The formula to calculate the mass of gas remaining in the cylinder is: \(m_f = m_i * (P_gf + P_0) / (P_gi + P_0)\)
1. Start with the given formula: \(m_f = m_i * (P_gf + P_0) / (P_gi + P_0)\).
2. This formula relates the initial mass of gas (\(m_i\)) with the final mass of gas (\(m_f\)) using the gauge pressures (\(P_gi\) and \(P_gf\)) and the exterior pressure (P₀).
3. The gauge pressure is the difference between the interior pressure and the exterior pressure. It is denoted as\(P_g\).
4. Assuming the temperature of the cylinder remains constant, we can use this formula to calculate the mass of gas remaining in the cylinder.
5. Plug in the values for the gauge pressures (\(P_gi\) and \(P_gf\)) and the exterior pressure (\(P_0\)) to calculate the final mass of gas remaining in the cylinder (m_f).
In summary, the mass of the gas remaining in the cylinder when the pressure reading is \(P_gf\)is given by the formula: \(m_f = m_i * (P_gf + P_0) / (P_gi + P_0)\).
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A satellite in space took a picture of a double eclipse when both Earth and the Moon moved between the satellite and the Sun at the same time. Some students claim that they could see a double eclipse from Earth if a lunar and a solar eclipse happened at the same time. They wonder if they could ever see that type of double eclipse from their town.
If a double eclipse were to occur with a lunar eclipse and a solar eclipse happening simultaneously, it would be possible to observe a double eclipse from a specific town on Earth. This would be an extraordinary and rare event, as it would require precise alignment and timing of both the Earth, Moon, and Sun. However, it is important to note that such a simultaneous occurrence of a lunar and solar eclipse is highly improbable in reality.
When a substance changes from one phase to another, which of the following occurs?
ОА.
The substance loses or gains heat.
OB.
The average kinetic energy of the substance changes.
OC.
The temperature of the substance changes.
OD
The molecular motion of the substance changes.
Answer:
D
Explanation:
Hope this helped
three identical conducting spheres are arranged on insulating stands and equally spaced, as shown. sphere 1 initially has a net charge of q0 , while spheres 2 and 3 are initially uncharged. sphere 1 is touched briefly to sphere 2 and moved away; then sphere 2 is touched briefly to sphere 3 and moved away. question an external force moves sphere 3 a distance d to the right, and sphere 3 returns to rest. during this process, the external force does an amount of work w on sphere 3. how much total work do the electric forces from spheres 1 and 2 do on the system containing only sphere 3 during this process?
The total work done on sphere 3 during this process is equal to the work done by the external force that moves it to the right, which is given by w.
Since Spheres 1 and 2 are identical and equidistant from Sphere 3, they will exert equal and opposite forces on Sphere 3.
Therefore, the net force on sphere 3 due to spheres 1 and 2 is zero, and no work is done by their electric forces on sphere 3 during the process of moving it.
An external force refers to a force that acts on an object from outside the system being studied. It is a force that is not generated by the object itself, but rather comes from the environment or other objects in the system. External forces can cause changes in an object's motion, such as a change in velocity or direction. For example, when a ball is kicked, the force of the foot on the ball is an external force that causes the ball to move.
External forces can also be classified as contact or non-contact forces. Contact forces are those that require physical contact between two objects, such as friction or tension. Non-contact forces, on the other hand, act at a distance, such as gravitational or electromagnetic forces.
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Creative Writing: Write a journal entry assuming the identity of a colonial
settler starting a new life in one of the three regions. What do you like about the
region? What are your struggles? What economic opportunities have you found?
The complete journal entry have been shown in the writing that is below here.
How do you write the journal entry?Dear Journal,
I am a colonial settler who has recently arrived in the New World to start a new life in one of the three regions. After much consideration, I have chosen to settle in the Southern colonies. The warm climate and fertile soil are perfect for growing crops such as tobacco, cotton, and indigo. I also appreciate the coastal location, which provides easy access to trade and transportation.
However, life as a colonial settler is not without its struggles. For one, the threat of disease and illness is always present, and the lack of medical resources can be concerning. Additionally, I am constantly wary of attacks from Native American tribes who view us as invaders. Nevertheless, I am determined to make the best of this opportunity and establish a successful life in the New World.
On a more positive note, I have found a number of economic opportunities in the Southern colonies. The growth of the tobacco industry has been particularly promising, and I have already begun planting crops in hopes of a bountiful harvest. I have also established relationships with other settlers and traders, and I am confident that my business ventures will continue to expand.
Overall, I am excited for this new chapter of my life and grateful for the opportunities that the Southern colonies have presented. While there will undoubtedly be challenges along the way, I am determined to make a successful life for myself and my family in this promising new land.
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Find the current in amperes if 96 mC of charge pass through a wire in 8.4 s.
Answer:
Approximately 11.43
Explanation:
Using the formula charge=current×time
then current=charge/time. That then will be C=96/8.4=11.4285714286 so approximately 11.43
The current would be 825.6 × 10⁻³ amperes if 96 mC of charge passes through a wire in 8.4 seconds .
What is an electric charge ?
Due to the physical characteristic of electric charge, charged material experiences a force when it is exposed to an electromagnetic field.
The charge on one electron is -1.6 ×10⁻¹⁹ coulomb.
As given in the problem we have to find the current in ampere if 96 mC of charge passes through a wire in 8.4 seconds ,
9.6 mC = 9.6 × 10 ⁻³ Coulombs
The electric current = electric charge × time period
= 9.6 × 10 ⁻³ × 8.6
= 825.6 × 10 ⁻³ ampere
Thus, the current would be 825.6 × 10 ⁻³ amperes if 96 mC of charge passes through a wire in 8.4 seconds .
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Figure 17 is a position-time graph of the motion of a basketball thrown straight up. Use the graph to sketch the path of the basketball and to sketch a velocity-time graph of the basketball’s motion. a. Is the velocity of the basketball constant? b. Is the acceleration of the basketball constant? c. What is the initial velocity of the basketball?
a. No, the velocity of the basketball is not constant, b. No, the acceleration of the basketball is not constant, c. The initial velocity of the basketball is zero.
What is velocity?Velocity is the speed of an object in a given direction. It is a vector quantity, meaning it has both a magnitude and a direction. It is usually measured in meters per second (m/s). Velocity can also be expressed in other units, such as kilometers per hour (km/h). Velocity is an important concept in physics, and is used to describe the motion of objects in a variety of situations, such as projectiles and waves. It is also used to calculate force, momentum, and energy. In order to calculate velocity, one needs to know both the object's displacement (change in position) and the time it took for the object to move from its starting point to its final position.
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the ability to do activities for more than a few minutes is
"Endurance" is the capacity to perform tasks for longer than a few minutes. Endurance, which typically refers to aerobic capacity, is the capacity to maintain an activity for prolonged periods of time.
Define the term Endurance and its features?Endurance, which typically refers to aerobic capacity, is the capacity to maintain an activity for prolonged periods of time.
The ability to withstand muscular fatigue and the capacity to sustain a particular type of contraction are the best definitions of local muscle endurance, which is often expressed in terms of repetitions. Muscular endurance depends on aerobic metabolism, just like aerobic endurance.The capacity of a muscle or a muscle group to sustain repeated contractions against such a force over a prolonged period of time is known as muscular endurance.The more repetitions you could perform, the stronger your muscle endurance was.
Increased metabolism as a result of being able to perform active activities for longerreduced exhaustion while exercisedecent posturefewer accidentsless likelihood of back issues because trunk muscles have become more resilient.improved athletic performanceimproved training methods for a variety of workoutsTo know more about the Endurance, here
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how many types Of Ornital does the atomic orbital have ?
Answer:
There are four types of orbitals that you should be familiar with s, p, d and f (sharp, principle, diffuse and fundamental). Within each shell of an atom there are some combinations of orbitals
How much work must be done on a spring with a spring constant of 80 N/m to stretch the spring 20 cm?
The amount of work that must be done on the spring to stretch it to 20 cm is 1.6 J.
What is the amount of work done on the spring?The amount of work done on the spring is calculated by applying the following formula as shown below.
W = ¹/₂kx²
where;
k is the spring constantx is the extension of the springThe amount of work that must be done on the spring to stretch it to 20 cm is calculated as follows;
W = ¹/₂ x ( 80 N/m ) x ( 0.2 m ) ²
W = 1.6 J
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What variables have the most effect on the strength of the gravitational attraction between two massive objects?
Help
Answer:
The distance between the 2 centers of the object.
Explanation:
If it's harder to win a super bowl for the rams than the gravity means the chiefs will win it.
A 75,000-watt radio station transmits at 88 MHz. Determine the number of joules transmitted per second. 88 J/s 8800 J/s 2,000,000 J/s 75,000 J/s
Answer:
the first one is the correct answer
An astronomy textbook, when printed out, weighs four pounds on the surface of the Earth. After finishing your course, you are so tired of the book, you arrange for NASA to shoot it into space. When it is twice as far from the center of the Earth than when you were reading it, what would it weigh
Its weight would be one-quarter its weight on Earth when it is twice as far from the center of the Earth.
Newton's law of universal gravitationAccording to Newton's law of universal gravitation, when the astronomy textbook is on the earth, its weight, W equals the force of attraction of the earth on it, F.
So, W = F = GMm/R² where
G = universal gravitational constant, M = mass of earth, m = mass of astronomy textbook and R = distance of astronomy textbook from earth's center.New weight of astronomy textbookNow, when the astronomy textbook is shot into space at a distance twice its initial distance, that is R' = 2R, its new weight, W' is
W' = GMm/R'²
Substituting the value of R' into the equation, we have
W' = GMm/(2R)²
W' = GMm/4R²
W' = W/4 (since W = GMm/R²)
So, its weight would be one-quarter its weight on Earth when it is twice as far from the center of the Earth.
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a mouse of mass 27.0 g falls 200 m down a vertical mine shaft and lands at the bottom with a speed of 8.1 m/s. during its fall, how much work (in j) is done on the mouse by air resistance?
Work is done on the mouse by air resistance 25.574 Joule.
Work is done every time a force moves something over a displacement. you can calculate the electricity transferred, or paintings done, by using multiplying the force via the gap moved in the course of the force. strength transferred = work achieved = pressure x distance moved within the direction of the pressure.
Work to be accomplished, a force must be exerted and there must be motion or displacement in the route of the pressure. The work done by way of a force appearing on an object is the same as the significance of the pressure accelerated by way of the space moved within the route of the force.
given,
mass = 27.0 g = 0.027 kg
Height H = 200 m
initial speed u = 0 m/s
final speed V = 8.1 m/s
force = mg
= 0.027 × 9.8
= 0.2646 N
1/2mu² + mgh = mgh + 1/2mv²
0 + 0.027×9.8 ×100 = 0 + 1/2×0.027× (8.1)² + air reesistance
initial energy = 26.46 J
final energy = 0.886 J
air resistance = 26.46 J - 0.886 J
= 25.574 Joule
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6. If a bicyclist, with initial velocity of zero, steadily gained speed until reaching a final velocity of 39m/s, how far would she travel
during the race in the same amount of time)?
Answer:
175 m
Explanation:
The average velocity for constant acceleration is the average of the beginning and ending velocities. That is (0+39)/2=19.5 m/s. If the bicyclist rides for 9 seconds, the distance traveled is ...
(9 s)(19.5 m/s) = 175.5 m
She would travel 175.5 meters in that time.
The distance traveled by the bicyclist at the same time period is 175.5 m.
Your question not complete, i believe it is missing this additional information below:
"Seven bicyclist are racing. Each bicyclist rides for 9s, If a bicyclist, with initial velocity of zero, steadily gained speed until reaching a final velocity of 39m/s, how far would she travel during the race in the same amount of time?"
The given parameter:
initial velocity of the bicyclist, u = 0
final velocity of the bicyclist, v = 39 m/s
time of motion of the each bicyclist, t = 9s
To find:
The distance traveled by the bicyclistLet the distance traveled by the bicyclist = s
The distance traveled by the bicyclist at the same time period is calculated as;
\(s = (\frac{u+v}{2} )t\\\\s = (\frac{0 + 39}{2} ) \times 9\\\\s = 19.5 \times 9\\\\s = 175.5 \ m\)
Thus, the distance traveled by the bicyclist at the same time period is 175.5 m.
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Need a lot of help very and fustian to me
Using the free body diagram, let's determine the scenario the diagram illustrates.
From the free body diagram, we can see that the weight is acting on the object while the tension will be the force which supports the object.
The tension in this case, helps hang the object while the weight is the product of the mass of the object and the force of gravity acting on the object.
Tension can be defined as the pulling force transmitted through a rope or string.
Therefore, the best scenario which is represented by the free body diagram is a sign board supported by two strings.
ANSWER:
A signboard supported by
Please help i will Mark it Brainly
Answer:
2nd one :)
Explanation:
Answer: the second one
Explanation:
An equal amount of a gas is held in two identical containers. The temperature of container 1 is 15°C and the temperature of container 2 is 30°C. In which container will the pressure be lowest? (Assume there is nothing else inside the containers.)
Answer:
Container 1
Explanation:
The reason why there will be less pressure in container 1 is that it's colder than container 2. You must have learned right, that a colder thing has its molecules less moving, and they don't expand, instead they actually decrease in volume? In the same way, it's applied to gas also. So that's why, because container 1 has 15C temperature, which is half less than container 2's 30C, that's why, container 1 has less pressure than Container 2.
So hence, container 1 has less pressure than container 2 because of its a lower temperature, which doesn't make the molecules expand, and move around that much.
THANKS!
The diagram shows the water levels inside the containers.
A)91 cm
B) 34 cm ( the water levels)
•) The density of water is 1000 kg/m²
ii) Calculate the pressure that the water causes at the base of container A.
Answer:
8927.1 Pa
Explanation:
pressure = height x density of liquid x g
= (91/100) x 1000 x 9.81
= 8927.1 Pa
2. A metal cube with an edge length x is expanding uniformly as a consequence
of being heated. Find the:
(a) Change in volume of the cube as x increases from 2.00 to 2.01 centimeters.
(b) Average rate of change of volume of the cube with respect to an edge length as x
increases from 2.00 to 2.01 centimeters.
(c) Instantaneous rate of change of volume of the cube with respect to an edge length
at the instant when x = 2 centimeters.
3. Use the definition of the derivative to find the equation of the line that passes through
the point (1, 5) and is parallel to the tangent line to f (x) = 1
x at x = 3.
A. the change in volume of the cube is approximately 0.120601 cm^3. B. the average rate of change of volume of the cube with respect to an edge length is approximately 12.0601 cm^3/cm. C. the equation of the line that passes through the point (1, 5) and is parallel to the tangent line to f(x) = 1/x at x = 3 is y = (-1/9)x + 14/9.
(a) To find the change in volume of the cube as x increases from 2.00 to 2.01 centimeters, we need to calculate the difference in volume between these two values.
The volume of a cube is given by V = x^3, where x is the edge length.
For x = 2.00 cm, the volume V1 = (2.00 cm)^3 = 8.00 cm^3.
For x = 2.01 cm, the volume V2 = (2.01 cm)^3 = 8.120601 cm^3.
The change in volume is ΔV = V2 - V1 = 8.120601 cm^3 - 8.00 cm^3 ≈ 0.120601 cm^3.
Therefore, the change in volume of the cube is approximately 0.120601 cm^3.
(b) The average rate of change of volume of the cube with respect to an edge length as x increases from 2.00 to 2.01 centimeters can be calculated by dividing the change in volume by the change in edge length.
ΔV = 0.120601 cm^3 (from part a)
Δx = 2.01 cm - 2.00 cm = 0.01 cm
The average rate of change of volume is ΔV/Δx = 0.120601 cm^3 / 0.01 cm ≈ 12.0601 cm^3/cm.
Therefore, the average rate of change of volume of the cube with respect to an edge length is approximately 12.0601 cm^3/cm.
(c) The instantaneous rate of change of volume of the cube with respect to an edge length at the instant when x = 2 centimeters can be found by taking the derivative of the volume function V = x^3 with respect to x and evaluating it at x = 2.
dV/dx = 3x^2
At x = 2 cm, the instantaneous rate of change of volume is dV/dx evaluated at x = 2:
dV/dx = 3(2 cm)^2 = 12 cm^2.
Therefore, the instantaneous rate of change of volume of the cube with respect to an edge length at x = 2 centimeters is 12 cm^2.
To find the equation of the line that passes through the point (1, 5) and is parallel to the tangent line to f(x) = 1/x at x = 3, we need to determine the slope of the tangent line.
The derivative of f(x) = 1/x is given by f'(x) = -1/x^2.
At x = 3, the slope of the tangent line is f'(3) = -1/(3^2) = -1/9.
Since the line we want to find is parallel to the tangent line, it will have the same slope. So the slope of the line is -1/9.
Using the point-slope form of a linear equation, we can write the equation of the line as:
y - y1 = m(x - x1),
where (x1, y1) is the given point (1, 5) and m is the slope.
Substituting the values, we have:
y - 5 = (-1/9)(x - 1).
Expanding and rearranging the equation, we get:
y = (-1/9)x + 14/9.
Therefore, the equation of the line that passes through the point (1, 5) and is parallel to the tangent line to f(x) = 1/x at x = 3 is y = (-1/9)x + 14/9.
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a 74 kw radio station broadcasts its signal uniformly in all directions. part a what is the average intensity of its signal at a distance of 240 m from the antenna? express your answer using two significant figures. activate to select the appropriates template from the following choices. operate up and down arrow for selection and press enter to choose the input value typeactivate to select the appropriates symbol from the following choices. operate up and down arrow for selection and press enter to choose the input value type iav
The average intensity of a 74 kW radio station's signal at a distance of 240 m from the antenna is approximately 0.102 W/m²
The intensity of a signal from a radio station decreases as the distance from the source increases, following the inverse-square law. To calculate the intensity at a specific distance, we need to know the power output of the radio station and the surface area of the sphere that the signal propagates through.
In this case, we know that the radio station has a power output of 74 kW, and we can calculate the surface area of the sphere with a radius of 240 m using the formula 4πr². Dividing the power output by the surface area gives us the average intensity of the signal at that distance.
The resulting value of 0.102 W/m² indicates that the signal is relatively weak at a distance of 240 m, which is to be expected due to the inverse-square law. However, it's worth noting that the intensity of a signal isn't the only factor that affects its strength at a particular location. Other factors such as obstacles, atmospheric conditions, and the design of the receiving antenna can also influence the quality of the received signal.
Hence, the average intensity of a 74 kW radio station's signal at a distance of 240 m is relatively low at approximately 0.102 W/m², as calculated using the inverse-square law and the surface area formula. However, other factors can also affect the strength and quality of the received signal.
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A galaxy moves away from the Earth at a speed of 3.9 × 104 km/s.
The speed of light is 3.0 × 105 km/s.
Light from the galaxy is emitted with a wavelength of 6.2 × 10−7 m.
Calculate the change in the wavelength of the light that is received by an observer on the Earth.
The change in the wavelength of light due to the relative motion of the source and observer is given by the equation:
Δλ/λ = v/c
where Δλ is the change in wavelength, λ is the original wavelength, v is the relative velocity between the source and observer, and c is the speed of light.
Plugging in the values given in the problem, we get:
Δλ/6.2 × 10−7 m = 3.9 × 104 km/s / 3.0 × 105 km/s
Simplifying this expression, we get:
Δλ = 1.02 × 10^-7 m
Therefore, the change in the wavelength of light that is received by an observer on the Earth is 1.02 × 10^-7 m.
What does a capacity plate indicate safe load limit?
The capacity plate tells us about the maximum load or the maximum number of people that can be carried by a vehicle.
In boats, the maximum load is measured by the capacity plate Quizlet. The maximum load for a particular region is issued by the authority of that region, which is strictly mandatory to follow. Any violation can lead to strict punishment. Load limit can be calculated by subtracting curb weight from GVWR.
Load limit= GVWR- curb weight
By staying within the load limit one can increase the life of a vehicle also. It is also for human safety purposes.
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Earthquakes are especially associated with ___ boundaries
a 100kg car travels at 2m/s. what is the momentum in kg
Answer:
200 kg.m/sExplanation:
The momentum of an object can be found by using the formula
momentum = mass × velocity
From the question we have
momentum = 100 × 2
We have the final answer as
200 kg.m/sHope this helps you
Bx = -1.33 m and By = 2.81 m
Find the magnitude of the
vector.
Answer:
Explanation:
The formula for the magnitude of a vector is
\(B_{mag}=\sqrt{(-1.33)^2+(2.81)^2}\) and then round to the hundredths place:
3.11 m. Since we are in Q2, we can also find the direction of this vector:
\(tan^{-1}(\frac{2.81}{-1.33})=-64.7\) but since we are in Q2, we add 180 degrees to the result, getting the angle to be 115.3
Answer:115.33
Explanation:
Which are ways in which heat energy leaves the surface of land masses? select the three correct answers.
It is accurate to say that infrared energy, conduction to air later rising in convection, and evaporation are the processes in which the heat energy so produced exits the surface of land masses.
Fluid or gas particles are frequently moved by convection currents. These are produced as a result of variations in a particular gas or fluid's density and temperature. One of the two ways to transmit heat is through convection; the other two are through radiation and conduction. Only fluids, such as liquids and gases, undergo the convection process. This occurs because molecules within liquids and gases are free to move.
The difference in temperature between the two portions of the fluid can cause the convection process, which transfers heat energy. This temperature differential causes hot fluids to have a tendency to ascend while cold fluids have a tendency to sink.
The correct question is:
Which are ways in which heat energy leaves the surface of land masses? Select the three correct answers.(2 points)
a).evaporation
b).glacial motion
c).animal activity
d).conduction to air, which then rises in convection
e).plant growth
f).radiation of infrared energy
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A planes kaverage speed between two cities is 610 km/hr. If the trip takes 2. 25 hrs. How far dose the plane fly
A planes average speed between two cities is 610 km/hr. If the trip takes 2. 25 hrs, then the distance covered by a plane is 1372.5 kilometers.
To calculate the distance the plane flies, we can use the formula:
Distance = Speed × Time
Given that the average speed of the plane is 610 km/hr and the trip takes 2.25 hours, we can substitute these values into the formula to find the distance.
Distance = 610 km/hr × 2.25 hrs
To multiply these values, we need to align the units correctly. By canceling out "hrs" in the numerator and denominator, we get:
Distance = 610 km × 2.25
Multiplying 610 km by 2.25 gives us:
Distance = 1372.5 km
Therefore, the plane flies a distance of 1372.5 kilometers.
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Given that a plane's average speed between two cities is 610 km/hr and the trip takes 2.25 hrs. We are to find the distance covered by the plane The plane flies 1372.5 km
Let's find the solution to this problem .The formula for distance, speed and time isd
= s * there,
d = distance covered by the planes
= speed t
= time taken
Substituting the given values, we have610 × 2.25 = 1372.5 km
Hence, the plane flies 1372.5 km.
Given that a plane's average speed between two cities is 610 km/hr and the trip takes 2.25 hrs. We are to find the distance covered by the plane
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What are dogs trained to do when they find an explosive device?.
Answer:
They sit or lay quietly
Explanation:
That's what they are trained to do when they find a explosive device
What sort of force is magnetism?
pls help ASAP :)
no links pls
Answer:
Magnetism is one aspect of the combined electromagnetic force. It refers to physical phenomena arising from the force caused by magnets, objects that produce fields that attract or repel other objects.
one side of a vertical garden fence has an area of 4 squared .A strong wind blows on one side of the fence and increases the pressure to 105Kpa on the other side of the fence the pressure is 103Kpa what is the resultant force on the fence
I hope this helps
The picture shows the correct answer