Answer:
[tex]Q_t= 8.3 * 10^3 C[/tex]
Explanation:
From the question we are told that:
Resistor [tex]R=1000ohms[/tex]
Voltage [tex]v=120_V[/tex]
Capacitance of c_1 [tex]c_1=20 \mu F[/tex]
Capacitance of c_2 [tex]c_2=60 \mu F[/tex]
Time [tex]t=0[/tex]
Generally the equation for charges is mathematically given by
[tex]For C_1\\Charge\ on\ C_1 = CV = 20*120 = 2400 μC = 2.4 x 10^-3 C\\Charge\ on\ C_1 = 2400 μC = 2.4 x 10^-3 C\\Charge\ on\ C_1 = 2.4 x 10^-3 C\\[/tex]
[tex]ForC_2\\Charge on C_2 = 60*120 =7200 μC = 7.2 x 10^-3\\Charge on C_2 = 7.2 x 10^-3[/tex]
Generally the equation for voltage across capacitors is mathematically given by
[tex]V_c(t)=V(1-e^{-t/RC})[/tex]
[tex]C=C_1+C_2=80 \mu f\\t=2RC=>160000s[/tex]
[tex]V_c(t)=120(1-e^{-(160000)/1000*(80)})[/tex]
[tex]V_c(t)=103.7598[/tex]
Generally the equation for charges is mathematically given by
[tex]Q1(t) = C1Vc(t)\\Q1(t) = 20*103.7598\\Q1(t) = 2075.196\\\\Q2(t) = 60*103.7598\\Q2(t) = 6225.6\\[/tex]
Generally the equation for total charges [tex]Q_t[/tex] is mathematically given by
[tex]Q_t=Q1(t)+Q2(t)[/tex]
[tex]Q_t= 8.3 * 10^3 C[/tex]
a man seeking to set a world record wants to tow a 118,000-kg airplane along a runway by pulling horizontally on a cable attached to the airplane. the mass of the man is 93 kg, and the coefficient of static friction between his shoes and the runway is 0.79. what is the greatest acceleration the man can give the airplane? assume that the airplane is on wheels that turn without any frictional resistance.
The greatest acceleration the man can give the airplane is 6.102*10^-3 m/s^2
What is a frictional force ?
The force produced when two surfaces slide past one another and make contact is known as frictional force. The surface texture of these forces and the amount of force pressing them together have the biggest impact.
Mass of the person
m1 = 93kg
Mass of the air plane
m2 = 118000 kg
Coefficient of static friction between the shoes of the person and floor
μs=0.79
Acceleration due to gravity
g=9.8m/s^2
The maximum force the person can apply on the floor is equal to his weight
F = w = m1∗g
= 93∗9.8=911.4 N
The maximum frictional force he can get from the floor is the product of coefficient of static friction and normal reaction
Ff = μs∗N
= μs∗W
= 0.79 ∗ 911.4 = 720 N
Let's assume that the individual is able to use or apply the entire frictional force in pushing the airplane.
Following that, the relationship can be used to determine the acceleration an air plane created.
Ff = m2 * a
a = Ff/m2
= 720/118000
= 6.102*10^-3 m/s^2
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Consider the fictional case of the incredible shrinking man. if he shrinks proportionately to 1/10 his original height, his weight will be multiplied by question? 0.1 0.001 0.0001 0.01
The final weight will be reduced by 0.1 of its original weight.
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
A mathematical expression is made up of terms(constants and variables) separated by mathematical operators.
A mathematical equation is used to equate two expressions.
Given that, fictional shrinking man shrinks proportionately to 1/10 th of his original height.
Let, weight be W.
W = mg
m = ρ V
Then W = ρ V g
Assume the body to be cylinder of radius r and height h, we can write,
W = π r²ρ g h
So, the initial weight is W = π r²ρ g h
After shrinking W becomes W'.
W' = π r²ρ g h/10
Then, W'/W = (π r²ρ g h/10)/π r²ρ g h = 0.1
Thus, the final weight will be reduced by 0.1 of its original weight.
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Problem 5: Consider the circuit diagram depicted in the figure 0.5 Ω R2 2.5 Ω /2 R 1.5Ω 0.5 Ω 50% Part (a) what equation do you get when you apply the loop rule to the loop abcdergha, in terms of the variables in the figure? Grade= 100% Correct Answer Student Final Submission Feedback Correct! 012 R2+ 112 T3 R3 +32-62 0- 1-(Ti +R2) I2+(R3r2)13 2 Grade Summary Deduction for Final Submissi Deductions for Incorrect Submissions, Hints and Feedback [?] Student Grade-100-0-0-100% 0% 0% on Submission History All Date times are displayed in Central Standard Time Red submission date times indicate late work. Date Time 9:25 PM Answer Hints Feedback 1 Oct 29,2018 0- 1-(Ti +R2) I2+(R3r2)13 2 50% Part (b) If the current through the top branch is 12-0.505 A, what is the current through the bottom, 13, in amps?
Part(a) The equation for the loop is 0 −1−(R1 +R2)I2+(R3+R2)I3=0
Part(b) The current through the bottom branch 13 is 0.75 A.
(a) This equation is found by applying the loop rule, which states that the sum of voltage drops around a loop is equal to zero. To find the equation, we start at the point, and move clockwise around the loop. At each point, we add the voltage drop of the component connected between that point and the previous point. We then substitute the component values into the equation.
For example, the voltage drop across R1 is equal to I2 * R1. In this equation, I2 and I3 are the currents through R2 and R3 respectively.
(b) To calculate this, we need to use Ohm's Law, which states that the voltage across a resistor is equal to the current through the resistor multiplied by the resistance.
First, we need to calculate the total resistance of the circuit.
R total = R_1 + (1/2)*R_2 + R_3
= 0.5 + (1/2)*2.5 + 0.5
= 2.5 Ω
Now, we can use Ohm's Law to calculate the current through the bottom branch.
I 13 = V/R
= (12-0.5)/2.5
= 0.75 A
Therefore, the current through the bottom branch 13 is 0.75 A.
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What type of metamorphosis do hive beetles undergo?a. completeb. incompletec. mesocomplete
Insects can change gradually through progressive metamorphosis or completely through total metamorphosis.
Some insects, including beetles, ants, bees, wasps, butterflies, moths, and bees, develop through a special life cycle known as full metamorphosis. Egg, larva, pupa, and adult are the four separate phases of complete metamorphosis. One type of insect that undergoes complete metamorphosis is the beetle, which includes ladybugs. Butterflies and flies are two examples of common and recognised insects that undergo complete metamorphosis. Beetles, bees, wasps, ants, and fleas are among other insects that undergo complete metamorphosis. Termites, praying mantises, and cockroaches all go through partial metamorphosis. Ants, fleas, and wasps all go through a full metamorphosis. Complete metamorphosis is finally distinguished from other types of growth by the several stages that are produced with each
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What is the equation that shows the inverse relationship between wavelength and frequency?
Answer:
V = f * λ velocity equals frequency * wavelength
If f is increased then λ must decrease for the velocity to remain constant.
in the double-slit experiment with electrons, suppose that the observer uses a detector to determine through which slit the electron actually passes. does this affect the outcome of the experiment, and why or why not?
No matter the detector, the pattern on the screen is still non-interference.
In the double-slit experiment, how does the detector operate?In the double-double slit experiment, photons are momentum entangled and can share information about each other's which-slit paths if one of them is found near any double slit. If a single slit of a double-slit is blocked, it is possible to determine the which-slit path from the simultaneous photon detection.
What impact does observation have on the double-slit test?In quantum physics, the double-slit experiment serves as a prominent illustration of the observer effect. The measured outcomes of this experiment can alter if quantum phenomena are observed, according to physicists.
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What is the approximate wavelength range of thermal radiation Mcq?
Thermal radiation has a wavelength range of 7700A to 4106A.A emission if electromagnetic waves by all stuff with a temperature greater that absolute zero is known as thermal radiation.
What roughly is the heat radiation wavelength range?Thermal electromagnetic radiation is radiation with wavelengths between 0.1 and 100 m that is emitted by all matter that is not at absolute zero.All of the infrared and visible spectrums, as well as some ultraviolet (UV), are included (IR).
What is the heat source's radiative energy's approximate wavelength?Thermal radiation, or radiation heat transfer, is defined as radiation having wavelengths between 0.1 and 100 m.The entire visible, infrared, and some ultraviolet spectrums are all included in thermal radiation.
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A ship's propeller of diameter 3 m makes 10.6 revolutions in 30
s. What is the angular velocity of the propeller?
a 90.0 rad/s
b 31.8 rad/s
c 2.22 rad/s
d 66.7 rad/s
Answer:
Approximately [tex]2.22\; {\rm rad\cdot s^{-1}}[/tex].
Explanation:
Each revolution increases the angular displacement of the propeller by [tex]2\,\pi[/tex] radians. Therefore, after [tex]10.6[/tex] revolutions, the angular displacement of the propeller will be [tex](10.6)\, (2\, \pi) = 21.2\,\pi[/tex] radians.
Divide angular displacement by the duration to find the angular velocity of this propeller:
[tex]\begin{aligned}\frac{21.2\, \pi\; {\rm rad}}{30\; {\rm s}} \approx 2.22\; {\rm rad\cdot s^{-1}} \end{aligned}[/tex].
a 3 * 10 to the power -3 kg copper penny drops a distance of 50 m to the ground. if 65 percent of the initial potentia energy goes into increasing the internal energy of the penny, determine the megnitude of that increase.
can some genius explain this to me please?
Explanation:
The magnitude of the increase is 0.9555J
Explanation
Potential Energy (PE) = mgh mass(m) = 3 * 10 ^ - 3 * kg
, acceleration due to gravity (g) = 9.8m / (s ^ 2) distance(h) = 50m PE = 3 * 10 ^ - 3 * 9.8 * 50 = 1.47J Increase in internal energy = 65% of 1.47J = 0.65 × 1.47J
= 0.9555J
What is the i in the Ohm's law?
What is needed in a market for a good to be considered elastic?
If the amount demand of a product changes more than proportionally as its price rises or falls, then it is said to be elastic.
How is a market made elastic?The more replacements there are for an item, more elastic the good is, according to definition of an elastic good, which is where change in price results in a large movement in demand. Price elasticity of demand is determined by dividing percentage change in quantity required by the percentage change in price.
Products like cars, appliances, and luxury items that are rarely purchased are examples of elastic commodities. In the event that the cost of these products is momentarily high, consumers may decide to put off buying.
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A square metal plate 0.180 m on each side is pivoted about an axis through point O at its center and perpendicular to the plate. (See the figure below (Figure 1) .)
Calculate the net torque about this axis due to the three forces shown in the figure if the magnitudes of the forces are F1 = 17.0 N, F2 = 27.0 N, and F3 = 13.0 N. The plate and all forces are in the plane of the page. (N.m)
the answer 1.73 is incorrect
The net torque to that axis due to three forces is 2.554 Nm.
How to calculate the net torque?[tex]F_1[/tex] = forces 1 = 17 N
[tex]F_2[/tex] = forces 2 = 27 N
[tex]F_3[/tex] = forces 3 = 13 N
α = side of metal plate = 0.18 m
Net torque can be calculated by multiple the forces by distance. For the question, the [tex]F_1[/tex] will be negative because the forces of [tex]F_3[/tex] will move the square metal plate to that side.
Net torque = [tex]-F_1\frac{a}{2} + F_2\frac{a}{2} + F_3 sin(45)\frac{a}{2} + F_3 cos(45)\frac{a}{2}[/tex]
= [tex]-17\frac{0.18}{2} + 27\frac{0.18}{2} + 13sin(45)\frac{0.18}{2} + 13 cos(45)\frac{0.18}{2}[/tex]
= -1.53 + 2.43 + 0.827 + 0.827
= 2.554 Nm.
Thus, the net torque for that three forces shown in the figure is 2.554 Nm.
You question is incomplete, but most probably your full question was
(image attached)
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under what conditions might a pilot expect the possibility of hydroplaning? a. when departing a grooved runway with less than a thousandth of an inch of water. b. when landing on a wet runway that is covered in rubber from previous landings. c. when the adiabatic lapse rate is high, and steam is rising from the landing surface.
When landing on a wet runway that is covered in rubber from previous landings.
What speed puts you in the greatest risk of hydroplaning?The majority of auto safety experts concur that hydroplaning would be most likely to happen at speeds greater than 35 mph.As soon when the first droplets land on your windshield, drastically reduce your speed.
Do heavier automobiles hydroplane more frequently?Vehicle weight: A vehicle has a greater tendency to hydroplane the lighter it is.Asphalt without grooves is more likely to hydroplane than concrete with ribs or grooves.
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10.A constant force is applied to a ball of mass m. The velocity of the ball changes from ν1 to ν2. The impulse received by the ball is
A. m(ν1 + ν2).
B. m(ν1 - ν2).
C. m(ν1^2 + ν2^2).
D. m(ν1^2 - ν2^2).
The velocity of the ball changes from ν₁ to ν₂ then the impulse received by the ball is m(ν₂ - ν₁).
What is impulse?Impulse received by the object can be described as the integral of a force over the time for which it acts. Impulse can be defined as also a vector quantity since the force is a vector parameter.
Impulse can be exerted on an object that produces an equivalent vector change in the linear momentum.
The S.I. unit of impulse can be denoted as N⋅s Newton second and the dimensionally unit of momentum is kg⋅m/s. A resultant force provides acceleration to the object and changes the velocity of an object for as long as it acts.
The change in the linear momentum of an object is equal to the impulse.
I = ΔP = m(ν₂ - ν₁).
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How do you solve a system of equations in Mathematica?
We first perform an algebraic solution to the equation before using N to obtain a numerical solution. Alternately, we might use NSolve to begin by numerically solving the equation.
What method of equation solving is the simplest?Systems of equations can be solved using one of three techniques: graphing, substitution, or elimination. To answer a problem by graphing, just plot the given equations on a graph and identify the point(s) where they all intersect.
System of differential equations can Wolfram solve?The differential equation solving functions of the Wolfram Language can be used to solve a wide variety of differential equation classes, automatically choosing the best techniques without user preprocessing.
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The half-life of a radioactive substance with the decay rate shown in the graph above is closest to
(A) 3 seconds
(B) 7 seconds
(C) 14 seconds
(D) 18 seconds
(E) 21 seconds
The half life of the sample is obtained as 21 seconds. Option E.
What is the half life?We know that the half life is the time that is taken for only half of the radioactive materials that was initially present to remain. We know that the material would have to be radioactive thus it would disintegrate as time passes.
Looking at the graph we can see that the half life can be traced from the graph that has been shown in the image that has been attached to this answer. The half life of the system is 21 seconds.
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astronomers detect a gas giant exoplanet orbiting its host star on an eccentric orbit with a semimajor axis of 100 au. this provides evidence for:
The detection of a gas giant exoplanet orbiting its host star on an eccentric orbit with a semimajor axis of 100 au (astronomical units) could provide evidence for a number of things, depending on the specifics of the system.
Here are a few possibilities:
The presence of a distant, unseen companion: If the gas giant's orbit is highly eccentric (meaning it is more oval-shaped than circular), this could indicate the presence of a companion object, such as another planet or a brown dwarf, that is gravitationally interacting with the gas giant and influencing its orbit.
The influence of other planets: If the gas giant is not the only planet in the system and there are other planets with more modest orbits, their combined gravitational influence could be shaping the gas giant's orbit.
The presence of a primordial disk: A gas giant orbiting at such a great distance from its host star could have formed in a primordial disk of gas and dust that surrounded the star in its early stages of development.
The presence of a "rogue" planet: It is also possible that the gas giant is a "rogue" planet, meaning it is not orbiting a star at all, but rather is floating freely through the galaxy. However, this is less likely given the presence of an eccentric orbit, which suggests the presence of a gravitational influence.
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if the fundamental frequency of a note is 200 hz, what is the frequency of the third harmonic?
The second harmonic f₂ is 400 Hz, the third harmonic f₃ is 600 Hz if the fundamental frequency is 200 Hz.
Only at precise vibrational frequencies, sometimes referred to as harmonic frequencies or simply harmonics, do these patterns emerge within the item or instrument. The ensuing disturbance of the medium at any frequency other than a harmonic frequency is erratic and non-repeating.
f₁ = 200hz
The lowest frequency of a periodic waveform is known as the fundamental frequency, also known as just the fundamental. The musical pitch of a note that is heard as the lowest partial existent in music is referred to as the fundamental. The fundamental frequency, or frequency of the difference between adjacent frequencies, in terms of a superposition of sinusoids is the lowest frequency sinusoidal in the total of harmonically linked frequencies. The fundamental, which denotes the lowest frequency counting from zero, is sometimes shortened as f₀. It is more typical to shorten it to f1, the first harmonic, in other instances. The zeroth harmonic in this situation would be 0 Hz.
Therefore, the second harmonic is f₂= 2f₁
f₂ = 2 *200hz = 400hz
f₃ = 3*200hz = 600hz
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1. How did the rock of the Great Plains and Rocky Mountains form?Choose the claim you can eliminate. ResponsesThey formed as one rock formation, and then something separated them.They formed as one rock formation, and then something separated them.One rock formation formed before the other. Then, the minerals from the older rock became part of the younger rock.One rock formation formed before the other. Then, the minerals from the older rock became part of the younger rock.3What do we still need to know in order to determine why the two rock formations have such similar minerals?Evidence Card E: Rocky Mountains. Photo of the Rocky Mountains. Observations: The large mountains have jagged tops. The chunks of rock vary in size. The rock appears to be light and dark gray. There is a forest at base of the mountains.Evidence Card C: Rock from the Rocky Mountains. Photo of a rose-colored rock with dark veins. Observations: The rock contains visible pink, dark gray, and light brown grains. The grains fit together. The grains have sharp edges. There are no bubbles or fossils in this sample.2Why can we eliminate the claim you selected?
Rocky Mountains and Great Plains rock came together to form one rock formation, but then something tore it apart. The first claim is true while the second claim needs to be eliminated
What are rocky mountains?It should be remembered that the Rocky Mountains and the Great Plains are two separate rock formations that did not form simultaneously. The older rock's minerals were not incorporated into the younger rock as a result.
After combining the rock from the Rocky Mountains and the Great Plains to form one formation, something tore it apart. As a result, the second claim must be rejected because it is false.
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What does the II next to an element mean?
The II next to elements represent the number of atoms which are joined together for forming a molecule.
The Roman numeral (II) if written next to an element then it denotes the oxidation state of the ion.
Let us assume that,
We need to represent the two atoms of an element Nitrogen, we can either denote it by writing NN or we can simply write N2.
Here 2 which is written in the subscript of an atoms denotes that for forming N2 two atoms of Nitrogens are used.
In some places, Roman numerals are also used.
In Chemistry Roman numerals like (I, II. III etc) are used for denoting the charge and the oxidation state of the transition metal ion.
Some common examples are Fe2+ and Fe3+.
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What produces radiogenic heat?
Answer:
Radioactive decay accounts for about half of the Earth's internal heat. Due to their enrichment compared with other radioactive isotopes, four radioactive isotopes mainly contribute to radiogenic heat: uranium-238 (238U), uranium-235 (235U), thorium-232 (232Th), and potassium-40 (40K).
What does solar and wind have in common?
In the field of renewable energy, wind and solar energy are major actors. They are free energy sources, limitless, and most of all, they reduce carbon emissions from fossil fuels.
How are wind and sun energy related?Wind energy is part of solar energy. The earth's atmosphere is heated by the sun, and wind is produced as a result of the earth's rotation around the sun. During the day, the air above the land warms up more quickly than the air above the sea.
Are solar and wind energy equivalent?Technically, wind energy is a type of solar energy. Hot air rises when the uneven surface of the Earth is heated by the sun's radiation, while cold air settles. The result of this difference in air pressure is wind, which is a kinetic (based on motion) source of energy. A windmill take hold of that kinetic energy.
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How did sonar change the world?
Sound Navigation and Ranging is referred to as SONAR. It is a method used to find things, navigate, or communicate below the surface of the water. It makes advantage of the Echo concept.
Why is sonar a valuable tool?
Sound waves are used by sonar to "see" in the water.
Sonar is mainly used by NOAA scientists to create nautical charts, find underwater navigational hazards, find and map things on the bottom like shipwrecks, and map the actual seafloor. Nearby objects that block the sound waves' passage cause them to reflect back off of them. The distance to the item is determined using the timing of the sound wave's transmission and reception, the speed of sound in water, the angle of the echo, and the change in frequency.
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Identify each attribute as belonging to either a primary or secondary group, keeping in mind Charles Horton Cooley's theory of groups. Primary Group(s) Drag appropriate answer(s) here high level of intimacy role play by members impersonal relationships instrumental in purpose + strong sense of unity and commitment Drag appropriate answer(s) here Secondary Group(s)
Primary groups: high degrees of dedication, togetherness, and intimacy. Typically huge, impersonal, and frequently including secondary groups
A secondary group is one based on shared goals or interests in which the members are infrequently, if ever, in face-to-face contact with each other, such as a club. A primary group is a small group based primarily on long-term face-to-face interaction and typically based on affiliation, such as a family or a friendship group. Primary groups, in Cooley's opinion, are the most important in our life. The main group is typically quite small and consists of people who interact face-to-face in emotional ways over an extended period of time. This group fulfils expressive rather than pragmatic requirements—emotional demands. A main group consists
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How do you find the gravitational force between two objects with the same mass?
The formulation for gravitational force does have the variables F, G, m1, m2, and r2.
The product of something like the gravitational constant as well as the masses of both the two items, divided with the square of such distance separating the two objects, would be the equation for the gravitational force among two things.
The formula is given as:
Force = (Multiplication of g, m ) / square of distance among both the objects.
= F = (G × M × m (mass)) / r²
where,
Force = F
Gravitational Constant = G
Mass of one object = M
Mass of another object = m
Distance = r
Since all of the items in this situation share the same mass, the gravitational force equation is,
F = (G X M X m(mass)) / r² (distance)
Gravitational force was the force utilized by the earth to pull an item toward it. Issacs Newton made the discovery after seeing an apple fall from either the tree.
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Where should you place the weight in the boat?
Making ensuring the weight is positioned above the boat's center of mass is important while loading them onto the boat.
The center of mass is a location within or outside of someone where we believe the entirety of the body's mass to be concentrated. We are aware that a boat will suffer an upward force equivalent to the mass of the fluid it is dislodging while it is hovering over it.
The likelihood of the boat being unbalanced is significantly decreased when the passengers or weight are positioned close to the center of mass of the boat.
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The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain river normally flows at a speed of 2 miles per hour. What must its speed be in order to transport particles that are 15 times as massive as usual? round your answer to the nearest hundredth.
Let m and s stand in for mass and speed, respectively. so that,
Its speed must therefore be around 6.58 miles per hour.
m = k
where k is the proportionality constant.
Speed equals 4 miles per hour for a specific river.
m = k
m = 1024k ............ 1
transporting particles with a mass 12 times greater than usual;
12m = k
m = ............. 2
Thus,
= 1024 k
= 12 x 1024
= 12288
12288
s = 6.5750
6.58 miles per hour is s.
Its speed must therefore be around 6.58 miles per hour.
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which of these is the correct answer
Answer:
Option A sponge because at the first sponge was not so heavy than other but when it was dipped in the bucket of water for 30 minutes it absorbed the water as it has many holes in it and the density of water is 1000Kg per metre cube the weight of water and sponge was high
How long will it take for a 40.0 gram sample of I 131 half-life 8.040 days to decay to 1 100 its original mass?
It will decompose to 1/100 of its initial mass in 53.4 days.
How long before half of a sample of 131i decays?A radioisotope with an 8-day half-life is iodine-131. By emitting beta particles, it decomposes into xenon-131. Any sample of iodine-131 will have lost half of its atoms after eight days, leaving the sample with a composition of 50% iodine-131 and 50% xenon-131.
How is decay rate determined?The deterioration rate is expressed as a percentage. The decimal equivalent can be obtained by simply reducing the percentage and multiplying it by 100. Therefore, it is possible to determine the decay factor b = 1-r. For instance, the exponential function's decay rate is 25% if the rate of decay is 0.25 and b = 1- 0.25 = 0.75 for the decay factor.
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When you are playing pool and a moving ball hits a stationary ball and the moving ball stops what happens to the momentum of the moving ball?
When a moving pool ball hits a stationary ball, some kinetic energy from the moving pool ball is transferred to the stationary ball and it attains momentum.
Both in the case of elastic and inelastic collisions, momentum is preserved. That means the total momentum will always be the same.
Momentum (ρ) is defined as "mass in motion". There are two factors affecting the momentum. Mass(m) and velocity(v).
ρ = m×v
So for a stationary object momentum will be 0. When the moving ball hits the stationary ball, it starts moving, because it gets kinetic energy from the moving ball. The total momentum before and after the collision will always be equal.
mₐ₁× vₐ₁ = mₐ₂×vₐ₂ + m₂ v₂
mₐ₁× vₐ₁ is the momentum of ball A before the collision
mₐ₂×vₐ₂ is the momentum of ball A after collision
m₂ v₂ is the momentum of ball B after collision.
So the stationary ball begins to move after the collision due to increased kinetic energy and attains some momentum. The total momentum of the system remains the same.
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