By calculating, a) frequency = 100 Hz b)wavelength = 4 cm C )Speed = 400 cm/s d) Amplitude = 2 cm e)period = 0.01 s f)wave number = 0.5π g)angular velocity = 200π.
Given in question
Y = 2 sin π (0.5x - 200t)
Y = 2 sin (0.5πx - 200πt)
Comparing it with the standard form of a wave equation:
Y = Asin (kx - ωt) where
A= amplitude
K = wave number = 2π/λ where λ = wavelength
ω = Angular velocity = 2πf where f = frequency
We get
a) 2πf = 200π
f = 100 Hz
b) 2π/λ =0.5π
λ = 2π/0.5π
λ = 4 cm
c) Speed v = ω/k
v = 200π/0.5π
v = 400 cm/s
d) A= amplitude = 2 cm
e) period = 1/f = 0.01 s
f) K = wave number = 0.5π
g) ω = Angular velocity = 200π
Therefore, by comparing a) frequency = 100 Hz b)wavelength = 4 cm C )Speed = 400 cm/s d) Amplitude = 2 cm e)period = 0.01 s f)wave number = 0.5π g)angular velocity = 200π.
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millikan determined the charge on the electron by studying the static charges on oil drops falling in an electric field. a student carried out this experiment using several oil drops fo
1.60×10⁻¹⁹ charge on the electron by studying the static charges on oil drops falling in an electric field
Solving :
Look at the charge differences between the droplets :
A->B: 1.55 x 10⁻¹⁹C
B->C: 1.66 x 10⁻¹⁹C
C->D: 1.501 x 0⁻¹⁹C
The charge difference between the droplets is essentially the same from one droplet to the next. This must mean that there is a one particle difference between each drop (i.e. one additional electron for each drop)
On average, the charge difference is 1.55 x 10⁻¹⁹C, which is very close to the currently accepted value of 1.60 x 10⁻¹⁹C.
What was the aim of Millikan's oil drop experiment?
The Mil likens Oil Drop Experiment was an experiment performed by Robert A. Millikan and Harvey Fletcher in 1909 to live the charge of an electron. This experiment proved to be very crucial within the physics community.
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a scuba diver makes a slow descent into the depths of the ocean. his vertical position with respect to a boat on the surface changes several times. he makes the first stop 8.0 m from the boat but has a problem with equalizing the pressure, so he ascends 3.0 m and then continues descending for another 10.0 m to the second stop. from there, he ascends 7.0 m and then descends for 14.0 m, ascends again for 6.0 m and descends again for 12.0 m, where he makes a stop, waiting for his buddy. assuming the positive direction up to the surface ( ĵ), express his net vertical displacement vector (in m) in terms of the unit vector ĵ. (express your answer in vector form.)
Net vertical displacement vector (in m) in terms of the unit vector is D=−49 j
D=49
What is displacement vector?
A displacement is a vector in geometry and mechanics that has a length equal to the shortest distance between a point P's initial and final positions.
Therefore,
a scuba diver makes a slow descent into the depths of the ocean. his vertical position with respect to a boat on the surface changes several times. he makes the first stop 8.0 m from the boat but has a problem with equalizing the pressure, so he ascends 3.0 m and then continues descending for another 10.0 m to the second stop. from there, he ascends 7.0 m and then descends for 14.0 m, ascends again for 6.0 m and descends again for 12.0 m, where he makes a stop, waiting for his buddy. assuming the positive direction up to the surface ( ĵ), express his net vertical displacement vector (in m) in terms of the unit vector ĵ. (express your answer in vector form.)
D=−49 j
D=49
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vector a has magnitude 4 m and is directed to the south. vector a has magnitude 3 m and is directed to the east. what are the magnitude and direction of s – e? a. 5 m, southeast b. 1 m, southwest c. 5 m, southwest d. 1 m, southeast
The correct option is (c) 5m southwest.
What are vectors?A quantity or phenomena with independent qualities for both size and direction is called a vector. The word can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.
the vector S and E is,
S = -4m j
E = -3m i
the vector is
|S - E| = √(-4)² + (-3)²
|S - E| = 5m
Types of Vectors List
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Determine the time that a paper airplane will fly with an initial velocity of 3.5 m/s
A. 0.36 seconds
B. 2 seconds
C. 3 seconds
D. 0.5 seconds
The time taken for the paper airplane to fly with an initial velocity of 3.5 m/s is 0.36 s (Option A)
Given parameters:Considering the question given, the following data were obtained:
Initial velocity (u) = 3.5 m/sAcceleration due to gravity (g) = 9.8 m/s²Final velocity (v) = 0 m/s (at maximum height)Time (t) =? How do we determine the time?The time can be obtained as follow:
v = u - gt (airplane is going against gravity)
0 = 3.5 - (9.8 × t)
0 = 3.5 - 9.8t
Rearrange
-9.8t = 0 - 3.5
-9.8t = -3.5
Divide both sides by -9.8
t = -3.5 / -9.8
t = 0.36 s
Thus, we can conclude that the time taken for the airplane to fly is 0.36 s (Option A)
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it is raining. the rain falls at 12 m/s at an angle of 30˚ east of the vertical. a person is driving through the rain heading east at 20 m/s. a. as the person glances out of their driver’s side window, what angle does the rain appear to make with the vertical? 53.4˚ w of vertical b. what is the apparent speed of the rain as seen by the driver of the car in that window? 17.43 m/s
Rain falls downward at 6m/s and wind started to flow horizontally. Due to the flow of wind, if the bus driver saw the rain falls vertically downwards.
What is Rain falls?
Rain is made up of water vapor droplets that have condensed from the atmosphere and have fallen due to gravity. Most of the fresh water that falls to the Earth as rain is deposited by rain, which is an important part of the water cycle. It offers irrigation for crops, water for hydroelectric power plants, and favorable environmental conditions for a variety of ecosystems. Moisture traveling along weather fronts, three-dimensional zones of temperature and moisture differences, is the primary driver of rain formation. When convective clouds (those with strong upward vertical motion) like cumulonimbus (thunder clouds), which can condense into narrow rainbands, are sufficiently wet and moving upward, precipitation can form. Where upslope flow is maximum inside windward sides of the topography, considerable precipitation is possible in mountainous places.
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What is the relationship between change in position and velocity?
Answer:
Position and velocity are both vector quantities. Because velocity is the rate of change of position with respect to time, there is a very close relationship between position and velocity. When the position remains constant, the corresponding velocity is zero because there is no change in position and the object is effectively at rest.
Explanation:
A softball player throws a pitch. during the throw, the speed of the softball increases from 0 m/s to 40 m/s in 0.08 seconds. the average acceleration of the ball is...
A softball player throws a pitch. during the throw, the speed of the softball increases from 0 m/s to 40 m/s in 0.08 seconds. The average acceleration of the ball is 500m/s^2
As we know that average acceleration is :
a= Δv/Δt
given:
v1=0 m/s
v2=40m/s
t=0.08 s
put the values in the formula
a= 40 - 0/0.08
a=500m/s^2
Thus the average acceleration is 500 m/s^2.
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By using uniform motion, the average acceleration is 500 m/s².
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
vt = 40 m/s
vo = 0 m/s
t = 0.08 s
By substituting the given parameters, we can calculate the acceleration
vt = vo + a . t
40 = 0 + a . 0.08
a = 40/0.08
a = 500 m/s²
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A woman is pulling a trolley with a 27 N force along the 3.0 m aisle, how much work is done in pulling the cart from one end of the aisle to the other?
Answer:
Work done = 81 Nm
Explanation:
To calculate the work done by a force, we can use the following formula:
[tex]\boxed{\mathrm{Work \: done = \: Force \times Distance \: moved \: in \ direction \: of \: force}}[/tex].
In this question, we are told that the woman applies a force of 27 N to pull a trolley 3.0 m along an aisle. Using this information, as well as the formula above, we can calculate the work done:
Work done = 27 N × 3.0 m
= 81 Nm
Therefore, 81 Nm (or 81 Joules) of work was done pulling the cart from one end of the aisle to the other.
PLEASE HELP. 100 points!
The earliest light in the universe was orange. Describe how that light turned into the background microwave radiation we observe today.
Effect of Solvent:
1. Record the results.
1. H₂O =
2. alcohol =
3. glycerin =
2. In which liquid is the salt most soluble?
3. Using the concept of "Like dissolves like," explain why you got the results you did.
4. Explain how the choice of solvent affects the dissolving process.
1. H2O- The water completely dissolved the salt.
Alcohol- The alcohol dissolved the salt slightly.
Glycerin-The salt has not dissolved at all.
2. Water
3. Like dissolve like basically works on the principle of polarity. It means the substances which possess similar chemical properties may dissolve in each other. For example, ethanol can be dissolved in water because both are polar in nature whereas non-polar molecules can be dissolved in non-polar solvents only.
4. Generally, a solute dissolves faster in a warmer solvent than it does in a cooler solvent because particles have more energy of movement. For example, if you add the same amount of sugar to a cup of hot tea and a cup of iced tea, the sugar will dissolve faster in the hot tea.
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Answer:
this guy right but this is only part 1
Explanation:
Will the velocity of an object change when moving across a surface with NO friction? Explain?
This question is very complicated.
But the short answer is: NoYou see to determine wether an object's velocity changes, we would look at if that object is accelerating or not, that is the literal definition of acceleration.
Newton's second Law of motion suggests that:
[tex]f = ma[/tex]
where f and a are vectors, meaning that a change in direction could mean that the velocity of an object has changed.
If an object is not subjected to friction, it could be subjected to other forces like drag,air resistance,ect... these are called resistive forces.
To make this simpler for you, if you mean that will no friction imply that the speed will minimally change then YES absolutely.
But if you mean that if the object is subjected to no friction (not resistive forces), will that object maintain a constant velocity (speed+direction), probably NOT.
if the student then moves backwards and returns to a position marked 20 meters another 7 seconds later, what is the displacement of the student from starting position?
The student returned to starting point hence the displacement is zero.
What is the displacement?The displacement refers to the distance that is covered in a specified direction. The difference between distance and displacement is that displacement is a vector quantity while distance is a scalar quantity.
If displacement is a vector quantity, it then follows that the direction must be taken into consideration when we are talking about the displacement of the body.
Looking at the fact that the student moves backwards and returns to a position marked 20 meters another 7 seconds later, it then follows that the student returned to starting point and that the displacement is zero.
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Question 2 (1 point)
An object starts at rest and accelerates to a velocity of 8 m/s in
a period of 4 s. What is the acceleration of the object?
m/s²
Answer:
2m/s²
Explanation:
acceleration it the change in velocity over the time taken
Four toy cars are moving at a constant speed until they experience an unbalanced force of 12 n each. which toy car would have an acceleration of 3 m/s2 ? responses the car with a mass of 4 kg the car with a mass of 4 kg the car with a mass of 36 kg the car with a mass of 36 kg the car with a mass of 8 kg the car with a mass of 8 kg the car with a mass of 24 kg
Answer:
4 kg
Explanation:
F = ma
m = f/a = 12 N / 3 m/s^2 = 4 kg
Consider a balloon of mass 0.030kg being inflated with a gas of density 0.54kg/m. What will be the volume of the balloon when it just begins to rise in the air of density 1.29kg/m3. (g=10m/s2) Detailed Explanation Please
the weight of the balloon is .030 * 10 = 0.3 N
the weight of the gas of volume v is 0.54*10 N
The lifting force of a volume of v m³ of displaced air is 1.29v N
so, we need
1.29*10*v = 0.3 + 0.54*10*v
or
1.29v = 0.03+0.54v
The volume of the balloon will be 0.056 m³ when it just begins to rise in the air.
What is volume?
A measurement of three-dimensional space is volume. Numerous imperial or US customary units, as well as SI-derived units (such the cubic metre and litre), are frequently used to quantify it numerically (such as the gallon, quart, cubic inch).
The definition of length (cubed) and volume are connected. The volume of a container is typically thought of as its capacity, or the amount of fluid (gas or liquid) that it could hold, as opposed to the amount of space the container occupies.
Mass of the balloon is = 0.030 kg.
Density of the gas inside the balloon is = 0.54 kg/m³
density of air outside the balloon is 1.29 kg/m³
Hence, volume of the balloon is = mass of the balloon ÷ density of the gas
= 0.030 kg ÷ 0.54 kg/m³
= 0.056 m³
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A small electric heater has a resistance of 15ohms when the current in it is 2 amperes. what voltage is required to produce this current.
A small electric heater has a resistance of 15ohms when the current in it is 2 amperes. what voltage is required to produce this current:V = IR, V = 2A x 15Ω, V = 30V.
What does voltage mean?The "pressure" that pushes electricity is referred to as voltage. A voltage is measured in volts (V), and greater voltages result in more electricity flowing to electronic equipment.Simply put, voltage—also known as an electromotive force—is the amount of energy in one charge. Voltage, then, is the variation in electric potential between two places. Simply put, the current is the pace at which electric charge flows.Customers are typically given 110 to 120 volts (AC) and 220 to 240 volts by power companies (AC). Typically between 110 and 1200 kV, the voltage of electric power transmission lines used to transfer electricity from power plants can be hundreds of times higher than consumer voltages (AC).A small electric heater has a resistance of 15ohms when the current in it is 2 amperes. What voltage is required to produce this current:
V = IR
V = 2A x 15Ω
V = 30V.
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Assuming constant velocities if a fastball pitch is thrown at 40m/s toward home plate 18m away and the head of the bat is simultaneously traveling toward the ball at 18.0m/s how much time elapses before the bat hits the ball
The time elapse before the bat hits the ball is 0.3 s
Given:
Speed of ball = 40m/s
Speed of bat = 18m/s
Now, let's take the sum of the speed of ball and bat relative to each other.
v = 40 + 18.0 = 58.0 m/s
To calculate the time lapse, use the formula given below.
t = d/v
Here d = 18 m i.e. the initial distance between the ball and the bat
v = 58.0 m/s
After substituting the values we'll get
t = 18/58 = 0.31 s
t = 0.3 s
Hence the time that elapses before the bat hits the ball is 0.3 s.
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I need help on this question asap
Answer:
A-to determine how tempreture affects bounce height.
Name the element with 4 valence electrons and 6 energy shells
Answer:
Carbon
Explanation:
Carbon has 6 protons or the electron distribution (equal to protons) is equal to 2 in first energy shell and 4 in the outer energy shell. This makes the carbon atom look out for four electrons to fill it's octet.
Answer: Carbon
Explanation:
carbon has 4 valence electrons (in the outermost shell) and it has 6 energy shells (also known as electron shells)
What acceleration does it take to reach 15 m/s (from rest) in 5 seconds?
Answer:
The answer is simple….
As we know v = u + (a×t)
Where
v is the final velocity
u is the initialvelocity
a is the acceleration
t is the time taken
So according to the question:-
u=0, v=15 , a=3 and we have to find t…
So the equation is written as:-
15 = 0 + (3×t)
=> t = (15 ÷ 3) = 5
Therefore, the time required is 5 seconds..
What do you observe when holding your plastic shopping bag between the light source and the wall
when holding your plastic shopping bag between the light source and the wall we will observe a large shadow in a dark color on the wall.
When we hold the largest plastic shopping bag between the light source and the wall the plastic bag will block the light.
When an object blocks the light way light can't pass through that object and where the light can't pass there we will observe a dark shadow
So here we can say that when we hold a bag between light and wall we will observe a shadow
If the bag is transparent still will we can see a shadow but not as dark as before because when light passes through a transparent it will allow some light through it but not like other materials.
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A hot air balloon starts rising from ground with an acceleration 1.25m/second square. after 8 sec, a stone is dropped from the balloon, time taken to hit the ground will be ?
The stone that is dropped from the balloon, will hit the ground in a time of: 2.857 s
To solve this exercise the formula for uniformly varied rectilinear motion (UVRM) and free fall to be applied are:
h = vi * t + (a * t²) / 2t = √[ (2*h) / g]Where:
a = accelerationvi = initial velocityh = height traveledg = acceleration due to gravityt = timeInformation about the problem:
vi = 0 m/st = 8 sa = 1.25 m/s²h = ?g = 9.8 m/s²t = ?Applying the formula for UVRM we can calculate the height of the hot air balloon:
h = vi * t + (a * t²) / 2
h = 0 m/s * 8 s + [1.25 m/s² * (8 s)²] / 2
h = 0 m + [1.25 m/s² * 64 s²] / 2
h = 0 m + 80 m / 2
h = 80 m/ 2
h = 40 m
Knowing height of the hot air balloon and applying the time formula we can calculate the time taken for the stone to hit the ground:
t = √[ (2*h) / g]
t = √[ (2* 40 m) / 9.8 m/s²]
t = √[ 80 m / 9.8 m/s²]
t = √[ 8.163 s²]
t = 2.857 s
What is free fall?It is when the object or mobile falls from a height (h) with a positive acceleration equal to the gravity, describing a vertical rectilinear travel.
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2. A small 30-kilogram canoe is floating downriver at a speed
of 2 m/s. What is the canoe's kinetic energy?
a. 32 J
c. 120 J
b. 60 J
d. 900 J
1. How is an electromagnet different from other magnets?
O It can repel other magnets
It has poles
It is powered by electricity
O
O It attracts iron
An electromagnet different from other magnets as it is powered by electricity.
What is electromagnet ?An electromagnet is a type of magnet where an electric current creates the magnetic field. The wire that makes up an electromagnet is typically twisted into a coil. A magnetic field is produced by a current flowing through the wire and is concentrated in the hole, designating the center of the coil.
Electromagnets have a few drawbacks, including the fact that they heat up quickly and waste a lot of electrical energy as a result. The steady magnetic field must be maintained for a continuous power supply.
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a model sphere of diameter d is to be immersed in a water tunnel running at a speed of v in order to obtain data that can be used to predict the drag force on a weather balloon that is traveling in air at 1.5 m/s. for a model diameter of 50 mm, the measurement of the drag force on the small sphere yields 3.78 n.
The drag force on the prototype balloon is - 405 km/hr .
Given:
2-m- = diameter satellite dish
81-km/hr = Y
0.4-m- = diameter model dish.
Reynolds number is essential for this, thus,
Vm Dm/vm = VD/v
(D is the diameter of the dish)
Vm = (vm/v) (D/Dm) Y
and if vm/v = 1, then
Vm = (2/0.4) (81)
= 405 km/hr
Thus, the correct answer is - 405 km/hr
What is drag force?A mechanical force is drag. It is created when a solid body interacts with and contacts a fluid (liquid or gas). It is not produced by a force field in the sense of a gravitational field or an electromagnetic field, in which two objects can interact without coming into touch with one another.
Take the drag on a ship going through the water or the drag on a plane flying through the air. Consequently, a drag force is the resistance force brought on by a body moving through a fluid like air or water.
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Powerful people or powerful machines are simply people or machine which always does a lot of work. is this statement true or false? explain
FALSE - Not always.
Machines can do a lot of work, but if they can't do it quickly, they aren't necessarily efficient. In fact, two machines can perform the same task (that is, do the same job), but their power ratings can differ significantly.
We know that machines are man made objects. they work by the instructions given my the people which made them. machines are effective as they can do the work more precisely and effectively but it varies from machine to machine and it depends on a lot of factors.
Machines can do a lot of work until it is workable and it does not have any malfunctioning once it stops working it is not powerful or efficient
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a piston-cylinder apparatus has a 4 kg piston with a diameter of 5 cm resting on a body of water 60 cm high. atmospheric pressure is 101 kpa, and the temperature of the water is 250˚c. what is the mass of water in the container?
The mass of the water in the container is 10,104.00 kg.
A schematic diagram of a piston-cylinder apparatus is shown in the adjoining image.
In the above case, the atmospheric pressure applied by the piston and the weight of the piston should balance the weight of the water inside the container
Hence,
Atmospheric Pressure x Area of Piston + Mass of piston x g = Mass of water x g
101 x 10^3 x pi x (2.5 x 10^-2)^2 + 4 x 10 = Mass of water x 10
Mass of water x 10 = 101,040.001
Mass of Water = 101,040.001/10
Mass of Water = 10,104 kg
Hence, the mass of the water in the container is 10,104.00 kg.
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6. a stuntman is launched vertically into the air from a cannon and eventually falls back to the ground, landing in the cannon exactly where he started. he reached a maximum height of 22 meters in 3.4 seconds and fell back to the ground in 7.6 seconds. the average velocity of the stuntman is 0 m/s, and the average speed of the stuntman is.
Answer:
w
Explanation:
Sokol
which theory best explains color vision in humans? question 23 options: 1) the trichromatic theory 2) the opponent-process theory 3) both the place theory and the frequency theory 4) both the opponent-process theory and the trichromatic theory
Both the trichromatic and opponent-process theories are valid in explaining colour vision in humans.
What is trichromatic theory?According to the trichromatic theory, our ability to perceive red, green, and blue hues as well as the cones' ability to change the neuronal activity ratio when different colors are present (Like a projection T.V.). The precise hue that we see is therefore determined by the ratio of each color to the others.
This hypothesis was developed as a result of color mixture tests in which it was discovered that a combination of three primary colors could match any hue. In the latter part of the seventeenth century, Newton's studies of light and colors sparked the first scientific interest in color.
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A bullet is fired horizontally 0.58 meters off the ground. Assuming gravity is 9.8 m/s2, how long (t) was the bullet in the air?
Since the gravity acts on the vertical component of the velocity of the object, the bullet will spend 0.34 s in air.
What is Vertical Motion ?
Vertical motion is also known as motion under gravity. The gravity acts on the vertical component of the velocity of the object.
Given that a bullet is fired horizontally 0.58 meters off the ground. Assuming gravity is 9.8 m/s², the gravity will act on the bullet vertically.
The height h = 0.58 mThe initial velocity u = 0Using the formula h = ut + 1/2gt² we can know how long (t) was the bullet in the air.
Substitute all the parameters into the formula
0.58 = 0 + 1/2 × 9.8 × t²
0.58 = 4.9t²
t² = 0.58/4.9
t² = 0.1184
t = √0.1184
t = 0.34 s
Therefore, the bullet will spend 0.34 s in air.
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