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
I am suppose to calculate the relative entropy between two sets of data:
Base set
Set 1:
A C G T
0 0 0 10
0 0 0 10
0 0 10 0
0 10 0 0
10 0 0 0
* * * * //Randomized
0 0 0 10
0 10 0...
I am confused about Relative Motion.Lets suppose we have one train and two observer.One of them inside the train and the other one is outside.Lets think the outside observer see the train moves a constant velocity v.The observer in the train will be think it is not moving cause of Galileo...
Do two inertial observers in relative motion agree on their relative velocity? Velocity is distance per unit time and they don’t agree on the distance or the elapsed time. If the apparent distance in the prime system is shorter and the elapsed time is longer, then it seems that the apparent...
How the relative angular momentum of two particles can be detect by detector in two particle decay (center of mass frame)? I am curious about the signatures/differentiation between different relative momenta, means how one can decide that it is L=0, L=1,2,3,...?
Of course the distribution would...
Homework Statement
Two rockets are orbiting a Schwarzschild black hole of mass M, in a circular path at some location R in the equatorial plane θ=π/2. The first (rocket A) is orbiting with an angular velocity Ω=dΦ/dt and the second (rocket B) with -Ω (they orbit in opposite directions).
Find...
Homework Statement
Say a human is moving through space with constant acceleration due to gravity. There are no external forces/torques on the body other than the force of gravity. The person applies an internal torque at some joint, let's say the knees, so that they bend. Assume the rest of the...
Homework Statement
Two solid pieces, one of steel and the other of aluminium when completely immersed in water have equal weights. When these solid pieces are weighed in air, aluminium seems to weigh more. Why is this so? On what factors in this being decided?[/B]Homework EquationsThe Attempt...
Homework Statement
A lift in which a man is standing is moving upwards with a speed 10 m/s. The man drops a coin from a height of
4.9 m and if g = 9.8 m/s2 - then after what time does the coin reach the floor.
Homework Equations
x = 0.5*g*t2
x = ut + 0.5*g*t2
The Attempt at...
Here is a thought experiment. Imagine Schrodinger's cat... in the traditional model, there is a single observer outside the box, and the observer creates an entanglement with the catbox device which reveals the quantum superposition of the enclosed cat. The cat is said to be in a superposition...
Homework Statement
Cars A and B are traveling on adjacent roads. Car A travels at a speed of 70 mi/h in the positive y direction, and its acceleration is zero. Car B travels along a circular path of radius 0.7 mi, and has a velocity of 50 mi/h at an angle of 30 degrees right of vertical. Car...
In the wikipedia page of Lorentz Transformation (http://en.wikipedia.org/wiki/Lorentz_transformation#Lorentz_transformation_for_frames_in_standard_configuration) it's said that
The problem I'm having here is that while taking Lorentz Transformation as true, I failed to verify the statement...
Homework Statement
A slotted link AC is is driven by the peg P connected to a rotating disk. Point A is fixed. Determine the link's angular velocity, \omega_{ac} and acceleration, \alpha_{ac} when the angular velocity and acceleration are \omega and \alpha , respectively.
\omega = 6...
Homework Statement
Aircraft A is flying NorthWest at 800km/h. Aircraft B is flying in a circular, anticlockwise holding pattern, radius of 5km, at 400km/h.Show that the acceleration of A relative to B is
A(A/B)= 2.469cosθBi+2.469sinθBj m/s2
Homework EquationsThe Attempt at a Solution
I know...
Okay, this is my first post, and I'll have you know that I'm just an amateur. So, I'm not going to get into any complicated mathematics. So basically, is time relative to position?
Hypothesis: Yes, it is.
Reason: Well, here's a dumbed down version. The Earth's rotation around the sun is what...
Homework Statement
A rocket is moving in a gravity free space with a constant acceleration of 2m/s2 along +x direction. The length of chamber inside the rocket is 4m. A ball is thrown from the left end of the chamber in +x direction with a speed of 0.3m/s relative to rocket. At the same time...
Homework Statement
A certain quasar recedes from the Earth with a speed of .87c. a jet of material is ejjected towards the Earth at .55c relative to the quasar. find speed of ejected material relative to the earth
Homework Equations
u = u'+v / 1 + u'v/c^2
The Attempt at a Solution
guessing...
When a book which is on table is pushed, it moves in the direction we push and the work done by us is positive and the energy gained by the body is also positive. But consider the frictional force. The work done by it is negative. So in one incident force is both positive and negative depending...
When a spaceship accelerates to 1.000 kmh, the effect of time dilation is tiny. But what happens if this spaceship accelerates in an inertial frame whose
total speed is much slower or whose time goes much faster, will the time dilation effect be the same?
If the spaceship travels in a inertial...
I have been asked about time dilation which I thought I understood, but maybe you can help me provide an answer?
If a spaceship is traveling at 0.866c then time will slow by a factor of 2 due to the speed the spaceship has.
Why?
If it is alone in space, light years away from any other body...
In relativity of simultaneity, two spatially separated events are time relative as to the order in which they might occur to the observer (time is relative). However, if the two events are causally connected, the order is preserved in all frames of reference...
Homework Statement
Consider the core of dimensions given in example 5-1. A coil requires an inductance of 23.6μH, a maximum current of 4A is allowed, and flux density is not to exceed 1.3T. Calculate the required relative permeability, μr, of the magnetic material that should be used.
(HINT...
Homework Statement
An ant with a velocity of 20mm/s [W] crawls on a stick that is being dragged [W25 N] at 50mm/s. what is the velocity of the ant relative to the ground?
Homework Equations
Let A = ant, Let S=stick, Let G=ground, Let N and W be positive. Vag=?, Vas=20mm/s [W], Vsg=50mm/s[W25N]...
Hi, everyone.
I'm new here so I'll introduce myself: I'm not a physicist, just a physics enthusiast. Although I have studied some physics at school and college, I've never been taught relativity, which I've kind of learned about on my own.
My question might seem stupid to you, and I apologise...
I'm using the the Doppler formula to calculate the relative velocity between the approaching and receding filaments of the crab nebula: Δλ/λnaught = v/c Change in wavelength/ wavelength = velocity/ speed of light
I have reworked the formula as v= c(Δλ/λnaught)
When I plug in the values I get...
When an object is flying to the Earth and it's increasing it's speed through gravity, does a remote observer see this increase of speed too, or will he see the object moving at a constant speed?
And another question:
Is there any time dilation by the remains of an object that hits a planet...
Homework Statement
Particles ##a## and ##b## move in opposite directions around a circle with angular speed ##ω##. At ##t = 0## they are both at the point ##\vec{r} = l \hat{\jmath}## where ##l## the radius of the circle.
Find the velocity of ##a## relative to ##b##
Homework Equations...
So, I recorded the result of a LabQuest 2 Vernier Magnetic Field Sensor on different points of a plane, with a solenoid in middle with a 5 amp current running through. I want to compare my results with theory, but have no idea what equation I'm supposed to be using.
I assumed it was B = μ0ηI/r3...
Hi Guys,
Don't know if I posted at the right place...
can anyone tell me how to calculate the relative permittivity/permeability of a 3D microwave metamaterial for Q-band (wavelength ranging from 6mm to 9mm)?
Homework Statement
If ≡(mod), ≡(mod),and gcd(,)=1,provethat ≡ (mod ). Homework Equations
If ≡(mod)→n|ab-cd
≡(mod)→n|b-d
gcd(,)=1→ relatively prime. So bx+ny=1
Need to show n|a-c→a-c=nw
The Attempt at a Solution
If n|ab-cd, then nk=ab-cd
If n|b-d, then nl=b-d
If n|ab-cd AND n|b-d, then...
I am looking for way how to do relative calibration of light sensor (PMT). I would appreciate any suggestions or links to sources with description how to do it in very simple (understand also cheap if possible) way.
For example. Let say that I have integration sphere with two outpust. I have...
Homework Statement
if gcd(a,b) = 1, show that gcd(ac,b) = gcd(c,b)
Homework Equations
gcd(x,y) = xm + yn for integers n and m
The Attempt at a Solution
ax + by = 1
gcd(ac,b) = d
gcd(c,b) = g
ac = dr
b = ds
c = gm
b = gn
I've been setting up equations and rearranging things but can't make...
Homework Statement
A fisherman wishes to cross a river to the shore directly south of his position. The river is 400 m across, and the fisherman's boat is capable of a speed of 2.5m/s. If the river's current has a velocity of 1.5m/s [W], determine
a) the time it takes the fisherman to cross...
Homework Statement
Let a and b be relatively prime. Show that gcd(a+b,ab) = 1
Homework Equations
ax+by = 1 for some integers x and y
The Attempt at a Solution
I set gcd(a+b,ab) = d. I'm now trying to show that d = 1 using elementary algebra techniques.
a+b = rd
ab = sd
ax + by = 1I'm kind...
Since relative velocity time dilation is due to an increase in velocity, with a person moving faster moves through time slower than those on earth, does it follow that it's possible to move slower than the Earth and therefore move through time faster than them? Because the Earth is moving...
Consider a rod AB rotating about one of it's end A with angular velocity w.
Now angular velocity of each point of the rod is same i.e. w.
But if we have to find the relative angular velocity of the end B w.r.t. mid point of rod, what it will be?
Will it be zero because, w-w=0
or first we...
2. (a) is the question I'm stuck with
Homework Equations
I know that 3m/s is the Velocity of the man relative to the water and the Velocity of the man is 8m/s and is represented by the vector pointing in the direction theta downstream but I just can't get my head around this question, probably...
I am studying the relative speed equations but I confused in one point.
We need (at least) how many observers to calculate relativistic speed equation.
Three or two.
Homework Statement
An 82-kg lumberjack stands at one end of a 380-kg floating log, as shown in the figure (Figure 1) . Both the log and the lumberjack are at rest initially.
If the lumberjack now trots toward the other end of the log with a speed of 2.7 m/s relative to the log, what is the...
I'm still very early on in my reading, so forgive me if this question isn't coherent. In the "historical introduction" section of the 1920 University of Calcutta translation of the original papers of Einstein and Minkowski available via the MIT online archive, mention is made of the fact that...
I'm having trouble understanding how the lorentz transformations are posed intially.
Why can different observers agree on their relative velocity? I don't understand why this velocity is exempt from all of the other relativistic phenomena that occur.
Also, in the initial derivation, I'm told...
Homework Statement
"To illustrate this principle, consider a plane flying amidst a tailwind. A tailwind is merely a wind that approaches the plane from behind, thus increasing its resulting velocity. If the plane is traveling at a velocity of 100 km/hr with respect to the air, and if the wind...
1. Problem Statement: What is the velocity of John relative the bus in each of the following situations:
A) John is sitting on the street and the bus is moving at 30m/s toward him
B)John is sitting in his car traveling North at 25m/s toward a stationary bus?
C)John is sitting in his car...
A police car is chasing a stolen car ahead of it. If the police car is traveling at 150 km/h (N) and the stolen car is traveling at 120 km/h (N), then determine:
a) velocity of police car relative to ground b) vel. to the pol. car relative to the stol. car c) vel of stol car relative to the pol...
While traveling on a train, two boys play catch in the aisle. The train is moving north at 30.0 m/s. The ball is tossed front to back at 5.0 m/s relative to the boys. A bystander on the highway observes the ball being tossed toward the back. To the bystander, what is the relative speed of the...
Mostly for self interest:
If I drop a 1lb weight from 15 ft (5m), what does it weigh when it hits the floor.
If I have a 10lb weight and it drops from the same 5m shelf, does it weigh 10 times as much as my 1 lb weight from the 1st question?
I may have the wrong terminology, but basically the...
How can we show one dimensional relative parallel velocities in space time diagram ?
(One dimensional means there's only pozitive and negaive values of speed)
Hello!
This is my first post, so I should make a small introduction. I am not a science expert in anyway shape or form, but I am a keen enthusiast who regularly keeps up to date with science news through popular websites such as IFLS, Space, BBC etc.
I have been wondering about this particular...
Homework Statement
An elevator is going up from the ground with acceleration aelevator/ground.
When the elevator's height measured from the ground is h, its velocity us velevator/ground (assume that t = 0 in this condition), a ball is thrown up with velocity vball/elevator relative to the...