delocalized electrons is represented by several resonance structures.
The effect of resonance is sharing of the double-bond character around the ring.
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A race-car of mass m negotiates a right hand 90o turn at constant speed v on a banked road that makes an angle θ with respect to horizontal. The radius of the turn is given by r and the time the car takes to go around the banked turn is t . The car makes the turn at high speed and, after making the banked turn, the car continues down a straight segment of road.
(A) Draw a free-body diagram which shows the forces acting on the car. Assume rolling friction and air drag are negligible (and that no propulsion force is required to maintain a constant speed). Include your coordinate axes in your drawing.
(B) Use Newton's second law to write an equation for the resulting centripetal force. Then solve the equation for the normal force of road on the tires in terms of: the mass of the car m, the radius of the curve r, time to make the curve t, banked angle θ , and any needed constants of proportionality. Simplify as possible.
(C) A race-car has a mass of 750kg and needs to take the 90o turn of radius 160m in 10.0 seconds regardless of the coefficient of static friction between the tires and the track. What should the minimum banking angle θ be?
The minimum banking angle θ be for the race-car has a mass of 750kg and needs to take the 90o turn of radius 160m in 10.0 seconds regardless of the coefficient of static friction is 21.94°.
No as the calculation :
V = regular speedN = ordinary response through the street at the tiresg = acceleration of gravityr = radius of the parththeta = banking perspectivem = mass Apply Newton's regulation withinside the vertical path we get N cos Θ= mg.Now and follow Newton's regulation withinside the horizontal path 2Now the time to make the curve is = t (given) on this time the automobile travels, s distance so the velocity of the automobile is given through from equation 2 we get.Now from equations 1 and 3, we get, This (equation four) is the simplified relation among the banking perspective, time and the radius of the path. Explanation for step 2.Apply Newton's regulation of motion Step 3/3(c).The way to every component is given in every step above.tan theta =21.94.Read more about Newton's second law:
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Which types of decay will cause the mass number a of a nucleus to change? select all that apply.
Nuclear decay is the type of decay that causes the mass number of a nucleus to change.
In the field of science, a mass number can be described as the number of neutrons as well as the number of protons in an atom.
Nuclear decay can be described as a process by which an unstable atom splits into two atoms in order to get stable. For such a process, the proton and neutron numbers in the nucleus will change. This is because the unstable element is splitting into a new stable element. Hence, we can say that nuclear decay is a process in which the mass number of an atom is subjected to change.
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What will happen if the distance between the two objects is doubled?.
As indicated by Newton's law of attraction each article or body in the universe draws in every single item towards one another and that power of fascination is straight forwardly relative to the result of their masses and contrarily corresponding to the square of the distance between them.
The power of gravity between two articles will diminish as the distance between them increments. The two most significant elements influencing the gravitational power between two items are their mass and the distance between their focuses. As mass increments, so does the power of gravity, however an increment in distance mirrors a reverse proportionality, which makes that power decline dramatically.
At that point by Newton's All inclusive Law of Attractive energy;
F=GMm/R²
Where R is the distance between the bodies .
So , if R′ = 2R
Then, gravitational force,
F = G(Mm/R²)
After doubling the distance,
F′ = G{Mm/(2R)²} = G(Mm/4R²)
F = 4F′
Therefore, when we increase the distance between the two objects is doubled, then the gravitational force is increased four times.
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if the earth were twice as massive as it is now, then the gravitational force between it and the sun would be?
If the earth were twice as massive as it is now, the gravitational force between it and the sun would be twice as massive as it is now
Gravitational force of 2 objects can be determined as below:
F = G [tex]\frac{m_{1}m_{2} }{r^{2}}[/tex]
With, F = Gravitational force
G = Gravitation constant
m1 = mass object 1
m2 = mass object 2
r = distance between object
If earth mass became twice as massive as it is now, the gravitational force can be compared by using equation above :
F1/F2 = G [tex]\frac{m_{1}m_{2} }{r^{2}}[/tex] / G [tex]\frac{m_{1}m_{2} }{r^{2}}[/tex]
F1/F2 = m earth/ 2 m earth
F1/F2 = 1/2
F2 = 2F1
with,
F2 = gravitational force with earth mass became twice as massive as it is now
F1 = gravitational force with earth as it is now
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A 1.8 kg uniform rod with a length of 90 cm is attached at one end to a frictionless pivot. It is free to rotate about the pivot in the vertical plane. The rod is held in the horizontal position and released from rest. Determine the rod’s linear density in SI units.
Determine the rod’s moment of inertia in SI Units.
Determine the initial angular acceleration of the rod. Determine the initial linear acceleration in the middle of the rod in SI Units.
Find the magnitude of torque in SI Units.
Answer:
ρ = 1.8 kg / .90 m = 2 kg / m linear density
Γ = m g L/2 = I α torque producing acceleration α
α = m g L/2 / I = m g L/2 / 1/3 m L^2 = 3 g / (2 *L)
α = 3 / 2 * 9.80 * / .90 s^2 = 16.3 / s^2 angular acceleration
a = L/2 α = .90 m / 2 * 16.3 / s^2 = 7.3 m/s^2 acceleration of middle of rod
A 1.8 kg uniform rod (90 cm long) pivots freely. Linear density = 2 kg/m. Moment of inertia = 0.486 kg m². Initial angular acceleration = 16.35 rad/s². Initial linear acceleration (middle) = 7.355 m/s². Torque = 7.95 Nm.
mass = 1.8 kg, length = 0.9 m
Linear density (ρ) = Mass / Length = 1.8 kg / 0.9 m = 2 kg/m
Moment of Inertia (I)-
For a uniform rod rotating about one end: I = (1/3) × m × L²
I = (1/3) × 1.8 kg × (0.9 m)² = 0.486 kg m²
Initial Angular Acceleration (α)-
Torque (τ) = I × α
Gravity provides torque
therefore, τ = m × g × L / 2
Equate the two torques and solve for α: α = (3/2) × (g / L) = (3/2) × (9.81 m/s² / 0.9 m) ≈ 16.35 rad/s²
Initial Linear Acceleration (a) at the Middle = a = α × L / 2
= 16.35 rad/s² × 0.45 m
≈ 7.355 m/s
Magnitude of Torque (τ) = I × α = 0.486 kg m² × 16.35 rad/s² ≈ 7.95 Nm
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the velocity of a particle traveling along an axis is given. near what time is the instantaneous acceleration equal to 0?
The most likely time for the instantaneous acceleration to be zero is t = 2.7 sec
What is instantaneous acceleration ?Instantaneous acceleration : The acceleration at any given point in the motion is provided by the continuous time function a(t), which is written as a function of time. The derivative of the velocity function is used to calculate it. The graph of velocity versus time's slope, or instantaneous acceleration, is a measure of motion.
The slope of the tangent line to the graph at any given point on the graph corresponds to the instantaneous acceleration there. The instantaneous acceleration of the particle is equal to 0 when this line is horizontal and has a slope of 0.
According to the plot, these times correspond to the velocity function's extrema, which can be found at t = 1.75, 2.75, 3.25, and for all t = 4.
Thus the most likely time is t = 2.7
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perhaps even more than an ethnic reaction, the funk idiom can be seen as a_______o the cool intellectualism that many found in music of the cool period.
The funky idiom can be seen as a reaction to the cool intellectualism that many found in music of the cool period.
What is the meaning of funk music?Funk, a rhythm-based musical subgenre that connected soul to later African-American musical forms, was very popular in the 1970s and early 1980s. Funk defies literal definition since its meaning fluctuates depending on the situation, like many words originating from the African-American oral tradition. Funky is a slang word that describes someone's smell, surprising style, or attitude. Funk is a term used to describe a type of aggressive urban dance music that is characterized by harsh syncopated bass lines and drumbeats, as well as any number of other instruments that engage in rhythmic counterplay in order to create a "groove."In the 1950s, the names "funk" and "funky" came to refer to a performance style that was a passionate depiction of the Black experience through the language of jazz improvisation.To learn more about funk music, refer to
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what is the approximate mean distance and width of the cmz for a star with a mass of 8 solar masses?
Approximation of the mean distance is 80.A close proximity; a close approach: a goal is being approached. to estimate Three miles was about how far it was.
What does "rough distance" mean?A close proximity; a close approach: a goal is being approached. to estimate Three miles was about how far it was.Accurate or about so: although not precisely, close in value or quantity. an approximation of the answer. near together, with an approximate date.Assume that your thumb appeared to have jumped a certain distance. For instance, if it appeared to jump 8 times the distance of a structure that You estimate to be 100 feet long, it would have traveled a distance of 800 feet. Once you have the approximation of the distance you need, multiply the jump's number by 10. Approximation of the distance = 8*10 = 80.To learn more about Mean distance refer to:
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If mr. Desalvo traveled 360 miles and used 12 gallons of gas. What is the unit rate of miles per gallon?.
The unit rate of miles per gallon is 30 miles. We write unit rate as a ratio with a denominator of 1.
Unit rate refers to the ratio of two different units, with denominator as 1. The example of unit rate is written in kilometer/hour, meter/sec, miles/hour, salary/month, etc. A unit rate refers to a level for one of something. We write unit rate as a ratio with a denominator of 1.
To know the unit rate of miles per gallon we can calculate use this formula:
Unit rate in miles per gasoline = Total miles travelled / Total gallons used
Unit rate in miles per gasoline = 360 miles / 12 gallons
Unit rate in miles per gasoline = 30 miles
Thus, the unit rate of miles per gallon is 30 miles.
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Radio stations can broadcast their signals over great distances. Which property enables a radio station signal to travel far from the source?.
Radio waves are more extensively utilized in communication than other electromagnetic waves, owing to their desirable propagation properties caused by their large wavelength.
What is radio station signal?The radio signal is a very fast electronic current moving back and forth. This field is radiated outward by a transmitter via an antenna; a receiver picks up the field and translates it to the sounds heard through the radio.
FM is an abbreviation for frequency modulation, which is a method of encoding an audio signal on the carrier frequency. The 88-108 MHz band is used by FM full power, low power, translator, and booster stations.
Radio waves can refract from the ionosphere at medium and shortwave frequencies (MF and HF bands).
This means that medium and short radio waves sent at an angle into the sky can be refracted back to Earth at great distances further than the horizon, even across continents.
Thus, this property enables a radio station signal to travel far from the source.
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The property that enables signal over great distance to travel from the source is radiation. Radiation is a mode of energy transfer through vacuum.
What is wave propagation?Wave are disturbance in air or the propagation of energy. Electromagnetic waves are waves with an electric field associated with a magnetic field. Electromagnetic waves does not need a medium to propagate.
Practical radio transmission systems employ a variety of propagation types. Radio waves that propagate along a straight path from the transmitting antenna to the receiving antenna are said to be line-of-sight radio waves.
Medium-distance radio transmission, including that used by cell phones, cordless phones, walkie-talkies, wireless networks, FM radio, television broadcasting, radar, and satellite communication, is carried out using line of sight transmission.
Line-of-sight transmission on Earth's surface is only possible up to the height of the transmitting and receiving antennas, which is determined by the distance to the visual horizon.
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one end of a string is attached to a vertical pole with the other end of the string attached to a ball that swings in a horizontal circular path, as shown. which of the following free body diagrams represents the forces exerted on the ball?
A ball is suspended from a string by its opposite end, which is fastened to a vertical pole and swings in a horizontal circle.
Weight of the ball = W
Tension in the string = T
There are only 2 forces acting on the ball it's own weight downwards and the tension on it from the string directed along the string.
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What is the acceleration due to gravity at a location where a 15. 0-kilogram mass weighs 45. 0 newtons?.
The acceleration due to gravity is 3 m/s^2
What is acceleration due to gravity ?The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. M/s2 is its SI unit. Its vector nature—which includes both magnitude and direction—makes it a quantity. The unit g stands for gravitational acceleration. At sea level, the standard value of g on earth's surface is 9.8 m/s2.
An object's velocity changes when it falls freely toward the surface of the earth from a specific height. This acceleration is known as acceleration due to gravity and is symbolized by the symbol g.
In the given question
given is ; the weight = 45 N
and the mass = 15 kg
thus F = ma
or W = ma
a = W / m
a = 45 / 15
a = 3 m/s^2
thus acceleration due to gravity = a = 3 m/s^2
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What are the causes of stagflation?.
On the factors causing stagflation, economists are divided. Two basic hypotheses, however, can be derived: supply shock and bad economic policy.
Although there are numerous hypotheses, it is generally agreed that stagflation happens when the money supply is increasing while supply is being limited. For instance, stagflation would happen if a government printed money, increasing the money supply and inflation, while also hiking taxes, slowing economic development.
Slow economic development and relatively high unemployment, sometimes known as economic stagnation, are the hallmarks of stagflation, which is also characterised by rising prices (i.e. inflation). Stagflation typically happens when supply is restricted while the money supply is growing.
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Compared to the average density of the terrestrial planets (mercury, venus, earth, and mars), the average density of the jovian planets (jupiter, saturn, uranus, and neptune) is.
The average density of the Jovian planets (Jupiter, Saturn, Uranus, and Neptune) is greater.
de
What is density?The density of a material indicates the density of that material in a given area. The density of a material is defined as its mass per unit volume. Density is basically a measure of how tightly packed a substance is. It is a unique physical property of a particular object. The principle of density was discovered by the Greek scientist Archimedes. Calculating density is easy if you know the formula and understand the units involved. The symbol ρ means density, or it can also be represented by the letter D or ρ.
Density formula: ρ = m/V, where ρ is the density, m is the mass of the object, and V is the volume of the object.
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a microscope is made of an objective (0.700 mm) and an eyepiece. what is the object distance from the eyepiece
The object distance from the eyepiece will depend on the magnification of the microscope, which is the ratio of the focal length of the objective lens to the focal length of the eyepiece. For example, if the eyepiece has a focal length of 10 mm, the object distance would be 7 cm (0.700 mm x 10 mm = 7 cm).
What is microscope?
The ability to see objects which are too small to be seen by the nak ed eye requires the use of a laboratory instrument called a microscope. Microscopy is the study of tiny objects seen through a microscope. It's challenging to see something microscopic without a microscope. There are many different types of microscopes, and they can all be categorised in different ways. One way is to describe how an instrument works with a sample and produces images by either having to send an electron as well as light beam thru the sample inside its light system, detecting photoelectron emissions from the sample, or using probe to scan across the sample's surface for a brief period of time.
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An object executing simple harmonic motion has a maximum speed of 5.0m/s and a maximum acceleration of 0.62m/s2 .Part AFind the amplitude of this motion.Express your answer using two significant figures.Part BFind the period of this motion.Express your answer using two significant figures.
A)Amplitude of the motion, A= 40.32m
B)Period of the motion, T= 50.67 sec
What is harmonic motion?The motion that an oscillating mass experiences when restoring force is proportional to the displacement, but in opposite directions is called as harmonic motion.
The position of object around equilibrium in simple harmonic motion is :
x(t) = A cos (ωt)
A is amplitude of the motion and ω is angular frequency.
Velocity is derivative of position and given as:
v(t) = - ωA sin (ωt)
= - v₀ sin (ωt)
v₀= ωA is maximum velocity .
Acceleration is derivative of velocity and given as :
a(t)= - ω² A cos (ωt)= a₉ cos (ωt)
and a₉= ω²A is the maximum acceleration of the object.
Given: v₀= ωA= 5 m/s---(1) ; a₉= ω²A= 0.62 m/s²----(2)
From the given equation (1), we get
A) A= 5/ω
substitute this into the second equation, we find the angular frequency ω= 0.124
amplitude, A= 40.32m
B) As ω= 0.124 rad/sec
and angular frequency is related to the period as
T= 2π/ω
therefore, period , T = 2π/0.124
T= 50.67 sec
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a river cruise boat sailed 48 miles down the mississippi river for three hours. it took four hours to return. find the rate of the cruise boat in still water and the rate of the current.
a ) The rate of the cruise boat in still water is 14 mi / hours
b ) The rate of the current is 2 mi / hours
s = d / t
s = Speed
d = Distance
t = Time
During downstream,
d = 48 mi
t = 3 hours
s = 48 / 3
s = 16 mi / hours
During upstream,
d = 48 mi
t = 4 hours
s = 48 / 4
s = 12 mi / hours
Speed of boat in still water,
s = 1 / 2 ( Downstream speed + Upstream speed )
s = 1 / 2 ( 16 + 12 )
s = 14 mi / hours
Speed of river,
s = 1 / 2 ( Downstream speed - Upstream speed )
s = 1 / 2 ( 16 - 12 )
s = 2 mi / hours
Therefore,
a ) The rate of the cruise boat in still water is 14 mi / hours
b ) The rate of the current is 2 mi / hours
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calculate the force of earth's gravity on a spacecraft 2.50 earth radii above the earth's surface if its mass is 1450 kg .
The force of earth's gravity on a spacecraft 2.50 earth radii above the earth's surface if its mass is 1450 kg is 1578.89. N
Force is a push or pulls upon an item because of the object's interaction with some other object. pressure is a power that can exchange the motion of an object. A force can reason an object with mass to alternate its speed, i.e., to boost up. pressure also can be described intuitively as a push or a pull. A force has each significance and course, making it a vector amount.
calculation:-
F = GMm/(Re + 2R)
= 1/9 GMm/Re²
Substituting g for GM/Re² in the above equation
Fg = 1/9mg
Substitute 1450kg for m and 9.8 m/s² for g in the above equation.
= 1/9(1450)(9.8 m/s²)
= 1578.89
The phrase 'Force' has a unique meaning. At this degree, it is absolutely appropriate to describe a force as a push or a pull. A force is not something that an object consists of or 'has in it. A force is exerted on one object through another. The concept of a force isn't always restricted to living matters or non-living matters.
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Listed following are various physical situations that describe how light interacts with matter. Match these to the appropriate category.
TRANSMISSION:
-visible light meets clear glass
-cell phone signals pass through walls
A signal in signal processing is a function that communicates knowledge about a phenomenon. Any variable that is subject to variation in both space and time can be utilized as a signal to communicate between observers. The IEEE Transactions on Signal Processing lists sonar, radar, audio, video, and speech as examples of signals. Any visible change in a quantity over time or space (a time series), even if it does not convey information, can be referred to as a signal.
In nature, signals can be activities taken by one organism to notify other species. These actions can range from plants releasing chemicals to warn other plants of a nearby predator to animals making sounds or gestures to inform other animals of food.
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Bon E The figure below (from the textbook) analyzes a falling ball. The system has been defined as earth + ball. Why? System y Front E on B E on B Environment Environment O To allow for thermal energy O To simplify the calculation of work To use potential energy rather than work O To converse energy O To be able to include the bounce
Bon E The figure below (from the textbook) analyzes a falling ball. The system has been defined as earth + ball then System y Front E on B E on B Environment Environment O To allow for thermal energy.
The earth-ball device accommodates the earth and the ball. Forces inner to the device encompass the gravitational pressure among them, and collisions among them. In the absence of outside forces, the overall momentum of the this device is constant. Of course, this is tough to measure, for the reason that the earth is so massive.
However, the momentum of the earth-ball device is modified by, for instance, the gravitational enchantment to the solar that is an outside pressure.
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A single infinitely long straight piece of wire carrying a current I is split and bent so that it includes two half circular loops of radius R, as shown in the Figure. If current I1 goes through the top loop and current I2 through the lower loop (with I = I1 + I2) and if I2 = 2I1 what is the magnitude of the magnetic field at the center of the circle (k = µ0/4π)?
The magnitude of the magnetic field at the center of the circle (k = µ0/4π) is [tex]k\pi I/3R[/tex]..
Given a single infinitely long straight piece of wire is carrying a current I.
It is split and bent so that it includes two half circular loops of radius R.
Current [tex]I_{1}[/tex] goes through the top loop and current [tex]I_{2}[/tex] through the lower loop (with [tex]I=I_{1} +I_{2}[/tex]) and if [tex]I_{2}[/tex] = 2[tex]I_{1}[/tex].
Now, [tex]I=I_{1} +I_{2}[/tex]
⇒[tex]I=I_{1} +2I_{1}[/tex]
⇒[tex]I=3I_{1}[/tex]
∴[tex]I_{1}=I/3\\[/tex] and [tex]I_{2}=2I/3\\[/tex]
The magnitude of the magnetic field at the center of the circle is:
[tex]B_{z} = k\pi I_{2} /R - k\pi I_{1} /R[/tex]
[tex]B_{z} = k\pi (I_{2} - I_{1}) /R[/tex]
= [tex]k\pi I/3R[/tex]
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Does the active site catalyze the reaction?.
The active site of an enzyme catalyzes the reaction.
The active site is the region of an enzyme where substrate molecules bind and undergo a chemical response. the energetic site includes amino acid residues that form temporary bonds with the substrate (binding site) and residues that catalyze a response of that substrate (catalytic site). the active site is the part of an enzyme to which substrates bind and where a reaction is catalyzed.
The catalytic site happens subsequent to the binding site, wearing out the catalysis. It is composed of around two to four amino acids, involved in catalysis. The amino acids that form the active site are located in wonderful elements of the amino acid sequence of the enzyme.
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How do enzymes bind to the active site?.
The active site by interacting with amino acids in the binding site.
The binding site of an enzyme is often called the active site because it contains amino acids that help bind substrates and convert them to products. It is clear from the name that proteins are enzymes. The part of the enzyme where the substrate binds is called the active site.
It joins nucleotides and amino acids together to make DNA and proteins, breaks down sugars and fats into energy, and breaks down toxins in the liver. Enzymes are therefore one of the most important molecules in biology. Environmental conditions can affect the active sites of enzymes and thus the rate at which chemical reactions occur. Increasing the ambient temperature generally increases the reaction rate.
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which type of heat detector is activated by an increase in temperature in surrounding air that exceeds a set amount over a given period of time?
Rate-of-Rise Detector heat detector is activated by an increase in temperature in surrounding air that exceeds a set amount over a given period of time.
A warmth detector is a hearth alarm device designed to respond whilst the convected thermal electricity of a fireplace increases the temperature of a warmth-touchy detail. The thermal mass and conductivity of the detail regulate the price flow of heat into the detail. All warmth detectors have this thermal lag. warmness detectors have the foremost classifications of operation, "fee-of-upward thrust" and "constant temperature". the warmth detector is used to help in the discount of belongings damage.
this is the most commonplace sort of warmness detector. fixed temperature detectors perform whilst the heat-touchy eutectic alloy reaches the eutectic point converting the state from a solid to a liquid. Thermal lag delays the buildup of warmth at the sensitive detail in order that a set-temperature tool will reach its operating temperature sometime after the encompassing air temperature exceeds that temperature. The maximum common fixed temperature point for electrically connected warmth detectors is 58°C (136.4°F).
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compare the delay growth of a ripple-carry adder versus a carry-lookahead adder. (ie. how does the delay increase as we increase the size of each adder?)
A ripple-carry adder has a linear increase in the delay as the size of the adder increases, meaning that for each additional bit, the delay increases by the same amount.
What is delay?
A delay is indeed a holding-on to or postponing. The audience might become agitated and noisy if there is a sudden delay before the play begins. You have to queue about for things to start during a delay. Another word for delay is delay: "That burnt pizza will put off dinner for the at least one other hour." Another way to put off a task is to loiter or wait: "The performer always puts off a task when he's anxious about and sang in front of a crowd." De-, which means "not," and laier, which means "leave," are the roots of the Old French word delay.
A carry-lookahead adder, on the other hand, has a logarithmic increase in the delay as the size of the adder increases, meaning that for each additional bit, the delay increases by a smaller amount.
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