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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How do you calculate frequency and rate?
Divide the number of times the event happens over the period of time to determine the frequency.
What is the rate of frequency?The frequency index is the number of occupational accidents for 1,000 employees, whereas the frequency rate is the number of occupational accidents (work halted for more than one day) that occurred over a period of 12 months by one million hours worked.
Both frequency and rate count the number of times a behavior takes place. Since frequency, f, is 1/T, wave speed, frequency, and wavelength are related by the equation v = f. In contrast to frequency, rate is time-based. Calculating rate and frequency is simpler and more precise.
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Which of the following definitions best describes the concept of work?(a) the flow of energy from one object or substance to another due to a difference in temperature.(b) the flow of energy from one body to another through uniform molecular motion.(c) the force associated with molecular motion.(d) the random motion of molecules in a gas at low pressure.
How long will it take for a radioactive sample to decrease to 10% if its half-life is 22 years?
If the half-life of a radioactive sample is 22 years, it will take 73.11 years for the sample to decay to 10%.
How is half-life used to calculate radioactive decay?A fixed percentage of activity is lost during radioactive decay per unit of time. Half-life: The amount of time needed for a sample to degrade to 50% of its starting state. 1/2 = e –(λ*T1/2). constant over time and unique to each nuclide.
Do longer half-lives imply a lower radioactivity?The term (physical) half-life refers to the amount of time needed for radioactivity to decline and split in half. Half of the radioactivity will remain after a period of time equal to the half-life has passed, and a further half of the radioactivity will remain after a period of time twice as long as the half-life has passed.
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strut ab of the 1-m-diameter hatch door exerts a force of 450 n on point b. (figure 1)
The questions is incomplete I answered it in general way
The resulting moment of force is 45 nm.
Calculation:
F = 450 N
x = 1 m
Moment of force = F ×x
Moment of force = 450 ×0.10nm
Moment of force = 45.0nm
An object experiences pushes or pulls as a result of its interaction with another object. There is a force operating on each object whenever there is an interaction between two items. There is no force acting on the two objects when the interaction ends.
There are four basic factors at work. Strong nuclear force, electromagnetic force, and gravitational force. The enormous nuclear force is the most potent of these four forces. This leads us to the conclusion that an object moves more quickly whenever the force acting on it is in the same direction as its motion.
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If there are 4Hz, how many waves per second are there?
Answer:
four cycles per second
if a ball of volume v and density is fully submerged to a depth h in water of density pw. what is the formula for the boyuant force it experiences?
The buoyant force experienced by an object fully submerged in a fluid is given by the formula:
Fb = p * g * Vwhere Fb is the buoyant force, p is the density of the fluid, g is the acceleration due to gravity, and V is the volume of the object.
If you are given the volume and density of the ball and the density of the water, you can use this formula to calculate the buoyant force experienced by the ball. Simply plug in the appropriate values for p (the density of the water), g (the acceleration due to gravity, which is approximately 9.81 m/s^2 on Earth), and V (the volume of the ball).
It's important to note that this formula only applies to objects that are fully submerged in the fluid. If the object is partially submerged, the buoyant force will be less than what is calculated using this formula. In this case, you would need to take into account the volume of the object that is submerged in the fluid in order to calculate the buoyant force accurately.
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What is the unit used to measure the frequency of a sound?
Hertz are used to measure frequency (Hz).This refers to the number of pressure waves per second that would pass a fixed place in the case of sound.
What does hertz mean? The hertz unit of frequency (Hz).In the case of sound, this refers to how many pressure waves would pass a fixed spot each second.The amount of vibrations per second that the sound-transmitting particles are producing is also the same.Ten waves would pass a given place in one second during a sound with a frequency of 10 Hz.The term "hertz" refers to a frequency (or change in state or cycle in a sound wave, alternating current, or other cyclical waveform) of one cycle per second.Cycles per second (cps), the previous word, is now obsolete.The pace of current direction changes each second is known as frequency.To learn more about Hertz refer
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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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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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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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7. A particle carrying a charge of 10s C starts from rest in a uniform electric field whose intensity is 50 V/m. What
is the force on the particle? How much kinetic energy will the particle have after it has moved 5 m?
Ans:
5 x 10+ N, 2.5 x 10³ J
The force on the particle is equal to 5 ×10⁻⁴ N. The kinetic energy of the particle is 2.5 ×10⁻³ J.
What is an electric field?An electric field can be described as the field that surrounds electrically charged particles and acts as a force on all other charged particles in the field.
The Coulomb force on a charge q at any point is equal to the product of the charge and the electric field at that point
[tex]{\displaystyle \mathbf {F} =q\mathbf {E} }[/tex]
The SI unit of the electric field is a volt per meter (V/m).
Given, the magnitude of charge, q = 10⁻⁵ C
The electric field, E = 50 V/m
The force on the particle, F = 50 × 10⁻⁵ = 5 ×10⁻⁴ N.
Work, W = K.E. = F.S = 5 ×10⁻⁴ × 5 = 25 × 10⁻⁴ = 2.5 ×10⁻³ J
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which prototype is the most cost-effective solution per month? fast flight higher flyers orbit or bust infinity
The solution is Orbit or Bust. Because it has the shortest build time and the lowest cost. To make a jet, aerospace engineers require a lightweight material.
Identifying a problem, researching the problem, generating various solutions, selecting the best answer, creating a model, testing the model, refining and retesting the model as needed, and communicating the final solution are all steps in the technological design process. Identifying a need, creating and implementing a solution, and assessing the solution are the four stages of technology design. It starts with a product design challenge and ends with SRS, and the starting point is the project purpose statement, thus all options are false.
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What is phase shift formula?
Answer:
Phase shift {F(x)} = Asin(Bx-C) + D.
Write a nuclear equation for the alpha decay of 236 94 pu
the nuclear formula for the 236 94 pu alpha decay.
236(top) 94(bottom) Pu ---> 4(top) 2(bottom) He + 232(top) 92(bottom) U
Nuclear processes such as "alpha decay," which releases a particle made up of two protons and two neutrons, allow unstable nuclei to transform into new elements. An alpha particle, which is just a helium nucleus, is an expelled particle that has this name. A positive charge and a sizable mass are two characteristics of alpha particles. Alpha particles can't penetrate very deeply into a material or go very far through the air due to their huge mass. Alpha decay is rarely employed in external medical radiation therapy since it only affects surfaces.
By examining how radiation is deflected by a magnetic field, Ernest Rutherford was able to distinguish alpha decay from other types of radiation in the beginning. You would anticipate a positive particle to deflect in the manner of alpha decay.
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which of the following most directly shows how affects physics
Air bags protect people during car crashes is an example that shows how physics affects society. The correct option to this question is D.
How physics is involved in air bags helpful?Your vehicle and everything inside of it are moving in one direction; therefore, for it to stop, force must be applied gradually in the other direction over time. This happens very quickly in an accident, and because the opposing force only has a little period of time to operate on the vehicle, the force is stronger. The airbag system is made to protect you from the damaging pressures that an accident can exert on you.Your airbag system is made up of three primary parts: the bag, the inflator, and the sensor. Before the airbag inflates, the sensor must detect a collision force roughly equivalent to running into a brick wall at a speed of 10 to 15 miles per hour.For more information on physics kindly visit to
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Complete question: Which of the following most directly shows how physics affects society
A.a perfume company designs a new fragrance
B.a patient is treated by acupuncture for an illness
C.gardeners uses fertilizers to help plants grow
D.air bags protect people during car crashes
when a dentist takes x-rays, they must be careful to correctly interpret the results. in one study, it was found that dental students and new dentists were much more likely than experienced dentists to think the x-ray below showed a fracture in the tooth (pointed by the black arrow). but there is not really a fracture present. what illusion makes the 'fracture line' look darker and more serious to the less experienced dentists than it really is?
In a case whereby a dentist takes x-rays, they must be careful to correctly interpret the results. in one study, it was found that dental students and new dentists were much more likely than experienced the illusion that makes the 'fracture line' look darker and more serious to the less experienced dentists than it really is Mach bands.
What is Mach bands?Mach bands can be described as the illusory dark as well as the bright bars seen at the foot and knee of a luminance trapezoid this wa explained by Ernst Mach in the latter part of the 19th century however the Mach bands can be regarded as the test bed not only for models of brightness illusions but of spatial vision in general.
Therefore, in the bcase above the illusion that makes the 'fracture line' look darker as wwell as serious to the less experienced dentists than it really is Mach bands.
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A certain capacitor has rectangular plates 56cm by 20cm and the gap width is .21mm. what is it's capacitance? A certain capacitor has rectangular plates 56 cm by 20 cm, and the gap width is 0.21 mm. What is its capacitance? We see that typical capacitances are very small when measured in farads. A one-farad capacitor is quite extraordinary! Apparently it has a very large area A (all wrapped up in a small package), and a very small gap s.
The capacitance of the capacitor is 47.22×10^-12F
What is capacitance of a capacitor?Capacitance is the ratio of the charge Q and the potential difference between the two plates. Also the capacitance can be expressed as:
C = εA/d, In this equation, C is capacitance; ε is permittivity, a term for how well dielectric material stores an electric field; A is the parallel plate area; and d is the distance between the two conductive plates. It is measured in Farad
A = 0.56×0.20 = 0.112cm²
d = 21mm = 0.021m
ε = 8.854×10^-12F/m
C = εA/d
C =( 8.854× 10^-12× 0.112)/0.021
C = 47.22 × 10^-12 F
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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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a plano-convex glass lens of radius of curvature 2.9 m rests on an optically flat glass plate. the arrangement is illuminated from above with monochromatic light of 546-nm wavelength. the indexes of refraction of the lens and plate are 1.6. determine the radii of the first and second bright fringes in the reflected light.
0.000709 m , 0.00122 m is the radii of the first and second bright fringes in the reflected light.
What does "reflected light" mean in art?In works of art, light that reflects off one thing and strikes a different object is known as reflected light. You are working with light no matter what topics you draw or paint or how you draw or paint them. How three-dimensional your drawing appears depends on how well you depict light.
R = Radius of curvature = 2.9 m
λ = Wavelength = 559 nm = 546×10⁻⁹ m
Radius of bright fringe
r = [tex]\sqrt{(m+0.5)}[/tex]λr
The first bright fringe indicates that m = 0.
r = [tex]\sqrt{(0.5*559)*10^-9*1.8}[/tex] = 0.000709m
At m = 1, first-second fringe implies.
r = [tex]\sqrt{(1+0.5)559*10^-9*1.8}[/tex] = 0.00122m
∴The initial brilliant fringe has a radius of 0.000709 m. The second brilliant fringe has a radius of 0.00122 m.
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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).
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].
an ideal spring is used to fire a 15.0 g pellet horizontally. the spring has a spring constant of 20 n/m and is initially compressed by 7.0 cm. the kinetic energy of the pellet as it leaves the spring is:
The pellet has a kinetic energy of 4.9 10-2 J as it exits the spring.
The kinetic energy is absent.Kinetic energy is the term for the energy present in an object in motion. Examples of kinetic energy include you walking down the street, the globe rotating around the sun, and motion in space. The relationship between kinetic energy and an object's mass and square of its velocity is direct: K.E. = 1/2 m v2.
Calculation:To calculate the kinetic energy of the pellet, solve the energy conservation equation using the necessary variables as substitutes.
KE = EPE
KE = 1/2 kx²
KE = 1/2(20N/m) (7cm ×1/100cm)²
KE = 4.9 × 10⁻²J.
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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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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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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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a cancave shaving mirror has a focal length of 33 cm. calculate the image position of a cologne bottle placed infront of a mirror at distance of 93 cm. calculate the magnification of the image. is it virtual or real? is it inverted of upright?
HELPPP!
someone explain please
The position of the image of a cologne bottle is equal to 52cm. The magnification of the image is equal to 0.55 and the virtual image.
What is the mirror formula?The reflecting part of the concave mirror is that which caves inwards and the reflecting part of a convex mirror is one which caves outwards.
[tex]\displaystyle \frac{1}{f}=\frac{1}{u}+\frac{1}{v}[/tex]
Where f is the focal length, u is the object distance and v is the image distance
Given, the focal length of the concave mirror, f = 33.0cm
The distance of the bottle, u = 93 cm
[tex]\displaystyle \frac{1}{33}=\frac{1}{93}+\frac{1}{v}[/tex]
1/v = 0.030- 0.0107
1/v = 0.0192
v = 52 cm
The magnification of the image, m = v/u = 52/93 = 0.55.
The image will be virtual.
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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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How far above Mercury's surface would a Mercury geosynchronous satellite have to be if Mercury's mass, radius, and period are 3.30 x 1023 kg, 2439.00 km, and 1407.00 hours, respectively?
Answer:
The mass of the satellite is: m=475kg
The height of the satellite from the surface of mercury is: h=265km
The mass of mercury is: M=3.30×1023kg
The radius is: r=2.24×106m
State the law of gravity, and explain how this paper airplane investigation
proved Newton's law of gravity.
Based on Newton's law of gravity, the force of attraction on the airplane moving on Earth is directly proportional to the mass of the airplane and inversely proportional to the square of distance the airplane from Earth's surface.
What is Newton's law of universal gravitation?
Newton's law of universal gravitation states that the force of attraction between two objects in the universe is directly proportional to the product of their masses and inversely proportional to the square of the distance between the two objects.
Mathematically, this law is written as follows;
Fg = ( G m₁ m₂ ) / ( r² )
where;
G is the universal gravitation constantm₁ is the mass of the first objectm₂ is the mass of the second objectr is the distance between the two objectsFrom Newton's second law of law of motion we will have;
F = mg
mg = ( G m₁ m₂ ) / ( r² )
g = Gm / r²
Every object on Earth surface moves with equal acceleration due to gravity which has a value of 9.8 m/s².
Thus, airplane flying on Earth surface will be affected by gravity and the weight or downward force on the airplane is a function of gravity.
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