Physical equilibrium is a state of balance where there is no net force or torque acting on an object. This means that the object is either stationary or moving at a constant velocity. In order to achieve physical equilibrium, the forces and torques acting on an object must be balanced.
For example, if a book is placed on a table, it will remain in physical equilibrium as long as the force of gravity pulling it downwards is balanced by the normal force exerted by the table upwards.
Similarly, a person standing on one foot is in physical equilibrium when the force of gravity acting downwards is balanced by the force exerted by the ground upwards.
Physical equilibrium is a state of balance. In the context of your question, physical equilibrium refers to a situation where opposing forces or processes counteract each other, resulting in no net change. This balanced state occurs when the forward and reverse processes occur at equal rates, leading to constant properties such as temperature, pressure, and concentration.
In a chemical reaction, for example, physical equilibrium is achieved when the rate of the forward reaction equals the rate of the reverse reaction, maintaining a constant concentration of reactants and products. In physics, equilibrium can refer to mechanical equilibrium, where forces acting on an object cancel each other out, resulting in no net force or motion.
To summarize, physical equilibrium is a state of balance in which opposing forces or processes effectively neutralize each other, leading to stable and constant conditions.
To know more about equilibrium visit:
https://brainly.com/question/30807709
#SPJ11
a.2 fill in the following information for your global f test (1 point per response/ total 5 points) test: h0: ha: test statistic: p-value: conclusion: g
Whether your linear regression model fits the data better than a model with no independent variables is determined by the F-test of overall significance.
What is F test?When we examine how alternative regression statistics, like R-squared, fit with the F-test of overall significance. How well your model fits the data is indicated by R-squared, and the F-test is related to it.
An extremely adaptable statistical test is the F-test. They have a wide range of applications. F-tests can assess the fits of various linear models since they can examine numerous model terms at once. T-tests, on the other hand, can only evaluate one term at a time.
The F-test of overall significance is the hypothesis test for this relationship. If the overall F-test is significant, you can conclude that R-squared does not equal zero, and the correlation between the model and dependent variable is statistically significant.
Therefore, Whether your linear regression model fits the data better than a model with no independent variables is determined by the F-test of overall significance.
To learn more about F test, refer to the link:
https://brainly.com/question/14099492
#SPJ1
how research is important on gathering necessary information
Thank you !
So if any of ya got like, screenshots of all the answers for Edge, 2020. Lab-Kinetic Energy-student guide, That would be really helpful. If you could help me, then I will mark you brainliest. And for you trollers out there who just want the points, could you not steal them for this one? Anyways, thanks ya'll!
Answer:
has any one finished the lab yet?????
Explanation:
what is the maximum number of dark fringes nfringes of light could this setup produce on the screen?
The maximum number of dark fringes (nfringes) that this setup could produce on the screen depends on the distance between the two slits (d), the wavelength of the light (λ), and the distance between the slits and the screen (D). The formula to calculate the number of fringes is given by:
nfringes = (d*sinθ)/λ
where θ is the angle between the line connecting the center of the two slits and the point on the screen where the fringe is observed. The maximum number of fringes occurs when θ is equal to the first minimum angle, which is given by:
sinθ = λ/d
Substituting this value of sinθ in the above formula, we get:
nfringes = λD/d
Therefore, the maximum number of dark fringes that this setup could produce on the screen is given by λD/d, where λ is the wavelength of the light, D is the distance between the slits and the screen, and d is the distance between the two slits.
To answer your question about the maximum number of dark fringes (n_fringes) that a setup could produce on a screen, I need some additional information about the experimental setup, such as the wavelength of the light source, the distance between the screen and the light source, and the width of the slit or spacing between slits if it's a double-slit experiment. With this information, I can provide a more accurate and helpful answer.
To know more about double slit experiment visit:
https://brainly.com/question/28108126
#SPJ11
A 1000 kg-car rolls down a hill from rest. If the height of the hill is 200m, what is the velocity of the car at the base of the hill? (neglect any friction)
We can solve this problem using the conservation of energy principle, which states that the total mechanical energy (potential energy + kinetic energy) of a system remains constant if no external work is done on the system.
At the top of the hill, the car has only potential energy, given by:
PE = mgh
where m is the mass of the car, g is the acceleration due to gravity, and h is the height of the hill.
PE = (1000 kg) x (9.81 m/s^2) x (200 m) = 1,962,000 J
At the base of the hill, the car has only kinetic energy, given by:
KE = (1/2)mv^2
where v is the velocity of the car.
Using the conservation of energy principle, we can equate the potential energy at the top of the hill to the kinetic energy at the base of the hill:
PE = KE
mgh = (1/2)mv^2
Canceling the mass on both sides, we get:
gh = (1/2)v^2
Solving for v, we get:
v = sqrt(2gh)
Substituting the given values, we get:
v = sqrt(2 x 9.81 m/s^2 x 200 m) = 44.3 m/s
Therefore, the velocity of the car at the base of the hill is approximately 44.3 m/s.
please study spring force and oscillation concepts to answer the following questions. 1. what is simple harmonic motion? what is restoring force? give restoring force for mass-spring system.
The Oscillatory Motion, or simply Oscillation, is the periodic "to and fro" motion of a particle about a point (known as equilibrium or mean position) and restoring force=-Kx.
A force must be exerted on a particle in order for it to engage in oscillatory motion; this force must constantly work to return the particle to its equilibrium or mean position. The term "restoring force" refers to this force. A force must always have a direction that is the opposite of the particle's displacement from its mean position in order to be a restoring force.
Mathematical concept :-Simple Harmonic Motion, or SHM, is a particular kind of oscillation where the restoring force is proportional to the particle's displacement from the mean position.
F∝-x.
F=-Kx.
Here,.
The force that restores is F.
The particle's deviation from the mean position is expressed by the value of x.
Force has a constant called K.
To know more about Oscillatory Motion-
https://brainly.com/question/29484165
#SPJ4
14. Earth goes around the sun at an astonishing speed of about -hold your breath-107 460 643 meters per second. *
1 point
True
False
15. A car is moving around an oval track at a constant speed of 20km/h. Is it accelerating? *
1 point
True
False
Answer: 14 speed of Earth around Sun I see 30 km/s. FALSE
15. Because car is in circle track, direction of velocity changes
And car is in accelerating motion. direction of acceleration points to
The centre of the circle. RIGHT
Explanation:
A 25 kg air compressor is dragged up a rough incline from r⃗ 1=(1.3ı^+1.3ȷ^)m to r⃗ 2=(8.3ı^+4.1ȷ^)m, where the y-axis is vertical. How much work does gravity do on the compressor during this displacement
The work done by gravity on the compressor is -686.7 J.
Calculation-We must first calculate the change in the compressor's gravitational potential energy (U) as it is dragged up the incline to calculate the work done by gravity on it. Several factors determine how gravitational potential energy changes:
ΔU = mgh
where m is the compressor's mass, g is its gravitational acceleration, and h is the compressor's change in height.
The compressor's height has changed as follows:
Δh = y2 - y1
where the y-coordinates of the compressor's initial and final positions are represented by y1 and y2, respectively.
y1 = 1.3 m
y2 = 4.1 m
Δh = y2 - y1 = 4.1 m - 1.3 m = 2.8 m
The acceleration due to gravity is g = 9.81 m/s^2.
The mass of the compressor is given as 25 kg.
As a result, the gravitational potential energy has changed as follows:
686.7 J = U = mgh = (25 kg)(9.81 m/s2)(2.8 m).
The work done by gravity is equal in magnitude but opposite in sign to the change in gravitational potential energy since the compressor is being lifted against the pull of gravity. As a result, the following is the work that gravity does on the compressor during this displacement:
W = -ΔU = -686.7 J
to know more about compressors here:
brainly.com/question/30656501
#SPJ1
If glucose and lactose are both abundant, would it be beneficial for e. Coli cells to express the genes that metabolize lactose? why or why not?.
No, due to the fact lactose is damaged down into glucose, that's already ample. A normal E. coli cell is grown for several hours in the presence of glucose.
If each glucose and lactose are both present, lactose binds to the repressor and stops it from binding to the operator region. The block of lac gene transcription is consequently lifted, and a small amount of mRNA is produced.
Escherichia coli can use the disaccharide lactose as a source of metabolic electricity. Lactose is first transported throughout the plasma membrane by means of the membrane carrier lactose permease, then it is cleaved to free glucose and galactose by the enzymeβ-galactosidase.
Glucose requires fewer steps and less energy to interrupt than lactose. but, if lactose is the best sugar available, the E. coli will cross right ahead and use it as an electricity source. to use lactose, the microorganism should express the lac operon genes, which encode key enzymes for lactose uptake and metabolism.
Learn more about Escherichia coli here:-https://brainly.com/question/24214558
#SPJ4
Question below again
Answer:
Initial velocity of an object
The acceleration of an object
The change in position of an object
Explanation:
In that equation, you are solving for the final velocity of an object.
(III) A 1.60-kg object oscillates at the end of a vertically hanging light spring once every 0.45 s. (a) Write down the equation giving its position y (+upward) as a function of time t. Assume the object started by being compressed 16 cm from the equilibrium position (where y = 0), and released. (b) How long will it take to get to the equilibrium position for the first time? (c) What will be its maximum speed? (d) What will be the object’s maximum acceleration, and where will it first be attained?
(a) y = 0.16cos(15.5t) (b) 0.225 s (c) 0.24 m/s (d) 38.2 \(m/s^2\), at maximum compression. The position equation is y = A cos(ωt + φ), where A is the amplitude, ω is the angular frequency, and φ is the phase angle.
(a) The equation for the position y of an object in simple harmonic motion can be written as y = A cos(ωt + φ), where A is the amplitude, ω is the angular frequency, t is time, and φ is the phase angle.
In this case, the amplitude is 0.16 m (converted from cm),
the angular frequency ω is given by ω = 2πf = 15.5 rad/s (where f = 1/T is the frequency and T is the period), and the phase angle φ is zero since the object starts at maximum compression.
Thus, the equation for y as a function of time is y = 0.16cos(15.5t).
(b) The object will reach the equilibrium position when y = 0. Setting y = 0 in the equation above and solving for t gives t = π/(2ω) = 0.225 s.
(c) The maximum speed of the object occurs at the equilibrium position, where its kinetic energy is a maximum and its potential energy is zero.
At this point, all of the energy is kinetic and is given by KE = (1/2)\(mv^2\), where m is the mass of the object and v is its speed.
Setting the potential energy at maximum compression to zero and solving for v gives v = √(\(kA^{2/m\)), where k is the spring constant.
Using the given values, we find v = 0.24 m/s.
(d) The maximum acceleration of the object occurs at maximum compression and is given by a = -ω^2A = -38.2 \(m/s^2\) (taking upward as positive).
This acceleration is also the magnitude of the net force acting on the object at maximum compression, which is given by F = ma = -kA.
For more such questions on frequency, click on:
https://brainly.com/question/254161
#SPJ11
a driver is going at 120km h and sees a barrier 60.0 m ahead it takes 5secounds to apply the brakes and decelerates at 12m does the driver hot the barrier
Answer:
yes, if you're going at 120 km and you saw the wall that late then it wouldn't me possible to decrease 12 meters in 5 seconds and not hit the wall that's only 60 meters away
Explanation:
The initial velocity of a micro van is 15 m/s. It gains a velocity of 40 ms in 10 seconds. Calculate the average velocity and acceleration of the [Ans: 27.5 m, 25 m/s d/ A racing car starts from rest. If it gains an acceleration of 5m/s in 10 seconds, calculate the final velocity. (Ans: 50 m van.
Answer:
\({ \bf{average \: velocity = \frac{15 + 40}{2}}} \\ = 27.5 \: {ms}^{ - 1} \\ { \bf{acceleration = \frac{v - u}{t} }} \\ = \frac{40 - 15}{10} \\ = 2.5 \: {ms}^{ - 2} \\ \\ { \tt{second \: qn : }} \\ { \bf{final \: velocity =u + at }} \\ v = 0 + (5 \times 10) \\ = 50 \: {ms}^{ - 1} \)
What is the probability of rolling a 6 on a number cube?
I was researching something for some teaching resources when I came across the phrase "six-sided number cube" on the AP Statistics website, which is a sort of Martian-like description of what we call a die in English.
With six numbers, there are 63 potential combinations. In general, the formula shown below can be used to determine how many combinations are possible given a set of n elements: 2n – 1 is the number of combinations with n elements. The equation then reads as follows for 6 elements. 6 elements could be combined in 720 different ways using the formula 6*5*4*3*2. If you have the option, you can alter the order of the components in a way that uses less of each.
To know more about six-sided number cubes,
https://brainly.com/question/1000536
#SPJ4
Which sentences describe disadvantages of burning fossil fuels instead of using hydrogen fuel cells?
Burning fossil fuels contributes to climate change.
Burning fossil fuels takes place inside expensive fuel cells.
Fossil fuels aren’t widely available, but pure hydrogen is.
Fossil fuels are nonrenewable.
Answer:
Burning fossil fuels contributes to climate change.
Fossil fuels are nonrenewable.
Explanation:
Fossil fuels are fuels formed from the remains of dead organic matters that have long been buried under the ground while hydrogen fuel cells are formed from electrochemical reactions.
Fossil fuel burning creates pollution in the environment and some of the pollutants generated contribute to global warming and associated climate change. This is as opposed to fuel cells that generate power through electrochemical reactions and whose products can be converted for other uses.
Also, fossil fuel deposits are finite and non-renewable. Once their deposits become exhausted, there is no way to artificially regenerate them unlike fuel cells.
Answer:
i hope this helps
Explanation:
How would gravity cause planets to move if they did not have inertia?
A. Planets would orbit Jupiter, the largest planet
B. Planets would run into one another
C. Planets would be pulled into the sun
D. Planets would move in a straight line away from the sun
Answer: Planets would be pulled into the sun
Explanation:
This is the correct answer.
A strong gust of wind hits a falcon coasting through the sky. The force of the wind on the falcon is 1.3 N, and the wind blows for 1.8 s. What is the magnitude of change to the falcon’s momentum?
A. 0.87 kg m/s
B. 1.2 kg m/s
C. 1.9 kg m/s
D. 2.3 kg m/s
Answer:
2.3 kg m/s
Explanation:
An appropriate speed for glacial movement generally is:
six centimeters a year
one meter a week
one meter per hour
two hundred kilometers a year
An appropriate speed for glacial movement generally is six centimeters a year.
What is a glacier?A glacier is a vast, slow-moving mass of snow and ice that collects in mountain valleys and spreads outwards, frequently flowing like a very slow river. It forms when snow accumulation exceeds snowmelt, and the compacted snow transforms into ice, a process known as "firnification." This ice subsequently flows downhill under the weight of additional snow accumulation, occasionally for hundreds of miles.
What is the speed of glacier movement?Glaciers can move up to several meters per day, but they typically move at a much slower pace. Even though the speed of a glacier might vary widely based on factors like slope, basal conditions, temperature, and ice thickness, a reasonable speed for glacial movement is six centimeters a year. Furthermore, the rate of movement can vary depending on the time of year and the time of day.
learn more about glacier here
https://brainly.com/question/2142179
#SPJ11
A video recorder is loaded with a tape which plays for 180 minutes.
The length of the tape is 260 m.
(a) (i) Calculate the speed of the tape, in metres per minute.
The speed of the tape, in metres per minute is 1.44 meter per minute
What is speed?Speed is the distance travelled per unit. Mathematically, it can be expressed as:
Speed = distance / time
With the above formula, we can obtain the speed of the tape. Details below
How to determine the speed of the tapeThe following data were obtained from the question:
Distance = 260 mTime = 180 minutesSpeed =?The speed of the tape can be obtained as illustrated below:
Speed = distance / time
Speed = 260 / 180
Speed = 1.44 meter per minute
Thus, the speed of the tape is 1.44 meter per minute
Learn more about speed:
https://brainly.com/question/680492
#SPJ1
how do you build a sticky piston door
Answer:
it can be built in mine craft
Explanation:
Answer:
put 2 pistons on each side and then put the block you want the door to be and power it with redstone
earth exerts a gravitational force on the moon, keeping it in its orbit, the reaction to this force, in the sense of newton's third law is
According to Newton's third law, the response to this force is, the gravitational force exerted on Earth by the Moon.
What is gravitational force?Newton's Third Laws are a pair that describe the gravitational attractions of the Earth and Moon. If object A applies a force to object B, consequently object B must apply a force to object A in the opposite direction and of equal strength. Equal and opposing gravitational pulls are exerted by the Earth's gravity on the Moon and the Moon's gravity on the Earth. The Earth's gravity keeps the Moon in an orbit around us. The direction of the Moon's motion is continually changing. This indicates that, despite moving at a constant pace, the Moon is always accelerating due to gravity. Therefore, there is a gravitational force exerted on Earth by the Moon.
To know more about gravitation, visit:
https://brainly.com/question/12528243
#SPJ4
orlat
Part A
When the bag with the original filling is kicked, the athlete feels a maximum force of 1,500 newtons from the bag.
Complete the statement by selecting the choices that describe the force exerted on the bag.
The maximum force that the athlete exerts on the bag is equal to
1,500 newtons and in the
same direction as the force that the bag exerts on the athlete.
A
PLEASE HELP BRAINLIEST TO THE PERSON WHO GETS IT RIGHT
The maximum force that the athlete exerts on the bag is equal to 1,500 N and in the opposite direction as the force that the bag exerts on the athlete.
Newton's third law of motionNewton's third law of motion states that action and reaction are equal and opposite.
Fa = -Fb
The force exerted by the athlete on the bag is equal to the force the bag exerted on the athlete but in opposite direction.
Thus, the maximum force that the athlete exerts on the bag is equal to 1,500 newtons and in the opposite direction as the force that the bag exerts on the athlete.
Learn more about force here: https://brainly.com/question/12970081
#SPJ1
FLUID CLUTCHES ARE USED ON EQUIPMENT THAT IS SUBJECT TO
a. SHOCKING LEADING
B. MISALIGNMENT
C. FREQUENT STOPPING
D. CONTINUOUS RUNNING
Fluid clutches are used on equipment that is subject to frequent stopping.
Fluid couplings are used in various equipment in which the rotational torque must be transferred smoothly and without shock from the motor to the driven machine.
They are characterized by high transmittable torque and power, quick response times, and a good damping effect.
It absorbs and smooths torsional vibrations from the driveshaft, resulting in a longer lifespan of the drive components.
Equipment that is subject to frequent stopping.
For equipment that is subject to frequent stopping, fluid clutches are commonly used.
This is due to the fact that fluid clutches may be started and stopped frequently without causing harm or wear to the machine.
For this reason, fluid clutches are commonly used in machinery that needs a smooth start and stop, which is important to avoid any harm to the machinery.
In addition, fluid clutches are also less likely to slip, making them ideal for continuous running machines.
To know more about damping effect, visit:
https://brainly.com/question/31693975
#SPJ11
Fluid clutches are used on equipment that is subject to frequent stopping. The correct answer is option C.
A fluid clutch is a type of mechanical device that transmits torque and rotational power from one shaft to another via a fluid.
Fluid clutches are used to couple two rotating shafts and control the amount of torque transferred between them.
Fluid clutches are used in many types of industrial machinery, including printing presses, machine tools, and pumps, as well as in cars and other vehicles.
These clutches can handle higher torque and power loads than most other types of clutches, making them well suited for heavy-duty applications.
They are most commonly used on equipment that is subject to frequent stopping, such as industrial machines and vehicles, but can also be used on equipment that is subject to other forms of stress, such as misalignment and continuous running. So, the correct answer is option C.
To know more about Fluid, visit:
https://brainly.com/question/6329574
#SPJ11
A __________ is an abnormal crackling, rattling, or bubbling sound heard on auscultation of the chest.
A __rales ________ is an abnormal crackling, rattling, or bubbling sound heard on auscultation of the chest.
What are rales ?
Rales are an abnormal sound heard accompanying the normal respiratory sounds on auscultation of the chest
Rales heard over the lung bases are a sign of of heart failure that is of at least moderate severity. With acute pulmonary edema, rales are frequently accompanied by wheezing and expectoration of frothy, blood-tinged sputum.
learn more about rales:
https://brainly.com/question/14988695?referrer=searchResults
#SPJ2
A butterfly flutters at a rate of 18 feet per minute. This is an example of
A butterfly flutters at a rate of 18 feet per minute. This is an example of speed .
Speed is defined as. The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered.
In the above question " A butterfly flutters at a rate of 18 feet per minute " , it can be observed that there is a magnitude as well as unit .
here , the magnitude is 18 and the unit is feet per minute , which is a unit of speed as the SI unit of speed is m/s .
hence , this is an example of speed as speed is been measured by this unit .
To learn more about speed here
https://brainly.com/question/28224010
#SPJ1
How could high-latitude scintillation occur equatorward of the
auroral boundary?
Radio waves traveling through the ionosphere at high latitudes experience quick and unpredictable oscillations, which is known as high-latitude scintillation.
The auroral border, or area of the ionosphere where the aurora borealis (northern lights) appear, is typically connected with scintillation. However, high-latitude scintillation can occasionally be seen equatorward of the auroral boundary depending on the circumstances. The cause of this phenomenon is the presence of ionospheric irregularities that go beyond the auroral oval, such as irregularities in plasma density brought on by equatorial spread F (ESF). ESF can produce significant ionosphere-wide anomalies that lead to scintillation at lower latitudes. This may occur when the sun is active more intensely or when particular ionospheric circumstances favor the production of these anomalies.
To know more about ionosphere, here
brainly.com/question/30764330
#SPJ4
Select the compensator zero to cancel one pole of GHP(z) {other than z=1}. α = Determine 3 based on the angle condition: zeros - 4poles = 180° You need to draw a figure as the Figure below to calculate ß = Im z-plane z = a + ib Zero of GHP(Z) Zzero Zpole(B) 0 B Figure: Determine ß Zpole(1) pole 1 of GHP(z) Re
The angle condition is: Zzero- (pole(1) + 4pole(B))= 180º Zzero = Zpole(1) = Zpole(B) = Determine the compensator gain k based on magnitude condition: z-α Gc (2) GHP (2)|2=a+ jb = 1 → k Ghp(2) = 1 z-ß |z=a+jb 1 k z-α GHP(z) |z-ß |z=a+jb Write down the final compensator (PID Controller) transfer function Gc(z)=kz-a z-ß
Analyze system dynamics and design compensator to achieve desired response by selecting compensator zero and canceling one pole of GHP(z).
How to select the compensator zero cancel one pole of GHP(z)?To select a compensator zero to cancel one pole of GHP(z), we need to use the given angle condition:
Zzero - (pole(1) + Zpole(B)) = 180°
Here, Zzero represents the compensator zero, pole(1) represents the first pole of GHP(z), and Zpole(B) represents the compensator pole.
Let's proceed with the solution step by step:
1. First, we need to determine the value of Zzero. The angle condition states that Zzero = Zpole(1), which means the compensator zero is equal to the first pole of GHP(z).
2. Now, we need to find the value of Zpole(B). We can rewrite the angle condition as follows:
Zpole(B) = Zzero - pole(1) + 180°
Since we already know that Zzero = Zpole(1), we can substitute Zzero in the above equation:
Zpole(B) = Zpole(1) - pole(1) + 180°
Simplifying further:
Zpole(B) = 180°
Therefore, the value of Zpole(B) is 180°.
To summarize, we can select the compensator zero (Zzero) to cancel one pole of GHP(z) as Zpole(1), and the compensator pole (Zpole(B)) is determined to be 180° based on the given angle condition.
Learn more about compensator
brainly.com/question/11212342
#SPJ11
Mutations in sections of DNA can be caused by all of the following EXCEPT
Question 2 options:
Viruses
Chemicals
Ultraviolet Radiation
Sexual Reproduction
Answer:
sexual reproduction
Explanation:
What statement describes a way electromagnetic waves are different from mechanical waves
Answer:
electromagnetic waves can travel through a vacuum where as mechanical waves have to have a medium to travel
Explanation:
The diagram shows two forces acting perpendicularly on an object. The forces have magnitudes F1 = 8.2 N and F2 = 20.6 N. What is the net force acting on the object?
a) magnitude 22 N; direction 68 degrees counterclockwise from
b) magnitude 22 N; direction 22° counterclockwise from
c) magnitude 25 N; direction 34° counterclockwise from
d) magnitude 25 N; direction 68° counterclockwise from
Answer:
Option (b).
Explanation:
Two forces are acting perpendicularly on an object. We have, F₁ = 8.2 N and F₂ = 20.6 N
We need to find the net force acting on the object. When two forces are acting in perpendicular to each other, the net force on it is given by :
\(F=\sqrt{F_1^2+F_2^2} \\\\=\sqrt{8.2^2+20.6^2} \\\\=22.17\ N\)
or
F = 22 N
Let \(\theta\) is the angle. It can be given by :
\(\tan\theta=\dfrac{F_1}{F_2}\\\\\tan\theta=\dfrac{8.2}{20.6}\\\\=21.7^{\circ}\)
or
\(\theta=22^{\circ}\)
So, the net force is 22 N and the direction is 22° counterclockwise from F₁. Hence, the correct option is (b).