Upon calculation the molarity of H₂O₂ after four half lives if the initial concentration of H₂O₂ is 0.30M is found to be 0.01875 M
This question can be solved using the concept of first order reaction
Every reaction has its own tempo. A glass of milk will begin to get sour in approximately an hour if left on a sunny windowsill. But when potassium metal is added to water, it reacts quickly and strongly. Two factors affect how quickly a reaction occurs. The first is the rate constant (k), which varies depending on the kind of reaction and is temperature-dependent. The second factor is the reactant concentration. The sequence of the reactions determines how the concentration influences the rate.
For a first order reaction,
ln[tex](\frac{A}{A_{o} })[/tex]= Kt
here, A= initial concentration
[tex]A_{0}[/tex]= concentration at a time t
K= Rate constant
t= time
A= 0.30 M
ln[tex](\frac{A}{A_{0} })[/tex]= k× 4[tex]t_{1/2}[/tex]
ln([tex]\frac{0.30}{A_{o} }[/tex])= k×[tex]\frac{4 ln2}{k}[/tex]
[tex]\frac{0.30}{A_{0} }[/tex]= 2⁴
[tex]\frac{0.30}{16}= A_{0}[/tex]
[tex]A_{0}[/tex]= 0.01875M
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the reason a moving object slows down is that its force of motion gradually runs out. true false
The reason a moving object slows down is that its force of motion gradually runs out is false.
If no unbalanced force applies to an object, its momentum stays constant. According to Newton's Second Law, if an object is subjected to an unbalanced force, it will move with a constant speed.
What does momentum actually mean?
The product of a particle's mass and velocity is momentum. Momentum is a vector quantity that has both magnitude and direction. The force exerted on a particle is equated to the time rate of change of momentum by Isaac Newton's second equation of motion.
What does the word "momentum" mean?
illustration of momentum
whenever you throw a ball at a person and it hits him in the face. It shows how challenging it would have been to put a stop to the situation. In the air, a baseball is swooping. There is a big truck moving. a gun of this type shot a bullet.
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A 48 cm long metal rod is oriented horizontally in a uniform magnetic field with magnetic flux density of 340 g. The magnetic field is directed vertically down into the ground. The metal rod is moved with a speed of 13 m/s in a horizontal direction perpendicular to the length of the rod. Neglect the magnetic field of earth at the location of this apparatus. Determine the potential difference induced in the rod. Calculate the answer in the units of v. Write your answer in decimal form with three digits to the right of the decimal point (e. G. 5. 374); do not write any units
The potential difference induced in the rod is approximately -6.912 v. In general, the potential energy of an object is equal to the work done to move the object to its current position, against the forces acting on it.
Potential energy is a form of energy that an object possesses due to its position in a gravitational field or due to its configuration. It is the energy that an object has due to its position in a system, rather than its motion.
The potential difference induced in the rod is given by Faraday's law of electromagnetic induction:
ΔV = -(BLv)
where B is the magnetic flux density, L is the length of the rod, and v is the speed at which the rod moves through the magnetic field.
Plugging in the given values, we have:
ΔV = -(340 g * 48 cm * 13 m/s)
Converting the length to meters and the magnetic flux density to teslas, we have:
ΔV = -(0.34 T * 0.48 m * 13 m/s)
= -6.912 v
So the potential difference induced in the rod is approximately -6.912 v.
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The curved rod has a radius of 5 ft. If a force of 60 lb acts at its end as shown, determine the moment of this force about point C.
The moment of this force about point C is 267.7lb.ft
According to the information provided in the aforementioned query,
The provided data are,
A curved rod has a radius of 5 feet.
The force act on the end of a curved rod is 60lb.
We have to determine the moment of this force about point C?
Position vector from C to A is;
[tex]& \vec{r}_{C A}=\vec{r}_A-\vec{r}_C[/tex]
Substitute the value in above we get,
[tex]& \Rightarrow \vec{r}_{C A}=\left(5 \sin 60^{\circ} \hat{j}+5 \cos 60^{\circ} \hat{k}\right)-(5 \hat{k}) \\& \Rightarrow \vec{r}_{C A}=4.33 \hat{j}-2.5 \hat{k}[/tex]
Position vector from A to B is;
[tex]& \vec{r}_{A B}=\vec{r}_B-\vec{r}_A[/tex]
Substitute the value in above we get,
[tex]& \Rightarrow \vec{r}_{A B}=(7 \hat{i}+7 \hat{j})-\left(5 \sin 60^{\circ} \hat{j}+5 \cos 60^{\circ} \hat{k}\right) \\& \Rightarrow \vec{r}_{A B}=7 \hat{i}+2.67 \hat{j}-2.5 \hat{k}[/tex]
Force in vector form;
[tex]& \vec{F}=(F)\left[\frac{\vec{r}_{A B}}{\left|r_{A B}\right|}\right][/tex]
Substitute the value in above we get,
[tex]& \Rightarrow \vec{F}=(60)\left[\frac{7 \hat{i}+2.67 \hat{j}-2.5 \hat{k}}{\sqrt{7^2+2.67^2+2.5^2}}\right] \\& \Rightarrow \vec{F}=53.178 \hat{i}+20.284 \hat{j}-18.992 \hat{k}[/tex]
Moment about C will be;
[tex]& \vec{M}_C=\vec{r}_{C A} \times \vec{F}[/tex]
Substitute the value in above we get,
[tex]& \Rightarrow \vec{M}_C=\left|\begin{array}{ccc}\hat{i} & \hat{j} & \hat{k} \\0 & 4.33 & -2.5 \\53.178 & 20.284 & -18.992\end{array}\right| \\& \Rightarrow \vec{M}_C=-\mathbf{3 1 . 5} \hat{\mathbf{i}}-\mathbf{1 3 2 . 9} \hat{\mathbf{j}}-\mathbf{2 3 0 . 3 \hat { \mathbf { k } }}[/tex]
Therefore the Magnitude will be;
[tex]& M_C=\sqrt{(-31.5)^2+(-132.9)^2+(-230.3)^2} \\& \Rightarrow M_C=\mathbf{2 6 7 . 7} \mathrm{lb.ft}[/tex]
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Note:- The correct question would be as bellow.
The curved rod has a radius of 5 ft. If a force of 60 lb acts at its end as shown, determine the moment of this force about point C.
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 100N.
Describe Newton's third law of motion.According to Newton's third law of motion, every action has an equal and opposite reaction. In other words, both an action and a reaction are equal and opposed.
The Newton's third is defined mathematically as;
Fa = Fb
where;
Fa is the applied force.
Fb is the response that the object goes through.
The reaction of the object, or the upward force exerted on the child by the object, is 100 N in the opposite direction if the child applies 100 N of force to the object.
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sn]]a dentist's drill accelerates from rest at 770 rad/s2 for 2.01 s. during its angular acceleration, how many revolutions has the drill turned?
The 14976.31 revolutions has the drill turned.
What is acceleration?
The rate of change in velocity is known as acceleration. Acceleration typically signals a change in speed, though this is not always the case. Because of the shifting direction of its velocity, an item moving on a circular path at a constant speed is still accelerating.
What is revolutions ?
When two objects orbit one other, there is a revolution. For instance, once every month, the Moon makes its way around the Earth.
Drill is initially rest ( w₀) = 0
Angular velocity = 814 rad/ s²
time = 4.84 sec
Equation of motion
Ф= w₀t ∝ 1/2∝ t²
where,
∝ = angular acceleration
we want to find no. of revolution which is write as
no.of radiation = distance travelled / 2π
Ф= (0) ( 4.84) + 1/2 (814) ( 4.84)²= 0+ ( 407) (4.84)²
n= Ф/ 2π = 1534.2192/ 2π= 14916.31
n= 14976.31
Therefore, 14976.31 revolutions has the drill turned.
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Do all waves have a backs and fourth pattern of motion
Yes all waves have the back and forth pattern of motion.
What are waves?A wave is described as a propagating dynamic disturbance of one or more quantities that can be periodic, in which case those quantities oscillate repeatedly about an equilibrium value at some frequency.
Waves come in major types which are :
longitudinal waves transverse waves.Transverse waves are like those on water, with the surface going up and down, and longitudinal waves are like of those of sound, consisting of alternating compressions and rarefactions in a medium.
All types of waves have the same fundamental properties of reflection, refraction, diffraction and interference, and all waves have a wavelength, frequency, speed and amplitude.
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a 10 kg mass is given an initial speed of 10 m/s up a 30o incline plane with coefficient of friction 0.50. calculate the maximum distance it moves up the incline plane.
The maximum distance it moves up the incline plane is 5.47m.
Maximum distance, velocity of mass v = 0
Final kinetic energy, Kf = 1/2 m[tex]v^{2}[/tex] = 1/2 × 10 ×[tex]10^{2}[/tex] = 500j
W = ΔK = Kf - Ki
-mgdcosθμ - mgsinθd = 0 - 500j
mgd(μcosθ + sinθ) = 500j
d = 5.47m
Regardless of the starting or ending point, distance can be defined as the amount of space an object has covered. How much ground an object has covered while moving is referred to as the scalar quantity known as distance. It is the object's overall change in position, or "how far out of place an object is," that is described by the vector quantity displacement. An object's total path traveled can be used to measure distance. As an illustration. The total distance covered by an automobile is 13 km if it drives 5 km east, 8 km north, and then back again.
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a man 1.9 m tall is standing 4.0 m from the edge of the barn. will he be hit by the snowball?
The man will not be hit by the snowball as it passes well above him without touching him.
(a) The length of time in the air is determined by vertical motion.
ax = 0
ay = 9.8 m/s²
vx = v₀ cosθ₀ = 7 cos 40° = 5.36 m/s
vy = v₀ sinθ₀ = 4.5 m/s
Distance from the ground is given as s = 14 m, so,
14 = 4.5 t + (1/2 × 9.8 × t²)
4.9 t² + 4.5 t - 14 = 0
The positive root of t = 1.29 s
The horizontal distance, vx t + (1/2 × ax × t²) = 6.91 m
(b) We know, x - x₀ = vx t + (1/2 × ax × t²)
As ax = 0,
t = (x - x₀)/vx = 4/5.36 = 0.746 s
During this time, the snowball travels a horizontal distance
y - y₀ = vy t + (1/2 × ay × t²) = 6.08 m
Hence, 14 - 6.08 = 7.9 m above the ground and the snowball passes above the man without hitting him.
The question is incomplete. The complete question is '(a) A snowball rolls off a barn roof that slopes downward at an angle of 40°. The edge of the roof is 14.0 m above the ground and the snowball has a speed of 7.00 m/s as it rolls off the roof. How far from the edge of the barn does the snowball strike the ground if it doesn't strike anything else while falling?
(b) A man 1.9 m tall is standing 4.0 m from the edge of the barn. Will he be hit by the snowball?'
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ssm what is the spring constant of a spring that stores 25 j of elastic potential energy when compressed by 7.5 cm?
The spring constant for a spring that can store 25J of elastic potential energy when compressed by 7.5 cm is 8.9*10³ N/m.
given,
energy stored in the spring = E = 25J
compressed distance = x = 7.5cm = 0.075m
E = 1/2 * kx²
K = 2E/x²
= 8.9*10³ N/m
The energy that an item retains due to its position in relation to other objects, internal tensions, electric charge, or other reasons is known as potential energy in physics.
Potential energy can take many different forms. Some examples are an object's gravitational potential energy, the elastic potential energy of a stretched spring, and the electric potential energy of an electric charge in an electric field. The joule, denoted by the letter J in the International System of Units (SI), is the unit of energy.
Although it has connections to the Greek philosopher Aristotle's concept of potentiality, the word "potential energy" was first used in the 19th century by the Scottish engineer and scientist William Rankine.
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what is the approximate value of tc for an ideal bose gas at a density of 125 kg/m3, the density of liquid 4he? take m
The approximate value of tc for an ideal bose gas at a density of 125 kg/m3 is 8.3 * 10¹⁹ K
[tex]P_{c} = \frac{2mkt^{3/2} }{4 pi h^{2} } * (2.612)\frac{\sqrt{pi} }{2}[/tex]
[tex]125 kg/m^{3} = \frac{2(6.65*10^{-24})(1.38*10^{-23})^{3/2} }{4pi^{2}(1.05*10^{-34}} *(2.612)\ \frac{sqrt{pi}}{2}[/tex]
Tc = 8.3 * 10¹⁹ K
The substance's mass per unit of volume is its density (also known as specific mass or volumetric mass density). The Latin letter D can also be used to represent density, however the most common sign is (the lower case Greek letter rho). Mass divided by volume is the definition of density in mathematics, where is the density, m is the mass, and V is the volume. Density is sometimes loosely described as weight per unit volume, although this definition is incorrect technically; the term "specific weight" is more appropriate. An example of this is in the US oil and gas business.
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what happens to the volume of a marshmallow when you squeeze it? group of answer choices increases decreases remains constant
When you squeeze marshmallow its volume decreases.
Mass remains constant
ρ = m/v ,So density increases as volume decreases.
The amount of three-dimensional space that is occupied is measured by volume. [1] It is frequently measured quantitatively using SI-derived units (such the cubic meter and litre) or by other imperial or US-standard units. Volume and length (cubed) are related concepts. The volume of a container is typically understood to be the capacity of the container, i.e., the amount of fluid (gas or liquid) that the container might store, rather than. the amount of space. the container. itself occupies.
Volume was first determined using naturally occurring vessels of a comparable shape and later with standardized containers. Arithmetic formulas make it simple to determine the volume of several straightforward three-dimensional shapes. Integral calculus can be used to determine the volumes of more complex shapes.
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apid change of a magnetic field induces a. a magnetic field of greater magnitude. b. a magnetic field of the same magnitude. c. an electric field. d. nothing.
Faraday is credited with discovering that a fluctuating magnetic field causes a current to flow.
According to Faraday's Law, a current whose magnitude depends on the rate of change of the magnetic field will flow when the strength of a magnetic field changes within a loop of wire. A shifting magnetic field causes an induced current. The induced current is accompanied by an induced emf. Without a battery in the circuit, a current can be generated. The induced emf can be described using Faraday's law of induction. According to Faraday's law, an electromotive force is created when the magnetic flux or magnetic field varies over time.
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A car and a truck traveling in opposite directions left washington, d. C. The car traveled 19 miles per hour faster than the truck, and at the end of 8 hours the vehicles were 1448 miles apart. What was the average speed of each vehicle?.
The car traveled at an average speed of 97 miles per hour and the truck traveled at an average speed of 78 miles per hour.
What is average speed?Average speed is a measure of the distance traveled over time, or the rate at which someone or something is moving. It is calculated by dividing the total distance traveled by the total amount of time it took to travel that distance. For example, if a person runs one mile in five minutes, their average speed is 12 miles per hour (mph).
To calculate this, we must use the equation:
Distance = Rate x Time
For the car: 1448 = (97 + 19) x 8
For the truck: 1448 = (78 - 19) x 8
Therefore, the car traveled at an average speed of 97 mph and the truck traveled at an average speed of 78 mph.
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what is the energy required to change the temperature of 3 kg of water from 26 oc to 64 oc? remember, that the specific heat 4186 j/kgc. answer only in numbers to the nearest whole number.
The energy required to change the temperature from 26°C to 64°C is 47500 J.
Heat is a form of energy that can be transferred from one object to another due to different temperatures.
The heat required to raise the temperature is expressed by the equation:
Q = m.c.ΔT
Q: Heat (Joules)
m: mass (kg)
ΔT: temperature change (°C)
c: specific heat (J/kg°C)
In the given question mass are 3 kg and the temperature change from 26°C to 64°C. (the specific heat is 4186 J/kg°C)
Q = m.c.ΔT
Q = 3 x 4186 x (64°C - 26°C)
Q = 12588 x 38°C
Q = 47720 J ≈ 47500 J
So, the energy required to change the temperature is 47500 J.
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a mouse in a maze scurries 41 cm south and then takes a 90-degree turn and scurries 64 cm west to get a piece of cheese. find the mouse's displacement.
Answer:
76 cm southwest
Explanation:
The displacement of the mouse is 76.01 cm along south-west at an angle 57.35° with south direction.
What is displacement?In mechanics, displacement refers to the distance that a particle or body moves in a particular direction. Generally, point masses are used to describe particles and bodies. This means that, without sacrificing generality, bodies can be thought of as having all of their mass concentrated in a single mathematical point.
The mouse scurries 41 cm south and then takes a 90-degree turn and scurries 64 cm west.
Hence, magnitude of resultant displacement = √( 41² + 64²) cm = 76.01 cm.
The direction of displacement is along south-west with an angle with south direction= tan⁻¹(64/41) = 57.35°.
Hence, the displacement of the mouse is 76.01 cm along south-west at an angle 57.35° with south direction.
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A wire can be broken by applying load of 200N. The force required to break another wire of the same length and same material, but double in diameter is
The force needed to break another wire of the same length and material but twice the diameter is 200N.
Because the wires are made of the same material, their modulus of elasticity must be the same.
As a result, the ratio of longitudinal stress to longitudinal strain (Young's Modulus of Elasticity) must be the same. Now, the strains in both wires must be the same before they break.
Therefore,
stress = Young's modulus × strain,
both wires must be the same.
Because the second wire has a diameter twice that of the first, its area of cross section is four times that of the first. As a result, in order to generate the same stress, the force applied to the second wire must be four times that applied to the first wire.(since stress = force/cross section area).
Thus, the force required to break the second wire is 4200=800N.
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i need the answer for this one
Answer:
120 N.
Explanation:
This can be calculated using Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma).
In this case, the mass of the object is 60 kg, and its acceleration is 2 m/s^2. so,the net force acting on the object is 60 kg * 2 m/s^2 = 120 N.
When nitrogen and hydrogen gas combine to make ammonia, the chemical equation looks like this:
2N2 + 3H2 => 2NH3
If the hydration energy of 2N2 + 3H2 is equal to + 2251.3 kJ/mol and the lattice energy of 2NH3 is equal to -2343.52 kJ/mol, what is the total energy change of this reaction and is the reaction endothermic or exothermic?
Specific heat capacity of a substance is the amount of heat required to raise the temperature by one degree Celsius of one gram of a substance. Therefore, the total energy change of this reaction is -4,594.82 kJ/mol and reaction is exothermic reaction.
What is Enthalpy?Enthalpy term is basically used in thermodynamics to show the overall energy that a matter have. Mathematically, Enthalpy is directly proportional to specific heat capacity of a substances.
ΔH = Hp - Hr
Hp = energy of the product or lattice energy = -2343.52 kJ/mol
Hr = energy of the reactant or hydration energy= 2251.3 kJ/mol
substituting all the given values in the above equation, we get
ΔH = -2343.52 kJ/mol - 2251.3 kJ
ΔH = -4,594.82 kJ/mol
Since the sing of energy is negative, so reaction is exothermic reaction.
Therefore, the total energy change of this reaction is -4,594.82 kJ/mol and reaction is exothermic reaction.
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A dog sits 1.50 m from the center of a merry-go-round and revolves at a tangential speed of 1.80 m/s. If the dog’s mass is 18.5 kg, what is the magnitude of the centripetal force on the dog?
Answer: Fc = 39.96 N
Explanation:
Fc = (mv^2)/r
Fc = (18.5 kg * (1.80 m/s)^2)/(1.50 m)
Fc = 39.96 N
ta photon absorbed by an electron will give up more energy to the electron if the photon.A. TrueB. False
If a photon's frequency is greater when it is absorbed by an electron, the electron will gain more energy.
Is an electron a photon?Two fundamental quantum-mechanical particles, photons and electrons, have entirely distinct characteristics. The e is an elementary particle found in every atom, whereas the photon is a sort of subatomic particle that serves as an energy carrier.
A photon—is it only light?The basic unit of light would be both commonplace and surprising. Others may just refer to what scientists refer to that as photons as light. Particles are the tiniest electro magnetism packets known as quanta of light.
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question 6 a 5 m chain with density 2 kg/m hangs off the roof of a building. how much work is required to pull the chain to the roof?
A 5 m chain with density 2 kg/m hangs off the roof of a building. 10 joules work is required to pull the chain to the roof.
The lowest amount of thermodynamic work, or energy, required to transfer an electron from a solid to a point in the vacuum immediately outside the solid surface is known as the work function (sometimes spelled workfunction). Here, the term "immediately" refers to a final electron position that is, on an atomic scale, far from the surface but still too close to the solid to be affected by ambient electric fields in the vacuum. The work function is a property of the material's surface rather than a characteristic of the substance in its bulk (depending on crystal face and contamination). When two dissimilar conductors are in complete equilibrium with one another, the space between them will have an embedded electric field due to the fact that relies on the material surface (electrically shorted to each other, and with equal temperatures). The work function refers to moving an electron many nanometers away from the surface so that the force between the electron and the surface's image charge may be disregarded. The electron must also be close to the surface in relation to any change in the surface structure, such as a change in the material composition, a surface coating, or a reconstruction, as well as the closest edge of a crystal facet.
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In the original Milgram study, what percentage of participants displayed complete compliance, administering shocks of 450 volts ____ that they believed were lethal.
In the original Milgram study, what percentage of participants displayed complete compliance, administering shocks of 450 volts About 40% that they believed were lethal.
Overview on original Milgram studyThe Milgram experiment(s) on conformity to authoritative persons were a series of social psychology research carried out by Yale University psychologist Stanley Milgram. The willingness of 40 research participants, males from various occupations and educational levels, to follow orders from an authority figure that conflicted with their own moral values was examined.
The volunteers were led to believe that they were taking part in a different experiment in which they had to administer electric shocks to a "learner." If these electric shocks had been real, they would have increased over time to lethal levels.
Unexpectedly, the experiment revealed that a very high percentage of the lab rats would fully comply with the instructions, with every person reaching 300 volts and 65% reaching the full 450 volts.
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The electric potential along the x-axis is V=100e?2x/mV, where x is in meters.Part AWhat is Ex at x=1.0m?Express your answer as an integer and include the appropriate units.
27.23 V/m it the electric field strength at a distance 1.0m from origin in x direction.
given V=100[tex]e^-^2^x[/tex]
What is electric field?The physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them, is known as an electric field (or E-field).
formula of electric field in term of electric potential is given by:
[tex]E_x[/tex] = [tex]-\frac{dV}{dx}[/tex]
=> - d(100[tex]e^-^2^x[/tex] )/dx
=>200[tex]e^-^2^x[/tex]
so [tex]E_x=[/tex] 200[tex]e^-^2^x[/tex] ----- (i)
now we have to find electric field strength at point x=1m
so putting the value of x in in equation (i) we get
[tex]E_x=[/tex] 200[tex]e^-^2[/tex]
=> 200/(2.71*2.71)
=>27.23
so electric field strength at point x=1 is 27.23 V/m
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an alpha particle is to be taken apart in the following steps. give the energy (work) required for each step: (a) remove a proton, (b) remove a neutron, and (c) separate the remaining proton and neutron.
Two protons and two neutrons are securely linked together to form composite particles known as alpha particles.
What are Mcq's alpha particles?An elementary particle is a He nucleus, which consists of two protons and two neutrons. A particle with two protons has two units of charge. Four mass units of a particle are equal to two protons and two neutrons. As a result, 4He2 is the symbol for a particle.
How many protons and electrons are present in each alpha particle?Since an alpha particle is the same as a helium atom that has had its two electrons removed, it has two protons and two neutrons. No electrons are present in an alpha particle, hence the two protons' positive charge cannot be balanced.
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A vector has initial point at (3, –5) and terminal point at (–2, 3). what are the characteristics of this vector? the magnitude is startroot 13 endroot, and the direction angle is about 58°. the magnitude is startroot 13 endroot, and the direction angle is about 122°. the magnitude is startroot 89 endroot, and the direction angle is about 58°. the magnitude is startroot 89 endroot, and the direction angle is about 122°.
The magnitude of this vector is 9.43 and the direction angle of the vector is 58°.
The initial point and the terminal point of the vectors are (3 - 5) and (-2, 3) respectively.
The characteristics of the vector mainly includes the magnitude and the direction of the angle of the vector.
The magnitude of this vector will be given by,
M = √((-2-3)²+(3+5)²)
M = √(25+64)
M = √89
M = 9.43
The direction angle of this vector with the x-axis will be given by,
Tan A = (8/-5)
Tan A = -1.6
A = 58°.
The direction angle of this vector is 58 degree.
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Answer: D. The magnitude is StartRoot 89 EndRoot, and the direction angle is about 122°.
Explanation:
A bicyclist increases her speed from 4. 0 m/s to 6. 0 m/s. The combined mass of the bicyclist and the bicycle is 55 kg. How much work did the bicyclist do in increasing her speed?.
The kinetic energy of the horse and rider is equal to 1/2 (mass)(speed)2. 440 joules are equal to KE = 1/2 (55 kg) (4 m/s) at 4.0 m/s. KE = 1/2 (55 kg) (6 m/s) at a speed of 6.0 m/s. 2, or 990 joules. She added 550 joules to her own and her vehicle's kinetic energy.
In Example, what is mass?The proportion of substances involved in any item and body serves as the most accurate definition of weight. We see mass in everything around us. Taking a table, chair, your bed, a football, and a glass as examples.
In simple form, what is mass?The quantity of matter or other constituents that make up an item is its mass. It is measured in kilograms, which can be shortened to kg. It's critical to keep in mind that mass and weight are two distinct concepts.
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For the circuit of Fig.30.17 in the textbook, let C = 12.0nF , L = 23.0mH , and R = 78.0? .
Part A
Calculate the oscillation frequency of the circuit once the capacitor has been charged and the switch has been connected to point a
Part B
How long will it take for the amplitude of the oscillation to decay to 10.0% of its original value?
Part C
What value of R would result in a critically damped circuit?
Part A
The oscillation frequency of the circuit after the capacitor is charged and the switch is connected to point a:
given:
C = 12.0 nF = 12 x 10⁻⁹ F
L = 23.0mH = 2,3 x 10⁻² H
R = 78.0
f = ω/2π
Where ω is the corner frequency of the circuit and is given as:
ω = [tex]\sqrt{\frac{1}{LC} - \frac{R^2}{4L^2} }[/tex]
ω = [tex]\sqrt{\frac{1}{(12x10^{9-})(2.3 x 10^{-2})} - \frac{78^2}{4 (23x10^{-2})^2} }[/tex]
ω = [tex]\sqrt{\frac{1}{276 x 10^{-12}} -\frac{6084}{4761 x10^6} }[/tex]
ω = [tex]\sqrt{3.6 x 10^9 - 2.8 x 10^6}[/tex]
ω = 5.99 x 10⁴
f = ω/2π
f = 5.99 x 10⁴/2(3.14)
f = 0,9545 x 10⁴
f = 9545 Hz
So, the frequency of the circuit is 9545 Hz
Part B
The amplitude of the circuit can be expressed as a function of time, and it is expressed in the form.
A(t)= A₀e[tex]__{-Rt/2L}[/tex]
Here, A₀ is the amplitude when time, t = 0, we need to find the time it takes the oscillation to damp into 10%.
A(t) = 10%A = 0.10
0.1A₀ = A₀e[tex]__{-Rt/2L}[/tex]
0.1 = e[tex]__{-Rt/2L}[/tex]
Taking natural log on both sides and rearranging the variables, we get
t = -2LIn(0.1)/R
t = -2(2,3 x 10⁻²)(-2.3)/78.0
t = 1.35 x 10⁻³ s
So, the time taken for the oscillation to damp to 10% is 1.35 s
Part C
The critical damping of the circuit occurs when
R² = 4L/C
R = [tex]\sqrt{\frac{4L}{C} }[/tex]
R = 2768.87 Ω
So, the critical damping occurs for R = 2768.87 Ω
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Which one of the following is true, according to Newton’s laws of motion? Ignore friction.A. A sports utility vehicle (SUV) hits a stationary motorcycle. Since it is stationary, the motorcycle sustains a greater force than the SUV does.B. A semitrailer truck crashes all the way through a wall. Since the wall collapses, the wall sustains a greater force than the truck does.C. Sam (18 years old) and his sister (9 years old) go ice skating. They push off against each other and fly apart. Sam flies off with the greater acceleration.D. Two astronauts on a space walk are throwing a ball back and forth between each other. In this game of catch the distance between them remains constant.E. None of the above is true, according to the third law.
Option A is a true. An SUV strikes a motorcycle that is standing still. The motorcycle can withstand more force than the SUV since it is stationary.
Every time one object applies force to another, the other object applies an equal and opposing force to the first. His third law argues that there is an equal and opposite reaction to every action (force) in nature. If you push a truck and a vehicle with the same amount of effort, the car will accelerate faster than the truck since it is lighter. Due to the full shopping cart's greater bulk compared to the empty one, it is simpler to push one than the other.
In the early stages of having enough grip, engineers frequently discuss "power to weight ratio" because this impacts acceleration. Since it takes longer (more time) to accelerate a heavier car with the same amount of power to go the same distance, more fuel is consumed.
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determine the shear v at a section b between a and c and the moment m at the support a.
The shear force V at A is 7.21 kN, between A and C is 4.01 kN, and the moment M at the support A is -7.22 kN.m
Consider forces acting along y direction:
∑Fy = 0
Ra + Rc = 1.4 + 1.8 .... equation (1)
Take a moment of A ie:
∑Ma = 0
1.4 x 3.1 + 1.8 x 1.6 + 1.8 + Rc = 0
Rc = 4.01kN (left direction)
From equation (1)
Ra + Rc = 1.4 + 1.8
Ra - 4.01kN = 1.4 + 1.8
Ra = 1.4 + 1.8 + 4.01
Ra = 7.21 kN
Consider free body diagram of portion BC: (see in the picture)
Shear force calculation:
Vb= 4.01kN
Consider free body diagram of portion AC:(see in the picture)
Taking a moment of A ie..
∑Ma = 0
Ma + 4.01 x 1.8 = 0
Ma + 7.22kN.m = 0
Ma = -7.22kN.m
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in which substance in the table does the speed of light have the value 2.292×108m/s?
The speed of light in ice at 20°C has the value 2.92 × 10⁸ m/s.
We know the expression for refractive index of a medium as,
Refractive index n = velocity of light in vacuum / velocity of light in a medium
It does not have units as it is a ratio.
Given that,
Velocity of light in a medium is 2.92 × 10⁸ m/s.
We know the speed of light in vacuum is 3 × 10⁸ m/s.
The refractive index n = (3 × 10⁸)/(2.92 × 10⁸) = 1.31
The substance with the refractive index 1.31 is ice at 20°C.
Thus, the required substance is ice.
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