The magnitude of the force experienced by the negative charge is 0.198N.
The Coulombs law is an expression that states that magnitude of the force between two charges q and Q separated by a distance r is given by
F=k|Q|q|r2
where k is Coulomb constant.
Answer and Explanation:
Let us visualize corners of the square as four points on the xy-axis. The four points would be origin (0,0), then (78.9 cm, 0), then (0, 78.9 cm) and (78.9 cm, 78.9 cm). These points are corners of the square described in the question. Let negative charge be at origin. Let charge 1 be located at (78.9 cm, 0), that is, its located along x-axis, a distance 78.9 cm away from the negative charge. The force due to this charge 1 acts in positive x-direction as the two charges attract. Let charge 2 be at point (0, 78.9 cm) and the force due to this charge acts in the positive y-direction. Charge 2 is also 78.9 cm away from negative charge. Let charge 3 be located at point (78.9 cm, 78.9 cm). Force due to this charge has the x and y-components. The angle this force makes with positive x-axis is 45 degrees since this is a square. The distance between charge 3 and negative charge is
√(78.9cm)2+(78.9 cm)2 =111.5814501cm.
Now we can calculate force on the negative charge due to each individual positive charge. Force due to the charge 1 is [tex]F_{1} =k|+q||-q| r^{2}(8.98755*109N.m^{2}/C^{2})*(2.68*106)*(2.68*106)^{2}(0.789m)^{2} =0.1036947816N[/tex]
in positive x-direction. Force due to the charge 2 has same magnitude as force due to charge 1, but acts in the positive y-direction.
F2 =0.1036947816N
The force due to the charge 3 is
[tex]F_{3}=k|+q||-q| r^{2} =(8.98755*109N.m^{2}/C^{2})*2.68*10^{-6} )^{2}(1.115814501m)^{2}= 0.05184739076N[/tex]
The x and y-components of force due to charge 3 are
F3,x=F3cos45=(0.05184739076√22)N=0.03666164159N
in positive x-direction, and
F3,y=F3sin45=(0.05184739076√22)N=0.03666164159N
in positive y-direction.
Therefore, x-component of the resultant force experienced by the negative charge is
Fx=F1+F3,x=0.1036947816N+0.03666164159N=0.1403564232N
and y-component is
Fy=F2+F3,y=0.1036947816N+0.03666164159N=0.1403564232N
Therefore, magnitude of the force experienced by the negative charge is
[tex]F= \sqrt{Fx_{2}+F_{2y} }= \sqrt{(0.1403564232N)^{2}+(0.140356432N)^{2} } =0.198493973N[/tex] =0.198N
correct to the three significant figures.
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A is a 33 matrix with two eigenvalues. each eigenspace is one-dimensional. is a diagonalizable? why?
The answer is "C" i.e No. The sum of the dimensions of the eigenspaces equals nothing and the matrix has 3 columns. The sum of the dimensions of the eigenspace and the number of columns must be equal.
What is a matrix ?
A matrix, sometimes known as matrices, is a rectangular array or table of characters, numbers, or expressions that are arranged in rows and columns to represent a mathematical object or a characteristic of such an entity.
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Question :
5.3.24 A is a 3times3 matrix with two eigenvalues. Each eigenspace is one-dimensional. Is A diagonalizable? Why? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. No. A matrix with 3 columns must have nothing unique eigenvalues in order to be diagonalizable. B. Yes. As long as the collection of eigenvectors spans set of real numbers Rcubed, A is diagonalizable. C. No. The sum of the dimensions of the eigenspaces equals nothing and the matrix has 3 columns. The sum of the dimensions of the eigenspace and the number of columns must be equal. D. Yes. One of the eigenspaces would have nothing unique eigenvectors. Since the eigenvector for the third eigenvalue would also be unique, A must be diagonalizable.
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? ]
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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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 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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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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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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Iven what you know about kw and acid/base chemistry, what will the ph of water be at 283k if the value for kw is 0.29 x 10-14? is this solution acidic, basic, or neutral?
The ph of water is 7.27 and the solution will be neutral.
By the formula:
Kw= [tex][H^{+} ][OH^{-} ][/tex]
Kw= 0.29 x 10^-14
PKw= PH+POH
PKw =14.53
At neutrality, [tex][H^{+} ]=[OH^{-} ][/tex] and
PH=POH
2PH=14.53
PH=7.27
Thus, the pH will be 7.27 and the solution will be neutral.
What do pH values indicate?The pH of water indicates how acidic or basic it is. The scale runs from 0 to 14, with 7 representing neutral. pHs less than 7 indicate acidity, while pHs greater than 7 indicate baseness. The pH of water is a measure of the relative amount of free hydrogen and hydroxyl ions. The pH scale can be traced back to a set of standard solutions whose pH has been determined by international agreement. The potential difference between a hydrogen electrode and a standard electrode, such as the silver chloride electrode, is measured in a concentration cell with transference to determine primary pH standard values.
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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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What is the field of view? that is, what width on the microscope stage, in mm , fills the sensor?
The largest area that can be seen through a microscope eyepiece or a scientific camera is known as the field of vision (FOV) of a microscope, and it is typically expressed as a diameter measurement.
What is field of vision?The size of the visible environment at any particular time is known as the field of vision (FOV). It is a solid angle through which a detector is sensitive to electromagnetic radiation in the case of optical instruments or sensors.
The term "field of view" is normally only used in the context of human and primate vision to refer to a restriction of what is visible by external apparatus, such as when wearing spectacles. The definition allows for eye movements, but when interpreted in this way, they do not alter the field of vision.
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I am riding my bike at 25 m/s, I start to slow down at a rate of -4 m/s2. I slow down for 5 seconds... what is my final velocity?
The final speed of the bike is 5 m/s.
What is velocity?Speed is measured as the ratio of distance to the time in which the distance was covered.
To calculate the final velocity, we use the formula below.
Formula:
v = u+at................ Equation 1
Where:
v = Final velocityu = Initial velocitya = Accelerationt = Time.From the question,
Given:
u = 25 m/sa = -4 m/s²t = 5 secondsSubstitute these values into equation 1
v = 25+(-4×5)v = 25-20v = 5 m/sHence, the final speed of the bike is 5 m/s.
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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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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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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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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 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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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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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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How high a column of sae 30 oil would be required to give the same pressure as 700 mm hg?
Answer:
The height of a column of sae 30 oil required to give the same pressure as 700 mm hg is 10.43 m
Explanation:
First convert the pressure from mmHg to Kpa.
Given that;
1 mHg = 133.322368 Pa
700 mmHg = 93.325679 KPa
Afterwards relate it to the pressure of SAE 30 oil
Note the density of SAE 30 oil is 912kg/m-3
γSAE 30 * h = 93325.6579 Pa
ρSAE 30 * g* h = 93325.6579 Pa
h = 93325.6579 Pa/912kg/m-3 *9.81 ms-2
h =10.43 m
This pressure is then equated with the pressure of sae 30 oil column. It is important to note that the difference in the densities of liquid and difference in the liquid column height all have the same static pressure.
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How much time does she require to walk from one end to the other if she walks in the same direction the sidewalk is moving?
Time taken by the woman if she walks in the same direction the sidewalk is moving is 13 seconds and for the opposite direction, it is 90 seconds.
What is velocity?The ratio of the object's travel distance over a specific period of time is known as its velocity. The magnitude and direction are both necessary for the velocity because it is a vector quantity.
Vw=Velocity of sidewalk = 1.2 m/s
Vs=Velocity of woman = 1.6 m/s
Distance to travel = 36 m
Time = Distance / Speed
If the woman goes in the same direction as the sidewalk, it will take her 13 seconds.
S = ( Vw + Vs ) = t
t = [ 36 / ( 1.6 + 1.2 ) ]
t = 12.857 or 13 seconds
If the woman goes against the flow of the sidewalk, it will take her 90 seconds.
S = ( Vw + Vs ) = t
t = [ 36 / ( 1.6 - 1.2 ) ]
t = 90 seconds
Hence, the time for the same direction is 13 seconds, and for the opposite direction 90 seconds.
The complete question is given below:-
A "moving sidewalk" in an airport terminal building moves at a speed of 1.2 m/s and is of the length of 36.0 m. A woman steps on at one end and walks at a speed of 1.6 m/s relatives to the moving sidewalk. A. How much time does she require to walk from one end to the other if she walks in the same direction the sidewalk is moving?
B. How much time does she require to walk from one end to the other if she walks opposite the direction the sidewalk is moving? Express your answer using two significant figures.
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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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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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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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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.
Can someone solve my vector addition problem I created?
Harry travels 40 meters east and then 45 meters south in an effort to catch the snitch in a quidditch match. At the same time, Voldemort who was 40 meters away, came racing 30 meters west towards Harry, then he went south of west at 25 degrees crashing into harry. What is the resultant vector
The resultant vector is 60.2 meter in a direction 48.6° North of west.
What are resultant vectors?Resultant vectors are the product of the addition of two or more vectors.
The resultant vector is obtained by vector addition methods such as:
Triangle vector addition methodParallelogram law of vector additionDirect additionConsidering the vector addition problem given:
Harry travels 40 meters east and then 45 meters south to catch the snitch in a quidditch match. At the same time, Voldemort who was 40 meters away, came racing 30 meters west towards Harry, then he went south of west at 25 degrees crashing into harry.
The resultant vector of both Harry and Voldemort are the same since the crashed into each other.
Using Harry's movement, the motion forms a right angle triangle of sides 40 m and 45 m
Using Pythagoras' rule:
R = √(40² + 45²)
R = 60.2 meter
α = tan⁻¹(40/45)
α = 41.6
θ = 90 - 41.6
θ = 48.6°
Therefore, the resultant vector is 60.2 meter in a direction 48.6° North of west.
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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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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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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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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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a gas in a cylinder expands from a volume of 0.110m3 to 0.320m3. heat flows into the gas just rapidly enough to keep the pressure constant at 1.65×105pa during the expansion. the total heat added is 1.15×105j.
With the help of the concept of First Law of Thermodynamics , the work done by the gas is 34650 joules, the change in internal energy of the gas is 80440 joules and it will not matter whether or not gas is ideal.
What is the First Law of Thermodynamics?The First law of thermodynamics states that energy can neither be created nor be destroyed, but it can be transferred from one form to another. The First law of thermodynamics states that heat is a form of energy and all the processes follow the principle of conservation of energy. According to first law the internal energy of a system is equal to the difference of the net heat supplied to the system and the net work done by the system,
ΔU=ΔQ-ΔW ,where,
ΔU is the change in internal energy of the system
ΔQ is the heat supplied to the system
ΔW is the net work done by the system
In the question we have been given a gas which expands from initial volume Vi = 0.110 [tex]m^3[/tex]
to final volume of Vf = 0.320 [tex]m^3[/tex],
the total heat supplied in the process is, ΔQ = 1.15×10^5 J.
All the process takes place at a constant pressure P = 1.65×10^5 Pa.(isobaric process)
1) The net work done by the gas for an isobaric process is given by,
ΔW = P(Vf - Vi)
ΔW = (1.65×10^5)(0.320 - 0.110)
ΔW = 34650 J
2)The change in internal energy of the gas is given by,
ΔU = ΔQ - ΔW
ΔU = 1.15×10^5 - 34650
ΔU = 80440 J
3) According to the first law, for an isobaric process the work done by an ideal gas or a real gas is equal under same conditions, hence, it does not matter whether the gas is ideal or real. The first law is applicable for all kind of gases
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