The change in the momentum of the balls is -8 kg.m/s.
Initial momentum of the ballsThe initial momentum of the balls is calculated as follows;
Pi = 4 kg(4 m/s) + 2 kg(2 m/s)
Pi = 20 kg.m/s
Final momentum of the ballsPf = 2 m/s (4 kg + 2 kg)
Pf = 2 m/s (6 kg)
Pf = 12 kg.m/s
Change in momentum of the ballsΔP = Pf - Pi
ΔP = 12 kg.m/s - 20 kg.m/s
ΔP = -8 kg.m/s
Thus, the change in the momentum of the balls is -8 kg.m/s.
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The complete question is below:
What is is the change in momentum of the balls?
The energy of a photon is _____ proportional to its frequency. a high-energy photon has a _____ frequency and a _____ wavelength.
The energy of a photon of light is directly proportional to its frequency, a ahigh-energy photon has a higher frequency and a short wavelength.
What is wavelength?The length that a periodic wave repeats over in space is referred to as its wavelength in physics.
It is a characteristic of both traveling waves and standing waves as well as other spatial wave patterns. It is the separation between two successively related wave points of the same phase, such as two close-by crests, troughs, or zero crossings. The inverse of the wavelength is known as the spatial frequency. It's commonly represented by the Greek letter, or "wavelength." Also usually referred to as having a wavelength are the sinusoidal wave envelopes, modulated waves, and waves produced by the interference of several sinusoids.
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I need help getting this done!
I don’t understand how to do this so I need help!
Answer:
1. Net force = 20 N
Direction = Right
Unbalanced
2. Net force = 7 N
Direction = Right
Unbalanced
3. Net force = 25 N
Direction = Left
Unbalanced
4. Net force = 60 N
Direction = Left
Unbalanced
5. Net force = 0
Direction = There is no motion, and it is not moving in any direction, it is at rest.
Balanced
6. Net force = 4 N
Direction = Down
Unbalanced
Explanation below
Hope this helps :)
Explanation:
To calculate net force, we must look at the direction it's pointing and the number of Newtons (N). If the arrow/arrows are pointing in the same direction, add the numbers, and the direction would be where the arrow is pointing (left,right,up,down). If the arrow/arrows are pointing in different directions, subtract the bigger and little number, and the direction would be where the bigger number is pointing (left,right,up,down).
It is only balanced when the net force is equal to zero. If the net force equals a number that's not zero like 1 and continuing on forever then it would be unbalanced.
four identical metallic spheres with charges of +5.0 µc, +4.2 µc, −3.8 µc, and −2.8 µc are placed on a piece of paper. the paper is lifted on all corners so that the spheres come into contact with each other simultaneously. the paper is then flattened so that the metallic spheres become separated. (a) what is the resulting charge on each sphere? 0.65 correct: your answer is correct. µc (b) how many excess or absent electrons (depending on the sign of your answer to part (a)) correspond to the resulting charge on each sphere? -4.0625e13 incorrect: your answer is incorrect. what is the charge of an electron/proton? electrons are ---select---
Four identical metallic spheres with charges of +8.6 UC, +5.0 PC, -4.2 pc, and -5.6 UC are placed on a piece of paper. The paper is lifted on all corners so that the spheres come into contact with each other simultaneously.
What are metallic spheres?It was a cause single to help charged programmer Gary McKinnon, yet it turned into the springboard for additional cooperation one year after the fact, after Circle principal man Dr. Alex Paterson, became involved. Metallic Circles is the outcome, a 49-minute odyssey that is purposefully separated into just two tracks. This is just valid for a metallic circle. A metallic circle has the property that there can be no static electric field inside it. Consequently, by Gauss' regulation there can be no charge inside it by the same token. The metal liner is utilized as a hindrance against pervasion. Instances of such COPV circles are clear in the accompanying picture where their surfaces are quite stringy by all accounts. Space circle tracked down in Spain.
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The biggest challenge in making a decentralized organization function effectively is:_______
Getting purpose congruence among division managers is the main obstacle to a decentralized company functioning efficiently.
When managers of organizational subunits work to accomplish the objectives stated by upper management, goal congruence is achieved.
Goal congruence occurs when individuals across various organizational levels have the same objective. A well-planned organizational structure results in goal congruence and enables an organization to cooperate to carry out a strategy.
In conclusion, goal congruence is a crucial tool for all organizations to use in order to accomplish their stated objectives. Congruent goals ensure that the organization's strategic goals are met and that all personnel are coordinated and motivated.
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Because the magnetic field created by moving a current through a wire is both ___________________ and perpendicular to the wire, the field strength can be improved by ________________ the wire?
A parallel, coiling
B parallel, layering
C circular, coiling
D linear, length
Answer:I think the answer is a.
Explanation:
Because the magnetic field created by moving a current through a wire is both parallel and perpendicular to the wire, the field strength can be improved by coiling the wire, therefore the correct answer is option A.
What is a magnetic field?A magnetic field could be understood as an area around a magnet, magnetic material, or an electric charge in which magnetic force is exerted.
because coiling the wire can increase the magnetic field's intensity because the magnetic field produced by running a current through a wire is both parallel to and perpendicular to the wire.
Thus, the correct answers are parallel and coiling respectively, therefore the correct answer is option A.
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two light conducting balls each of mass 10 milligrams are suspended by silk threads 1 meter long from a common point, when equal charges are given to the balls, they repel each other to a distance of 20 cm. find out the charges on each ball.
An isosceles triangle with two sides of 100 cm and one of 20 cm is formed by the threads and the balls.
The electric charge particles that make up the electrostatic force behave as both an attracting and a repulsive force. It is additionally called Columb's force. Charles-Augustin de Coulomb, a French scientist, would be honored by having the Columb attraction bear his name. However, electrostatic force is one of the four fundamental forces of nature. The forces add up to zero.
F=kq2/d2 is horizontally oriented.
Straight down, the gravitational force is mg, and the thread's tension is T.
The horizontal tension balances the electrostatic field, whereas the vertical tension balances gravity.
An isosceles triangle with two sides of 100 cm and one of 20 cm is formed by the threads and the balls.
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at what speed would an 6.90–kg trash can have the same momentum as the truck? (note that the speed is unreasonable.)
The velocity of trash can of mass 6.90 kg should be almost equal to 500 times the velocity of truck in order to have same momentum.
We have a trash can of mass 6.90 kg and a truck.
We have to determine at what speed a 6.90 kg trash can have the same momentum as the truck.
What is Momentum?The momentum of a body is the product of its mass and velocity. Mathematically -
p = mv
According to the question -
Assume that the mass of the truck is comparable to a real truck and is equal to 3500 Kg.
Mass of can = 6.9 Kg
Assume that the truck is moving with velocity u m/s and the can is moving with velocity v m/s.
Then -
Momentum of Truck = p(T) = 3500 x u Kg m/s
Momentum of Can = p(C) = 6.9 x v Kg m/s = 7 x v Kg m/s {Rounded)
Since, the momentum of the truck and the trash can are same, therefore-
p(T) = p(C)
3500 x u = 7 x v Kg m/s
u / v = 7 / 3500 = 1 / 500
v = 500 u
Hence, the velocity of can should be almost equal to 500 times the velocity of truck in order to have same momentum.
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2.) _____ is the measurement of kinetic energy (1 point)
Kinematics is referred to as the measurement of kinetic energy.
What is Kinematics?This is referred to as a branch of mechanics which is involved in how objects move in an area and is usually done with the use of different methods such as the use of words, diagrams etc. This is used in the study of the motion without any reference to the force which acts on the body.
On the other hand, kinetic energy is referred to as the energy which is possessed by virtue of its motion while potential energy is the energy possessed by a body by virtue of its position.
The unit of Kinetic energy is Joules and kinematics uses different parameters in the determination of its value such as velocity, acceleration which indicates motion to various extent which is therefore the reason why kinematics was chosen as the most appropriate choice.
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u are an engineer in an electric-generation station. you know that the flames in the boiler reach a temperature of 1200 k and that cooling water at 300 k is available from a nearby river. w
The plant efficiency will be 75%.
We have a engineer in a Electric - Generation Station.
We have to determine the maximum efficiency plant will ever achieve.
What is the formula to calculate the maximum efficiency achieved by the plant ?The maximum efficiency the plant will achieve is defined as -
η(max) = 1 - [tex]$\frac{T_{min} }{T_{max} }[/tex]
Now -
T(minimum) = Temperature of Cooling water = 300 K
T(maximum) = Temperature of boiler = 1200 K
Therefore -
The maximum efficiency will be -
η(max) = 1 - [tex]\frac{300}{1200}[/tex]
η(max) = 1 - [tex]\frac{1}{4}[/tex]
η(max) = 3/4
Percentage efficiency = [tex]\frac{3}{4} \times 100\\[/tex] = 3 x 25 = 75%
Hence, the plant efficiency will be 75%.
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[ The given question is incomplete. The complete question is given below -
You are an engineer in an electric-generation station. You know that the flames in the boiler reach a temperature of 1200 K and that cooling water at 300 K is available from a nearby river. What is the maximum efficiency your plant will ever achieve? ]
matter and energy- how are they interrelated?
Any substance that possesses mass and volume is considered to be matter. In general, atoms and anything composed of them are considered to be "matter."
Energy is the power to effect change or carry out work.
The connection between energy and matter is determined by the speed of light, per the theory of relativity. E = M x C^2, where E is energy, M is mass, and C is the speed of light, describes how matter and energy are related.
Matter and Energy - How are they inter-related?
The variation in a body's mass is inversely proportional to the square of the speed of light and directly correlated with the amount of energy released during the conversion process. An energy conversion process can be carried out by a system using this kind of transformations, in which some of the body's intrinsic energy is converted into thermal energy or radiant light. Also implied by this process is a loss of mass. At the atomic level, the shift of mass is significant because it demonstrates that matter is not an immutable property of the body and that it may, in fact, "disappear," releasing energy to the outside.
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initially stationary, a train has a constant acceleration of 0.4 m/s2, its speed will be m/s after 15 s.
The speed of the train after 15 seconds will be 6 m/s.
As the train is moving with constant acceleration, we have to use one of the equations of motion to calculate the final velocity of the train.
The equations of motion are:
S = ut + 1/2at^2 ..........(i)
v^2 - u^2 = 2as ...........(ii)
V = u + at .....................(iii)
Using equation (iii) v = u + at
u = 0 m/s
a = 0.4 m/s^2
t = 15 seconds
v = 0 + 0.4(15)
v = 6 m/s
Hence, The speed of the train after 15 seconds will be 6 m/s.
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a plane flies 400 km east from city a to city b in 45.0 min and then 980 km south from city b to city c in 1.50 h. (assume the x axis points east and the y axis points north.) (a) in magnitude-angle notation, what is the plane's displacement for the total trip?
The plane's displacement for the total trip is, -63.2°.
Velocity, v = x/t
Vx = 459 km/2.483 hr = 184.8 km/h
Vy = -909 km/2.483 hr = - 366 km/hr
Magnitude, v =sqrt(Vx^2 + Vy^2) = 410 km/hr
Direction, theta = arctan (-366/184.8) = - 63.2°
What is in plane displacement?Double symmetrical illumination of the object, successively for each illumination direction, is used to measure in-plane displacement as the loading is gradually increased. The impact response of structures is significantly impacted by the in-plane displacements at the supports.
This is so that axial membrane forces along the beam's center line can be introduced by the development of geometrical modifications. Given that the double-hull specimen should have been strengthened by sturdy brackets at the boundaries of the outer and inner plates, this anomaly is likely the result of insufficient experimental restrictions (top and bottom plates).
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in order that the connections inside an outlet box remain accessible, the nec requires that a surface extension from an outlet box cover be made using .
In order that the connections inside an outlet box remain accessible, the NEC requires that a surface extension from an outlet box cover be made using a flexible conduit only.
In the "surface extension" concept, the damper border dimensions are simply increased in relation to the air gap height. The extension coefficient is constant for continuum flow, but the rarefied gas causes the extension to vary on Kn. The elongation increases as Kn rises.
When a box's lid is constructed so that it is unlikely to come off or be removed if its locking mechanism becomes loose, one can create a surface extension from it. The wiring technique must be built for a length that is permitted and allows access to the inside of the box by removing the cover, and it must be set up such that any grounding continuous is independent of the connection between the box and cove.
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Complete Question:
The NEC requires that a box or conduit body be installed at each conductor splice connection point. In order that the connections inside an outlet box remain accessible, the NEC requires that a surface extension from an outlet box cover be made using ____.
What is the effect on species diversity of dumping untreated sewage into a waterway?
Raw sewage contains microorganisms that can harm ecological systems as well as make people and animals ill. In addition to bacteria and viruses, raw sewage frequently include germs that are harmful to human health. Additionally, there are additional substances in raw sewage that are just poisonous to fish, shellfish, mammals, and other aquatic life. Consequently, sewage pollution that enters a body of water sets off a negative cascade.
What is diversity?The definition of diversity is the quality of including or consisting of several constituents .The development of workplace diversity models since the 1960s has given rise to a strong commercial rationale for diversity. The initial paradigm for diversity in the United States was based on affirmative action and the equal opportunity employment goals put in place by the Civil Rights Act of 1964. The principle of equal employment opportunity was predicated on the notion that anybody who was intellectually or physically prepared for a particular profession might work toward (and perhaps achieve) getting the stated position without experiencing identity-based discrimination. This compliance-based strategy gave birth to the notion that the only reason a person who was different from the majority group was employed into a corporation was for show.
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a car’s bumper is designed to withstand a 3.00–km/h (0.833–m/s) collision with an immovable object without damage to the body of the car. the bumper cushions the shock by absorbing the force over a distance. calculate the magnitude of the average force on a bumper that collapses 0.200 m while bringing a 1050–kg car to rest from an initial speed of 0.833 m/s.
The average force on the bumper is 1821.455 Newtons.
Assuming there is no friction from the ground on the car that leads us to think the only restrictive force that acts on the car is the force on the bumper, we can think of the energy conversion during the collision.The car's kinetic energy just before it undergoes the collision is expended against the work done on the car through the bumper by the force that acts upon the bumper that takes the car to rest eventually.The kinetic energy the car had can be calculated as follows,[tex]\begin{aligned}\\\text{kinetic energy} &= \small \frac{1}{2}mv^2\\\\&=\small \frac{1050\,kg\times (0.833\,m/s)^2}{2}\\\\&=\small 364.291\,kg\,m^2/s^2\end{aligned}[/tex]
Note that the answer is kept in 3 decimals.The work done on the car by the force on it is as follows,[tex]\begin{aligned}\\\text{work on the car} &= \small Fs\\\\&=\small F\times 0.200\,m\\\\&=\small 0.200F\, m\end{aligned}[/tex]
These 2 quantities are equal as per the explanation and therefore,[tex]\begin{aligned}\\\small 0.200F \,m &=\small 364.291\,kg\,m^2/s^2\\\\\small F &=\small 1821.455\, N\end{aligned}[/tex]
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Based on the positions of sodium and potassium in the table,Tracy can predict that sodium
Answer:
-has many of the same properties as potassium.
Explanation:
a sound wave with intensity 1.9×10−3 w/m2 is perceived to be modestly loud. your eardrum is 5.7 mm in diameter.
Complete Question is
A sound wave with intensity
2.0×10−3Wm2
is perceived to be modestly loud. Your eardrum is 5.9 mm in diameter. How much energy will be transferred to your eardrum while listening to this sound for 1 minute? Express answer in Joules.
The energy transferred to the human ear per minute will be : 2.909×10⁻³J.
W=Pt
=I*A*t
=1.9×10⁽⁻³⁾×π×(5.7×10⁽⁻³⁾)²/4×60
=2.909×10⁻³J
the amount of power that is transported beyond a given place of the medium in keeping with unit of time is referred to as the intensity of the sound wave. The extra the amplitude of vibrations of the particles of the medium, the extra the charge at which electricity is transported through it, and the extra severe that the sound wave is.
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Write the net ionic equation for the precipitation reaction that occurs when aqueous magnesium chloride is mixed with aqueous sodium phosphate. Be sure to include the physical states of all species.
Ionic equation is
[tex]Na^{+} _{3}[/tex](aq) + 2[tex]PO^{3+} _{4}[/tex](aq) + 3[tex]Mg^{+2}[/tex](aq) + 3[tex]Cl^{-} _{2}[/tex] -----> Mg([tex](PO_{4} )_{2}[/tex](s) + 3[tex]Na^{+}[/tex](aq) + 3[tex]Cl^{- }_{2}[/tex](aq)
Here the reaction of aqueous magnesium chloride is mixed with aqueous sodium phosphate.
i.e., Mg[tex](Cl)_{2}[/tex] react with [tex]Na_{3}PO_{4}[/tex]
Here the reaction is the replacement reaction, so when both magnesium chloride reacts with sodium phosphate it forms magnesium phosphate and sodium chloride.
Mg[tex]Cl_{2}[/tex] (aq) + [tex]Na_{3} PO_{4}[/tex] (aq) -------> [tex]Mg_{3} (PO)_{4}[/tex] (s) + Na[tex]Cl_{2}[/tex] (aq)
And the ionic equation is:
[tex]Na^{+} _{3}[/tex] (aq) + 2[tex]PO^{3-} _{4}[/tex] (aq) + 3[tex]Mg^{2+}[/tex](aq) + 3 [tex]Cl^{-}_{2}[/tex](aq)-------> [tex]Mg_{3}(PO_{4} )_{2}[/tex](s) + 3[tex]Na^{+}[/tex](aq) + 3 [tex]Cl_{2}^{-}[/tex](aq)
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starting at a position of 0 m, if the man is moving at a constant velocity of 2 m/s, it will take seconds for him to reach a position of 12 m.
The calculated time is 6 seconds.
Time is defined by physicists as the flow of events from the past through the present and into the future. In essence, a system is timeless if it is unchanging. When describing events that take place in three-dimensional space, time can be thought of as the fourth dimension of reality. Even if time isn't directly connected to energy, it is undoubtedly connected to many other components of energy. For instance, the movement of energy across the universe can affect the direction of time (from the past to the future).
V= 2 m/s
d=12 m
t=?
we know that velocity=displacement / time
time= displacement / velocity
= 12/2
=6 seconds
the calculated time is 6 seconds.
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a student is driving at a speed of 45 mph on us 1 when he glances at his cell phone for 4.0 seconds to see who s calling him. how far, approximately, did he travel while looking at his cell phone?
Approximately, the student traveled 80.4672 m while looking at his cell phone.
What do you mean by distance?While distance and displacement appear to signify the same thing, they actually have very different definitions and meanings. A scalar quantity known as distance measures "how much ground an object has traversed" while moving. An object's total change in position is referred to as displacement, a vector variable that measures "how far out of place an object is." Therefore it can be understood that distance measures the length between two objects without describing its direction. Hence distance is a scalar quantity(having no direction, it only has magnitude)
45 mph = 0.0201168 kmps
So distance covered in 1 sec is 0.0201168 km
So distance covered in 4s is 4 * 0.0201168 = 0.0804672km = 80.4672m
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A gas cylinder of cf2=cf2 is unexpectedly found to have lost all pressure. upon being sawn open, what was discovered?
Teflon was discovered upon being sawn open.
Numerous applications can be found for polytetrafluoroethylene (PTFE), a synthetic fluoropolymer of tetrafluoroethylene. It is one of the most popular and often used PFAS. The most popular brand name for PTFE-based materials is Teflon [tex](C_{2} F_{4} )[/tex].
Teflon, a high-molecular-weight polymer made entirely of fluorine and carbon, is a fluorocarbon solid. Because PTFE is hydrophobic, neither water nor anything containing water can penetrate it.
For pans and other cookware, teflon is utilised as a non-stick coating. It is frequently used in containers and piping for reactive and corrosive chemicals since it is non-reactive, in part due to the strength of the carbon-fluorine bonds.
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Identify the level of measurement of the data, and explain what is wrong with the given calculation. in a set of data, are represented as for for and for the average (mean) of the is:________
Level of measurement of the data is the average (mean) of the is: Ordinal scales.
What is level of measurement?A categorization that specifies the type of information included in the values assigned to variables is called level of measurement or scale of measure. The most well-known categorization was created by psychologist Stanley Smith Stevens and included four levels or scales of measurement: nominal, ordinal, interval, and ratio.
You may find out how accurately variables are recorded using levels of measurement, also known as scales of measurement. A variable in scientific study is something that can have various values across your data collection (e.g., height or test scores).
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9. A metal coin has certain properties that can be measured. Which property of a coin is different on the moon than it is on Earth? C F a. mass b. weight c. volume d. density
Answer:
the weight is different on the moon
Explanation:
a computer's power supply converts mains ac to low-voltage regulated dc power for the internal components of a computer. you are building a new computer. you are deciding which type of power supply to install. which of the following definitions best describes a valid type of power supply?
The definition that best describes the given statement is given below:
Dual rail electricity supply includes independent tracks, P C B traces that are used to offset the voltage sags between different circuits, avoiding overloading of any circuit.
A printed circuit board, or PCB, is used to mechanically support and electrically connect electronic components using conductive pathways, tracks or signal traces etched from copper sheets laminated onto a non-conductive substrate.
Practically all inverters use semiconductors to deliver a controlled power output. If the source does have an ac input, then an input voltage is rectified.
Therefore, it's the right answer.
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What is the appropriate equation for how fast an object freely falls from a position of rest?
Answer:
Explanation: v = v₀ + gt = 0 + 9.80665 * 8 = 78.45 m/s
A steel box is slid along a stell surgave. it has a normal force of 57n. what is the frictional force?
The value of frictional force is 45.6 N
The amount of resistance a steel box experiences when traveling over a steel surface
μ = 0.80
the frictional force is a result
f = μ N
= 0.80[tex]\times[/tex] 57
= 45.6 N
The force that prevents motion when the surfaces of two objects come into contact is known as friction. Friction lessens a machine's mechanical advantage, or, to put it another way, friction decreases the output-to-input ratio.
A car spends one-fourth of its energy-reducing friction. However, friction in the clutch and the tires also contribute to the vehicle's ability to maintain its position on the road.
One of the most important phenomena in the physical universe is friction, which affects everything from machinery to molecular structures to matches.
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hoover dam is about 180 m180 m high, measured from its low‑water surface to the crest of the dam, and about 380 m380 m long. assume that the dam is filled to 85�% of its full height. estimate the total hydrostatic force ????f on the hoover dam.
The total hydrostatic force on the hoovar dam = f=41.56 GN
Dam filled upto height =83% of 180 m =83/100 *180 =149.4 m
Hydrostatic power p= xpg
force acting on dam f= pressure *area =∫p da
=∫₀¹⁴⁹°⁴(xpg) (380dx)
=380pg∫₀¹⁴⁹°⁴xdx
=380*1000*9.8[x²/2]₀¹⁴⁹°⁴
f=380*9.8*1000/2[(149.4)²-0²]
f=4.156*10¹⁰ N
f=41.56 GN
The net hydrostatic pressure (hp) is the hydrostatic pressure in the __________ minus hydrostatic pressure in the __The net hydrostatic pressure (hp) is the hydrostatic pressure in the capillary minus hydrostatic pressure in the interstitial fluid.
Hydrostatic strain is a power produced by the tension of liquid on the slim walls either by the blood plasma or interstitial liquid.The net hydrostatic pressure is the equilibrium of the four Starling powers and decides the net progression of liquid across the slim layer.The net hydrostatic pressure got from the amount of the four powers depicted above decides the liquid stream into or out of the narrow.Development from the circulatory system into the interstitium is inclined toward by blood hydrostatic strain and interstitial liquid oncotic pressure.On the other hand, blood oncotic pressure and interstitial liquid hydrostatic strain tend to promote development from the interstitial into the circulatory system.To know more about hydrostatic , visit :
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this problem checks that you can correctly apply coulomb's law for point charges, . two point-like particles separated by 2 cm have charges
The electrostatic force between the charges is 11.25 x [tex]10^{-11} \;\mu N[/tex].
We have two charges separated by some distance apart.
We have to calculate the magnitude of the force exerted on the charges due to the electromagnetic interaction in μN (10-6 Newtons).
What is the formula to calculate the electrostatic force between two point charges ?The force between two point charges is -
F = [tex]$\frac{1}{4\pi \epsilon_{o} } \frac{qQ}{r^{2} }[/tex]
According to the question -
Q =5 nC = 5 x [tex]10^{-9}[/tex] C
q = 1 nC = [tex]10^{-9}[/tex] C
r = 2 cm = 0.02 m
The force of repulsion between the charges is -
[tex]$\frac{1}{4\pi \epsilon_{o} } \frac{qQ}{r^{2} }[/tex]
[tex]$F =9\times 10^{9} \times \frac{5\times 10^{-9}\times 10^{-9} }{(0.02)^{2} }[/tex]
F = 11.25 x [tex]10^{-5}[/tex] Newtons.
Now , in micro - newtons →
F = 11.25 x [tex]10^{-5} \times 10^{-6}[/tex] = 11.25 x [tex]10^{-11} \;\mu N[/tex].
Hence, the electrostatic force between the charges is 11.25 x [tex]10^{-11} \;\mu N[/tex].
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[ The given question is not complete. The complete question is -
" Two point-like particles separated by 2 cm have charges q1=5 nC and q2=1 nC. Note that the force felt by each charge due to the other is a vector and has both a magnitude and a direction. What is the magnitude of the force exerted on the charges due to the electromagnetic interaction, in μN (10-6 Newtons)? " ]
a swan on a lake gets airborne by flapping its wings and running on top of the water. if the swan must reach a velocity of 6.00 m/s to take off and it accelerates from rest at a constant rate of 0.350 m/s2, how far will it travel before becoming airborne?
By using uniform motion, the distance traveled by the swan is 51.43 meters.
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
vo = 0 m/s
vt = 6 m/s
a = 0.35 m/s²
By using second equation, we can find the distance traveled by swan
vt² = vo² + 2a . s
6² = 0² + 2 . 0.35 . s
36 = 0.7 s
s = 36 / 0.7
s = 51.43 m
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there is an equilateral triangle with sides 2 meters in length. at one of the points is a 1 microcoulomb charge, at the second point there is a 2 microcoulomb charge, and at the third point there is a 3 microcoulomb charge. what is the magnitude of the force on the 2 microcoulomb charge?
The magnitude of the force on the 2 micro coulomb charge is 16.22mN.
Force on 2 micro coulombs by 1 micro coulomb is given as
F₁ = k · 1 × 2 × 10⁻¹²/r²
Or, F₁ = 9 × 10⁹ × 2 × 10⁻¹² /2²
Or, F₁ = 4.5 mN
Force on 2 micro coulombs by 3 micro coulomb is given as
F₂ = k · 3 × 2 × 10⁻¹²/r²
Or, F₂ = 9 × 10⁹ × 6 × 10⁻¹² /2²
Or, F₂ = 13.5 mN
As charges are placed on equilateral triangles, it means both forces will be 60 degrees separated from each other.
So, the resultant magnitude is given by
F = √F₁² + F₂² + 2F₁F₂cos60°
or F = 16.22 mN
Therefore, the magnitude of the force on the 2 micro coulomb charge is 16.22 mN.
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