The percentage error of Jocelyn's estimate is 2.135%
Estimated measurement of wood by Jocelyn = 5.5 cm
Actual measurement of wood = 5.62 cm
error value in calculation = 5.62-5.5 = 0.12 cm
Percentage error = (estimated number - actual number) / (actual number) * 100 = (0.12/5.62)*100
= 2.135 %
What is percentage-
% in mathematics is a quantity or ratio that is stated as a fraction of 100 Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent sign, "%," is frequently used to indicate it lacks dimensions and has no associated unit of measurement.
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A wire of resistivity rho must be replaced in a circuit by a wire of the same material but four times as long. If, however, the total resistance is to remain as before, the diameter of the new wire must.
If the total resistance is to be same, then the diameter of the new wire should be two times of the replaced wire.
The resistance of a wire is given by,
R = 4pL/πd²
Where,
R is the resistance,
p(rho) is the resistivity,
L is the length of the wire,
d is the are diameter of the wire.
The length of the replaced wire is four time of the previous wire and it is made up of same material. So, the resistivity will be same and it is said that the resistance has to be same,
So, we can write the new diameter d' in the relation as,
R = 4p4L/π(d')²
d'² = 4(4pL/πR
Putting, (4pL/πR) = d²,
d'² = 4d²
d' = 2d
The new diameter has to be two times of the previous diameter.
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A 40. 0-kilogram child exerts a 100. -newton force on a 50. 0-kilogram object. The magnitude of the force that the object exerts on the child is.
The magnitude of the force that the object exerts on the child is 100 N.
Calculation:-
mass of object = 50 kg
Force exerted by child = 100 N
From newton's third law of motion, equal and opposite force is applied.
Hence, force the object exert is same 100 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.
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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a boat is at anchor outside a harbor. a steady sinusoidal ocean wave makes the boat bob up and down with a period of 4.80 s and an amplitude of 1.00 m . the wave has wavelength 40.5 m . for this wave, what is the frequency?
The frequency of the boat at anchor outside a harbor is 0.208 Hz
What do you mean by SHM?
Simple Harmonic Motion or SHM is defined as the particular oscillation along a straight line between the two extreme points of locations (the path of SHM is a constraint).
It is a special kind of oscillatory motionIt occurs when the object goes in a straight line.A restoring force will be applied to the mean position or equilibrium position where mean position is a reliable equilibrium in simple harmonic motion.Time period: The time period is defined as either the shortest amount of time required to complete one oscillation or the shortest amount of time after which the particle continues to repeat its motion.
Time period is given as T = 2π/ωFrequency: The frequency is explained as the number of oscillations happening per second.
Frequency is 1/T and angular frequency equals 2π/TGiven in the question:
T = time period = 4.80 s
A = amplitude = 1.00 m
λ = wavelength = 40.5 m
T = 2π/ω
ω = 2π/T
= 2 x 3.14 / 4.8
= 1.308 rad/sec
ω = 2πf
f = ω/2π
= 1.308/2 x 3.14
= 0.208 Hertz
Hence, the frequency is 0.208 Hz
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A simple pendulum consisting of a 1. 0m long string and a 0. 20kg bob is pulled to the side so that the string makes an angle of 20° with the vertical. If the gravitational potential energy of the bob-earth system is zero at the lowest point of the pendulum’s arc, the angle at which the gravitational potential energy of the bob-earth system is equal to the kinetic energy of the bob is most nearly.
The mechanical energy can be calculated by the sum of the kinetic energy and the potential energies, θ = 9.8º
here, the case that there is no friction, this energy is constant
The kinetic energy is: K = ½ m v²
The potential energy is: U = m g (y-y₀)
The mechanical energy is Em = K + U
Where we know,
m is mass
v is linear velocity
g is the acceleration of gravity
y height.
The formula for simple harmonics motion for small angles -
θ = θ₀ cos (wt + Ф)
here,
θ is the angle of motion
w is the angular velocity
t time
Ф a phase constant
This indicate the system that has a length of
l = 1.0 m
which is released at the angle of θ₀ = 20º (π rad / 180º) = 0.349 rad
Velocity is defined by the change in position or angles with respect to time.
w = -θ₀ w sin (wt + Ф)
we know, initial movement for
time t = 0 the velocity = 0
0 = - θ₀ w sin Ф
The angular velocity is given as
w² = g / l ( g = 9.8)
w = 3.13 rad/sec
Expression for the energies
K = ½ m v²
Linear and angular variables are related.
v = w l
calculations,
K = ½ m l² w²
the expression for the angular velocity.
K = ½ m l² ( -θ₀ w sin wt) ²
for the potential energy, where we make the initial height = 0
U = m g θ₀ cos wt
kinetic energy = potential energy
K = U
½ m l² θ₀² w² sin² wt = m g θ₀ cos wt
when we solve this, we get
θ = wt
when we calculate,
sin² θ = 29.8/ 1^20.3493.13^2
sin² θ = 5.73 cos θ
The solution of
θ' = 1.4 + 2π n n= 0, 1, 2, ...
First occurs for n = 0
θ = 1.40 rad = 80.2º
angle measured from vertical components-
θ = 90- 8.02
θ = 9.8º
we can say, by taking in account of definition of energy and simple harmonics motion, we can find the results for point at which KE and PE is equal.
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Which periodic table groups do these elements belong in?
Answer:
Claim: Element J should be placed in group 2A (group 2), the Alkaline earth metals. Element Q should be placed on group 8A, Nobel Gases.
Evidence: Element J is Solid at room temperature, is a good conductor of electricity, and have reactions. All of which are properties of Alkaine earth metals. Nobel gases are extremely unreactive, rarely forming compounds and the elements in this group are also gases at room temperature.
Reasoning: Based off of the evidence provided, its safe to say that Element J would belong in group 2A because of its indistindistinct similarities to elemts within that group. Element J would go with the Nobel gases for the same reason
Explanation:
ᓚᘏᗢ meow
a container is filled to a depth of 18.0 cm with water. on top of the water floats a 25.0-cm-thick layer of oil with specific gravity 0.500. what is the absolute pressure at the bottom of the container?
Thus, P(absolute)=P, where the absolute pressure just at container's bottom is 103983 pa. • [(oil) h(oil) g] + [(water) h(water) g]
where is The exact pressure is?Absolute pressure is defined as any pressure that is found to be greater than zero. It is determined by using a barometer and is determined by adding the atmospheric pressure to the measurement of pressure. the atmospheric pressure in patm. It is approximately 14.7 pounds per single centimeter at sea level.
What does the absolute pressure sign represent?Absolute pressure is a pressure that is in relation to this reference pressure. The index "abs," which comes from the Latin "absolutus," which means unattached and autonomous, is used to distinguish it from other types of pressure.
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A particularly scary roller coaster contains a loop-the-loop in which the car and rider are completely upside down. If the radius of the loop is 13. 2 m, with what minimum speed must the car traverse the loop so that the rider does not fall out while upside down at the top? assume the rider is not strapped to the car.
with 13.06 meters per second minimum speed, car traverse the loop so that the rider does not fall out while upside down at the top.
What is centripetal force?
A net force called a centripetal force keeps an object moving in a circle by acting on it.
Given,
Radius of Loop, r = 13.2 m
without the strap, roller coaster must have complete the loop.
At highest point
weight will provide centripetal force just to complete the loop
Thus mg = mv²/r
where v = minimum velocity possessed by roller coaster in order to cover the loop
v = [tex]\sqrt{gr}[/tex]
v = [tex]\sqrt{9.8 X 13.2}[/tex]
v = [tex]\sqrt{129.36}[/tex] = 13.06 m
Therefore, with 13.06 meters per second minimum speed, car traverse the loop so that the rider does not fall out while upside down at the top.
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With 13.06 meters per second minimum speed, car traverse the loop so that the rider does not fall out while upside down at the top.
What is centripetal force?
A net force called a centripetal force keeps an object moving in a circle by acting on it.
Given,
Radius of Loop, r = 13.2 m
without the strap, roller coaster must have complete the loop.
At highest point
weight will provide centripetal force just to complete the loop
Thus mg = mv²/r
where v = minimum velocity possessed by roller coaster in order to cover the loop
v = √9r
v = √9.8×13.2
v = √129.36 = 13.06 m
Therefore, with 13.06 meters per second minimum speed, car traverse the loop so that the rider does not fall out while upside down at the top.
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Amed watched a video of someone using a jetpack rocket at a lake. Water is pumped out of the lake into the jetpack, and then the water is fired out of the jetpack, as shown in the picture. The rider is lifted out of the water and can move around over the lake.
Explain to Amed what an action-reaction pair is and which two objects are causing the action reaction pair in this activity
The action - reaction pair as to do with the force of the water and the lifting of the man.
What is the Newton third law?We know that according to the Newton third law of motion, action and reaction are equal and opposite. This implies that when force is exerted on an object, the object would also be able to exert an equal but opposite force on the object.
Having said this, we know that when a force is exerted on the man by the water that is applied, the reaction is that the man would be lifted higher. This is thus the action and the reaction pair that is involved here.
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hand instruments are designed with three specific parts. the three parts include the handle, shank, and:
Three distinct components are used in the design of hand instruments. The working end, shank, and handle are the three components. The handle, the shank, and the blade are the three parts of hand tools.
and the operational end. a dental hand instruments three components. Handle Where the operator holds or grasps the hand instruments is at the handle part. a device or implement that is used to perform or make labour easier, especially a small, specialized tool used by a professional: sanitized the shank and other working end. a tool for measuring, recording, or controlling, The part of the tool with a specified purpose is referred to as the working end. A point, blade, or nib may be present on this end. Whenever an instrument has a nib.
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a mass-spring-damper system has a mass of 100 kg. its free response amplitude decays such that the am- plitude of the 31st cycle is 20% of the amplitude of the 1st cycle. the system takes 60 seconds to complete 30 cycles. estimate the damping constant c and the spring constant k.
The oscillator's mass (m) and stiffness (k) are used to calculate the critical damping coefficient (cc) using the following formula: cc = 2(km).
The mass is increased to the starting amplitude position A0 before being let go. In a fluid with viscosity, the mass oscillates about the equilibrium position, but the amplitude gets smaller with each oscillation. According to this website, the formula for the damping force,
Fd, is Fd=-cv,
=100 * 60/30
=600
where c stands for the damping coefficient and v for the velocity. According to Hooke's Law, a spring's force is proportional to how far it has moved from its rest position. Where F is the force applied by the spring, F = -k * x x
is the displacement of the spring from rest in meters, and k is the "spring constant."
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explain or demonstrate mathematically how the formula for the critical angle (the angle at which total internal reflection occurs) can be derived from snell's law.
The critical angle for the total internal reflection using snell's law is
θ(c) = sin⁻¹(n₂/n₁).
Total internal reflection:
Full reflection of a light ray from the surrounding surface is back into a medium like glass or water. If the incidence angle exceeds a specific limitation angle known as the critical angle.
critical angle:
The critical angle is the angle of incidence for which the angle of reflection is 90 degrees. the incidence angle above which 100% internal reflection takes place is known as the critical angle.
Critical angle by using shell's law :
n₁ sinθ₁ = n₂sinθ₂
n₁ and n₂ are refractive index of the two material.
n₁ sinθ(c) = n₂sin(90°)
where,
θ(c) is the critical angle.
θ(c) = sin⁻¹(n₂/n₁)
The critical angle for the total internal reflection using snell's law is
θ(c) = sin⁻¹(n₂/n₁).
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a square coil, enclosing an area with sides 6.4 cm long, is wrapped with 3,038 turns of wire. auniform magnetic field perpendicular to its plane is turned on and increases to 0.47 t during aninterval of 1.2 s. what is the magnitude of the induced voltage in the coil?
The magnitude of the induced voltage in the coil is 2.06 V, 1.54 rad/s and perpendicular is 0.141 uA.
What is magnetic field?
The magnetic field is the region where the force of magnetism acts on a magnetic substance or a moving electric charge. a magnetic field diagram that shows how the magnetic force is distributed both inside and outside of a magnetic material.
What is magnitude?
Magnitude is "distance or quantity," to put it simply. It displays an object's size or motion in either an absolute or relative sense. It is a means of describing the size or breadth of something. Magnitude typically refers to a length or a size.
A=(6.9*10^-2)^2 =4.761*10^-3 m^2
E=NAB/t
E=3064*0.24*4.761*10^-3/1.7
E=2.06 V
A=L^2 =(2.43^2-0..51^2)=5.6448
E=(1/2)BAW
W=2E/BA
W=2*6.5/(1.5*5.6448)
W=1.54 rad/s
B=uoI/2pid =(4pi*10^-7)*9/2pi*13
B=1.3846*10^-5 T
E=BLV =1.3846*10^-5*0.7*0.2
E=1.94*10^-6 V
I=E/R =1.94*10^-6/13.8
I=0.141 uA
Therefore, the magnitude of the induced voltage in the coil is 2.06 V, 1.54 rad/s and perpendicular is 0.141 uA.
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there is an inverse relationship between energy of light and wavelength group of answer choices true false
False Relationship between energy to wavelength is also inverse as wavelength to frequency. As wavelength gets shorter ,the energy will increases and vice versa.
Energy can also be linked to light, and there is a clear relationship between energy and wavelength. The energy decreases as the wavelength lengthens and vice versa. Visible light has a lower energy than, for example, X-rays or ultraviolet light and a higher energy than infrared radiation or radio waves. The wavelength has an inverse relationship with the amount of energy because the electromagnetic frequency of the photon is directly proportional to it. The frequency of a photon determines its energy. The energy of a photon decreases proportionally to its wavelength. Longer wavelengths and lower frequencies correspond to warmer colors. Shorter wavelengths and higher frequencies correspond to cooler colors. The Greek letter lambda λ, which represents wavelength, is frequently used.
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you have a 15 kg suitcase and (a) slowly lift it 0.80 m upward, (b) hold it at rest to test whether you will be able to move the suitcase without help in the airport, and then (c) lower it 0.80 m. what work did you do in each case? what assumptions did you make to solve this problem?
The assumption that the system has no internal energy and that the force is applied uniformly is made to solve this problem.
What is internal energy?The internal energy of a thermodynamic system refers to the total energy contained in it. It is the energy required to create or prepare a system in a given internal state and includes contributions of potential energy and internal kinetic energy.Energy gains and losses in the system due to internal state changes are taken into account. It does not include the kinetic energy of the motion of the entire system or external energy from the surrounding force field. The internal energy of an isolated system is constant, which is expressed as the law of conservation of energy, which is the basis of the first law of thermodynamics. Internal energy cannot be measured directly, and it is of little interest to know all its constituents, such as their constituent static rest mass energies. Thermodynamics is primarily concerned only with internal energy changes, not absolute values.To learn more about internal energy from the given link :
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during a hockey game, a puck is given an initial speed of 10 m/s. it slides 50 m on the horizontal ice before it stops due to friction. what is the coefficient of kinetic friction between the puck and the ice? group of answer choices 0.40 0.20 0.50 0.30 0.10
The coefficient of kinetic friction between the puck and the ice is 0.10
What is the coefficient of kinetic friction?
It is the ratio of the friction force to the normal force experienced by a body moving on a dry, non-smooth surface.
How to calculate the coefficient of kinetic friction?
v²-u²=2as
0-(10)²=2*a*50
a = 1m/s²
F = uN (N=mg)
ma = umg
u = a/g = 1/9.8 = 0.10
Therefore, the coefficient of kinetic friction between the puck and the ice is 0.10
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put the following forms of electromagnetic radiation in order of increasing wavelength: clear all infrared visible microwave shortest wavelength second longest wavelength longest wavelength
The following forms of electromagnetic radiation in order of increasing wavelength: clear all infrared visible microwave shortest wavelength second longest wavelength longest wavelength visible<infrared<microwave.
In physics, the wavelength is the spatial period of a periodic wave—the gap over which the wave's form repeats. it is the distance between consecutive corresponding points of the identical segment at the wave, including two adjoining crests, troughs, or 0 crossings, and is a feature of both touring waves and standing waves, in addition to other spatial wave styles. The inverse of the wavelength is known as the spatial frequency. Wavelength is generally detailed with the aid of the Greek letter lambda (λ).
The term wavelength is also every now and then applied to modulated waves, and to the sinusoidal envelopes of modulated waves or waves formed by means of interference of numerous sinusoids. Assuming a sinusoidal wave moving at a hard and fast wave speed, wavelength is inversely proportional to frequency of the wave: waves with higher frequencies have shorter wavelengths, and lower frequencies have longer wavelengths.
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A charming friend of yours who has been reading a little bit about astronomy accompanies you to the campus observatory and asks to see the kind of star that our sun will ultimately become, long, long after it has turned into a white dwarf. Why is the astronomer on duty going to have a bit of a problem satisfying her request?.
Why would the astronomer in charge have little trouble fulfilling his request after a white dwarf cools off it becomes too cold and dark to emit visible light.
What is a white dwarf?
White dwarfs are stars like the Sun after they have used up their nuclear fuel. Toward the end of its nuclear combustion stage, this type of star ejects most of its outer material, creating a planetary nebula. Only the hot core of the star remains. This core becomes a very hot white dwarf, with temperatures exceeding 100,000 Kelvin.
Unless the material is accreted from a nearby star (see Cataclysm Variables), the white dwarf cools in about the next billion years. Many nearby young white dwarfs have been detected as sources of soft, or lower energy, X-rays. More recently, soft and ultraviolet X-ray observations have become powerful tools in studying the composition and structure of the thin atmospheres of stars.
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A roller coaster cart of mass m= 230kg starts stationary at point A, where h1= 39.1 m and a whole later is at B, where h2=9.7m
The acceleration of gravity is 9.8 m/s^2.
What is the potential energy of the cart relative to the ground at A? (Answer in units of J)
What is the speed of the cart at B, ignoring the effect of friction? (Answer in units of m/s)
Change in potential energy is calculated as 66267.6 J
v₂, speed of the cart at B is calculated to be 24 m/s
What is energy?Quantitative property that is transferred to a body or to a physical system and is recognizable in the performance of work and in the form of heat and light is called a as energy.
As we know, KE1 + PE1 = KE2 + PE2
Given m=230kg,h=39.1 m, h2= 9.7m
we know g= 9.8m/s^2
As we know, KE1 + PE1 = KE2 + PE2
0 + m*g*h₁ = .5(m)v₂² + m*g*h₂
(230)*(9.8)*(39.1)= 0.5(230)(v₂² )+ (230)(9.8)(9.7)
88131.4 = 115 v₂² + 21863.8
66267.6 = 115 v₂²
v₂² = 576.24
v₂ = 24 m/s
We know, change in potential energy is PE2 - PE1
88131.4- 21863.8
Change in potential energy = 66267.6 J
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what is the basic definition of a black hole? question 16 options: any compact mass that emits no light a dead star that has faded from view a dead galactic nucleus that can only be viewed in infrared any object from which the escape velocity exceeds the speed of light any object made from dark matter
The basic definition of a black hole is -
D) any object from which the escape velocity exceeds the speed of light.
What is a blackhole?
Points in space known that are so dense that they produce large gravity wells. Even light cannot escape a black hole's intense gravitational pull after a certain point. And in a theoretical process aptly known as spaghettification, anything that gets too close will be stretched and compressed.Stellar, intermediate, supermassive, and miniscule black holes are the four main categories. Stellar death is the process that creates black holes most often. Most dying stars will expand, lose mass, then cool to form white dwarfs as they approach the end of their lives. However, the biggest of these flaming bodies, those at least 10 to 20 times as massive as our sun, are doomed to become either super-dense neutron stars or so-called stellar-mass black holes.
Hence, option D is correct.
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An electron is moving in a circular orbit in a uniform magnetic field. Is the kinetic energy of the electron changing? select the correct answer and explanation.
No, the kinetic energy of the electron will not change.
The relationship of electron moving in a circular orbit in a uniform magnetic field:The electron receives no work from the magnetic force. In actuality, the magnetic force's work is provided by:
where F is the magnetic force, d is the electron's displacement, and is the angle between the force's direction and the electron's motion.
However, because the magnetic pull is always perpendicular to the charged particle's direction and velocity, there is no work done.
The work-energy theorem states that the change in an electron's kinetic energy is equal to the work that has been done on it; therefore, because there has been no work done, the electron's kinetic energy has not changed.
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The gravitational field of the Moon is weaker than that of the Earth. It
pulls on each kilogram of mass with a force of 1.6N. What will be the
weight of a 50kg mass on the Moon? [4]
The weight will be 80N.
Given :- Weak Gravitational field of moon relative to earth ,
F=1.6N
To find : Weight of a 50Kg mass on Moon .
Principle - Weight and mass although sounding same has different roles in Physics . Mass is the amount of matter that is utilized to build a material while talking about weight means its inclusive of an exertion of earth with the application of mass. Mathematically weight w= mg [Product of mass and gravity ]
Now in this question using basic unitary method we can resolve the ask of question. For example cost of one pen is 2rupee then cost of 2 pens is 4 rupees.
Reasoning- As per question , weight of 1 kg = 1.6N
so weight of 50Kg= 1.6 x 50⇒80N
Hence the amount of 80N equivalent weight is computed.
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why never go over the speed limit? a train overturned on a curve in pennsylvania 1947. ten train cars derailed, and 24 people died. the center of gravity was 80 inch above the rail. the wheels were 56 inch apart. the turn radius was 206 m. the speed limit on the curve was 30 mph
A train overturned on a curve in Pennsylvania in 1947. Ten teach automobiles derailed, and 24 people died. The center of gravity changed to eighty inches above the rail.
Pennsylvania is one of the 50 states in the USA of us. it is within the northeastern part of the u. s. It has a border with Ohio at the west, West Virginia at the south and west, Maryland and Delaware at the south, New Jersey at the east, and ny and Lake Erie at the north. Pennsylvania.
Pennsylvania is home to Independence hall in Philadelphia, wherein the constitution and assertion of Independence had been adopted. it is also regarded for its various geography, together with the Appalachian mountains and the Susquehanna river.
Pennsylvania is the simplest original colony now not bordered by the Atlantic Ocean. Benjamin Franklin based the Philadelphia Zoo, the primary public zoo in Indiana County is the Christmas Tree capital of the sector. Actor Jimmy Stewart became born and raised in the metropolis of Indiana.
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if q = (10 - [tex]10e^{-2t}[/tex])mC, find the current at t=0.5
The flowing current at the given time is determined as 7.36 mA.
What is electric current?
An electric current is a stream of charged particles, such as electrons or ions, moving through an electrical conductor or space.
Also we can define electric current as the measure of the average rate of flow of electrical charges over a given period of time.
I = dQ/dt
where;
dQ is change in the flow of electrical chargesdt is the change in time of flow of the chargesThe given parameters include the following;
Q = (10 - 10[tex]e^{-2t}[/tex]), mC
t = 0.5 second
I = dQ/dt
I = d(10 - 10[tex]e^{-2t}[/tex])/dt
I = -2 x (-10[tex]e^{-2t}[/tex])
I = 20[tex]e^{-2t}[/tex]
The time, t is given as 0.5, now substitute this value into the above equation;
I = 20[tex]e^{-2 \times 0.5}[/tex]
I = 20[tex]e^{-1}[/tex]
I = 7.36 mA
Thus, the current at the given time is a function of charge and time of charge flow.
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g physics in a measurement of the absorption of microwaves by a diatomic gas, you find that the lowest absorption frequency is f0. what is the next lowest absorption frequency
6.5 The lowest observed microwave absorption frequency.
What is absorption?Physical or chemical absorption is the process by which atoms or molecules enter the bulk phase of a gas, liquid, or solid material and are absorbed into the volume. Simple molecules resulting from chemical digestion pass through the cell membranes of the lowest intestine mucosa and enter the blood or lymphatic capillaries.This process is known as absorption. The process of absorption means that matter captures and transforms energy. Absorbents distribute the trapped material throughout, while adsorbents distribute it only on the surface.The process by which gas or liquid enters the body of the adsorbent is commonly known as absorption .A water soaked paper towel is an example of absorption. If you dip the crayon into the ink for a while, it will absorb the ink and take on the color of the ink. Oxygen and carbon dioxide dissolve in water by absorption. Absorption of ammonia gas by water.To learn more about absorption from the given link :
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Find the minimum initial height h at which the car can be released that still allows the car to stay in contact with the track at the top of the loop. Express the minimum height in terms of r.
In this case if the velocity is too low, it might not feel a normal force at all, which means losing contact with the track.
How do we find the minimum height in terms of r.
Initial height can be defined as the minimum height attained by any object during its motion.
Using the energy conservation found in the first part, we can calculate the minimum height.
mgh = mg2R+ ½ mv2
mgh = mg2R + ½ m(gR)
gh = g2R + ½ (gR)
h = 2R + ½ R
h = 5 R/ 2
Hence, the given height will be h = 5 R/2.
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an object travels down a ramp at a constant acceleration. the object experiences a force of friction and a gravitational force. which of the following could be true about the motion of the object?
Option B. The force of friction between the surface and the object is less than the component of the gravitational force that is parallel to the ramp.
The force of friction between the floor and the item is less than the thing of gravitational pressure this is parallel to the ramp; If the item improved in mass, the item's acceleration would exchange.
Friction is the shape of touch stress. It exists between the surfaces that are in contact. The frictional force relies upon the person on the ground in contact. The rougher the floor, the extra friction is concerned. The frictional force is proportional to the urgent stress, that is the burden of the body. it's miles impartial of the region of the contact.
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Disclaimer:- your question is incomplete, please see below for the complete question.
a. The force of friction acts in the same direction as the object travels.
b. The force of friction between the surface and the object is less than the component of the gravitational force that is parallel to the ramp.
c. If the object increased in mass, the object's acceleration would change.
d. If the object increased in mass, the normal force exerted on the object would remain the same.
A car is travelling at a steady velocity of 28 m/s. It accelerates for 6 seconds to overtake a van. Its new velocity is 32. 5 m/s. Calculate the acceleration of the car.
The acceleration of the car is 0.75 m/s².
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
Calculation:-
v = u +at
a = (v - u)/t
= (32.5 - 28)/6
= 0.75 m/s²
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An in-line skater first accelerates from 0. 0 m/s to 5. 0 m/s in 4. 5 s, then continues at this constant speed for another 4. 5 s. What is the total distance traveled by the in-line skater?.
The total distance traveled by the in-line skater is 33.75 metres.
The total distance will be calculated by the sum of distance due to acceleration and distance due to constant speed. Converting the above mentioned formula in mathematical expression to be used:
d = (v+u/2)×t + v×t
Keep the values in formula to find the total distance.
d = (5+0/2)×4.5 + 5×4.5
Performing addition and multiplication on Right Hand Side of the equation
d = 2.5×4.5 + 22.5
Performing only multiplication on Right Hand Side of the equation
d = 11.25 + 22.5
Performing only addition on Right Hand Side of the equation
d = 33.75 metres
Thus, the skater traveled 33.75 metres.
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a ball is shot from the ground straight up into the air with initial velocity of 49 49 ft/sec. assuming that the air resistance can be ignored, how high does it go?
A height of 27.56 feet is the maximum the ball can fly.
How are speed and velocity different?Speed is the rate at which an object travels along a path over time, whereas velocity is the speed and direction of an item's motion. In other words, speed is a scalar value, but velocity is a vector.
What, for example, is velocity?The rate at which that moves in a certain direction is referred to as its velocity. as quickly as a car traveling north on a road or a rocket taking flight. The magnitude of the velocity vector's absolute value will always be equal to the motion's speed because it is a scalar.
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you are attending the indi 500 and as cars pass you by, your eyes and head follow the race cars. which structure is controlling this movement?
Superior colliculi structure is controlling this movement To attending the indi 500 and as cars pass you by, your eyes and head follow the race cars.
In neuroanatomy, the advanced colliculus (from the Latin 'upper hill') is a shape mendacity at the roof of the mammalian midbrain. In non-mammalian vertebrates, the homologous shape is known as the optic tectum or optic lobe. The adjective shape tectal is typically used for each system.
In mammals, the superior colliculus forms a chief thing of the midbrain. it's far a paired structure and collectively the paired inferior colliculi form the corpora quadrigemina. The superior colliculus is a layered shape, with a pattern, this is just like all mammals. The layers can be grouped into the superficial layers (stratum opticum and above) and the deeper last layers. Neurons within the superficial layers acquire direct input from the retina and reply nearly solely to visible stimuli.
Many neurons in the deeper layers additionally respond to different modalities and some reply to stimuli in a couple of modalities. The deeper layers also incorporate a populace of motor-related neurons, capable of activating eye actions as well as other responses. In different vertebrates, the number of layers in the homologous optic tectum varies.
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