equilibrium: a light board, 10 m long, is supported by two sawhorses, one at one edge of the board and a second at the midpoint. a small 60-n weight is placed between the two sawhorses, 3.0 m from the edge and 2.0 m from the center. what forces are exerted by the sawhorses on the board?
Answers
For the board to remain in equilibrium, the sum of the forces and torques acting on it must be zero. Therefore, the force exerted by the sawhorse at the edge of the board is 84 N, and the force exerted by the sawhorse at the midpoint is -24 N
Vertical Forces:
The sum of the vertical forces must be zero since the board is in equilibrium:
F₁ + F₂ - 60 N = 0
Torque_weight = (60 N) ₓ (2.0 m)
The torque exerted by the force at the edge (F₁) is zero since it acts directly on the reference point.
The torque exerted by the force at the midpoint (F₂) is given by:
Torque F₂ = (F₂) ₓ (10 m / 2)
Since the board is in equilibrium, the sum of the torques must be zero:
Torque\(_{weight}\) + Torque\(_F\)₂ = 0
Substituting the values:
(60 N) ₓ (2.0 m) + (F₂) ₓ (10 m / 2) = 0
Simplifying:
120 N·m + 5 F₂ = 0
Now, we have two equations:
F₁+ F₂ = 60 N (Equation 1)
120 N·m + 5 F₂ = 0 (Equation 2)
From Equation 1, we can isolate F₁:
F₁ = 60 N - F₂
Substituting this value into Equation 2:
120 N·m + 5 F₂ = 0
5 F₂ = -120 N·m
F₂ = (-120 N·m) / 5
F₂ = -24 N
Substituting the value of F₂ back into Equation 1:
F₁ + (-24 N) = 60 N
F₁ = 60 N + 24 N
F₁ = 84 N
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Related Questions
When conducting a polygraph test why is it important for the interviewer to establish a baseline on the interviewee?
Answers
Answer:
Because always when we do an experiment, we need something to compare.
For example, if we want to see how much change a given color paint when we add different amounts of white paint to it, we need to have at least one sample of pure color paint, so we can compare it whit the ones with mixed paints.
Well, the case of the polygraph is exactly the same, we need to have a baseline, so we the interviewer can see if for some questions there is a change in the line compared with the baseline.
8. An electrical resistor immersed in a liquid produces 65.0 W of electrical energy for 120
specific heat capacity of the liquid in this temperature range. Assume that negligible h
O
O
O
2.51 x 10³ J/(kg. C°)
1.67 x 106 J/(kg C°)
2.02 x 104 J/(kg. C°)
Answers
The specific heat capacity of the liquid is 2.51 x 10³ J/kg⁰C.
Specific heat capacity of the liquidThe specific heat capacity of the liquid is calculated as follows;
Q = mcΔФ
where;
Q is quantity of heat c is specific heat capacitym is mass of the liquidΔФ is change in temperature = 22.54 - 18.55 = 3.99 ⁰Cc = Q/mΔФ
c = (65 x 120)/(0.78 x 3.99)
c = 2.51 x 10³ J/kg⁰C
The complete question is below:
An electrical resistor immersed in a liquid produces 65.0 W of electrical energy for 120 s. The mass of the liquid is 0.780 kg and its temperature increases from 18.55°C to 22.54°C. a) Find the average specific heat capacity of the liquid in this temperature range.
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Why is it difficult to maintain constant speed of a vehicle?
Answers
Answer:
The road surface is always rough, so the frictional force between the tires and the road surface make it difficult to maintain constant speed because acceleration always changes.
name atleast two avantages of using models in sciece
Answers
The main advantage of using models in science is the chance to predict a given outcome and make new predictions.
What are scientific models?The expression 'scientific models' makes reference to all advancements associated with the use of scientific claims, especially scientific theories that are well sustained by empirical evidence and the chance to prove these claims before their usage.
The scientific advantages are mainly associated with the possibility to predict the result of phenomena from the real world, which also allows for making new predictions.
In conclusion, the main advantage of using models in science is the chance to predict a given outcome and make new predictions.
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PLEASE HELP!! HURRYY
If a step down transformer has 220 V coming into the primary coil of 30 turns and 140 V is coming out of the second coil, how many turns in are in the secondary coil?
a.) 30
b.) 19
c.) 0.05
d.) 7
Answers
Answer:
We can use the formula for the transformer voltage ratio, which states that the ratio of the number of turns in the primary coil to the number of turns in the secondary coil is equal to the ratio of the output voltage to the input voltage:
Np/Ns = Vp/Vs
where Np is the number of turns in the primary coil, Ns is the number of turns in the secondary coil, Vp is the input voltage, and Vs is the output voltage.
We know that Vp = 220 V and Vs = 140 V, and we are trying to find Ns. We also know that Np = 30, since that is the number of turns in the primary coil. Substituting these values into the formula, we get:
30/Ns = 220/140
Simplifying the right side of the equation, we get:
30/Ns = 11/7
Cross-multiplying, we get:
11Ns = 210
Dividing both sides by 11, we get:
Ns = 19
Therefore, the answer is b.) 19.
A gas that is heated under constant pressure...
A.) will contract and demonstrate Boyle's Law
B.) will contract and demonstrate Charles's Law
C.) will expand and demonstrates Charles's Law
D.) will expand and demonstrates Boyle's Law
Answers
Answer:
c: will expand and demonstrate the Charles's law
If the car's velocity were doubled, what would happen to the time the car
falls as compared to the time the ball falls?
Answers
The time it takes for the car to fall from a certain height would not be affected by the time it takes for the ball to fall, even if the car's velocity were doubled.
If the car's velocity were doubled, the time it takes for the car to fall would not be affected by the time it takes for the ball to fall. This is because the time taken for an object to fall from a certain height is determined by the acceleration due to gravity and the distance from the ground, but not by the object's initial velocity.
The acceleration due to gravity is constant, which means that the time taken for an object to fall a certain distance is also constant. This means that the time taken for the ball to fall and the car to fall from the same height would be the same, regardless of the car's velocity.
This can be explained by the equation of motion for a falling object:
d = 1/2gt²,
where d is the distance from the ground, g is the acceleration due to gravity, and t is the time taken to fall.
Since the acceleration due to gravity is constant, the time taken for the car and the ball to fall the same distance would be the same, regardless of their initial velocity.
Therefore, if the car's velocity were doubled, the time it takes for the car to fall would be the same as before, but it would be moving faster when it hits the ground.
In conclusion, the time it takes for the car to fall from a certain height would not be affected by the time it takes for the ball to fall, even if the car's velocity were doubled.
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4. A fixed mass of gas has a volume of 11cm³ at a pressure of 5 x 10⁵ Pa . Find its volume when the pressure is 2.5 x 10⁵ Pa.
Answers
Answer:
22 cm ^3
Explanation:
P1 V1 = P2 V2 with constant mass and temperature
11 ( 5 x 10^5 ) = x ( 2.5 * 10^5)
x = 22 cm^3 ( when you 1/2 the pressure, you double the volume)
A few years ago I supervised a third year student who designed a water rocket. The first principle for the design was that it would be made out of recycled or readily available material. Consequently, the first choice was that the body of the rocket was to be a two litre plastic bottle. In the rest of this question you are free to make your own choices on the design but they must fit with the components being readily available or easily created within the engineering department. Note that this is a topic that is frequently discussed on the internet. You are free to use any resources you can find but you must acknowledge the use of pages through referencing. There is a link at the top of page 2 of this document that explains referencing, which you should already be aware of having written the paper for EG-194. a. The first stage of a design process is to develop a conceptual design. In this exercise a conceptual design is where you decide the main components of your design and what they look like. At this stage you should discuss the possibilities for the design of the water rocket. What are the options? What are the advantages and disadvantages of the options? Why did you choose the route you have chosen? In addition to answering the previous questions you should include an annotated diagram of your design. This is normally a sketch rather than a CAD drawing b. Complete a failure mode and effects analysis (FMEA) of the chosen design. Note the team exercise at the start of the module went through a form of FMEA that is suitable for this question. I expect you to cover five aspects of the design. You should focus on items that can be influenced by the design stage of the exercise, in this exercise we will not do the build and test phases. c. In order to optimise the height the rocket can attain it is necessary to develop a computational model. Using the knowledge that you have gained from year 1 of your degree and elsewhere to identify what will affect the height the rocket can reach. What physics will affect the flight of the rocket? What data will the physics require? How would you suggest the data is obtained?
Answers
When designing a water rocket made from recycled or readily available materials, the main component is typically a two-liter plastic bottle. The conceptual design options for the water rocket include variations in fins, nose cones, and deployment mechanisms.
The options for the design of a water rocket include variations in fins, nose cones, and deployment mechanisms. Fins are essential for providing stability during flight. Different fin shapes and sizes can affect the rocket's stability and control.
Larger fins generally provide better stability but may increase drag, while smaller fins can reduce stability but improve aerodynamic performance. The choice of fin design depends on the desired trade-off between stability and aerodynamics.
The nose cone design is another important consideration. A pointed nose cone reduces drag and improves aerodynamics, allowing the rocket to reach higher altitudes.
However, a pointed nose cone can be challenging to construct using readily available materials. An alternative option is a rounded nose cone, which is easier to construct but may result in slightly higher drag.
The deployment mechanism refers to the method of releasing a parachute or recovery system to slow down the rocket's descent and ensure a safe landing. The options include a simple nose cone ejection system or a more complex deployment mechanism triggered by pressure, altitude, or time. The choice of deployment mechanism depends on factors such as reliability, simplicity, and the availability of materials for construction.
In the chosen design route, the emphasis is on simplicity, stability, and ease of construction. The rocket design incorporates moderately sized fins for stability and control, a rounded nose cone for ease of construction, and a simple nose cone ejection system for parachute deployment.
This design strikes a balance between stability and aerodynamic performance while utilizing readily available or recycled materials.
To complete a failure mode and effects analysis (FMEA), five aspects of the design should be considered. These aspects can include potential failure points such as fin detachment, parachute failure to deploy, structural integrity of the bottle, leakage of water, and ejection mechanism malfunction.
By identifying these potential failure modes, appropriate design improvements and safety measures can be implemented to mitigate risks.
The height a water rocket can reach is influenced by various physics principles. Factors that affect the flight of the rocket include thrust generated by water expulsion, drag caused by air resistance, weight of the rocket, and the angle of launch.
To optimize the height, the physics data required would include the mass of the rocket, the volume and pressure of the water, the drag coefficient, and the launch angle.
Experimental data can be obtained through launch tests where the rocket's flight parameters are measured using appropriate instruments such as altimeters, accelerometers, and cameras.
By analyzing and correlating the data, the computational model can be refined to predict and optimize the rocket's maximum height.
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A chemical lab isolates a gaseous element from the atmosphere that does not form chemical compounds. In which group of the periodic table is this element most likely found?
A. 18
B. 17
C. 1
D. 2
Answers
Answer:
A- 18
Explanation:
It wont let me explain how
Question 6:A particle of mass 0.2 kg is moving in a straight line at speed 2.5ms, a constant force of magnitude FN is applied to it in the direction in which it is moving. The speed of the particle 5 seconds later is 4.5ms Find the value of F, magnitude of the force applied.
Answers
First, let's calculate the particle acceleration, using the formula below:
\(\begin{gathered} V=V_0+a\cdot t \\ 4.5=2.5+a\cdot5 \\ 5a=4.5-2.5 \\ 5a=2 \\ a=\frac{2}{5}=0.4\text{ m/s}^2 \end{gathered}\)Now, to find the force applied, let's use the second law of Newton:
\(\begin{gathered} F=m\cdot a \\ F=0.2\cdot0.4 \\ F=0.08\text{ N} \end{gathered}\)Therefore the value of F is 0.08 N.
Describe a condition in which it would be impossible to
actually measure a displacement. URGENT PLEASE HELPP
Answers
It would be impossible to actually measure a displacement if the initial position and final position of the object is not known.
What is the displacement of an object?The displacement of an object is defined as the change in the position of the object.
Mathematically, the formula for displacement of an object is given as;
Δx = x₂ - x₁
where;
x₂ is the final position of the objectx₁ is the initial position of the objectSo the displacement of an object measures the change in the initial position of the object to the final position of the object.
Thus, it would be impossible to actually measure a displacement if the initial position and final position of the object is not known.
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Press the hotspot that indicates the location that a string will experience the least tension during vertical circular motion. Assume that the speed of the ball remains constant.
which one will experience the least tension t3 t2 t1 or t4
Answers
The least tension will be experienced by T3
The weight of a moving object causes tension, which is the force applied along the length of a string, rope, or cable. The force that maintains an object moving in a circular direction when it is in a vertical circular motion is called tension. Perpendicular to the circle's radius, the tension in the string is pointed in the direction of the circle's centre.
Due to the centripetal force required to maintain the object moving in a circular motion, the tension in the string varies as the object moves in a vertical circle, with the highest tension occurring at the top of the circle and the least tension occurring at the bottom. In the given case, T3 will experience the least tension during vertical circular motion, assuming that the speed of the ball remains constant. This is because T3 is the point on the string that is closest to the circle's centre, and thus is subject to the least amount of tension as the ball moves in a vertical circle.
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A balance is used to measure mass.
True or False?
Answers
Answer:
True
Explanation:
When a wire with a current is placed in a magnetic field, electrical energy is transformed into mechanical energy
Please select the best answer from the choices provided
T
F
Answers
Answer:
TRUE
Explanation:
When a wire with a current is placed in a magnetic field, electrical energy is transformed into mechanical energy. The transformation happens when the magnetic field produced by the current causes the wire to move.
Please help me with science! :,)
Answers
Answer:
A. wind blows from the land toward the sea.
B. that this happens because the land cools faster than the sea, and, as a result, the air over land cools faster, which creates an area of higher pressure on land and lower pressure over the sea.
Explanation:
bc I am smrt
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Suppose a weight of 1 kg is attached to an oscillating spring with friction constant b=7 and stiffness constant k=6. Suppose the external forces on the weight are: F ext
(t)=−6te −3t
+e −3t
. y ′′
+7y ′
+6y=−6te −3t
+e −3t
a) Show y(t)=te −3t
is a possible position function for this weight. y ′1
+7y ′
+6y=−6tc −3t
+e −3t
r 2
+7r+6=0
(r+a)(r+1)
e −6t
e −t
y=1e −4t
+1e −t
y ′
=−61)e −4t
+Ae t
y ′
=−609e −4t
+e −+
(6,6e −4t
)+Me −t
b) Find a general equation for all possible position functions. y=Ae −6t
+AC 2
=−6+e 3t
+e −3t
(10 points) c) Find the exact motion equation for this weight if its initial position is y(0)=3, and its initial velocity is v(0)=y ′
(0)=
Answers
a) y(t) = te⁻³ᵗ is a possible position function.
b) General equation: y(t) = C₁e^(-2t) + C₂e^(-3t) + t(e^(-3t))(At + B).
c) Exact motion equation: y(t) = (23/5)e^(-2t) - (8/5)e^(-3t) + t(e^(-3t))(At + B), with initial conditions y(0) = 3 and v(0) = -7.
a) To show that y(t) = te⁻³ᵗ is a possible position function, we substitute it into the differential equation:
y(t) = te⁻³ᵗ
y'(t) = e⁻³ᵗ - 3te⁻³ᵗ
y''(t) = -6e⁻³ᵗ + 9te⁻³ᵗ
Substituting these expressions into the differential equation, we have:
-6e⁻³ᵗ + 9te⁻³ᵗ + 7(e⁻³ᵗ - 3te⁻³ᵗ) + 6(te⁻³ᵗ) = -6te⁻³ᵗ - e³ᵗ
Simplifying this equation, we find that both sides are equal, thus confirming that y(t) = te⁻³ᵗ is a possible position function.
b) The general equation for all possible position functions can be written as:
y(t) = C₁e^(-2t) + C₂e^(-3t) + t(e^(-3t))(At + B)
c) Given the initial conditions y(0) = 3 and y'(0) = v(0) = -7, we substitute these values into the general equation and solve for the constants:
3 = C₁ + C₂
-7 = -2C₁ - 3C₂
Solving these equations, we find C₁ = 23/5 and C₂ = -8/5.
The exact motion equation for the weight is:
y(t) = (23/5)e⁻²ᵗ - (8/5)e⁻³ᵗ + t(e⁻³ᵗ)(At + B)
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Suppose a weight of 1 kg is attached to an oscillating spring with friction constant b = 7 and stiffness constant k = 6. Suppose the external forces on the weight are: Fₑₓₜ(t) = - 6te⁻³ᵗ - e³ᵗ
y" + 7y' + 6y = - 6te⁻³ᵗ - e³ᵗ
a) Show y(t) = te⁻³ᵗ is a possible position function for this weight.
b) Find a general equation for all possible position functions.
c) Find the exact motion equation for this weight if its initial position is y(0) = 3, and its initial velocity is v(0) = y'(0) = -7.
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What is
Magnetism ?
pls help
Answers
Answer:
A motion produced by electric charge which causes attractive and repulsive forces between objects.
what is the primary basis upon which we divide the ingredients of the solar nebula into categories (hydrogen/helium; hydrogen compound; rock
Answers
The additives of the sun nebula fell into 4 classes based on their condensation temperatures: metals, rocks, hydrogen compounds (water, methane, ammonia), and mild gasses (hydrogen and helium).
Nebulae come in a variety of shapes and sizes, from small and faint to massive and bright. They are formed from the remnants of dying stars, as well as from the gas and dust present in the interstellar medium. As new stars form within a nebula, they heat up the surrounding gas, causing it to glow and emit radiation at various wavelengths, including visible light.
The study of nebulae provides important insights into the processes of star formation and the evolution of galaxies. For example, the observation of different types of nebulae can help astronomers determine the age, mass, and chemical composition of the stars within them. Additionally, the study of nebulae can help us better understand the overall structure and dynamics of our own Milky Way galaxy and other galaxies in the universe.
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what type of beetle is this?
Answers
a man is pushing a box of mass of 80 kg with a force of 180 n, the box accelerates at 1.80 m/s2. what is the magnitude of friction? brainly
Answers
The magnitude of the friction force on the box is 36N.
The force applied by the man to push the box of mass 80kg is 180N.
the acceleration of the block is 1.80m/s².
Now, we know,
Acceleration = Net force/mass
A = F/M
Now, the net force will be applied force minus frictional force.
So, if the frictional force is Fr and the applied force is F, then we can write,
a = F-Fr/M
Putting values,
1.80 = 180-Fr/80
Fr = 36N.
So, the frictional force is 36N in magnitude.
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2. The potential energy of an object depends on its _______.
Answers
Answer:
homboy it Position
Explanation:
Answer: i think position
Explanation:just thinking
Globalization raises concerns about the Question 41 options: restricted access multinational companies have to all less-developed countries. inability of multinational companies to reduce their production costs. ethical behavior of economically advanced nations toward developing ones. lack of currency flow in foreign exchange markets.
Answers
Globalization has sparked various concerns, and one significant issue relates to the restricted access multinational companies have to all less-developed countries.
This restriction stems from several factors, including limited market opportunities, political instability, inadequate infrastructure, and protectionist policies implemented by some governments. Such barriers hinder the potential benefits that multinational companies could bring to these countries, including job creation, technology transfer, and economic growth.
However, it is crucial to note that globalization has also led to a more interconnected world, enabling multinational companies to expand their operations in many developing nations. The increasing presence of these companies can contribute to local development, but the extent to which this occurs varies across different regions and industries.
Therefore, while restricted access remains a concern, it is not the sole issue raised by globalization. Other concerns include the ethical behavior of economically advanced nations toward developing ones, such as exploitative labor practices and resource extraction without fair compensation.
Additionally, the lack of currency flow in foreign exchange markets can lead to imbalances and economic instability. It is essential to address these challenges to foster a more inclusive and equitable global economic system.
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the normal formula to find force is F = m*a. What kind of math do you need to do
to find the mass of an object?
- Divide: F / a
- Divide: a / F
- Multiply: F* a
- Subtract: F - a
Answers
\(\\ \sf\Rrightarrow F=ma\)
Take a to leftAs it's multiplied on right side it will be divided on right side.\(\\ \sf\Rrightarrow \dfrac{F}{a}=m\)
Or
\(\\ \sf\Rrightarrow m=\dfrac{F}{a}\)
An isolated conducting rod of length 8.00 cm is oriented parallel to the x-axis. it moves in the y-direction at 3.90 m/s in the presence of a uniform magnetic field of magnitude 0.600 t that points in the -z-direction. find the magnitude of the motional emf in the rod.
Answers
The magnitude of the motional emf in the rod is 0.1872 when an isolated conducting rod of length 8.00 cm is oriented parallel to the x-axis. The speed of rod in y-direction is 3.90m/s.
Given an isolated conducting rod of length (l) = 8.00 cm = 8x10-2m
it moves in the y-direction at (v) = 3.90 m/s
uniform magnetic field of magnitude (B)= 0.600T
Let the magnitude of the motional emf in the rod be E
We know that E = BxlxV
E = 0.600T x 3.90m/s x 8x10-2m = 18.72x10-2
Hence the magnitude of the motional emf in the rod is 0.1872
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A cyclist decelerates from 4.6m/s to a stop in .29 minutes. What is the negative acceleration for the cyclist?
Answers
Answer:
a = 0.264 [m/s^2]
Explanation:
We can find the deceleration value using the following formula of kinematics:
\(v_{f} =v_{o} - (a*t)\)
The final speed is taken as zero as the rider stops completely and the acceleration sign in the equation is taken as negative as the rider is slowing down.
Vf = final velocity = 0
Vo = initial velocity = 4.6 [m/s]
t = time = 0.29 [min] = 0.29*60 = 17.4 [s]
0 = 4.6 - (a*17.4)
-4.6 = - 17.4*a
a = 0.264 [m/s^2]
a perfume bottle has a straw the goes from the nozzle into the fluid. the other end of the nozzle is connected to a bulb that when squeezed pushes air out. explain how the perfume makes its way out of the bottle given this configuration.
Answers
The liquid is drawn up into the feed tube and forced through the nozzle by the vacuum produced by the airflow.
What exactly is a vacuum?A vacuum is indeed a space that is devoid of all substance, sometimes known as "free-space." Only complete vacuums are actually feasible in real life. An incandescent lightbulb has a vacuum inside. The vacuum in space is almost ideal. The Moon, Mercury, or Mars have no atmospheres at all.
What is the vacuum unit?Scales and vacuum units commonly used. In vacuum systems, pressure is still measured in mm or inches of mercury. The Torr (from Torricelli) unit of pressure measurement is based on millimeters of mercury, and mmHg (Hg being heavy metals in the periodic table).
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A force of 200N is creating a pressure of 50Pa on a surface. Calculate the area of the surface.
Answers
Answer:
4kg
Explanation:
pressure=50pa
force=200N
Area=?
now,
pressure=force/area
50=200/area
area=200/50
area=4kg
The pressure is the forces acting on a given area. Hence, the area of the surface with a pressure of 50 Pa by a force of 200 N is 4 m².
What is force?Force is an external agent acting on a object to deform it or to change its state form motion or rest. Force is a vector quantity and it is characterised by its magnitude and direction. The unit of force is Newton (N).
Pressure is the force applied on unit area. Thus, as the force increases, pressure increases. Pressure can have the units in atm, pa, N/m² etc.
Pressure = Force / area.
Given that force = 200 N
pressure = 50 Pa = 50 N/m²
Therefore, area = force/pressure
= 200 N / 50 Pa
= 4 m²
Therefore, the area of the surface is 4 m².
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Definition: This is a drawing showing the direction and magnitude of all forces acting on a body.
Answers
Answer:
Free body diagram