a. The work motor of the crane did is 60.6 kJ.
b. The average power performed by the crane is 21.263kW.
What is work done?Work done is equal to product of force applied and distance moved.
Work = Force x Distance
Given is a crane at a construction site lifts a concrete block with a mass of m = 277 kg from the ground to the top of a building with a height of h = 22.3 m.
a. Work done by motor is W= F x d
The force is equal to the weight F = mg
So, W = 277 x 9.81 x 22.3
W = 60.6 kJ
Thus, the work done by the motor is 60.6 kJ.
b. The duration of the lift was 2.85 minutes
Power = Work done/ time
Plug the values, we ghave
P = 60.6 x1000 /2.85
P =21.263kW
Thus, the average power performed by the crane is 21.263kW
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A typical arteriole has a diameter of 0.080 mm and carries blood at the rate of 9.6 x10-5 cm3/s. What is the speed of the blood in (cm/s) the arteriole
Answer:
v= 4.823 × 10⁻⁹ cm/s
Explanation:
given
flow rate = 9.6 x10-5 cm³/s, d = 0.080mm
r = d/2= 0.080/2= 0.0040 cm
speed = rate of blood flow × area
v = (9.6 x 10⁻⁵ cm³/s) × (πr²)
v = (9.6 x 10⁻⁵ cm³/s) × π(0.0040 × cm)²
v= 1.536 × 10⁻⁹π cm/s
v= 4.823 × 10⁻⁹ cm/s
A 288-gram cart starts from rest and rolls down an inclined plane from a height of 1.226 m. Determine its speed (in m/s) at a height of 0.126 m above the bottom of the incline. Assume friction is negligible
The law of conservation energy
PE₁ + KE₁ = PE₂ + KE₂
From rest ⇒ v₁ = 0 ⇒ KE₁ = 0
Input the value:
PE₁ = PE₂ + KE₂
\(\tt mgh_1=mgh_2+\dfrac{1}{2}mv_2^2\rightarrow divide\:m\\\\gh_1=gh_2+\dfrac{1}{2}v_2^2\\\\9.8(1.226-0.126)=\dfrac{1}{2}v_2^2\\\\v_2=4.64\:m/s\)
Two cars are travelling in the +x direction. A 1.8 x 103 kg BMW with speed 42 m/s hits the rear of a 1.2 x 103 kg VW with speed 25m/s. Neither driver applies the brakes. Ignore friction. a. If the speed of the BMW is 33 m/s just after the collision, find the speed of the VW just after the collision
Answer:
Explanation:
Eek
What precise meaning do you attach to the statement r = (24.0 ± 0.3) mm, where r is the radius of a tube.
The information provided above demonstrates that the range of the tube's radius within which we are certain is from 23.7 to 24.3.
Accurate findings are desired when any quantity is being measured. Closeness of the measurements to a particular value is referred to as accuracy (like the theoretical value). It is not insignificant that measurements can contain inaccuracies; as a result, the outcome frequently includes a margin error. The sentence above displays the radius's measured value along with its margin of error.
In other words, the aforementioned statement represents a quantity's numerical value along with its tolerance, or the only permissible (and conceivable) values to ensure that the measurement is accurate. The information provided above demonstrates that the range of the tube's radius within which we are certain is from 23.7 to 24.3.
These are all valid radius values, along with all others within this interval. By increasing the number of trials in a measurement, the value for the upper and lower bounds of the error can be decreased.
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How will the magnet being farther away from the coil of wire affect the strength of an electromagnet?
Answer:
intensity of this field around the conductor is proportional to the distance from it with the strongest point being next to the conductor and progressively getting weaker further away from the conductor
How much force is needed to accelerate a Kia Soul with a
mass of 1200 kg to 5 m/s2?
Answer:
\(\boxed {\boxed {\sf 6,000 \ Newtons}}\)
Explanation:
Force is the product of mass and acceleration.
\(F=ma\)
The mass of the Kia Soul is 1200 kilograms and its acceleration is 5 meters per square second.
\(m= 1200 \ kg \\a= 5 \ m/s^2\)
Substitute the values into the formula.
\(F= 1200 \ kg * 5 \ m/s^2\)
Multiply.
\(F= 6000 \ kg*m/s^2\)
1 kilgram meter per square second is equal to 1 Newton. Our answer of 6000 kg*m/s² equals 6000 N\(F= 6000 \ N\)
Answer:
Given :-Mass = 1200 kgAcceleration = 5 m/s²To Find :-Force
Solution :-We know that
F = ma
F = Force
m = mass
a = acceleration
F = 1200 × 5
F = 6000 N
\( \\ \)
If the instantaneous voltage at a given moment in the circuit RL is V=VmaxSIN(150), then the instantaneous current at the...... same instant I=Imaxsin
The instantaneous current at the same moment in the RL circuit can be expressed as I = Imaxsin(150), where Imax represents the maximum current.
1. Given that the instantaneous voltage at a specific moment in the RL circuit is V = Vmaxsin(150).
2. We can express the current at the same moment using Ohm's Law, which states that V = IR, where V is voltage, I is current, and R is resistance.
3. In an RL circuit, the resistance is represented by the symbol R, and it is typically associated with the resistance of the wire or any resistors in the circuit.
4. However, the given equation does not explicitly mention resistance.
5. Since we are considering an RL circuit, it suggests the presence of inductance (L) along with resistance (R).
6. In an RL circuit, the voltage across the inductor (VL) can be expressed as VL = L(di/dt), where L is the inductance and di/dt represents the rate of change of current.
7. At any given instant, the total voltage across the circuit (V) can be expressed as the sum of the voltage across the resistor (VR) and the voltage across the inductor (VL).
8. Therefore, V = VR + VL.
9. Since the given equation represents the instantaneous voltage (V), we can deduce that V = VR.
10. By comparing V = VR with Ohm's Law (V = IR), we can conclude that I = Imaxsin(150), where Imax represents the maximum current.
The specific values of Vmax, Imax, and the phase angle have not been provided in the question, so we are working with the general expression.
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Hello please I need help for this exercise
Calculate the electrical power dissipated by Joule effect in a 23 (Ohms) rheostat carrying a current of 5A.
Find the amount of heat, in Joules and Kwh, released in half an hour of operation.
The electrical power dissipated by the circuit is 575 W.
The amount of heat energy released in half hour is 0.2875 kWh.
What is the electrical power?
The electrical power dissipated by the circuit is calculated as follows;
P = IV
where;
I is the current in the circuitV is the voltageP = I²R
where;
R is the resistanceP = 5² x 23
P = 575 W
The amount of heat energy released in half hour is calculated as follows;
E = Pt
where;
P is the power dissipatedt is timeE = 575 W x 0.5 hr
E = 287.5 kW
E = 0.2875 kWh
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An aeroplane is circling above an airport in a horizontal circle at a speed of 400 kmh-1.The banking angle of the wings is 20.What is the radius of the circular path?
Answer: the radius of the circular path is approximately 1637.58 meters.
Explanation:
The centripetal force acting on the airplane is provided by the component of the gravitational force that acts towards the center of the circular path. This component is given by:
F_c = m * g * tan(banking angle)
Where:
F_c is the centripetal force
m is the mass of the airplane
g is the acceleration due to gravity
tan(banking angle) is the tangent of the banking angle
Now, the centripetal force is also given by the formula:
F_c = (m * v^2) / r
Where:
v is the speed of the airplane
r is the radius of the circular path
Equating the two expressions for F_c, we get:
(m * g * tan(banking angle)) = (m * v^2) / r
Canceling out the mass (m) on both sides of the equation, we have:
g * tan(banking angle) = v^2 / r
Solving for r, we get:
r = (v^2) / (g * tan(banking angle))
Substituting the given values:
v = 400 km/h = 400,000 m/h
g = 9.8 m/s^2
banking angle = 20°
Converting the speed to m/s:
v = 400,000 m/h * (1/3600) h/s = 111.11 m/s
Converting the banking angle to radians:
banking angle = 20° * (π/180) rad/° = 0.3491 rad
Now, substituting the values into the formula:
r = (111.11^2) / (9.8 * tan(0.3491))
r ≈ 1637.58 meters
Therefore, the radius of the circular path is approximately 1637.58 meters.
Temperate marine climates are normally:
a.hot
c. cold
b. cool to warm
d. warm to hot
Answer:
Temperate marine climates are humid and have mild winters. There are three kinds of temperate marine climates: marine west coast, humid subtropical, and mediterranean. Marine west coast climates are the coolest temperate marine climates. Humid ocean air brings cool, rainy summers and mild, rainy winters.
Mr. Dunn drives 64.8km from work at a speed of 48km/h. Mrs. Dunn drives 81.2km from work
at a speed of 58km/h. They both leave work at the same time. Show complete working to secure
full credits. [4]
i. Who arrives home first?
ii. How many minutes later is it before the second person gets home?
iii. A Coyote is chasing its meal (the Road Runner). Unfortunately, the Coyote has difficulty
adjusting to the Road Runner’s speed but we have a good idea of what it is.
plz help me i will mark you as brainliest
Answer:
i) Mr. Dunn arrives to home first.
ii) 3 min
Explanation:
i. To find who arrives first to home you calculate the time, by using the following formula:
\(t=\frac{x}{v}\)
x: distance
v: velocity
Mr. Dunn:
\(t=\frac{64.8km}{48km/h}=1.35h\)
Mrs. Dunn:
\(t=\frac{81.2km}{58km/h}=1.4h\)
Hence, Mr. Dunn arrives to home first.
ii. To calculate the difference in minutes, you convert hours to minutes:
\(1.35h*\frac{60min}{1h}=81min\\\\1.40h*\frac{60min}{1h}=84min\\\\\Delta\ t=(84-81)min=3min\)
the difference between the times is 3min
(i) Mr. Dunn takes less time so he arrives at home first.
(ii) The second person arrives 3 min late.
Time taken to arrive home:
(i) We have to calculate the time taken to reach home by Mr. Dunn and Mrs. Dunn.
t = x/v
where x is the distance
and v is the velocity
Time taken by Mr. Dunn:
distance x = 64.8 km
speed v = 48 km/h
t = 64.8 / 48
t = 1.35 h
Time taken by Mrs. Dunn:
distance x = 81.2 km
speed v = 58 km/h
t' = 81.2 / 58
t' = 1.4 h
Hence, Mr. Dunn arrives at home first.
(ii) To calculate the difference in minutes, you convert hours to minutes:
The time taken by Mr. Dunn in minutes is:
t = 1.35×60 = 81 minutes
The time taken by Mrs. Dunn in minutes is:
t' = 1.4×60 = 84 minutes
the difference between the times is 3min
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Force varies directly with pressure. A force of 22,000 newtons acts on an object, causing 110 N/m² of pressure. The
force decreases to 18,000 newtons. What is the new amount of pressure caused by the force?
○ 45 N/m²
90 N/m²
O 75 N/m²
60 N/m²
The final amount of pressure caused by the force is 90 N/m².
Initial amount of force, F₁ = 22 x 10³ N
Initial amount of pressure produced, P₁ = 110 N/m²
Final amount of force exerted, F₂ = 18 x 10³ N
Pressure is defined as the amount of force acting on an object per unit area of the object.
So, we can say that the force and pressure are directly proportional.
F ∝ P
So, F₁/P₁ = F₂/P₂
Therefore, the final amount of pressure caused by the force is,
P₂ = F₂P₁/F₁
P₂ = 18 x 10³x 110/22 x 10³
P₂ = 18/0.2
P₂ = 90 N/m²
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Select True or False for the following statements about electromagnetic waves. A vertical automobile antenna is sensitive to electric fields polarized horizontally. Ultraviolet radiation causes common sunburn. Radio waves travel in vacuum at a lower speed than the visible light. The sun's radiation is most intense in the visible region. Gamma rays can be produced in transitions of an atomic nucleus from one state to another. Radio waves have wavelengths longer than 1 m. X-rays travel in vacuum at a higher speed than the visible light.
Answer:
a) False, b) True, c) true, d) true, e) True, g) False
Explanation:
Se pide que analicemos cada expresión, f) true
a) False. La antena vertical tiene cargas eléctricas que se pueden mover en la direccion vertical, una onda electromagnética polarizada horizontal el campo eléctrico esta en la dirección horizontal por lo cual no puede mover los electrones que están en direccional vertical
be) True. La radiación ultravioleta es absorvidad por la melanina del la piel y crea las quemaduras comunes de insolación.
C) False. Todas la ondas electromagnetismo viajan en la misma velocidad c
d) True. La Temperatura del sol es 5800K por lo cual la radiación mas intensa esta en el rango visible
e) True. Los rayos gamma son de muy alta energía, por lo cual se producen en ransicio0n de los núcleos atmicos.
f) True. El rango de frecuencia para las onda de radio va desde 500 Kahoy hasta 110 MHz, por lo tanto el rango de longitudes de onda es
c= lam f
lam = c/f
lam = 3 108/500 103
lam = 6 102 m
lam = 3 108 / 110 106
lam = 2,72 m
los lo ttnato en todo el rango de las frecuecias de radio la lambda> 1 m
g) False. Todas las ondas electromagnéticas viajan a la misma velocidad c( 3 108m/s)
Weather is different from climate because it
O A. changes more frequently
OB. changes less frequently
OC. is less extreme
D. depends on incoming solar radiation
Answer: B.
Explanation:
Weather changes more frequently than climate.
Please Help me with this problem!!!
The total displacement of the object was 7.5 meters.
Explanation:There's a relation between the common movement analysis graphs that we can always use. These relations are the following:
The derivative (slope) of a displacement vs. time graph gives you the function of speed vs. time. Also, when you take the speed vs. time graph and find its derivative, you will get the acceleration function of the observed body.
Now, doing to opposite of derivation (integration), we are able to calculate the displacement of an object when we integrate the function of velocity vs. time. This is not a complicated process when we have a linear function, because integration is just calculating the area under the curve or line of a graph.
In this case, the graph forms a right triangle with the x axis, therefore, we are able to calculate displacement by finding the area under the line of the graph. It could also be made with integration, we are going to do it with both processes as they are both used, and in some cases you have to strictly use one of the 2 in order to get the most precise answers.
Method 1. By finding the area through geometry.When we observe the line, we can crearly tell that the area under the graph constitutes a right triangle. Hence, the area under the graph is given by the following formula:
\(A=\frac{bh}{2}\)
Substitute the values and calculate.
(Check attached image 1 to see where the values of b and h are taken from).
\(A=\frac{(5)(3)}{2}\\ \\A=7.5\)
Hence, the total displacement of the object was 7.5 meters.
Method 2. By integration.In this method, we'll need to find the equation of the line and then generate and solve a definite integral.
Take 2 points from the line.
(0, 0) and (5, 3).
Find the slope.
Formula: \(m=\frac{y_{2} -y_{1} }{x_{2}- x_{1} }\)
\(m=\frac{3-0}{5-0}= \\ \\m= \frac{3}{5}\)
Find the equation of the line.
Formula: \(y-y_{1} =m(x-x_{1} )\)
\(y-(0) =\frac{3}{5} (x-(0) )\\ \\y=\frac{3}{5} x\\ \\\)
Integrate within the interval of interest (from 0 to 5).
\(\int\limits^5_0 {(\frac{3}{5} x)} \, dx \\ \\=\frac{3}{5} x^{2} *\frac{1}{2} \\ \\=\frac{3}{10} x^{2} \\\\ (\frac{3}{10} (5)^{2})-(\frac{3}{10} (0)^{2})\\ \\(\frac{3}{10} *25)-(0)\\ \\\frac{75}{10} \\ \\7.5\)
Once again, the total displacement of the object was 7.5 meters.
if i travel to an unknown planet where the mass is twice that of mass earth , what would my mass on this planet be A. Greater then your weight on earth. B. Less than your weight on earth. C. The same as your weight on earth
Answer:
I think it would be C since it doesn't say anything about the gravity, basically things around u change, but you don't change
Explanation:
Sorry if I got this wrong, hope this helped and have a nice day!
The velocity of a car Travelling in the positive direction decreases from 36 m/s to 28 m/s in four seconds what is the average acceleration of the car in this process
HELPPPP
A man is trying to push a box across a table. He pushes on the box with 5 N and the
table provides a frictional force of 1 N. What will be the net force on the box?
1) 4 N
2) 5 N
3) 6 N
4) Not enough information has been given
Answer:
4 Newton
Explanation:
because you minus 1 Newton from 5 newton
The net force on the box is equal to 4N. Therefore, option (1) is correct.
What is the net force?The net force can be described as the vector sum of forces acting on a particle or object. The net force can be defined as a single force showing same the effect of the original forces on the particle's motion. Net force gives the same acceleration as all those actual forces together.
The net force becomes the resultant force. It has the same effect on the rotational motion as all actual forces taken together by the object. Force is a vector quantity as it has a magnitude and a direction.
In the given problem, the applied force is in the opposite direction of the frictional force so we can find the net force by subtracting these two forces.
Given, the applied force to push the box = 5N
The frictional force on the box, = 1 N
The net force on the box = 5N + (-1N) = 4N
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A scientist reports a measurement of the temperature of the surface of a newly discovered planet as negative 20 Kelvin. What conclusion can you draw from this report
Answer:
The temperature of this newly discovered planet violates the third law of thermodynamic, there is a mistake in this value.
Explanation:
The third law of the Thermodynamic says:
At zero kelvin all molecular movement stops, which means that the entropy will be zero at this temperature.
So we can say there is no thermodynamic system that has temperature values less than 0 K.
The conclusion of the report will be.
The temperature of this new planet violates the third law of thermodynamic, there is a mistake in this value.
I hope it helps you!
Use the table to answer the question below.
I need urgent help please please please please please please please please please please please please please please please please please. D:
Explanation:
Here is the first one....you should try the second one...
A reel of flexible power cable is mounted on the dolly, which is fixed in position. There are 190 ft of cable weighing 0.402 lb per foot of length wound on the reel at a radius of 14 in. The empty spool weighs 65 lb and has a radius of gyration about its axis of 11 in. A tension T of 15 lb is required to overcome frictional resistance to turning. Calculate the angular acceleration α of the reel if a tension of 33 lb is applied to the free end of the cable.
Answer:
Explanation:
Total mass of cable m = 190 x .402 = 76.38 lb
moment of inertial due to this cable = m r²
= 76.38 x (14/12)²
= 103.96 lb ft²
moment of inertia of empty spoon
= mR² where R is radius of gyration
= 65 x (11 / 12 )²
= 54.61 lb ft²
Total moment of inertia I = 158.57 lb ft²
Net force applied = force applied - frictional force
= 33 - 15 = 18 lb
= 18 x 32 poundal
= 576 poundal
Torque applied = force x radius
= 576 x 14/12
= 672 unit
Angular acceleration = torque / total moment of inertia
= 672 / 158.57
= 4.238 radian / s²
Which of these statements about mixtures is true? (2 points)
a
Mixtures are made up of elements bonded together.
b
Elements and compounds are types of mixtures.
c
Pure substances are made up of mixtures combined in specific ratios.
d
Mixtures are classified based on the distribution of particles in them.
Answer:A
Explanation:
Answer:
D. Mixtures are classified based on the distribution of particles in them.
Explanation:
A is wrong because mixtures are not made of elements that are bonded together chemically.
B is wrong because elements and compounds are types of pure substances.
C is wrong because pure substances are not made up of mixtures.
Please give brainliest
A roller coaster is at a peak of 20m and has a mass of 900kg. What is the potential energy of the roller coaster?
O 100000 J
10000 J
O 9.8 J
O 176400 J
The potential energy of the roller coaster is 176,400 J (joules).
The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.
In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).
Using the formula, we can calculate the potential energy:
PE = mgh
= (900 kg)(9.8 \(m/s^2\))(20 m)
= 176,400 J
Therefore, the potential energy of the roller coaster is 176,400 J (joules).
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Your friend wants to join the school track team, and has asked for your help to determine how fast she can run. 4. What kind of information would you need to collect in order to help your friend?
Answer:
I think you would need too time your friend and know how too divide that time by other racers to see how much faster she needs to get. I THINK.
Plz help I don’t know what to do
A cricketer lowers his hand while catching balls. Why?
Answer:
While catching a ball, a cricket player lowers his hands, because by doing so, he increases the time of catch. That is, the person increases the time to bring about a given change in momentum, and hence rate of change of momentum decreases. Thus, a small force is exerted by ball on the hands.
Explanation:
:)
Answer:
it is your answer....... if it is helpful plzz like and comment
A sound wave produced by a clock chime is heard 400 m away 2.0 s later. The sound wave has a frequency of 512 Hz. What is its period?
Answer:
\(\frac{1}{512}\) seconds
Explanation:
T = 1 / f
where T is the period and f is frequency.
Here the frequency is 512 Hz.
Using the formula:
T = \(\frac{1}{512}\) seconds
2 A rectangular storage tank 4 m long by 3 m wide is filled with paraffin to a depth
of 2 m. Calculate:
a the volume of paraffin
c the weight of paraffin
b the mass of paraffin
d the pressure at the bottom of the tank due
to the paraffin
1m
For a rectangular storage tank filled with paraffin to a depth of 2 m, the volume, weight, mass of paraffin, and pressure at the bottom of the tank are:
a. The volume is 24 m³.
b. weight is 240,000 N,
c. mass is 24,490 kg, and
d. pressure is 23,530 Pa.
a) The volume of paraffin in the rectangular storage tank can be calculated using the formula:
Volume = Length x Width x Depth
Given:
Length = 4 m
Width = 3 m
Depth = 2 m
Substituting the values into the formula, we have:
Volume = 4 m x 3 m x 2 m
Volume = 24 m³
Therefore, the volume of paraffin in the tank is 24 cubic meters.
b) The weight of the paraffin can be calculated using the formula:
Weight = Volume x Density x Acceleration due to gravity
The density of paraffin varies, but we can assume a typical value of 10,000 kg/m³. The acceleration due to gravity is approximately 9.8 m/s². Substituting these values into the formula:
Weight = 24 m³ x 10,000 kg/m³ x 9.8 m/s²
Weight = 240,000 N
Therefore, the weight of the paraffin in the tank is 240,000 Newtons.
c) The mass of the paraffin can be calculated using the formula:
Mass = Density x Volume
Substituting the given values:
Mass = 10,000 kg/m³ x 24 m³
Mass = 24,490 kg
Therefore, the mass of the paraffin in the tank is 24,490 kilograms.
d) The pressure at the bottom of the tank due to the paraffin can be calculated using the formula:
Pressure = Weight / Area
The area of the bottom of the tank is equal to the length multiplied by the width. Substituting the values:
Area = 4 m x 3 m
Area = 12 m²
Pressure = 240,000 N / 12 m²
Pressure = 20,000 Pa
Therefore, the pressure at the bottom of the tank due to the paraffin is 20,000 Pascals (Pa).
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Two major muscles must work together in an agonist and antagonist form to be able to move an arm.
Answer:
Two major muscles must work together in an agonist and antagonist form to be able to move an arm.
Explanation:
The gravitational force between two bodies varies inversely as the square of the distance between them. If the force between two bodies is 18 N when the distance between them is 10 km, find the fource between the bodies when the distance between them is 7.5 km.
The statement states that the force between both the bodies at a distance of 7.5 km equals F = 32 N.
What is gravitational force?This force that earth applies to a body is referred to as gravitational force. Its down motion of water in the river, the downwards motion if water in a stream, or an upwards motion of a ball being thrown are examples of motion brought on by gravitational influence.
Briefing:F = k/d² where k is the inverse variation's constant.
18 N = k / (10 km)²
18 N = k / 100 km²
k = (18 N) (100 km²)
k = 1800 (N)(km²)
F = ?
d = 7.5 km
k = 1800 (N) (km²)
F = 1800 (N)(km²) / (7.5 km)²
F = 1800 (N) (km²) / (55.25 km²)
F = 32 N
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