Answer:
See below ~
Explanation:
The Mechanical Advantage (MA) is defined as the ratio between the force produced by the machine to the force applied to it.
=============================================================
So,
⇒ [tex]\frac{F(out)}{F(in)} = 2[/tex]
⇒ This means that the force produced is twice the applied force
4. A lens has a focal length of 2m. A pencil is placed 3m from the lens.
a. Where will the image of the pencil be formed? (show all work) (3 marks)
I
b. Is the image inverted or upright? How do you know? (1 mark)
(a) The distance of the image of the pencil from the lens is determined as 6 m.
(b) The image formed is upright, because it is magnified.
Image distance
The distance of the image formed is determined by applying lens formula as shown below;
1/f = 1/v + 1/u
1/v = 1/f - 1/u
1/v = 1/2 - 1/3
1/v = (3 - 2)/6
1/v = 1/6
v = 6 m
Magnification of the imageM = v/u
M = 6/3
M = 2
A convex lens forms an upright and magnified image.
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Ben walks 500 meters from his house to the corner store. He then walks back toward his house, but continues 200 meters past his house to talk to a neighbor. It takes Ben 17 minutes from the time he leaves his house until he stops to talk to his neighbor.
Considering the definition of velocity, the average velocity of Ben is 0.3 [tex]\frac{meters}{second}[/tex].
Definition of velocityVelocity is a physical magnitude that relates the displacement of an object, the time it takes to make this change in position and direction.
Because the speed also considers the direction in which the displacement of an object occurs, it is considered a vector magnitude.
So, the velocity can be defined as the amount of space traveled per unit of time with which a body moves, considering the direction, and can be calculated using the expression:
[tex]velocity=\frac{distancetraveled}{time}[/tex]
Velocity has units of [tex]\frac{distance}{time}[/tex], such as [tex]\frac{meters}{second}[/tex] or [tex]\frac{meters}{minute}[/tex], and includes direction of travel.
SummaryBen walks 500 meters from his house to the corner store. He then walks back toward his house, but continues 200 meters past his house to talk to a neighbor.
So, you know:
Distance traveled= distance from the start-point to the end-point= 500 - 200= 300 meters from Ben's house to the neighbor.Time= 17 minutes= 1020 seconds (being 1 minute= 60 seconds).Replacing in the definition of velocity:
[tex]velocity=\frac{300 meters}{1020 seconds}[/tex]
Solving:
velocity= 0.3 [tex]\frac{meters}{second}[/tex]
Finally, the average velocity of Ben is 0.3 [tex]\frac{meters}{second}[/tex].
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Four students measured the acceleration of gravity. the accepted value for
their location is 9.78 m/s2. which student's measurement has the largest
percent error?
The student 4 measurement has the largest percent error. The discrepancy between the calculated value and the correct value is referred to as an "error" in statistics.
What is the error?An error is a mistaken or erroneous action. In some contexts, an error is interchangeable with a mistake.
The complete question is
'Four students measured the acceleration of gravity. The accepted value for their location is 9.78m/s2. Which student’s measurement has the largest percent error?
A. Student 4: 9.61 m/s2
B. Student 3: 9.88 m/s2
C. Student 2: 9.79 m/s2
D. Student 1: 9.78 m/s2"
The percentage error is found as;
[tex]\rm \% error = \frac{a_A-a_E}{a_E} \times 100[/tex]
The percentage error in the gIven four students is obtained by putting the values in the given problem;
Student 1 ;
[tex]\rm \% error = \frac{9.78-9.78}{9.88}\times 100 \\\\\ \% error = 0 \%[/tex]
Student 2 ;
[tex]\rm \% error = \frac{9.78-9..79}{9.79}\times 100 \\\\\ \% error = - 0.10 \%[/tex]
Student 3 ;
[tex]\rm \% error = \frac{9.78-9.88}{9.88}\times 100 \\\\\ \% error = - 1.01 \%[/tex]
Student 4 ;
[tex]\rm \% error = \frac{9.78-9.61}{9.61}\times 100 \\\\\ \% error =1.77\%[/tex]
Student 4 reports the maximum percentage error.
Hence the student 4 measurement has the largest percent error.
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What are some good things I can add to my biome slides to make them look great ?
Answer:
Discuss Your Presentation With an Expert
1) Skip the Stock Template.
2) Don't Use More than 6 Lines of Text.
3) Ditch the Bullet Points.
4) Use Sans Serif Fonts.
5) Size Fonts Appropriately.
6) Maintain a Strong Contrast Between Text and Background.
7) Use No More than 5 Colors.
8) Use Contrasting Text Colors to Draw Attention.
A dentist's chair with a person in it weighs 1675 N. The output plunger of a hydraulic system starts to lift the chair when the dental assistant's foot exerts a force of 39 N on the input piston. Neglecting any difference in the heights of the piston and the plunger, what is the ratio of the area of the plunger to the area of the piston
The ratio of the area of the plunger to the area of the piston will be 0.2323.
What is pressure?
The force applied perpendicular to the surface of an item per unit area across which that force is spread is known as pressure.
It is denoted by P. The pressure relative to the ambient pressure is known as gauge pressure.
The presure at the output remains the same
[tex]\rm P_0=P_I \\\\\ \frac{F_0}{A_o} =\frac{F_I}{A_I} \\\\ \frac{A_0}{A_I} = \frac{F_0}{F_I} \\\\ \frac{A_0}{A_I} =\frac{39}{1675} \\\\ \frac{A_0}{A_I} =0.2323[/tex]
Hence, the ratio of the area of the plunger to the area of the piston will be 0.2323.
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An object that is initially not rotating has a constant torque of 3.6 N⋅m applied to it. The object has a moment of inertia of 6 kg⋅m2.What is the magnitude of the angular acceleration of the object?
[Please answer if you know]
Answer:
0.6
Explanation:
Angular acceleration is equal to Net Torque divided by rotational inertia, which is the rotational equivalent to Newton’s 2nd Law. Therefore, angular acceleration is equal to 3.6/6 which is 0.6. Hope this helped!
Six students each make an electromagnet for an investigation. Each student wraps copper wire around a nail and attaches each end of the wire to a 9-volt battery. The students use their electromagnets to pick up paper clips. The table shows the number of paper clips each student picks up with their electromagnet.
a) Write one question about how the electromagnets were made that the students could answer that would help explain the differences in the numbers of paper clips picked up by the electromagnets. Explain your reasoning.
b) Identify one factor, other than how the electromagnets were made, that would affect the number of paper clips picked up by the electromagnet. Explain your reasoning.
The question on how electromagnets are produced that students may answer to help explain the disparities in the quantity of paper clips taken up by the electromagnets "What is the strength of electromagnet”
What is static electricity?The imbalance of electric charges within or on the surface of a substance, or between materials, is known as static electricity.
Static electricity is generated by Van de Graaff generators. Static does not include acceleration, implying that it is stationary, which pertains to the formation of electric charges.
a)The question on how electromagnets are produced that students may answer to help explain the disparities in the quantity of paper clips taken up by the electromagnets "What is the strength of electromagnet”
b)The one factor, other than how the electromagnets were manufactured, that influences the quantity of paper clips the electromagnet picks up will be electrostatics.
Hence,the whole activity is about the electromagnets.
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A roller coaster glides from rest from the top of an 80.0 meter hill. What is the speed of the roller coaster at the bottom of the hill?
6.32 m/s
39.6 m/s
12.6 m/s
19.8 m/s
Based on the calculations, the speed of this roller coaster at the bottom of the hill is equal to: B. 39.6 m/s.
Given the following data:
Height = 80.0 meters.
Scientific data:
Acceleration due to gravity (g) = 9.8 m/s².
How to calculate the speed?In accordance with the law of conservation of energy, the potential energy possessed by the roller coaster at the top is equal to the kinetic energy possessed by the roller coaster at the bottom of the hill:
PE = KE
mgh = ½mv²
2mgh = mv²
v = √(2gh)
Substituting the given parameters into the formula, we have;
v = √(2 × 9.8 × 80)
v = √1,568
Speed, v = 39.6 m/s.
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True or False: A sound wave causes particles of air to travel from the source of sound (e.g., the speaker) to the listener's ear. Explain your answer.
It is True that A sound wave causes particles of air to travel from the source of sound (e.g., the speaker) to the listener's ear : This is because of the collision of the air particles that is caused by the wave.
Meaning of sound waveA sound wave can be defined as first a mechanical wave because it needs a medium to propagate.
A sound wave is an acoustic disturbance that is caused by the movement of energy traveling through a medium that is air, water etc.
In conclusion, It is True that A sound wave causes particles of air to travel from the source of sound (e.g., the speaker) to the listener's ear : This is because of the collision of the air particles that is caused by the wave.
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Engineers are trying to improve a race car. Their goal is to increase the acceleration of the car using the same engine. Which change shows the best application of Newton’s laws of motion to achieve this goal?
increasing the inertia of the car
decreasing the reaction force
increasing the action force
decreasing the mass of the car
Answer:
increasing the inertia of the car
What happened when you heat the candle wax
Answer:
your hand will be heat you will feel small pain inside your hand
I NEED AN ANSWER HURRY.
what keeps earth and other objects in the solar system from spinning off into outer space?
rotation, gravity, Coriolis effect, or currents?
Answer:
Force of gravity.
So I think it's the gravity option?
Gravity keeps earth and other objects in the solar system from spinning off into outer space.
What is meant by gravity ?The force that pulls objects towards the center of a planet or other body is known as gravity.
Here,
Since it depicts the interaction that results when two masses are in close proximity, gravity is in fact a force. The warping of spacetime and the motion of things through the stretched spacetime are the primary causes of gravitational effects.
It appears as though a force was exerted towards the end, though.
The force that pulls objects towards the centre of a planet or other body is known as gravity. All of the planets are kept in orbit around the sun by the force of gravity.
We are confined to the surface of the Earth by gravity alone. Size, mass, density, and composition of planets are all quantifiable characteristics. The gravitational pull of a planet is determined by its size and mass.
Hence,
Gravity keeps earth and other objects in the solar system from spinning off into outer space.
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A hockey puck is hit with a large force. The puck moves at a high speed as it slides over the ice.
What happens according to Newton’s first law of motion?
A. The puck gradually slows down because mass makes objects slow down.
B. The puck gradually slows down because friction would be acting on it.
C. The puck does not lose any speed because ice is a very slippery surface.
D. The puck does not lose any speed because once an object starts moving, the force of friction would no longer apply to it.
According to Newton's first law of motion, the puck gradually slows down because friction would be acting on it.
What is Newton's first law?Newton's first law of motion states that an object will remain at rest or move uniformly in a straight line unless acted upon by an external force.
According to this question, a hockey puck is hit with a large force. The puck moves at a high speed as it slides over the ice.
However, in accordance with the first law of motion proposed by Newton, the puck gradually slows down because friction would be acting on it.
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Answer:B. The puck gradually slows down because friction would be acting on it.
Explanation:
A solenoid has 18 turns per centimeter of its length. the solenoid is twisted into a circle so that it becomes shaped like a toroid. what is the magnetic field at the center of each turn of the toroid
A solenoid has 18 turns per centimeter of its length. the solenoid is twisted into a circle so that it becomes shaped like a toroid, the magnetic field at the center of each turn of the toroid is mathematically given as
B=3.39292007×10^−5 T
What is the magnetic field at the center of each turn of the toroid?Generally, the equation for magnetic field is mathematically given as
B=\mu_0 * n *I
Where
n=18
n=1800turns/m
Therefore
B=4*\pi*10^{-7}*1800*15*10^{-3}
B=3.39292007×10^−5T
In conclusion, the magnetic field at the center of each turn of the toroid is
B=3.39292007×10^−5T
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The student measured the extension for five different forces rather than just measuring the extension for one force. Suggest why.
The student measured the extension for five different forces rather than just measuring the extension for one force to identify anomalies. This is further explained below.
What is measurement?Generally, measurement is simply defined as the process of determining the size of something.
In conclusion, The student took five separate measurements of extension for various forces in order to better detect any discrepancies.
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Car 2 passes car 1. To a stationary observer, car 1 has a velocity of 28 m/s to the east and car 2 has a velocity of 33 m/s to the east. How much time will pass before car 2 is 14 m ahead of car 1?
Answer:
[tex]2.8\; {\rm s}[/tex].
Explanation:
The velocity of vehicle [tex]2[/tex] relative to vehicle [tex]1[/tex] is:
[tex]\begin{aligned}& \text{velocity of 2 relative to 1} \\ =\; & (\text{velocity of 2 relative to ground}) \\ &- (\text{velocity of 1 relative to ground}) \\ =\; & 33\; {\rm m\cdot s^{-1} - 28\; {\rm m\cdot s^{-1}} \\ =\; & 5\; {\rm m\cdot s^{-1}} && (\text{to the east})\end{aligned}[/tex].
The displacement of vehicle [tex]2[/tex] relative to vehicle [tex]1[/tex] is currently [tex]0\; {\rm m}[/tex]. The rate at which this displacement increases is equal to the velocity of vehicle [tex]2\![/tex] relative to vehicle [tex]1\![/tex], which is [tex]5\; {\rm m\cdot s^{-1}}[/tex].
Thus, it would take [tex](14 \; {\rm m}) / (5\; {\rm m\cdot s^{-1}}) = 2.8\; {\rm s}[/tex] for this displacement to reach [tex]14\; {\rm m}[/tex].
What is the piece of information that is communicated using the senses?
A ray of light (f = 5.09 × 1014 Hz) is traveling through a mineral sample that is submerged in water. The ray refracts as it enters the water, as shown in the diagram below.
Calculate the absolute index of refraction of the mineral
From the calculations, the absolute refractive index of the material is 0.6.
What is refractive index?The refractive index is the ratio of the sine of the angle of incidence to the sine of the angle of refraction.
Having looked at the path of the travelling light wave, we can see that the absolute refractive index of the ray of light is; sine 27/sin 49 = 0.454/0.755
= 0.6
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The new horizons spacecraft, launched in 2006, spent 9.5 years on its journey to pluto. it derives its electric power from the heat generated by 10 kg of , which has an activity of . each decay emits an alpha particle with an energy of 5.6 mev. what is the total thermal power generated by this plutonium source
The total thermal power generated by this plutonium source is determined as 5.65 J/s.
Total thermal power generatedThe total thermal power generated by this plutonium source is determined as follows;
ΔP = Eλ
where;
E is the energy of the particles = 5.6 mevλ is the activity of the plutonium, which should be = 6.3 x 10¹⁵ s⁻¹ΔP = (5.6 mev) x (6.3 x 10¹⁵ s⁻¹)
ΔP = (5.6 x 10³ x 1.6 x 10⁻¹⁹ J) x (6.3 x 10¹⁵ s⁻¹)
ΔP = 5.65 J/s
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how can geo thermal energy be used ?
Heating and Cooling Using Geothermal Heat, Natural Air Conditioning. Another use of this type of energy is natural cooling.Maintenance of Civil Works. Another direct application is to avoid the freezing of bridges, roads, or airports. .Thermal Waters. For the use of heat in hot springs from geothermal energy, deep waters with temperatures between 40 and 150 ° C are used.
(b) The pressure of the helium in the balloon is 100 000 Pa.
The volume of the balloon is 0.030 m².
The balloon is compressed at a constant temperature causing the volume to
decrease to 0.025 m².
No helium leaves the balloon.
Calculate the new pressure in the balloon
Taking into account the Boyle's law, the new pressure in the balloon is 120 000 Pa.
What is Boyle's lawBoyle's law establishes the relationship between the pressure and the volume of a gas when the temperature is constant.
Boyle's law states that the pressure of a gas in a closed container is inversely proportional to the volume of the container, when the temperature is constant: if the pressure increases, the volume decreases, while if the pressure decreases, the volume increases.
Mathematically, this law says that if the amount of gas and the temperature remain constant, the product of pressure times volume always has the same value:
P×V= k
Now it is possible to assume that you have a certain volume of gas V1 which is at a pressure P1 at the beginning of the experiment. If you vary the volume of gas to a new value V2, then the pressure will change to P2, and the following is true:
P1×V1=P2×V2
New pressure in the ballonIn this case, you know:
P1= 100 000 PaV1= 0.030 m²P2= ?V2= 0.025 M²Replacing in the Boyle's law:
100 000 Pa×0.030 m² =P2×0.025 m²
Solving:
(100 000 Pa×0.030 m²) ÷0.025 m²= P2
120 000 Pa= P2
Finally, the new pressure in the balloon is 120 000 Pa.
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If a person with a mass of 136 kg has an acceleration of 0.5 m/s/s when pushing off a wall, calculate the force.
272 newtons away from wall
0.00368 newtons toward wall
68 newtons away from wall
68 newtons toward wall
The force of the person is 68 N away from the wall.
What is force?Force is the product of mass and acceleration.
To calculate the force used by the person to push the wall, we use the formula below.
Formula:
F = ma............ Equation 1Where:
F = Force on the wallm = mass of the persona = acceleration due to gravity.From the question,
Given:
m = 136 kga = 0.5 m/s² off the wallSubstitute these values into equation 1
F = 136×0.5F = 68 N away from the wallHence, the force of the person is 68 N away from the wall.
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This photograph shows a person using a type of wave technology. Which need or want does this technology meet?
A. It allows people to check their sense of touch.
B. It allows people to see very distant objects clearly.
C. It allows people to check their eyesight.
D. It allows people to see very small objects clearly.
The photography that shows a person using a type of wave technology, allows people to see very small objects clearly. D as it is a microscope
Why are wave technologies important?
Wave technologies are important because;
They create waves that are more perfect than humans can provide by themselves.Certain inventions use waves to enhance human senses like hearing, sight and touch.Thus, the photography that shows a person using a type of wave technology, allows people to see very small objects clearly. D as it is a microscope.
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Rannan wants to perform a scientific experiment. he writes out a systematic process that involves him making observations and then forming his opinion about those observations. he then collects his opinions together and uses them to show that his findings are supported by evidence.
in what way did rannan make an error in his scientific process?
a) he should not use a systemic process.
b) he should not use his opinions as evidence.
c) he should not make observations.
d) he should not use multiple steps in his process.
The way Rannan made an error in his scientific process is he should not use his opinions as evidence.
Error in Rannan Scientific Process
A scientific experiment requires some systematic process that involves making observations and then forming his opinion about those observations.
A scientific experiment should be guided by a known model and based on individual opinions.
Thus, the way Rannan made an error in his scientific process is he should not use his opinions as evidence.
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Answer:
Answer is B. He should not use his opinions as evidence.
Explanation:
His opinion may not be right
A) the wind is blowing directly towards the wind turbine at a speed of 12 m/s. at this wind
speed, 7500 kg of air passes every second through the circular area swept out by the
blades.
() calculate the kinetic energy of the air travelling at 12m/s, which passes through
the circular area in 1 second.
The kinetic energy of the air travelling at 12m/s, which passes through
the circular area in 1 second is 5.4 x 10⁵ J.
What is kinetic energy?The kinetic energy of an object is associated with its motion. It can be related to the mass and velocity as
K.E = 1/2 mv²
Given the wind is blowing directly towards the wind turbine at a speed of 12 m/s. At this wind speed, 7500 kg of air passes every second through the circular area swept out by the blades.
Substitute the values, we have
K.E = 1/2 x 7500 x (12)²
K.E = 5.4 x 10⁵ J
Hence, the kinetic energy of the air travelling at 12m/s, which passes through the circular area is 5.4 x 10⁵ J.
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Choice are 1.3 1.0 17
The current flowing in resistor 1 in the given series circuit is determined as 1.0 A.
Equivalent resistance of the circuit
The equivalent resistance of the circuit is determined as follows;
Rt = R1 + R2
Rt = 15 + 5
Rt = 20ohms
Current flowing in the circuitThe current flowing in the circuit is determined from Ohm's law.
V = IR
I = V/R
I = 20/20
I = 1.0 A
since it is series circuit, same current will flow in R1 and R2.
Thus, the current flowing in resistor 1 in the given series circuit is determined as 1.0 A.
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why do you think spiders are disliked
Answer:
it is called arachnophobia
Explanation:
most reason are they way they walk and jump and the people who know they have 4 eyes
Hope This Helped i Like Spiders (^^vv^^) (spider smiley face)
Answer:
why do you think spiders are disliked?The presence of body hair seems to be significantly associated with both fear and disgust of spiders (Davey, 1991). We suggest that the rationale for this perception (fear of hairiness) is that body hair (or fur) when standing up in many mammals occur when the animal is threatened.
Explanation:
Always remember:beluga always love answer your question by following these steps:Follow belugaask meBrainliest me first oktake note please: everyone i answer question I got happy:)please don't delete Your question beacause Brainliest Marks & pointswill be loseAs the car falls off the cliff, what is happening to the kinetic energy of the falling car?
Answer:
It loses potential energybut gains kinetic energy.
Explanation:
A cyclist is traveling along a road due east at 12 km/h and wind is blowing from south-west at 5 km/h . find the velocity of the wind relative to the cyclist.
The velocity of the wind relative to the cyclist is determined as -15.3 km i - 3.5 km j.
Velocity of the wind relative the cyclistThe speed of the wind in x - direction and y - direction is calculated as follows;
v(w/c) = - 5 km(cos 45)i - 5km(sin45)j
v(w/c) = [- 3.5 i - 3.5 j ] km
velocity of wind with respect to cyclist = (-12 km i - 3.5 km i) - 3.5 km j
velocity of wind with respect to cyclist = -15.3 km i - 3.5 km j
Thus, the velocity of the wind relative to the cyclist is determined as -15.3 km i - 3.5 km j.
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A car speeds past a stationary police officer while traveling 135 km/h. the officer immediately begins pursuit at a constant acceleration of 11.8 km/h/s, just as the driver passes her.
a. how much time, in seconds, will it take for the police officer to catch up to the speeding car, assuming that the car maintains a constant speed?
b. how fast, in kilometers per hour, will the police officer be traveling at the time he catches up to the driver?
(a) The time it takes for the police officer to catch up to the speeding car is determined as 0.31 s.
(b) The speed of the police officer at the time he catches up to the driver is 136.8 km/h.
Time of motion of the police
The time taken for the police to catch up with the driver is calculated as follows;
v = at
where;
a is acceleration = 11.8 km/h/s, = 3.278 m/s²v is velocity = 135 km/h = 37.5 m/st = v/a
t = 37.5/3.278
t = 11.4 seconds
(v1 - v2)t = ¹/₂at² --- (1)
(v1 - v2)t = v1²/2a --- (2)
From (1):
(v1 - 37.5)t = ¹/₂(3.278)t²
(v1 - 37.5)t = 1.639t²
v1 - 37.5 = 1.639t
v1 = 1.639t + 37.5 -----(3)
From (2):
(v1 - 37.5)t = v1²/(2 x 3.278)
(v1 - 37.5)t = 0.153 ----- (4)
solve 3 and 4;
(1.639t + 37.5 - 37.5)t = 0.153
1.639t² = 0.153
t² = 0.0933
t = 0.31 s
Speed of the police officerv1 = 1.639(0.31) + 37.5 = 38 m/s = 136.8 km/h
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