In music, relative keys are the major and minor scales that have the same key signatures (enharmonically equivalent), meaning that they share all the same notes but are arranged in a different order of whole steps and half steps. A pair of major and minor scales sharing the same key signature are said to be in a relative relationship. The relative minor of a particular major key, or the relative major of a minor key, is the key which has the same key signature but a different tonic. (This is as opposed to parallel minor or major, which shares the same tonic.)
For example, G major and E minor both have a single sharp in their key signature at F♯; therefore, E minor is the relative minor of G major, and conversely G major is the relative major of E minor. The tonic of the relative minor is the sixth scale degree of the major scale, while the tonic of the relative major is the third degree of the minor scale. The minor key starts three semitones below its relative major; for example, A minor is three semitones below its relative, C major.
The relative relationship may be visualized through the circle of fifths.
Relative keys are a type of closely related keys, the keys between which most modulations occur, because they differ by no more than one accidental. Relative keys are the most closely related, as they share exactly the same notes.
Homework Statement
f(x,y)=2x^3+xy^2+5x^2+y^2
Homework EquationsThe Attempt at a Solution
fx(x,y)=6x^2+y^2+25x
fy(x,y)=2xy+2y
fxx(x,y)=12x+25
fyy(x,y)=2y+2
fxy(x,y)=2y
I found the partial derivatives from the equation. I am stuck at finding the critical points from the first two fx(x,y) and...
If two clocks start from the same point, and one travels double the speed of another, will they be showing the same time when they get together at the destination point.
Obviously, faster clock will arrive first, and will have to wait for the slower one to arrive.
Is there any way to synchronize two clocks already in relative inertial motion? If so, how? And I am not sure exactly what “synchronize” would mean in that context. Maybe it would mean that their readings, or at least their running rates, would match when their relative motion was stopped? There...
Homework Statement
Homework Equations
The Attempt at a Solution
does Vpa has the same direction as Vp? i thought Vp is tangent to the circular path that point P creates( perpendicular to vector Rpa) but from the figure, Vp doesn't seem to be tangent to the path, but Vpa does...
Homework Statement
A 0.14-km wide river flows with a uniform speed of 4.0 m/s toward the east. It takes 20 s for a boat to cross the river to a point directly north of its departure point on the south bank. What is the speed of the boat relative to the water?
I'm mostly concerned about the...
Homework Statement
Rigid body (ship) rotate and moves around 3 axis (x,y,z) around the center of gravity. The position is of the center of gravity is not known.
What is known: At a point (A) the accereleration, velocity and position and rotational acceleration, velocity and position are known...
Is there any physics approach useful to establish what should happen to a Newton's water bucketful rotating in a hypothetically empty universe (but for the bucket)? What the bucket would be rotating respect to in that one-bucket-universe? Everything rotating seems to have absolute (not relative)...
Hello
Homework Statement
Lets say i have the given parameters:
air volume flow : V = 36 m3/h
Relative humidity: RH=33%
air mixing ratio : X = 5.5 (1g H2O) / 1kg (DRY AIR) (calculated from RH)
air temperature : T= 20 C
So i know how much mass of water is the air compared to the air's "dry air"...
Homework Statement
A bicycle rider is riding at a constant speed of v(b) and at t=0 is 17m behind the car. The cyclist reaches the car when the car just comes to rest.
The car is moving with an acceleration:for 0<t<t(1)
a(c)=0
for t(1)<t<t(2)
a(c)= -c(t-t(1))
where its initial component...
Homework Statement
I've linked my data table down below. My problem is the relative intensity column. From the table, the units of relative intensity are w/m/s. I'm assuming this is power/velocity, where velocity is the speed of light. However, nowhere in the lab manual did it mention the...
I know that absolute zero is impossible to achieve but we can get close. According to google the coldest temperature ever reached in a lab was 0.006K. Do you think this is because while the atoms are moving very slow relative to the observer they are still moving at the velocity of Earth's...
Consider an electric charge Q with rest frame R and a closed conductive loop L with rest frame R'. Q is moving relative to L, and vice versa. In R, the loop is moving and receives no magnetic flux from Q thus no voltage according the integral form of Faraday's law. In R', the loop receives...
Hi all,
I have a rather trivial issue I am trying to solve, but it seems like there isn't anything available online that I can find to help me.
For this question, imagine I have a 2D annulus with a fixed inner ring and frictionless outer ring. I apply a moment to the outer ring and create...
an aircraft flies horizontally at a speed 200 km hr^-1 relative to the air. its position at 15:00 is p. a wind with speed 100 km hr^-1 blows from the east from 15:00 to 16:30 . the wind then changes to a speed of 50 km hr^-1 from the south. the aircraft adjusts its heading so it maintains a...
Homework Statement
Homework EquationsThe Attempt at a Solution
The water skier makes an angle of 20 deg with the axis of the boat. I do not understand how to get the other angles.
I am working on a synthesizer to model sounds like plucked strings (guitars) and struck membranes (drums). With such instruments, the harder you strike them, the longer the sound takes to decay to an inaudible level.
What equation would allow one to predict the proportionate time decay of such...
Homework Statement
There are two cars traveling in a same direction. The Second car has a camera mounted on it and has ability to give relative X and Y (in meters) distance of first car with respect to it. Given the Speed of Second car , Calculate the Speed and Acceleration of first car. The...
Homework Statement
Two observers having identical instruments carry out identical experiments to study the motion of a massive particle. First observer concludes that the particle is moving in a straight line with constant velocity while the second observer concludes that the particle is moving...
Homework Statement
The best relative gravimeters have a relative uncertainty of 10-12, that corresponds to a height difference of 3 µm.
Homework Equations
g∝(1/r2)
The local gravitational acceleration g outside the Earth is proportional to 1/r2, which means (Δg)/g = -2 (Δr)/r. With (Δg)/g =...
Hi,
I'm reading a book explaining relativity. I previously understood the subject in layman's terms but am now confused.
The author has introduced relative motion in an invariant universe with the concept that motion through space is only relative to the observer.
Given this, I'm now...
Homework Statement
Homework EquationsThe Attempt at a Solution
I am a little confused by the wording of the textbook solution.
from the solution, the displacement at the end C of the rod = the displacement of C relative to the fixed end A,
why not the displacement of C relative to the fixed...
So... I've been thinking in time manipulation "super powers" for at least three years. First i just thought "well, you have to drain time from things, don't you?" then i learned basic physics and i thought "well... that was kind of unrealistic, one actually should accelerate to a % of the speed...
I am studying for the MCAT and I got an interesting question from a Kaplan book:
15. A water tower operator is interested in increasing the pressure of a column of water that is applied to a piston. She hopes that increasing the pressure will increase the force being applied to the piston. The...
Homework Statement
How can I calculate the relative error of a laser beam waist and angle of divergence using this experimental data:
I have measured the increase in laser beam diameter as the distance from the laser increases. With this data I plotted a graph of distance from the laser beam2...
Homework Statement
In a colliding beam apparatus, two beams of protons are aimed at each other. The first proton moves with a speed of 0.82c to the right; the second moves with a speed of 0.86c to the left. Both speeds are measured relative to the laboratory frame of reference. What is the...
How is it that once the dew point is reached, moisture continues to condense. What is causing the imbalance of partial water vapor pressure?
Does the rise in atmospheric temperature simply pass up the evaporation rate too quickly?
There is a conceptual puzzle that I don't understand about nonmeasurable sets. Take the unit interval [0, 1] and let S be some subset. Now, generate (using a flat distribution) a sequence of reals in the interval:
r_1, r_2, r_3, ...
Then we can define the relative frequency up to n as follows...
Consider the scattering process ##W^{+}W^{-} \to W^{+}W^{-}##. This process is mediated in the Standard Model by
1. a four-##W## scattering,
2. ##Z##-boson exchange,
3. Higgs exchange...
I was thinking through a thought experiment which led me to conclude that mass is relative. My thought process was basically this; there are two objects moving past each other. In the reference frame of either object, they are at rest and the other object is moving. Since the other object is...
Where can I found values of the relative permittivity of air at different temperatures, frequencies, pressure, humidity, etc. or its dependence?
I'm particularly interested in data around 1.4 GHz, 25ºC, 1 atm. 50% hum.
Thanks in advance.
since i am new at learning special relativity, i still miss the concept about how thing move in special relativity. In high school, i am doing several problem about velocity addition, and that word always appear. for example:
A is moving with velocity vAO relative to O, and B is moving with...
I'm interested in deriving the relativistic relative velocity of two particles moving near the speed of light. It turns out to be (with ##c = 1##) $$\frac{V^{(1)} - V^{(2)}}{1 - V^{(1)}V^{(2)}}$$
How should I approach to this problem? Maybe I should not think of particles at all, but instead...
In basic terms, what is the main difference between relative extrema and absolute extrema? I know that absolute extrema is more involved but why is this the case?
here "c" is the speed of light ,
i have a question in my mind and i have no answer for it ,
if two light beams are moving in opposite directions then their relative speed is simply c using the law of velocities addition in case of special relativity
but what if those two light beams are moving...
Hello.
Out of nowhere i started wondering about relativity, I got some question that made me curios.
If we have 2 cars on the road, car A moving at speed 110, car B moving at speed 120 , if car B touched ( hit or tagged ) car A.
Will it be the same impact or the damage done if car A was at...
Homework Statement
A small airplane wants to fly from A to B which is 200 km due south. The wind is blowing towards the east at a velocity of 50 km/h. If the airplane can move through the air at 300 km/h, find the direction the plane should be heading; the speed of the airplane relative to the...
Ok, so I have another question that online searches have not been able to produce. Everything I've seen online references sound waves, or RF signals, or electromagnetic waves. I know that the reason we can view sunsets and sunrises safely is because of atmospheric attenuation - the amount of...
Homework Statement
A simplified E versus k curve for an electron in the conduction band is given. the value of a is 10 Å. Determine the relative effective mass m* / m0.
Homework Equations
[/B]
m* = ħ2 / (d2E /dk2)
m0 = 9.11 E-31kg
3. The Attempt at a Solution
The second derivative must...
Homework Statement
A swimmer who achieves a speed of of 0.75 m/s in still water swims directly across a river 72m wide. The swimmer lands on the far shore at a position 54m downstream from the starting point. Determine the direction the swimmer would have the aim to land directly across from...
Hello,
could someone please check my answer for this problem. All of my work and equations are clearly presented in the picture attached below. (If my answer is wrong, please give me pointers on how I could obtain the correct solution).
Thanks!
Problem 5:
On their way to play soccer in...
Hello, could someone please check my answer for this problem. All of my work and equations are clearly presented in the picture attached below. (If my answer is wrong, please give me pointers on how I could obtain the correct solution).
Thanks !
Problem 3:
You paddle your canoe at a...
What I Think I Understand: ΔV = Ed (d being dstance) and that V = kq/r
please correct me if I'm misunderstanding those.
What I need to know: When E = 0, what happens to the electric potential? and vice versa.
Me Working it out: So if i use the first equation up here, If E = 0, then electric...
Based on my current understanding of the problem I do not see this following derivation as valid, although this is what was given in my course notes. Although this particular example is from an undergraduate physics course this is not a homework problem: I'm confused about the underlying...
Homework Statement
If the relative velocity of object B to object A is 10 m/s, and the relative velocity of object C to object B is 10 m/s, what is the relative velocity of object C to object A?
Homework Equations
These should be vectors just to give a heads up
vbs= vbw+vws
vba=vab
These...
If a bullet were to strike the Earth at a velocity close enough to c that its relativistic mass approached that of the Earth, would the damage be equivalent to that of an object of similar invariant mass colliding at a non-relativistic velocity? (The reason I ask is that in Liu Cixin's sci-fi...