Answer:
988.39 N/C
Explanation:
First, we start by finding the magnitude of the electric dipole moment, as it's going to be needed
p = 4.40*10^-9 * 3.10*10^-3
p = 1.364*10^-11 Cm
The charges are in a uniform electric field E whose direction makes an angle of 36.4° with the line connecting the charges.
Magnitude of torque exerted on the dipole,
t = 8.0×10−9 N.m
pEsinO = t, making E subject of formula
E = t / psinO
E = 8.0*10^-9/1.364*10^-11 (sin36.4)
E = 8.0*10^-9/1.364*10^-11 * (0.5934)
E = 8.0*10^-9 / 8.094*10^-12
E = 988.39 N/C
the magnitude of this field is E = 988.39 N/C
The angle of deflection shows the amount of electric force on each balloon. A greater force causes the balloon to deflect to a greater angle. Since the two balloons are deflected to the same angle, we know that the force on each balloon must be the same. Why do you think the balloons have the same amount of force exerted on them?
Answer:
Hello the options to your question is missing attached below are the missing options
Electrical forces are symmetrical, The electric repulsion of the Balloons is equal because electric forces between two objects are always symmetricalThe electric forces are equal in this case because both balloons had the same amount of electric chargeAnswer :
Electrical forces are symmetrical, The electric repulsion of the Balloons is equal because electric forces between two objects are always symmetrical
Explanation:
The Balloons have the same amount of force exerted on them, because Electrical forces are symmetrical, The electric repulsion of the Balloons is equal because electric forces between two objects are always symmetrical, therefore the two Balloons are deflected to the same angle
A ball is thrown straight up and passes point B (at a height of 56.8 m above its starting point O) in 5.8 s. What was its initial speed? The acceleration of gravity is 9.8 m/s 2 . Answer in units of m/s
Answer:
38.2 m/s
Explanation:
Given:
Δy = 56.8 m
a = -9.8 m/s²
t = 5.8 s
Find: v₀
Δy = v₀ t + ½ at²
56.8 m = v₀ (5.8 s) + ½ (-9.8 m/s²) (5.8 s)²
v₀ ≈ 38.2 m/s
3. Will a plant grow higher with more light?
a. Hypothesis + Prediction:
b. Independent Variable (IV):
c. Dependent Variable (DV):
d. Controlling Variable (CV):
e. Experiment:
Answer:
When we analyze the sentence we see that this is a hypotype with the growth of plants must behave and it has a prediction included.
Therefore the correct answer is a
Explanation:
In this exercise you are asked to identify the given sentence with a specific part of the scientific method.
Among the parts of the method we have.
* Independent variable . The controlled variable in research
*Dependent variable. The magnitude measured in the experiment
* Control variable. The magnitude that is not controlled
*Experiment. It is the design of the procedure to evaluate the hypothesis
* Hypothesis. It is the assumption with which scientific work begins
* Prediction. It is a consequence of work if the mortgage is correct.
When we analyze the sentence we see that this is a hypotype with the growth of plants must behave and it has a prediction included.
Therefore the correct answer is a
Of the following, which change in motion took the greatest amount of time?
es )
A)
A ball falling at 73 m/s and hitting the ground at 9.8 m/s?
B)
An object speeding up from 64 m/s to 129 m/s at an acceleration of 9.8
m/s2
A horse slowing from a 90 m/s velocity to a 38 m/s velocity at an
acceleration of 8.2 m/s2
A car slowing down at an acceleration of 5.6 m/s from a speed of 45 m/s
to a speed of 9 m/s.
D
Answer:
A. A ball falling at 73 m/s and hitting the ground at 9.8 m/s
Explanation:
The equation for accleration is a= ▲v/▲t With a final velocity of 0 m/s minus the initial 73 m/s, at an acceleration of 9.8 m/s^2, the ball would take 7.45 seconds to hit the ground.
At 1.70 atm, a sample of gas takes up 4.25L. If the pressure in the gas is increased to 2.40 atm, what will the new volume be?
Answer:
This question is an example of Boyle's gas law which states that the pressure of a given mass of a gas is inversely proportional to its volume at a constant temperature. The formula for this gas law is:
P1·V1 = P2·V2
P1 = initial pressure = 1.7 atm
V1 = initial volume = 4.25 L
P2 = final pressure = 2.4 atm
V2 = final volume = ?
Rearrange the formula to isolate V2. Substitute the known data and solve.
V2 = P1·V1/P2
V2 = 1.7 atm·4.25 L/2.4 atm = 3.0 L to two significant figures
The new volume will be ~3.0 L.
Explanation:
Find the order of magnitude of your age in seconds. 1)10^3 s 2)10^6 s 3)10^9 s 4)10^12 s
B) Estimate the number of times your heart beats in a month.
1)10^2 2)10^4 3)10^6 4)10^8
C) Estimate the number of human heart beats in an average lifetime.
1)10^5 2)10^7 3)10^9 4)10^11
Answer:
A) 3, B) 3, C) 3
Explanation:
The order of magnitude is a very useful unit for when you do not have a precision in the measurement, the way to find it is to take the number to scientific notation and then change the whole part to 101 if it is greater than or equal to five or 10 or less than five
A) take my age to seconds
for example if I am 25 years old.
I take the years to seconds
age = 20 years (365 day / year) (24 h / 1 day) (3600 s / 1h)
age = 630720000 s
we carry scientific notation
age = 6.3072 10⁸ s
as the integer greater than five we change it by 10¹
age = 10⁹s
The correct answer is 3
B) The number of beats per minute approximately 80 beats in a month we have
# beats = 80 beats /min (60min / 1h) (24 h / 1 day) (30 day / 1 month)
# _beats = 3456000 beats / month
#_beats = 3,456 10⁶ beats / month
as the integer is less than five we change it by 10⁰
#_beats = 10⁶
the correct answer is 3
C) the number of heartbeats in life
suppose a life expectancy of 80 years
#_beats_total = 80 pulse /min (60min / 1h) (24 h / 1day) (365 day / year) 80 year
#_total_beats = 3 363 840 000
#_beats_total = 3.36384 10⁹
as the integer is less than five we change it by 10⁰
#_beats_total = 10⁹
the correct answer is 3
Bryan Allen pedaled a human-powered aircraft across the English channel from the cliffs of Dover to Cap Gris-Nez on June 12, 1979. He flew for 169 minutes at an average velocity of 3.53 m/s in a direction 45.0∘ degrees south of east. Allen encountered a headwind averaging 2.00 m/s almost precisely in the opposite direction of his motion relative to the earth. What was his average velocity relative to the air?
Answer:
The answer is "[tex]5.53 \ \frac{m}{s}[/tex]"
Explanation:
apply the formula for calculating the average velocity to the relative air
[tex]V_{PG} =V_{PA}+V_{AG}[/tex]
[tex]\Rightarrow V_{PA} = V_{PG} -V_{AG}[/tex]
Given value:
[tex]V_{AG} = -2 \ \frac{m}{s}[/tex]
[tex]V_{PG} =3.53[/tex]
[tex]\Rightarrow V_{PA} = 3.53 - (-2) \\\\\Rightarrow V_{PA} = 3.53 +2 \\\\\Rightarrow V_{PA} = 5.53 \\\\[/tex]
The final answer is "[tex]5.53 \ \frac{m}{s}[/tex]" in the south-east direction.
Lab reporton motin please help me answer all queastions 1-11 thank you
Answer:
yor welcome
Explanation:
hi
The velocity of sound is generally greater in solids than in gases at NTP. Why?
Answer:
Because they are so close, than can collide very quickly, i.e. it takes less time for a molecule of the solid to 'bump' into its neighborough. Solids are packed together tighter than liquids and gases, hence sound travels fastest in solids.
A woman on a bridge 93.7 m high sees a raft floating at a constant speed on the river below. She drops a stone from rest in an attempt to hit the raft. The stone is released when the raft has 4.94 m more to travel before passing under the bridge. The stone hits the water 1.53 m in front of the raft. Find the speed of the raft.
Answer:
0.779m/s
Explanation:
A woman on a bridge 93.7m high sights a raft floating at a constant speed
She drops a stone from rest in an attempt to hit the raft
The stone is released when the raft had 4.94m to travel before passing under the bridge
The stone hits the water 1.53 m in front of the raft
The first step is to calculate the distance
= 4.94 m-1.53 m
= 3.41m
The time can be calculated as follows
= √2(93.7)/9.8
= √187.4/9.8
= √19.12244
= 4.373 secs
Therefore the speed of the raft can be calculated as follows
Speed= 3.41/4.373
= 0.779m/s
Hence the speed of the raft is 0.779m/s
Determined to test gravity, a student walks off the Burj Khalifa (aka really tall building) in Dubai, which is
829 m high, and falls freely. His initial velocity is zero. Jetpack Woman leaves the roof 5 s later to save
the student with an initial velocity downward and then is in free-fall. In order both to catch the student
and to prevent injury to her, Jetpack Woman should catch the student at a sufficiently great height and
arrive at the ground with zero velocity. The upward acceleration that accomplishes this is provided by
Jetpack Woman's jet pack, which she turns on just as she catches the student; before then the student is
in free-fall. To prevent discomfort to the student, the magnitude of the acceleration is limited to four
times gravity (4 G). (You may assume that Jetpack Woman has superpowers, which allow her to change
velocity instantaneously.) How high above the ground must Jetpack Woman catch the student?
Answer:
y = 165.8 m
Explanation:
This is an exercise in kinematics that we must solve in parts,
Let's start with the final part where we have more data, the final velocity of the student and jet is zero, the upward acceleration is
a = 4g = 4 9.8 = 39.2 m /s²
Let's find the initial velocity and the height
v² = v₂² + 2 a y
0 = v₂² + 2 ay
2ay = - v₂²
v₂² = 2a y
Let's write the equation for the first part
student
v₂² = v₀² - 2 g (y₀ -y)
in this case the student jumps v₀ = 0
v₂² = 2 g (y₀ -y)
the total height is y₀ = 829 m
let's solve the system of equations by equating
2ay = 2 g (y₀ -y)
2a y = 2 g y₀ - 2g y
2 y ( g + a) = 2 g y₀
y = yo g/(g +a)
a= 4 g
y = yo 1/5
calculate
y = 829 /5
y = 165.8 m
Use metric conversion factors to solve each of the following problems:a. If a student is 175 cm tall, how tall is the student in meters?b. A cooler has a volume of 5000 mL. What is the capacity of the cooler in liters?c. A hummingbird has a mass of 0.0055 kg. What is the mass, in grams, of the hummingbird?d. A balloon has a volume of 3500 cm3. What is the volume in liters?
Answer:
a) 1.75 m
b) 5 L
c) 5.5 g
d) 3.5 L
Explanation:
a) cm -> m
1 m = 100 cm, so,
1 cm = 1/100 m
175 cm = 175/100 m
175 cm = 1.75 m
b) mL -> L
1 L = 1000 mL, so
1 mL = 1/1000 L
5000 mL = 5000/1000 L
5000 mL = 5 L
c) kg -> g
1 g = 1/1000 kg, so
1 kg = 1000 g
0.0055 kg = 0.0055 * 1000 g
0.0055 kg = 5.5 g
d) cm³ -> L
1 L = 1000 cm³, so
1 cm³ = 1/1000 L
3500 cm³ = 3500/1000 L
3500 cm³ = 3.5 L
therefore, we can conclude that 175 cm is 1.75 m, 5000 mL is 5 L, 0.0055 kg is 5.5g and 3500 cm³ is 3.5 L
Answer:
Explanation:
Answer:
a) 1.75 m
b) 5 L
c) 5.5 g
d) 3.5 L
Explanation:
a) cm -> m
1 m = 100 cm, so,
1 cm = 1/100 m
175 cm = 175/100 m
175 cm = 1.75 m
b) mL -> L
1 L = 1000 mL, so
1 mL = 1/1000 L
5000 mL = 5000/1000 L
5000 mL = 5 L
c) kg -> g
1 g = 1/1000 kg, so
1 kg = 1000 g
0.0055 kg = 0.0055 * 1000 g
0.0055 kg = 5.5 g
d) cm³ -> L
1 L = 1000 cm³, so
1 cm³ = 1/1000 L
3500 cm³ = 3500/1000 L
3500 cm³ = 3.5 L
therefore, we can conclude that 175 cm is 1.75 m, 5000 mL is 5 L, 0.0055 kg is 5.5g and 3500 cm³ is 3.5 L
A 50 mm diameter thin walled pipe is covered with an insulation layer with thicknessof 25mm and thermal conductivity of0.075W/mK. The inner pipe carries a superheated vapor at atmospheric pressure. The steam temperature entering the pipe is 120°Candthe air temperature is 20°C. The convection heat transfer coefficient on top of the insulation layer is 15W/m(K. If the velocity of the steam is 10 m/s, at what point along the pipe the steam starts to condense?
Answer:
The steam will start to condense at 6.6 mm into the pipe
Explanation:
The volume flow rate =π×(50/1000)²/4×10 = 0.0196 m³/s
The specific volume of the steam = 1.769 m³/kg
Therefore;
The mass flow rate = 0.0196/1.769 = 0.011099 kg/s
The resistance of the insulation material = ln(0.075/0.05)/(2×π×0.075) = 0.860 K/W
The resistance of the outside film of the insulator = 1/(15×2×π×0.075×1) = 0.14147 K/W
The total resistance = 0.14147 + 0.860 = 1.00147 K/W
1/(UA) = 1.00147 K/W
A = 2×π×0.05×1
1/U = 0.3146
U = 3.178 W/m² K
We have;
T(x) = T₀ + (Tin - T₀) exp(-UπDx/mcp)
Therefore, when T(x) = 100°C, we have;
100 = 20 + (120 - 20)exp(-3.178×π×0.05x/(0.011099 × 1.33))
Solving, we get
x = 6.597× 10⁻³ m ≈ 6.6 mm
Therefore, the steam will start to condense at 10 mm into the pipe.
As it heats, does fluid rise or compact
s
Answer: The fluid would rise.
Use the mass and volume data to calculate the density of liquid propane to the nearest hundredth. Mass of propane = 4,300 g Volume of propane = 10,000 mL The density of liquid propane is g/mL
Answer:
0.43
Explanation:
because i said it was
Answer:
0.43
Explanation:
Because he said it was (and yes it is right)
A positive and a negative charge are released from rest in vacuum. They move toward each other. As they do: A positive and a negative charge are released from rest in vacuum. They move toward each other. As they do: A negative potential energy becomes less negative. A positive potential energy becomes a negative potential energy. A positive potential energy becomes more positive. A negative potential energy becomes more negative. A positive potential energy becomes less positive. SubmitRequest Answer
Answer:
A negative potential energy becomes more negative
Explanation:
Let the charges be - Q₁ and Q₂ . Let the distance between them be d .
Potential energy = k -Q₁x Q₂ / R
= - KQ₁ Q₂ / R
Now if the magnitude of R decreases , the magnitude of potential energy increases . So we see that the negative potential energy becomes more negative .
Coulomb's Law: Two identical small charged spheres are a certain distance apart, and each one initially experiences an electrostatic force of magnitude F F due to the other. With time, charge gradually diminishes on both spheres by leaking off. When each of the spheres has lost half its initial charge, what will be the magnitude of the electrostatic force on each one?
Answer:
The magnitude of electrostatic force on each charge is quarter of the magnitude of initial electrostatic force. ( ¹/₄ F)
Explanation:
The electrostatic force between two charges is given by Coulomb's law;
[tex]F = \frac{kQ_1Q_2}{r^2}[/tex]
where;
Q₁ and Q₂ are the magnitude of the charges
r is the distance between the charges
k is Coulomb's constant
Since the charges are identical;
Q₁ = Q
Q₂ = Q
the electrostatic force experienced by each charge is given by;
[tex]F = \frac{kQ^2}{r^2}[/tex]
When each of the spheres has lost half of its initial charge;
Q₁ = Q/2
Q₂ = Q/2
[tex]F_2 = \frac{k(Q/2)(Q/2)}{r^2}\\\\ F_2 = \frac{k(Q)(Q)}{4r^2}\\\\F_2 = \frac{1}{4} (\frac{kQ^2}{r^2} )\\\\F_2 = \frac{1}{4} (F)[/tex]
Therefore, the magnitude of electrostatic force on each charge is quarter of the magnitude of initial electrostatic force.
why did the chicken cross the road?
Answer:
To go to heaven
Explanation:
The chicken was on a dark path
Answer:
to get to the other side.
Explanation:
wanna rethink ur childhood? this joke is actually dark. the chicken was suicidal or depresssed so it crossed the road and got ran over by a car. so "to get to the other side" means the afterlife, or, heaven.
yea found this out like a week ago :/
Select all that apply.
A chemist is likely to do which of the following?
analyze the ingredients in ice cream
determine why planets orbit the Sun
determine how to separate gasoline from other substances in petroleum
determine the force necessary to push a button through a button hole
Answer:
Determine how to separate gasoline from other substances in petroleum
(URGENT) A ball rolls off a ledge. Its velocity is 7.70m/s in a horizontal direction. It falls on the floor 1.60m below the ledge. What is the horizontal distance that it travels while in the air?
Answer:
the horizontal distance is 4.355 meters
Explanation:
The computation of the horizontal distance while travelling in the air is shown below:
Data provided in the question is as follows
Velocity = u = 7.70 m/s
H = 1.60 m
R = horizontal direction
Based on the above information
As we know that
R = u × time
where,
Time = [tex]\sqrt{\frac{2H}{g} }[/tex]
So,
= [tex]7.70\times \sqrt{\frac{2\times 1.60}{10} }[/tex]
= 4.355 meters
hence, the horizontal distance is 4.355 meters
A clever physics student is able to sneak a scale on a popular ride at an amusement park. Before the ride begins to move, the scale reads 700 N for the student's weight. As the ride lifts, it initially accelerates upward at 3 m/s2. At the top, the riders are held in suspense before the gondola is allowed to free fall downward with acceleration equal to g. What should the scale read for the student's apparent weight during the lift and the fall
Answer:
(a) the student's apparent weight during the lift is 914.2 N
(b) the student's apparent weight during the fall is 0
Explanation:
Given;
student weight, W = 700 N
upward acceleration, a = 3 m/s²
Apply Newton's second law of motion;
The reading on the scale = student's apparent weight
(a) during the lift
R = W + F
R = W + ma
where;
m is mass of the student = 700 / 9.8 = 71.4 kg
R = 700 + 71.4(3)
R = 700 + 214.2 N
R = 914.2 N
(b) during the fall
R = W - ma
R = mg - ma
R = m(g-a)
here, a = g
R = m(g - g)
R = m(0)
R = 0
Thus, during the free fall the student experiences weightlessness or zero apparent weight.
Select the correct answer. Which sentence about particles in matter is true? A. Atoms are present in solids and liquids but not in gases. B. The particles of matter are in constant motion. C. The same kinds of atoms are found in different elements. D. When a solid changes to a liquid, the sizes of the particles change.
Answer:
B : The particles of matter are in constant motion
Explanation:
Joelle is a manager at a construction company, and she is interested in the chemistry behind the materials they use. She has begun studying the materials used to fill walls. She knows that to keep the temperature inside a room steady the material must be a thermal insulator, and she predicts that materials should not be acidic or else they would dissolve too easily in water. Which is most likely a molecule in a wall-filling material? C6H6 Na6Ba6 NeNa HCl
Answer:
C6H6
Explanation:
I just took the test.
The only compound in the given options that is not soluble in water at normal condition is benzene (C₆H₆).
The material used in the wall-filling cannot be acidic or acidic salts. Acids and acidic salts have the tendency to dissolve in water.
An acid salt is a type of salt that can produce an acidic solution when it dissolves in water or other solvents.
In given compounds we can eliminate the possible acids and acid salts or water soluble compounds.
compounds of sodium are soluble in water (eliminate Na₆Ba₆ and NeNa)Hcl is acid which will dissolve in waterThus, the only compound in the given options that is not soluble in water at normal condition is benzene (C₆H₆).
Learn more here: https://brainly.com/question/1395658
How does an atom become an anion?
A. It loses one or more protons to another atom to become negatively charged.
B. It gains one or more protons from another atom to become positively charged.
C. It gains one or more electrons from another atom to become negatively charged.
D. It loses one or more electrons to another atom to become positively charged.
Answer:
C. It gains one or more electrons from another atom to become negatively charged.
Explanation: When it gains electrons it becomes negatively charged and is called an anion. When it loses electron(s) it becomes positively charged and is called a cation.
Hope this helps
Plz mark brainleist
An atom becomes an anion when it gains one or more electrons from another atom, resulting in a net negative charge. This process occurs through the formation of chemical bonds, typically in ionic compounds.
An atom's position in the periodic table affects how likely it is to gain electrons. Atoms in nonmetals and other elements on the right side of the periodic table have a stronger attraction for electrons and are more prone to undergo anion formation.
The extra electrons fill the highest energy level, creating a stable arrangement of electrons like that of a noble gas. Anions contribute to the overall charge balance of compounds and are crucial in a number of chemical processes.
To know more about Atom :
https://brainly.com/question/1566330
#SPJ6.
Which expression represents the sum of 8 and twice a number
8+n
8+2n
8×2n
2×(8+n)
Answer:
8 + 2 n (second expression listed)
Explanation:
Since we don't know the number, we represent it with a letter (n).
Twice a number (two times that number) will therefore be: 2 n.
and the addition (sum) of 8 to such will lead to 8 + 2 n
The sum of 8 and twice a number is : 8 + 2 n
A ferry is travelling at 10 m/s relative to the river towards the south. The river is flowing at 2 m/s relative to
the riverbank towards the south. If a passenger on the ferry walks towards the rear of the ferry (north) at 1.0
m/s, what is their velocity relative to the riverbank?
Answer:
11 m/s south
Explanation:
The velocity of the passenger relative to the river bank is equal to the velocity of the passenger relative to the ferry, plus the velocity of the ferry relative to the river, plus the velocity of the river relative to the river bank.
v_passenger,bank = v_passenger,ferry + v_ferry,river + v_river,bank
If we take north to be positive and south to be negative:
v = 1.0 m/s + (-10 m/s) + (-2 m/s)
v = -11 m/s
v = 11 m/s south
You are working on a laboratory device that includes a small sphere with a large electric charge Q. Because of this charged sphere, there is a strong electric field surrounding your device. Other researchers in your laboratory are complaining that your electric field is affecting their equipment. You think about how you can obtain the large electric field that you need close to the sphere but prohibit the field from reaching your colleagues. You decide to surround your device with a spherical transparent plastic shell. The nonconducting shell is given a uniform charge distribution. Required:a. The shell is placed so that the small sphere is at the exact center of the shell. Determine the charge that must be placed on the shell to completely eliminate the electric field outside of the shell. b. What if the shell moves? Does the small sphere have to be at the center of the shell for this scheme to work?
Answer:
the only effect it has is to create more induced charge at the closest points, but the net face remains zero, so it has no effect on the flow.
Explanation:
We can answer this exercise using Gauss's law
Ф = ∫ e . dA = [tex]q_{int}[/tex] / ε₀
field flow is directly proportionate to the charge found inside it, therefore if we place a Gaussian surface outside the plastic spherical shell. the flow must be zero since the charge of the sphere is equal induced in the shell, for which the net charge is zero. we see with this analysis that this shell meets the requirement to block the elective field
From the same Gaussian law it follows that if the sphere is not in the center, the only effect it has is to create more induced charge at the closest points, but the net face remains zero, so it has no effect on the flow , so no matter where the sphere is, the total induced charge is always equal to the charge on the sphere.
A naughty girl throws a stone off a cliff with an initial horizontal speed of 5.4 m/s. The stone was in the air for 1.4 seconds before hitting the ground. How high is the chur?
(Hint: Create a table with X-component and y-component then list your number symbol under the correct column.)
Answer:
9.6 m
Explanation:
h = y_0 t + 1/2 a t^2 = 1/2 (9.81) (1.4)^2 = 9.6 m.
What does the big bang theory suggest
Answer:
The Big Bang Theory is the leading explanation about how the universe began. At its simplest, it says the universe as we know it started with a small singularity, then inflated over the next 13.8 billion years to the cosmos that we know today.
Explanation: Hope this help! :)
An archer fires an arrow straight up into the air with a speed vo = 29 m/s. Neglect air resistance.Required:a. FInd the Maximum height h reached by the arrow, in meters.b. What is the mass of the car plus its occupants in kg?
Answer:
42.9 m.
Explanation:
The following data were obtained from the question:
Initial velocity (v₀) = 29 m/s
Acceleration due to gravity (g) = 9.8m/s²
Maximum height (h) =.?
The maximum height reached can be obtained by using the following formula:
H = v₀² /2g
Where:
H is the maximum height reached.
v₀ is the initial velocity.
g is the acceleration due to gravity.
H = v₀² /2g
H = (29)² / (2 × 9.8)
H = 841 / 19.6
H = 42.9 m
Therefore, the maximum height reached by the arrow is 42.9 m
