Answer:
The factor by which the amplitude would change is k = 0.336
Explanation:
From the question we are told that
The distance away from the observer is \(d = 20\ ft\)
The new position of the observer is \(d_1 = 62 \ ft\)
Generally amplitude is inversely proportional to distance
Let A denote the amplitude of the sound at d
So
\(A = \frac{1}{d}\)
Now the amplitude at a distance 62 ft from the speaker can be mathematically represented as
\(A_1 = \frac{d}{d_1} * A\)
substituting values
\(A_1 = \frac{20}{62} * A\)
\(A_1 = 0.336 A\)
so the factor by which the amplitude would change is k = 0.336
The amplitude of the sound change by a factor of 0.336.
Amplitude of sound is inversely proportional to distance.
A ∝ 1/d
A = 1/d
where A is the amplitude and d is the distance
For a distance (d) of 20 ft let the amplitude be A.
If the distance is moved to 62 ft. (d₁), let the new amplitude be A₁. Hence:
\(A_1=\frac{d}{d_1}*A\\\\A_1=\frac{20}{62}*A\\\\A_1=0.336A\\\)
Therefore, The amplitude of the sound change by a factor of 0.336.
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A film of soapy water on top of a plastic cutting board has a thickness of 255 nm. What wavelength and color is most strongly reflected if it is illuminated perpendicular to its surface?
Answer:
the reflected wavelength is lano = 4.55 10⁻⁷ m which corresponds to the blue color
Explanation:
This is a case of reflection interference, we must be careful
* There is a 180º phase change when light passes from the air to the soap film (n = 1,339), but there is no phase change when passing from the pomp to the plastic (n = 1.3)
* the wavelength within the film is modulated by the refractive index
λₙ = λ₀ / n
if we consider these relationships the condition for constructive interference is
2 t = (m + ½) λₙ
2t = (m + ½) λ₀ / n
λ₀ = 2t n / (m + ½)
we substitute the values
λ₀= 2 255 10⁻⁹ 1,339 / (m + ½)
λ₀ = 6.829 10⁻⁷ (m + ½)
let's calculate the wavelength for various interference orders
m = 0
λ₀ = 6.829 10⁻⁷/ ( 0 + ½ )
λ₀ = 13.6 10⁻⁷
it is not visible
m = 1
λ₀ = 6,829 10⁻⁷/ (1 + ½)
λ₀ = 4.55 10⁻⁷
color blue
m = 2
λ₀ = 6.829 10⁻⁷ / (2 + ½)
λ₀ = 2,7 10⁻⁷
it is not visible
therefore the reflected wavelength is lano = 4.55 10⁻⁷ m which corresponds to the blue color
Define kinetic Energy and thermal energy. Describe what happens to each as the temperature of a substance is increases.
Explanation:
Kinetic energy is the energy by virtue of
object's motion whereas Thermal energy is
the internal energy of an object due to the
kinetic energy of its atoms.
On Increasing temperature, they both
increases
Find the equation of the line with slope 23 and y-intercept (0,2).
We have the next form of the equation of the line that is the slope-
\(y=mx+b\)where m is the slope and b is the y-intercept
in our case
m=23
the y-intercept is the value of the y-coordinate when the x coordinate is 0 therefore
b=2
then we substitute the values
\(y=23x+2\)Given that each m³ of mercury weighs1.36 x 10^5 N and each m³ of water weight 1.00 x 10^4 N,
a. determine the pressure at the bottom of a column 0.76 m tall if there is a vacuum above the
mercury.
b. determine the height of a column of water that would yield the same pressure at the bottom,
assuming that a vacuum could again be maintained at the top of the column
A column of water that is 10.2 m tall would yield same pressure at the bottom as a column of mercury that is 0.76 m tall, assuming that vacuum could be maintained at the top of water column.
What is pressure in chemistry?In chemistry, pressure refers to the amount of force exerted per unit area by a gas, liquid or solid on surface.
a. The pressure at the bottom of a column of mercury that is 0.76 m tall is given by:
pressure = density x gravity x height
So, pressure at the bottom of column of mercury is:
pressure = (1.36 x 10⁵ N/m³) x (9.81 m/s²) x (0.76 m)
= 9.98 x 10⁵ N/m²
b. pressure = density x gravity x height
height = pressure / (density x gravity)
height = (9.98 x 10⁵ N/m²) / (1.00 x 10⁴ N/m³ x 9.81 m/s²)
= 10.2 m
So, column of water that is 10.2 m tall would yield same pressure at the bottom as column of mercury that is 0.76 m tall, assuming that vacuum could be maintained at the top of water column.
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In a physics lab, 0.500-kg cart (Cart A) moving rightward with a speed of 92.8 cm/s collides with a 1.50-kg cart (Cart B) moving leftward with a speed of 21.6 cm/s. The two carts stick together and move as a single object after the collision. Determine the post-collision speed of the two carts.
The speed of the two carts after the collision is 10 m/s.
What is momentum?
Momentum is a measure of an object's motion and is defined as the product of an object's mass and velocity. The SI unit of momentum is kilogram-meters per second (kg m/s).
In physics, momentum is an important concept in the study of motion and is related to the forces acting on an object. According to Newton's second law of motion, the momentum of an object changes when a force is applied to the object. The magnitude of the change in momentum is proportional to the size of the force and the time over which it is applied.
In collisions and other interactions between objects, the total momentum of the system is conserved, meaning that the total momentum before the interaction is equal to the total momentum after the interaction.
initial momentum = mA · vA1 + mB · vB1
final momentum = (mA + mB) · vAB2
Where:
mA = mass of cart A = 0.500 kg
vA1 = velocity of cart A before the collision = 100 m/s
mB = mass of cart B = 1.50 kg.
vB1 = velocity of cart B before the collision = - 20 m/s
vAB2 = velocity of the carts that move as a single object = unknown.
(notice that we have considered leftward as negative direction)
Since the momentum of system remains constant:
initial momentum = final momentum
mA · vA1 + mB · vB1 = (mA + mB) · vAB2
Solving for vAB2:
(mA · vA1 + mB · vB1) / (mA + mB) = vAB2
(0.500 kg · 100 m/s - 1.50 kg · 20 m/s) / (0.500 kg + 1.50 kg) = vAB2
vAB2 = 10 m/s
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A 600kg lifts starts from rest. It moves upward for 3.00 s with a constant acceleration until it reaches its final speed of 1.55 ms^-1 . calculate the force exerted by lift motor
We know that,
Force = mass× accelerationWe already have mass so let us calculate accleration experienced by it, using first equation of motion;
v = u + at1.55 = 0 + a(3)1.55 = 3a1.55/3 = a0.51 m/s² = aPut this in force's formula;
f = maf = 600 × 0.51f = 306.00f = 306 NTherefore, the force exerted by the lift is 306 N.
Where is the potential energy equal to zero?
Answer:
im sure your already past this but it's E.
Explanation:
This is because in this case potential energy is linear to height, which means that the higher the more potential energy.
Write the equation in standard form for the circle with center (3,10) and radius 2. hxhtojuqat ,
The standard form equation for the circle with center (3, 10) and radius 2 is: \(\rm 2.x^{2} + y^{2} - 6x - 20y + 105 = 0.\)
What are the seven components of a circle?The radius, diameter, circumference, arc, chord, secant, tangent, sector, and segment are all parts of a circle.
A circle is a round figure with no corners or edges. A circle is a closed shape, a two-dimensional shape, and a curved shape in geometry.
A circle with center (h, k) and radius r has the following standard form equation:
\(\rm (x-h)^{2} + (y-k)^{2} = r^{2}\)
Substituting the values of center and radius:
\(\rm (x-3)^{2} + (y-10)^{2} = 2^{2}\)
Simplifying the equation:
\(\rm x^{2} - 6x + 9 + y^{2} - 20y + 100 = 4\)
\(\rm x^{2} + y^{2} - 6x - 20y + 105 = 0\)
\(\rm x^{2} + y^{2} - 6x - 20y + 105 = 0\)
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Need help fast ! 10 points!
How is thermal energy different from heat?
A. Heat is a form of energy, while thermal energy is a form of energy transfer
B. Thermal energy is a form of energy, while heat is a form of energy transfer
A child holds a sled at rest on frictionless snow covered hill. if the sled weighs 77N,find the force T exerted by the rope on the sled and the force n exerted by the hill on the sled
Answer:62
Explanation:
The weight of the sled is 77 N. The force by the hill on the sled is equal to its weight that is 77 N. Then the tension force exerted by the rope on the sled is being 77N sin θ, where θ be the angle of inclination.
What is force?Force is an external agent acting on an object to change its motion or to deform it. There are various kinds of force like magnetic force, tension force, frictional force, gravitational force etc.
The weight that an object experience on earth is due to the gravitational force. The force that is exerted by a rope on an object is tension force since it is pulling from a side.
The normal force by the hill on the sled is equal to its weight that is 77 N. The tension force on the sled by the rope is dependent on the angle of inclination θ. If know the angle we can find T by the equation:
T = 77 sin θ.
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A 4-lb collar can slide without friction along a horizontal rod and is in equilibrium at A when it is pushed 1 in. to the right and released from rest. The springs are undeformed when the collar is at A and the constant of each spring is 2800 lb/in. Determine the maximum velocity of the collar.
The maximum velocity of the collar is 0.335 m/s.
Maximum velocity of simple harmonic motion
The maximum velocity of a simple harmonic motion occurs when the object is in equilibrium position.
K.E = U
¹/₂mv² = ¹/₂kx²
mv² = kx²
where;
k is spring constant = 2800 lb/in = 316.36 N/mx is extension = 1 in = 0.0254 mm is mass = 4 lb = 1.81 kg\(v = \sqrt{\frac{kx^2}{m} } \\\\v = \sqrt{\frac{316.36 \times 0.0254^2}{1.81} }\\\\v = 0.335 \ m/s\)
Thus, the maximum velocity of the collar is 0.335 m/s.
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Your friend has decided to make some money during the next State Fair by inventing a game of skill. In the game as she has developed it so far, the customer shoots a rifle at a 5.0 cm diameter target falling straight down. Anyone who hits the target in the center wins a stuffed animal. Each shot would cost 50 cents. The rifle would be mounted on a pivot 1.0 meter above the ground so that it can point in any direction at any angle. When shooting, the customer stands 100 meters from where the target would hit the ground if the bullet misses. At the instant that the bullet is fired (with velocity of 1200 ft/sec according to the manual), the target is released from its holder 7.0 meters above the ground. (You see, the trigger is electronically connected to the release mechanism.) Your friend asks you to try out the game which she has set up on a farm outside of town. Before you fire the gun you calculate where you should aim. You may, as usual, neglect any effects of air resistance. Your conclusion? At what angle from the vertical should you aim?
Answer: from the vertical, one should aim 86.6°
Explanation:
height of the center of object = 7.0 m - 0.05 m = 6.95 m
now let the bullet hits centre at point A height x meters from the ground
also let t be the time taken for the bullet to hit the object
so distance travelled by the target will be
d = h - x = 6.95 - x
now using the equation of motion
d = 1/2gt²
so 1/2gt² = 6.95 - x
x = 6.95 - 1/2gt² .........let this be equ 1
let angle of fire be ∅
so v(cos∅) × t = 100
our velocity v is 1200 ft/sec = 365.76 m/s
365.76(cos∅) × t = 100 ........equ 2
also vertical position of the bullet after t is
y = y₀ + c(sin∅)t - 1/2gt²
y = 1 + 365.76(sin∅)t - 1/2gt² ----- equ 3
After time t. the vertical position x and y are same, else the bullet wouldn't have strike target at centre, so;
x = y
we substitute
equ 1 = equ 3
6.95 - 1/2gt² = 1 + 365.76(sin∅)t - 1/2gt²
6.95 - 1 = 365.76(sin∅)t - 1/2gt² + 1/2gt²
5.95 = 365.76(sin∅)t
t = 5.96 / 365.76(sin∅)
now input the above equ into equ 2
365.76(cos∅) × 5.96/365.76(sin∅) = 100
5.95(cos∅)/sin∅ = 100
tan∅ = 5.95/100 = 0.0595
∅ = 3.40°
therefore from the vertical, one should aim (90° - 3.40°) = 86.6°
An object is moving in a straight line with a constant acceleration. Its position is measured at three different times, as shown in the table below.
Time (s) 1 Position, (m)
37.70 9.600
39.30 18.048
40.90 33.792
Calculate the magnitude of the acceleration at t=39.30
The constant acceleration of the object is \(0.414\ m/s^2\).
Acceleration of the objectThe acceleration of the object is constant, and the values at the three different positions is the same.
For the first position and time\(s = v_0 t + \frac{1}{2} at^2\\\\37.7 = v_o(9.6) +\frac{1}{2} a(9.6)^2\\\\ 37.7 = 9.6v_0 + 46.08a\)
For the second position and time\(39.3 = v_o(18.048) +\frac{1}{2} a(18.048)^2\\\\ 39.3 = 18.048v_0 + 162.87a\)
Solve the first and second equation together\(37.7 = 9.6v_0 + 46.08a\\\\39.3 = 18.048v_0 + 162.87a\\\\18.048: \ \ 680.41 = 173.261v_0 + 831.651a\\\\9.6: \ \ \ \ -(377.28 = 173.261 v_0+ 1563.552a)\\------------------\\303.13 = -731.901a\\\\-a = \frac{303.13}{731.901} \\\\-a = 0.414 \ m/s^2\\\\|a| = 0.414 \ m/s^2\)
Thus, the constant acceleration of the object is \(0.414\ m/s^2\).
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which of the models predict that galaxies should be getting farther apart now? (keep in mind that now is located at at time=0years on the graph.)
The models that predict galaxies should be getting farther apart now are; accelerating model, critical model,- and coasting model.
What is accelerating model of the galaxies?
Observations show that the expansion of the universe is accelerating, such that the velocity at which a distant galaxy recedes from the observer is continuously increasing with time.
The accelerating model of the galaxies predicts that galaxies should be getting farther apart now.
From the model presented in the graph critical model of the galaxies also predict that galaxies should be getting farther apart now.
Another model that predicts that galaxies should be getting farther apart now is coasting model.
These models can be seen in the graph as they increase proportional with time. That is the distance between galaxies increase with increase in time measured in years.
Thus, we can conclude that there models ( accelerating, critical and coasting model) predicts the relative position of the galaxies from us.
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What is the net force net
on an airplane window of area 1800 cm2
if the pressure inside the cabin is 0.95 atm
and the pressure outside is 0.76 atm
?
The net force on the airplane window of area 1800 cm² is 3469.47 Pa.m² .
Given:
Pressure inside the cabin: 0.95 atm
Pressure outside the cabin: 0.76 atm
Area of the airplane window: 1800 cm²
Now to find the net force on the airplane window, we can calculate the pressure difference between the inside and outside of the cabin and to calculate the pressure difference, we subtract the outside pressure from the inside pressure.
Pressure Difference = Pressure inside - Pressure outside
Pressure Difference = 0.95 atm - 0.76 atm
Pressure Difference = 0.19 atm
The area of the airplane window is given as 1800 cm². To simplify calculations in SI unit we convert the area to square meters:
Area in m² = (Area in cm²) / 10,000
Area in m² = 1800 cm² / 10,000
Area in m² = 0.18 m²
As we know,
Net Force = Pressure Difference * Area
Net Force = 0.19 atm * 0.18 m²
Net Force = 0.0342 atm·m²
To convert the net force to pascals (Pa), we use 1 atm = 101325 Pa. Multiplying the net force by 101325 Pa, we get
Net Force = 3469.47 Pa·m²
Therefore, the net force on the airplane window is approximately 3469.47 pascals times square meters (Pa.m²).
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https://brainly.com/question/14361879state the law of conservation of energy
Answer:
The law of conservation of energy states that energy can neither be created nor destroyed - only converted from one form of energy to another. This means that a system always has the same amount of energy, unless it's added from the outside.
Explanation:
I hope this quick explanation helps :D
Explanation:
Energy can neither be created or destroyed but can convert one form to the another
How do I find the mass in kg
To find the mass in kilograms, you need to know the object's weight in newtons and the acceleration due to gravity. The formula for finding mass is mass = weight / acceleration due to gravity. So if you have an object with a weight of 100 N and the acceleration due to gravity is 9.8 m/s^2, the mass would be 10.204 kg.
The mass of the block is 0.025 kg or 25 g, when the spring has k = 28 N/m, and compresses 0.11 m before bringing the block to rest.
When a block is dropped onto a spring with k=28 N/m, the block has a speed of 3.2 m/s just before it strikes the spring. If the spring compresses an amount of 0.11 m before bringing the block to rest, what is the mass of the block?The formula for the spring potential energy is given as follows; PE = (1/2) kx² where k is the spring constant and x is the amount of deformation of the spring. Substituting the values given;PE = (1/2) 28 (0.11)²PE = 0.16972 J. According to the law of conservation of energy, the potential energy stored in the spring at maximum compression is equal to the kinetic energy the block had before it struck the spring;KE = (1/2) mv²where m is the mass of the block and v is its velocity.Substituting the values;0.16972 = (1/2) m (3.2)²m = 0.025 kg or 25 gTherefore, the mass of the block is 0.025 kg or 25 g.For more questions on mass
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Acceleration refers to any changes in
Answer:
speed
Explanation:
Why do you think the Founders divided the process into two steps (impeachment and conviction)?
The impeachment process is described in Article I of the United States Constitution. Impeachment is the process by which senior political officials of the government can be removed from office, for reasons of treason, bribery or serious misconduct in the exercise of their functions.
The first step in this process is carried out by the House of Representatives, which is in charge of determining the origin of the impeachment, assessing the grounds and evidence that allow or not to prosecute the politician in question through a simple majority vote. Then, the Senate is in charge of the trial itself, determining the guilt or not of the official.
Ur pfp cute no cap
The Founders divided the process into two steps which are impeachment
and conviction to ensure the affected person has a fair judgement and
subsequent trial.
The house of representatives are in charge of the impeach process if an
office holder commits an offence in which impeachment can suffice. The
members of the house of representatives vote and the office holder is
impeached if the majority vote in that direction.
The Senate then takes over and the person faces trial and the judgement is
passed according to the available evidences.
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1. Why doesn’t the value of the mass attached to the paper strip enter into the calculations?
The paper strip carries very minute amount of mass which will not affect the overall calculation so it can be neglected.
Force is defined as an influence which acts on the object that causes the movement, change in position or motion of an object.
Mass is defined as the amount of matter present in a object . every matter in this object has mass. in case of a free fall we consider the air resistance as negligible it is because if there wont be much resistance because of the air
here the paper strip carries very minute amount of mass and that amount of mass will not affect the over all calculation. so the value of mass attached to the paper strip can be neglected in dong the calculation.
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You normally drive on the freeway between San Diego and Los Angeles at an average speed of 105 km/h (65 mi/h), and the trip takes 1 h and 50 min. On a Friday afternoon, however, heavy traffic slows you down and you drive the same distance at an average speed of only 73.0 km/h (45 mi/h ). How much longer does the trip tske?
The trip takes 48 minutes longer in heavy traffic than it does under normal conditions.
The distance between San Diego and Los Angeles is the same regardless of the speed you are traveling. Let's convert the average speed to the same units:
105 km/h = 65 mi/h
73.0 km/h = 45 mi/h
The time it takes to drive from San Diego to Los Angeles at the normal speed is:
t₁ = 1 hour + 50 minutes = 1.83 hours
The time it takes to drive from San Diego to Los Angeles in heavy traffic is: t₂ = d/v₂
where d is the distance and v₂ is the speed in heavy traffic. Since the distance is the same, we can set t₁ equal to t₂:
t₂ = d/v₂ = t₁
Solving for d, we get:
d = v₁t₁ = (105 km/h)(1.83 h) = 191.85 km
Now we can find the time it takes to drive the same distance at a speed of 73.0 km/h:
t₃ = d/v₃ = (191.85 km)/(73.0 km/h) = 2.63 hours
The difference in time between the two trips is:
Δt = t₃ - t₁ = 2.63 h - 1.83 h = 0.80 h = 48 minutes
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--The given question is incorrect, the correct question is
"You normally drive on the freeway between San Diego and Los Angeles at an average speed of 105 km/h (65 mi/h), and the trip takes 1 h and 50 min. On a Friday afternoon, however, heavy traffic slows you down and you drive the same distance at an average speed of only 73.0 km/h (45 mi/h ). How much longer does the trip take?"
Use the following information to answer questions 2-4. Two people are playing a game of
tug-of-war with the rope attached to a mass of 25 kg at the center. The person pulling to
the left pulls with a force of 20 N. The person pulling to the right pulls with a force of 10 N.
2. Which direction will the 25 kg mass move?
a. Left
b. Right
C. It will not move
How do you know?
What will the velocity of the mass be after 1 second?
What will the velocity of the mass be after 2 seconds?
The direction in which the 25 kg mass will move is to the Left. The correct option is A.
This is because the force pulling to the left is greater than that to the right.
The velocity of the mass after 1 second will be 0.4 m/s
The velocity of the mass after 2 seconds will be 0.8 m/s
What is the net force on the mass of 25 kg?The net force o the mass of 25 kg is given below:
Net force = 20 N - 10 N
Net force = 10 N
The velocity of the mass is given by the formula below:
Velocity = net force * time / mass
velocity after 1 second = 10 * 1 / 25
velocity after 1 second = 0.4 m/s
velocity after 2 seconds = 10 * 2 / 25
velocity after 2 seconds = 0.8 m/s
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In a (n)__ relationship with two variable one increase other decreases
Answer:
n53
Explanation:
sorry
Answer: Negative correlation
Explanation: Negative correlation is a relationship between two variables in which one variable increases as the other decreases, and vice versa. In statistics, a perfect negative correlation is represented by the value -1.0, while a 0 indicates no correlation, and +1.0 indicates a perfect positive correlation.
The diagram below shows snapshots of an oscillator at different times . What is the frequency of the oscillation ?
In the diagram tha shows snapshots of an oscillator at different times, the frequency of the oscillation is 0.555 Hz.
How to calculate the periodThe period of the oscillation is the time taken for the for the object to return to its original position. (ie. Displacement = 0). From the above snapshot,
Period of oscillation = 1.80s.
From here, finding the frequency is simple as, Frequency = 1/Period. Hence,
Frequency = 1/1.80
= 0.555 Hz (3 sf).
The frequency of the oscillation is indeed 0.555 Hz. The frequency represents the number of oscillations or cycles per second. In this case, the object completes approximately 0.555 oscillations per second.
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A car is driving away from you at a constant speed for a while, and then it
gradually slows to a stop. Imagine a speed-versus-time graph showing the
car’s motion. Describe the line on the graph.
The line on the speed-time graph will slant from up to down showing a state of coming to rest.
What is speed - versus - time graph?
A speed versus-time-graph is a type of graph that shows the relationship between the speed of an object and the time of motion of the object.
For upward acceleration of an object when the object is speeding up, the line on the graph for such motion increases upward in a direct relationship with time of motion.
For a downward motion in which the object in motion slows down, the line on the graph for such motion will slant downward showing a gradual decrease in the speed of the object.
Thus, for a car that is driving away from you at a constant speed for a while, and then it gradually slows to a stop, the line on the speed-time graph will slant from up to down showing a state of coming to rest.
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What is the first job u do on the ISS if u were an astronaut
If I were an astronaut, the first job I would do on the International Space Station (ISS) would be to familiarize myself with the station and its systems.
What is expected at ISS?I would need to learn how to operate the various equipment and how to maintain the station in good working order. I would also need to learn the procedures for conducting experiments and for performing spacewalks.
Once I had a good understanding of the station and its systems, I would begin working on my assigned tasks. These tasks could include conducting experiments, performing maintenance, or teaching other astronauts new skills. I would also take the opportunity to conduct research on my own and to learn more about the space environment.
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How are magnetic fields like vectors?
Answer:Magnetic fields from two sources add up as vectors at each point, so the strength of the field is not necessarily the sum of the strengths1. Magnetic fields are vectors, which means they have direction as well as size. Therefore, the sum of two magnetic fields is not simply the sum of their magnitudes2.
Explanation:
what is a circit pls tell me
Answer:
A closed loop that electrons can travel in.
Explanation:
What do all clouds contain the some amount of
Answer:
A cloud is made up of liquid water droplets. A cloud forms when air is heated by the sun. As it rises, it slowly cools it reaches the saturation point and water condenses, forming a cloud.
Explanation:
Which part of a circuit can be turn on and off to make an electromagnet work or stop
Answer:The electric current
Explanation: