Answers
A map key is a visual explanation of the symbols used on the map. It typically includes a sample of each symbol (point, line, or area), and a short description of what the symbol means.
Related Questions
A section of a sphere has a radius of curvature of 0.72 m. If this section is painted with a reflective coating on both sides, what is the focal length of:
Answers
Answer:
The value is \(f = 0.36 \ m\)
Explanation:
From the question we are told that
The radius of curvature is \(R = 0.72 \ m\)
Generally the radius of curvature is mathematically represented as
\(R = 2f\)
Here \(f\) is the focal length hence
\(f = \frac{R}{2}\)
=> \(f = \frac{0.72}{2}\)
=> \(f = 0.36 \ m\)
What are the 3 V’s of Big Data?
Answers
Answer:
Volume, velocity and variety.
How can we show that air can do work?
Answers
Air can do work when it exerts a force on an object and causes it to undergo displacement. The ability of air to do work is evident in various phenomena, such as wind pushing sails, fans moving objects, and air pressure powering pneumatic systems.
Air can do work through its ability to exert a force over a distance. Work is defined as the transfer of energy that occurs when a force is applied to an object and it undergoes displacement in the direction of the force. When air is in motion, it possesses kinetic energy and can exert a force on objects in its path, thus performing work.
To understand how air can do work, we can consider the example of a moving fan. When a fan is turned on, the blades start to rotate, creating a flow of air. As the air moves, it carries kinetic energy. When the moving air encounters an object, such as a piece of paper, the air molecules collide with the paper's surface and exert a force on it. This force causes the paper to move and displaces it from its initial position.
The work done by the air can be calculated using the equation:
Work = Force * Distance * cos(θ)
Where Force is the magnitude of the force exerted by the air, Distance is the displacement of the object, and θ is the angle between the direction of the force and the displacement.
In the case of air doing work on an object, the force exerted by the air is perpendicular to the direction of motion, resulting in θ = 90 degrees. Since cos(90) = 0, the equation simplifies to:
Work = Force * Distance * 0
Therefore, the work done by the air on the object is zero when the force exerted by the air is perpendicular to the displacement.
However, if the force exerted by the air is not perpendicular to the displacement, such as when blowing air at an angle to move an object, then work is performed. The air exerts a force on the object and causes it to move in the direction of the force, resulting in the transfer of energy.
For more such information on: work
https://brainly.com/question/25573309
#SPJ8
The LR circuit has a resistor R = 20 Ohms and an inductor L = 20 mH. hen switch closes, the circuit is connected to a battery that provides a dc voltage of 20V. What is the current through the battery 2 ms after the switch closes?
Answers
Given,
The resistance of the resistor, R=20 Ω
The inductance of the inductor, L=20 mH
The battery voltage, V=20 V
The time instant, t=2 ms=2×10⁻³ s
The instantaneous current through an LR circuit is given by,
\(I=\frac{V}{R}(1-e^{\frac{-Rt}{L}})\)On substituting the known values,
\(\begin{gathered} I=\frac{20}{20}(1-e^{\frac{20\times2\times10-3}{20\times10-3}}) \\ =6.39\text{ A} \end{gathered}\)Thus the instantaneous current through the circuit is 6.39 A
Select the correct answer. What is the electron configuration of an element with atomic number 15? A. B. O C. O D. OE. 15² 25² 2p6 1s² 2s² 2p 3s² 3p5 1s² 25² 2p 3s² 3p³ 1s² 25² 2p 3s² 1s² 2s² 2p 3p³ 3s² 3p¹
Answers
The electron configuration of an element with atomic number 15 is 3s² 3p⁵.
What is electronic configuration?The electron configuration of an element with atomic number 15 (which corresponds to the element phosphorus) can be determined by following the Aufbau principle and the Pauli exclusion principle. The Aufbau principle states that electrons occupy the lowest energy levels available, while the Pauli exclusion principle states that each orbital can hold at most two electrons with opposite spins.
What is energy level of phosphorus?Starting with the first energy level, we fill in the electrons for each subsequent energy level until we reach the 15 electrons of phosphorus: 1s² 2s² 2p⁶ 3s² 3p⁵
To know more about electron configuration visit:-
brainly.com/question/30784604
#SPJ1
Why are protists difficult classify?
Answers
Answer:
Protists are difficult to characterize because of the great diversity of the kingdom. These organisms vary in body form, nutrition, and reproduction. They may be unicellular, colonial, or multicellular.
Answer:
There are many varying characteristics and exceptions to each type of protist.
They have been previously categorized based on what they are not
Recent studies show that protists have not descended from one common ancestor.
Explanation:
its right i took test :)
with an armature resistance of 0.03 2 and a field resistance of
41.67 2. The motor has compensating windings, so armature
reaction can be ignored. Mechanical and core losses may be
assumed to be negligible for the purposes of this problem. The
motor is assumed to be driving a load with a line current of 126 A
and an initial speed of 1103 r/min. To simplify the problem,
assume that the amount of armature current drawn by the motor
remains constant.
A. If the machine's magnetization curve is shown in Figure 8-9, what is the motor's
speed if the field resistance is raised to 50 ?
B. Calculate and plot the speed of this motor as a function of the field resistance RF
assuming a constant-current load.
R₁ = 0.03 2
EA
IA
IF
IL
RF + Radj
LF
+
250 V
Answers
A. The motor's speed is approximately 1086 r/min if the field resistance is raised to 50 Ω.
B. The speed of this motor as a function of the field resistance RF is approximately 1086 r/min
A. According to the magnetization curve shown in Figure 8-9, the motor's speed can be calculated by using the following equation:
EA = kϕN, where EA is the back EMF, k is a constant, ϕ is the magnetic flux, and N is the motor speed.
Since the amount of armature current remains constant, the back EMF is also constant.
Therefore, the magnetic flux must also be constant. The magnetic flux is proportional to the field current IF, which can be calculated using Ohm's law:
IF = (250 V - EA)/(RF + R₁)
At the initial field resistance of 41.67 Ω, the field current is IF = (250 V - EA)/(41.67 Ω + 0.03 Ω) = (250 V - EA)/41.70 Ω.
If the field resistance is raised to 50 Ω, then the new field current is IF = (250 V - EA)/(50 Ω + 0.03 Ω) = (250 V - EA)/50.03 Ω.
Since the magnetic flux is constant, we can set the two expressions for IF equal to each other and solve for N:
kϕN/IF1 = kϕN/IF2
N = (IF2/IF1)N1 = (250 V - EA)/(50.03 Ω + 0.03 Ω) * 1103 r/min ≈ 1086 r/min
Therefore, the motor's speed is approximately 1086 r/min if the field resistance is raised to 50 Ω.
B. The speed of the motor as a function of the field resistance RF can be plotted using the same equation used in part A:
N = (250 V - EA)/(RF + R₁ + Radj) * 1103 r/min
where Radj is the resistance of any additional resistance in the circuit. Since the load current is constant, the current through the motor is also constant, so EA is also constant.
Therefore, the speed is inversely proportional to the total resistance in the circuit, which includes the field resistance RF, armature resistance R₁, and any additional resistance Radj.
A plot of the speed as a function of the field resistance is shown in Figure 8-10. As the field resistance increases, the speed of the motor decreases due to the increased total resistance in the circuit. This relationship is linear for this type of constant-current load.
For more such questions on speed, click on:
https://brainly.com/question/13943409
#SPJ11
Highschool Physics
1. The driver of a car traveling at 9.0m/s is honking their horn. The horn has a frequency of 625 Hz. If the car is moving toward a person waiting at the crosswalk, what frequency of the horn does the person hear?
2. As the same car from question#1 passes the person, what frequency of the horn does the person hear as the car moves away from them?
Answers
Using the formula for the Doppler effect:
f' = (v + vr) / (v + vs) * f
Given:
Source frequency (horn): f = 625 Hz
Speed of sound: v = 343 m/s (approximate value at room temperature)
The velocity of the receiver, vr, is zero because the person waiting at the crosswalk is stationary.
The velocity of the source, vs, is the speed of the car, which is given as 9.0 m/s.
Thus:
f' = (v + vr) / (v + vs) * f
= (343 m/s + 0) / (343 m/s + 9.0 m/s) * 625 Hz
= (343 m/s) / (352 m/s) * 625 Hz
≈ 609 Hz
Therefore, the person waiting at the crosswalk hears a frequency of approximately 609 Hz.
(2)Using the same Doppler effect formula:
f' = (v - vr) / (v - vs) * f
In this case, the velocity of the receiver, vr, is still zero because the person remains stationary.
The velocity of the source, vs, is now negative, indicating that the car is moving away from the person.
Thus:
f' = (v - vr) / (v - vs) * f
= (343 m/s + 0) / (343 m/s - (-9.0 m/s)) * 625 Hz
= (343 m/s) / (352 m/s) * 625 Hz
≈ 609 Hz
In other words, as the car moves away from the person, they would still hear a frequency of approximately 609 Hz.
More on Doppler effect can be found here: https://brainly.com/question/15318474
#SPJ1
What would you estimate for the length of a bass clarinet, assuming that it is modeled as a closed tube and that the lowest note that it can play is a D b whose frequency is 69 Hz
Answers
Answer:
1.24m
Explanation:
See attached file
Based on the diagram, what is the difference in how economic decisions are made in a mixed economy and a market economy? E.1.2
How Economic Decisions are Made
By the Government,
command
economy
By the Consumers
mixed
economy
market.
economy
O Consumers make all economic decisions in a mixed economy, while the government makes all economic decisions in a market economy.
Government and consumers make economic decisions in a mixed economy, while consumers make economic decisions in a market economy.
Government makes all economic decisions in a mixed economy, while consumers make all economic decisions in a market economy.
O Consumers make economic decisions in a mixed economy, while consumers and government make economic decisions in a market economy.
Answers
Based on the diagram, the correct statement is: Government and consumers make economic decisions in a mixed economy, while consumers make economic decisions in a market economy.
How do we explain?In a mixed economy, economic decisions are made by both the government and consumers.
The government plays a significant role in regulating and influencing economic activities through policies, regulations, and interventions.
In market economy, economic decisions are primarily made by consumers. The market forces of supply and demand dictate the allocation of resources, production levels, and pricing.
The freedom to buy and sell whatever they choose is what ultimately determines how commodities and services are produced and distributed.
Learn more about Economic Decisions at:
brainly.com/question/30296708
#SPJ1
The first P-wave of an earthquake travels 5600 kilometers from the epicenter and arrives at a seismic station at 10:05 a.m. At what time did this earthquake occur?
Ahhhhhh I have a Regent's test in 2 hours and I don't know how to solve this type of question! Any help would be appreciated.
Anyone know what the steps to do this are? I dont even need an answer, just how to get to it. Thank you!
Answers
The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.
The p-waves travel with a constant velocity of 7 km/s
The time can be calculated by using the formula
t = d / v
where
T1 = 10:05 a.m
d is the distance they take to travel from the epicenter
v is the speed of the p-waves
On average, the speed of p-waves is
v = 7 km/s
d = 5600 km (given)
Substituting the values in the formula;
t = d / v
t = 5600 ÷ 7
t = 800 seconds
Converting into minutes,
t = 800 ÷ 60
t = 13.3
≈ 13 mins
T1 - 13 mins = T2
10:05 - 13 mins = 9.52 am
It means the earthquake occurred prior 13 minutes, that is at 9.52 am.
Therefore, the earthquake occurred at 9.52 am.
Learn more about earthquakes from the given link.
https://brainly.com/question/25843505
A 35.30-kg box is attached to a light string that is wrapped around a cylindrical frictionless spool of radius 10.0 cm and moment of inertia 4.00 kg * m^2. The spool is suspended from the ceiling, and the box is then released from rest a distance from rest a distance 3.50 m above the floor. How long does it take for the box to reach the floor?
Answers
Answer:
The velocity of the box is related to the angular velocity of the spool, which is given by the equation:
v = r * ω
where r is the radius of the spool and ω is the angular velocity of the spool. The angular velocity of the spool, in turn, is related to the torque applied to the spool by the tension in the string, which is given by the equation:
τ = I * α
where τ is the torque, I is the moment of inertia of the spool, and α is the angular acceleration of the spool.
The tension in the string is equal to the weight of the box, which is given by:
T = m * g
Putting all of these equations together, we can solve for the time it takes for the box to reach the floor. Here's how:
First, we can find the angular acceleration of the spool using the torque equation:
τ = I * α
T = m * g = τ
m * g = I * α
α = (m * g) / I
α = (35.30 kg * 9.81 m/s^2) / 4.00 kg*m^2
α = 86.53 rad/s^2
Next, we can find the angular velocity of the spool using the kinematic equation:
ω^2 = ω_0^2 + 2 * α * θ
where ω_0 is the initial angular velocity (which is zero), θ is the angle through which the spool has turned (which is equal to the distance the box has fallen divided by the radius of the spool), and ω is the final angular velocity (which is what we want to find). Solving for ω, we get:
ω^2 = 2 * α * θ
ω = sqrt(2 * α * θ)
ω = sqrt(2 * 86.53 rad/s^2 * (3.50 m / 0.10 m))
ω = 166.6 rad/s
Finally, we can find the time it takes for the box to reach the floor using the equation:
v = r * ω
v = 0.10 m * 166.6 rad/s
v = 16.66 m/s
t = d / v
t = 3.50 m / 16.66 m/s
t = 0.21 s
What do mammoths and tigers need energy for
Answers
.............
Roy pushes a box of mass 19.8 kilograms across a floor by exerting a horizontal force of 93.2 newtons. The coefficient of kinetic friction between the box and the floor is 0.355, and Roy pushes the box 16.4 meters. What work does Roy do? Include units in your answer. Answer must be in 3 significant digits.
Answers
Answer:
\(W_r=398.77912J\)Explanation: A box that has a mass of 19.8kg is pushed across 16.4m on the floor with a force of 93.2N, the floor has 0.355 as the coefficient of kinetic friction:
Visual Illustration of the problem:
Net work done by roy:
\(\begin{gathered} F_n=F_r+F_f\Rightarrow F_n=F_r+\mu N \\ \mu=0.355\Rightarrow\text{ Coefficient of kinatic friction} \\ N=(19.8\operatorname{kg})\cdot(9.8ms^{-2})\Rightarrow\text{ Normal force on the box} \\ \therefore\Rightarrow \\ F_n=(93.2N)-(0.355)\cdot(19.8\operatorname{kg}\cdot9.8ms^{-2}) \\ F_n=24.3158 \\ \therefore\Rightarrow \\ W_r=F_n\cdot d\Rightarrow W_r=(24.3158)\cdot(16.4m)=398.77912J \\ W_r=398.77912J \end{gathered}\)
: How is a group of people pulling up on a bucket similar to the way a pulley system works? How is it different?
Answers
A group of people pulling up on by pulley is way easier than by pulling directly because a pulley system is a freight lift system that allows objects to be hoisted to higher floors with less force. The pulley mechanism is used for Wells to hoist the bucket out of the well. In order to operate, certain forms of gym equipment use pulleys. In order to lift and position heavy goods, building pulleys are used.
What is pulley?A wheel on an axle or shaft known as a pulley is used to transfer power from the shaft to the cable or belt or to sustain movement and direction change of a taut cable or belt. The supporting shell is known as a block, and the pulley may also be referred to as a sheave or a pulley wheel when it is supported by a frame or shell but does not transmit power to a shaft. For the purpose of locating the cable or belt, a pulley may include a groove or grooves between flanges around its circle. A rope, cable, belt, or chain may serve as the drive component of a pulley system. It is example of simple machines.
To know more about Pulley, visit;
brainly.com/question/20541356
#SPJ1
Water flows through a pipe that has a variable diameter as shown. At point X, the diameter of a pipe is 3cm and water flows with a speed 10.8 m/s. The diameter of the pipe at point Y is 6 cm. What is the speed of the water at point Y?
Answers
The speed of the water at point Y = 43.2m/s
What is speed?
The most crucial scientific concept is measurement. Base or physical fundamental units are used to measure a wide range of measurable quantities. One such measurable quantity is speed, which calculates the ratio between the distance an object travels and the time needed to cover that distance. Let's explore speed in-depth in this session.
If an object travels the same distance in the same amount of time, it is said to be moving at uniform speed. When an object travels a different distance at equal intervals of time, it is said to be moving at variable speed.
Since water flows through the diameter 3cm at speed 10.8m/s
It enters larger pipe of diameter 6cm
velocity of large pipe = velocity of small pipe (area of large pipe/ area of large pipe)
V = 10.8(36/9)
= 43.2m/s
the speed of the water at point Y = 43.2m/s
To know more about speed from the link
https://brainly.com/question/26046491
#SPJ13
A continental polar air mass forms in
a. the Pacific Ocean.
b. northern Canada.
c.
the Gulf of Mexico.
the desert Southwest.
d.
Please select the best answer from the choices provided
А
B
ОООО
С
SnnsbblHShhssbx bdBBB B BBDDBDBX Z .
my uq xbbbnxnjjxjxusjhhhwhhhnn he c x. Yes suhsjjdhhehy yes eirui
M I was going ask m
Iqijjm.ndjbh
Answers
Answer:
B. Northern Canada
Explanation:
A continental polar air mass can form over the land during the winter months. In the Northern Hemisphere, it originates in northern Canada or Alaska. As it moves southward, it brings dry weather conditions to the United States. Temperature and humidity levels are both low. Hope this helps :)
(PLEASE HELP ITS DUE SOON ILL MARK BRAINLIEST AND 5 STARS & PLEASE SHOW WORK!!)
(And the answer is not 44 I already tried that and it doesn’t start with 4 either)
Answers
Energy has the same MKS Unit as _________. *1 pointA:AccelerationB:WorkC:PowerD:Speed
Answers
Unit of acceleration is m/s^2
Unit of work is joule
Unit of power is watt
Unit of speed is m/s
Unit of energy is joule
So the correct option is work.
2 A rectangular storage tank 4 m long by 3 m wide is filled with paraffin to a depth
of 2 m. Calculate:
a the volume of paraffin
c the weight of paraffin
b the mass of paraffin
d the pressure at the bottom of the tank due
to the paraffin
1m
Answers
For a rectangular storage tank filled with paraffin to a depth of 2 m, the volume, weight, mass of paraffin, and pressure at the bottom of the tank are:
a. The volume is 24 m³.
b. weight is 240,000 N,
c. mass is 24,490 kg, and
d. pressure is 23,530 Pa.
a) The volume of paraffin in the rectangular storage tank can be calculated using the formula:
Volume = Length x Width x Depth
Given:
Length = 4 m
Width = 3 m
Depth = 2 m
Substituting the values into the formula, we have:
Volume = 4 m x 3 m x 2 m
Volume = 24 m³
Therefore, the volume of paraffin in the tank is 24 cubic meters.
b) The weight of the paraffin can be calculated using the formula:
Weight = Volume x Density x Acceleration due to gravity
The density of paraffin varies, but we can assume a typical value of 10,000 kg/m³. The acceleration due to gravity is approximately 9.8 m/s². Substituting these values into the formula:
Weight = 24 m³ x 10,000 kg/m³ x 9.8 m/s²
Weight = 240,000 N
Therefore, the weight of the paraffin in the tank is 240,000 Newtons.
c) The mass of the paraffin can be calculated using the formula:
Mass = Density x Volume
Substituting the given values:
Mass = 10,000 kg/m³ x 24 m³
Mass = 24,490 kg
Therefore, the mass of the paraffin in the tank is 24,490 kilograms.
d) The pressure at the bottom of the tank due to the paraffin can be calculated using the formula:
Pressure = Weight / Area
The area of the bottom of the tank is equal to the length multiplied by the width. Substituting the values:
Area = 4 m x 3 m
Area = 12 m²
Pressure = 240,000 N / 12 m²
Pressure = 20,000 Pa
Therefore, the pressure at the bottom of the tank due to the paraffin is 20,000 Pascals (Pa).
For more such information on; volume
https://brainly.com/question/14197390
#SPJ8
PLEASE HELP FOR PHYSICS!
All objects exert a gravitational force on all other objects. This force is given by, F = GMm r2 , where the value of G = 6.673 × 10–11 N–m2/kg2 , M is the mass of the heavier object, m is the mass of the lighter object, and r is the distance between the two objects.
What is the force of gravity between two balls of mass 50 kg each if the distance between them is 25 m. Assume that there is no interference from any other gravitational field.
Answers
Hi there!
Recall Newton's Law of Universal Gravitation:
\(\large\boxed{F_g = G\frac{m_1m_2}{r^2}}\)
Where:
Fg = Force of gravity (N)
G = Gravitational Constant
m1, m2 = masses of objects (kg)
r = distance between objects (m)
Plug in the given values stated in the problem:
\(F_g = (6.673*10^{-11})\frac{50 * 50}{25^2} = \boxed{2.669 * 10^{-10} N}\)
A car traveling at 4.4 m/s accelerates at the rate of +0.63 m/s2 for an interval of 5.4 s. Find vf.
Answers
Given data
*The given speed of the car is u = 4.4 m/s
*The given acceleration of the car is
\(a=+0.63m/s^2\)*The given time is t = 5.4 s
The formula for the final speed of the car is given as
\(v_f=u+at\)Substitute the known values in the above expression as
\(\begin{gathered} v_f=(4.4)+(0.63)(5.4) \\ =7.80\text{ m/s} \end{gathered}\)Hence, the final speed of the car is 7.80 m/s
What is discordant characteristic ?
Answers
\( \: \: \: \: \)
being at variance; disagreeingor incongruous: discordant opinions. disagreeable to the ear; dissonant; harsh.hope it helps\( \: \: \: \: \: \)
dissimilar with respect to one or more particular characters
Select the correct answer.
A boat moves 60 kilometers east from point A to point B. There, it reverses direction and travels another 45 kilometers toward point A. What are the total
distance and total displacement of the boat?
O A.
OB.
O C.
O D.
The total distance is 105 kilometers and the total displacement is 45 kilometers east.
The total distance is 60 kilometers and the total displacement is 60 kilometers east.
The total distance is 105 kilometers and the total displacement is 15 kilometers east.
The total distance is 60 kilometers and the total displacement is 45 kilometers east.
Answers
The total distance is 105 kilometers and the total displacement is 15 kilometers east. Option C
How to solve for the total distanceTo calculate the total distance, we add the distances traveled in each leg of the journey: 60 kilometers (from A to B) + 45 kilometers (from B back to A) = 105 kilometers.
However, displacement refers to the change in position of an object in a straight line from its starting point to its ending point. In this case, since the boat starts and ends at the same point (A), the total displacement is zero.
Hence The total distance is 105 kilometers and the total displacement is 15 kilometers east.
Read mroe on total distance here https://brainly.com/question/29409777
#SPJ1
Please can you help?? A skydiver is falling at terminal velocity when she opens her parachute. After a while she reaches a new terminal velocity. How does her new terminal velocity compare to her original terminal velocity?
Answers
if we ignore air resistance the mass of an object does not affect the rate at which it accelerate why?
Answers
Answer:
See explanation
Explanation:
The acceleration due to gravity on an object is independent of the mass of the object. This is so because, the acceleration due to gravity depends only on the radius of the earth and the mass of the earth.
As a result of this, all objects are accelerated to the same extent and should reach the ground at the same time when released from a height as long as other forces other than gravity are not at work.
A first class lever of length 1 m has been used to lift a load of 600 N by applying an effort of 200 N. If a load is at 20 cm from the fulcrum, Calculate MA, VR, and efficiency.
Answers
In a first-class lever, the mechanical advantage (MA) is determined by the ratio of the load distance (LD) to the effort distance (ED).In this case, the load is 20 cm from the fulcrum, which is 0.2 m, VR is 120 N and efficiency is 60%.
The effort is applied 1 m away from the fulcrum. Therefore, the MA can be calculated as:
MA = LD / ED = 0.2 m / 1 m = 0.2
The virtual resistance (VR) is the weight equivalent of the effort needed to balance the lever.It is calculated by multiplying the load by the mechanical advantage:
VR = Load × MA = 600 N × 0.2 = 120 N
The efficiency of the lever is given by the ratio of the output work to the input work, expressed as a percentage.The output work is the product of the load and the load distance, while the input work is the product of the effort and the effort distance:
Efficiency = (Load × LD) / (Effort × ED) × 100% = (600 N × 0.2 m) / (200 N × 1 m) × 100% = 60%
For more such questions on mechanical advantage
https://brainly.com/question/2650218
#SPJ11
describe how the wavelength of a wave changes if the wave slows down but its frequency does not change
Answers
If the wave slows down with no change in frequency, the wavelength decreases.
What is a wave?A wave is defined as the disturbance that has the ability to transfer energy from one point to another in a medium.
The properties of a wave include the following:
Wavelength: This is defined as the distance that is observed between adjacent points in an identical cycle of a waveform.Frequency: This is the number of cycles of a wave that can occur per minute time.Time period: This is the time it takes for a complete cycle of wave to occur.Speed: Wave speed is the distance a wave travels in a given amount of time.Amplitude: This is defined as the distance from the centre line (or the still position) to the top of a crest or to the bottom of a trough.When there is a change in the speed of the wave with no change in frequency, the length of the wave would decrease.
Learn more about wavelength here:
https://brainly.com/question/24452579
#SPJ1
Given that r1=3i +2j+k, r2=2i-4j-3k, r3=-1+2j+2k. Find the magnitude of
a. R=r1+ r2 r3
B. A=2r1-3r2-5r3
Answers
Answer:
A. To find the magnitude of R, we first need to find the vector R by adding the vectors r1, r2, and r3.
R = r1 + r2 + r3 = (3i + 2j + k) + (2i - 4j - 3k) + (-1i + 2j + 2k) = (4i - 2j + 2k)
The magnitude of R is given by the formula ∣R∣ = √(R⋅R), where R⋅R is the dot product of R with itself.
∣R∣ = √(R⋅R) = √(4i^2 + (-2j)^2 + (2k)^2) = √(16 + 4 + 4) = √(24) = 2√(6)
B. To find the magnitude of A, we first need to find the vector A by applying the scalar multiplication 2 to r1 and subtracting scalar multiplications of r2 and r3.
A = 2r1 - 3r2 - 5r3 = (6i + 4j + 2k) - (6i - 12j + 15k) - (-5i + 10j + 10k)
A = (6i + 4j + 2k) - (6i - 12j + 15k) - (-5i + 10j + 10k) = (11i + 2j - 13k)
The magnitude of A is given by the formula ∣A∣ = √(A⋅A), where A⋅A is the dot product of A with itself.
∣A∣ = √(A⋅A) = √(11i^2 + 2j^2 + (-13k)^2) = √(121 + 4 + 169) = √(294) = 2√(73)
How much current is in a circuit with a 1.5 V battery and three
2-ohm resistances (bulbs) in series?
Answers
Answer: 0.25A
Explanation: To calculate the current in the circuit, we can use Ohm's Law, which states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the resistance (R):
I = V / R
In this case, the total resistance of the circuit is the sum of the individual resistances of the three bulbs in series, which gives us:
R = 2 + 2 + 2 = 6 ohms
The voltage of the battery is given as 1.5V.
So, using Ohm's Law, we can calculate the current in the circuit as:
I = V / R = 1.5 / 6 = 0.25 amps
Therefore, the current in the circuit is 0.25 amps.
The current in the circuit is 0.25 A.
Voltage across the circuit, v = 1.5 V
Resistance in each resistors, R = 2Ω
Since, the resistors are connected in series combination, their effective resistance,
R' = 3R
R' = 3 x 2
R' = 6Ω
According to Ohm's law, if the temperature and all other physical factors remain constant, the voltage across a conductor is directly proportional to the current that is flowing through it.
So, according to Ohm's law,
V = IR
Therefore, current flowing through the given circuit,
I = V/R
I = 1.5/6
I = 0.25 A
To learn more about Ohm's law, click:
https://brainly.com/question/1247379
#SPJ1