A linear transformation is described by:
$$p=a-bV$$
From that we can find $a$ and $b$:
$$b=\frac{p_{2}-p_{1}}{V_{1}-V_{2}} = \frac{2}{9}\frac{p_{1}}{V_{1}}$$
$$a=p_{1}+bV_{1}=\frac{11}{9}p_{1}$$
I considered an adiabatic process that intersects the linear transformation to find the point up...
TL;DR Summary: I was solving this problem given in a book. The answer I got was wrong and seems to violate the conservation of mechanical energy. Yet the forces were balanced. Can someone provide an explanation.
So here is the problem:
In the above arrangement, I had to find the time period...
Hi, so my objective is to find Io, and I've attached a picture of my work. Here is my question: At the point Vo1, if I use the equation for finding the output voltage for a non-inverting op amp I end up getting this:
$$V_{0{1}}=\left( 1+\frac {r_{f}} {r_{1}} \right)V_{s1} = \left( 1+\frac...
TL;DR Summary: I attempt to find the derivative of uv with respect to x using non standard analysis, hyperreals, and the standard part function st; I take u to be a function of x, and I also take v to be a function of x.
Hello everyone!
I've been learning about non standard analysis concepts...
Parallel:
M1V1+M2v2=M1V1’+M2V2’
(0.5)(3)+0=(0.5)(cos60)(3)+V2’Cos(x)(0.5)
V2’cos(x)=
Perpendicular:
M1V1+M2v2=M1V1’+M2V2’
0=(0.5)(0.3)(sin60)+V2’sin(x)(0.5)
V2’sin(x)=
And the divide 2 by 1
Which is tan(x)=2/1
And then plug then back into solve, but I don’t think we do it like this because...
Summary:: I been stuck on this problem from past 4 months. I am completely done. I am getting no idea. Even my professor couldn't have helped me. Can anyone please help me? 😔
So my final equation is:
##\frac {1} {2700} + \frac {1} {3930n^2} + 10^{-5}##
I need to boil this down, the learning materials has the following working, but I can't seem to get it
$$\frac {1} {2700} + \frac {1} {3930n^2} + 10^{-5}$$
$$\frac {3930n^2+2700+2700*3930n^2*10^{-5}}...
Answer B would increase the n1/n2 ratio and increase the deflection. Making it correct.
But also, Answer A would increase the current through the primary coil, and hence the power. This would increase the power in the secondary coil hence I2, leading to lower voltage V2. Making it also correct...
For question A, I know that I am supposed to input the numbers given into the Universal Gravitation Equation, but I do not know how to solve for it beyond that.
For question B, I know that the astronauts weight depends on the mass and gravity of the new planet but I do not know how to prove it...
How would we calculate the Thevenin's resistance for the above circuit? The right answer for this circuit is 1.5 kOhm.
$$R_{567} = R_7 + (R_5 \parallel R_6) = .5 + .67 = 1.2 k\Omega$$
$$R_{34567} = R_3 + (R_4 \parallel R_{567}) = 1 + .75 = 1.75 k\Omega$$
$$R_{TH} = R_1 + (R_2 \parallel...
Hi All,
Anyone willing to help out in explaining what eigenfreuqncy for this oscilatory system, would be? Also if anybody knows the equation to calulate this stuff please, if you're willing to share I'd be greatful!
Thanks, regards.
So I'm mainly having trouble with part b as I have successfully completed part a. In part b I get an answer of 6.3 x 10 ^8 Amperes which my homework tool flags as incorrect. I'm clueless as to where to go from there or why my approach is wrong?
Homework Statement
https://cdn.discordapp.com/attachments/373928512811302912/528638926148337704/question.PNG
part a )50N
I cannot answer part b.
Homework Equations
M=FD
The Attempt at a Solution
Ok so if both pivots were in contact with the beam I would just equate them with the oppposite...
Homework Statement
A charged isolated metal sphere of diameter d has a potential V relative to V = 0 at infinity. Calculate the energy density in the electric field near the surface of the sphere. State your answer in terms of the given variables, using ε0 if necessary.Homework Equations
Since...
Homework Statement
In the diagram, m1 has a mass of 47 kg and m2 has a mass of 35 kg. The coefficients of friction between m1 and the surface of the inclined plane are µs = 0.42 and µk = 0.19.
(a) If the masses are held in place and then released, will they start to move?
(b) If the answer...
Homework Statement
Homework Equations
[/B]The Attempt at a Solution
I soled for the integral of the magnetic field but i don't know what bounds to intergrate over and also i what is DS in this case? its a point charge so shouldn't bio savart have q(v*b) instead of i(ds*r)?[/B]
A rod of mass M (=4m) and length L is placed over a smooth horizontal table. One end of rod is attached with a block of mass m through a light string as shown in the figure. The pulley is friction less and light. the acceleration of com of rod at the given instant is (g = acceleration due to...
Homework Statement
Cliff is 50 m tall
Stone thrown downwards with velocity of 12 m/s and 22 degrees below horizontal
What is the time it will take to hit the ground?
Homework Equations
V=d/t
D= Vi t + 1/2at^2The Attempt at a Solution
Vx1= cos (22)(12)
= +11.12620625
Vy1= sin (22) (12)
=...
2 frictionless tracks have equal length bumps with one going up and the other down. Halfway through the track which one has more energy?
Assuming that they started at the same height, I thought that they had the same amount of energy, but since Ball B ends up having a greater velocity at the...
This is an exercise from Hartman's lecture 6th. Using the Euclidean method to calculate the BTZ black hole mass entropy. The BTZ metric is given by
$$ ds^2=(r^2-8M)d\tau^2 +\frac{dr^2}{r^2-8M}+r^2d\phi^2$$
and ##\tau \sim \tau+\beta, \beta=\frac{\pi}{\sqrt{2M}}##.
Then we calculate the...
Homework Statement
For number 3,4,5
https://s4.postimg.org/qbp3xzq65/IMG_1092.png
https://s22.postimg.org/u220j60sx/IMG_1093.pngHomework Equations
Centripetal force = m v^2/R
T = centripetal force + w
Sigma F = m.a
The Attempt at a Solution
Number 3. Find the v at D point using...
Homework Statement
There's two blocks of mass m_{A} and m_{B} which are linked by an ideal string. The block of mass A descends at constant speed. There's no friction. If the pulley is ideal, which one of the following is true[/B]
Homework Equations
Newton laws and trigonometry I...
Homework Statement
In-phase light from a laser with an effective power of 2x105J and a wavelength of 1064nm is sent down perpendicular 4km arms of the LIGO detector.
(i) Determine the number of photons traveling in the interferometer arms.
(ii) Assuming the detector is sensitive enough to...
Homework Statement
Two plane gravitational waves with TT (transverse-traceless) amplitudes, ##A^{\mu\nu}## and ##B^{\mu\nu}##, are said to have orthogonal polarizations if ##(A^{\mu\nu})^*B_{\mu\nu}=0##, where ##(A^{\mu\nu})^*## is the complex conjugate of ##A^{\mu\nu}##. Show that a 45 degree...
I have known what Ornstein-Zernike equation is. I try to plug in the form as follow to the isotropic materials:
Still, I cannot show the pair correlation function as follow.
Can anyone know what I have missed?
The question is about to derive an approximate expression by regular solution theory, It is difficult for me to find relevant source on this question. However, the question to me is so vague that I do not know how to answer.
What I have tried is to search what the interaction parameter is...
Homework Statement
Please see attached picture
Homework Equations
principal of moments
The Attempt at a Solution
part a) is fine. For part b, I would Normally take moments about C. The force acting on BC at B must be the tension in AB. The geometry of the triangle gives and angle of 53.1 to...
Homework Statement
Homework Equations
Finding the Thevenin equivalent?
The Attempt at a Solution
I found the thevenin resistance to be 185/47 ohms, which came out to be correct.
I've been struggling with this question all day. I ended up attempting to find the norton equivalent and then...
Homework Statement
A particle of mass m, is in an infinite square well of width L, V(x)=0 for 0<x<L, and V(x)=∞, elsewhere.
At time t=0,Ψ(x,0) = C[((1+i)/2)*√(2/L)*sin(πx/L) + (1/√L)*sin(2πx/L) in, 0<x<L
a) Find C
b) Find Ψ(x,t)
c) Find <E> as a function of t.
d) Find the probability as a...
Homework Statement
(2) Suppose a particle of mass m is subjected to a repulsive force F = +kx.
(a) What is the general solution for the motion of the system?
(b) If the particle begins with a position x(0) = x0 and with velocity v(0) = v0 at t = 0 what are the values of the constants appearing...
In the (b),I have some questions:
(1) Does it mean ψ can be real or not real?
(2) Why do the solutions of linear combination must have the same energy? As I know, these solutions are often different, as long as they are eigenvalues of time-independent Schrodinger equation.
(3) In the sentence...
Homework Statement
While carrying contact lenses of D=-2.00 diopters, a nearsighted person takes a vision test and finds that his/her far point is 10.0m
a) what is the person's far point without contact lenses?
b) what lens power is required to correct the myopia fully?
Homework Equations
1/f...
Homework Statement
A ball of mass m falls from height hi to height hf near the surface of the Earth. When the ball passes hf, it has a speed of vf. Ignore air resistance. Consider the system T which consists of the ball only.
Write an expression for each of the following quantities in terms of...
Hey everyone,
I'm at my limits here trying to solve a question, I can't seem to figure out how the lecturer gets the solution to the following problem...
Can someone please direct me the correct methodology or better yet give me some guidance on what to do? Thank you.
The Questions and...
Homework Statement
Hey Guys, I don't really want to have to post this in of all places due to how advanced everyone else is compared to me, but I went to my second physics class and I have a huge problem. My teacher gave me my homework, but I have no idea on Earth how to do it because she...
Homework Statement
The cylinder x^2 + y^2 = 1 intersects the plane x + z = 1 in an ellipse. Find the point on the ellipse furthest from the origin.
Homework Equations
$f(x) = x^2 + y^2 + z^2$
$h(x) = x^2 + y^2 = 1$
$g(x) = x + z = 1$
The Attempt at a Solution
$\langle 2x, 2y, 2z \rangle...
Homework Statement
If two objects of unequal mass and unequal Kinetic energy hit each other, they lose some energy to other forms but keep enough to do Work on each other. A good example is a car and wind, a man and ball could also apply, a ball with KE could stop a running man if KE does work...
Homework Statement
Two long parallel horizontal rails, a distance d apart and each having a resistance λ per unit length, are joined at one end by a resistance R. A perfectly conducting rod MN of mass m is free to slide along the rails without friction (see the figure). There is a uniform...
I am currently doing aops introduction to algebra book and I can't figure out how to solve joint proportion or some ppl call it joint variation. I don't which values should i substitute for the formula, z=kxy. I don't which value should i substitute into z to the word problems. I can get through...
Homework Statement
Find the equivalent capacitance of the combination between A and B in the figure.
Homework Equations
For Equivalent Capacitance in series
##\frac{1}{C}##=##\frac{1}{C_1}##+##\frac{1}{C_2}##For Equivalent Capacitance in parallel
##C##=##C_1##+##C_2##...
The Attempt at a...
Homework Statement
The figure shows a cord attached to a 2 kg cart that starts from rest and can slide along a frictionless horizontal rail. The right end of the cord is pulled over a frictionless pulley at height h = 2.0 m above the point of attachment of the cord to the mass, so the cart...
<< Mentor Note -- Thread moved from the technical math forums, so no HH Template is shown >>
Hey guys, could use some insight here...
So this is a basic story problem:
"I paid $22.30 for 6 new golf balls and 10 used balls. If each new ball costs $.65 more than a used ball,how much did I pay...
Statement:
I need a suitable method and factor to investigate ONE factor that affects the angle of refraction. It has to be related to the context of everyday life and glasses, i.e. how glasses are used to focus light and the light focused is that of a refracted ray. Therefore factors such as...
Homework Statement
I am having problem with number 16ii)
Homework Equations
log([x+y]/sqrt5)
The Attempt at a Solution
Sorry still not used to latex
So I tried this
if x/y + y/x =3 then(
(x^2 + y^2)/xy = 3xy
x^2 + y^2 = 3xy
(x-y)^2 = xy
(x-y) = sqrt(xy)
(x-y)(x+y) = sqrt(xy)(x+y)
(x+y)...
Homework Statement
A person swim to certain depth in the ocean where the density of sea water is 1025 kg/m3. he does not have sophisticated equipment but he used an empty tube, the tube is L = 45.4 cm long and shaped like a cylinder. He wets the sides and then puts some sand in and shakes it...
Homework Statement
Homework Equations
Snell's Law
n1sin(theta_1)=n2sin(theta_2)
Total Internal Refraction:
sin(theta_c)=(n_2/n_1)
lambda_n=lambda_n
The Attempt at a Solution
So I drew the triangle and this is what I got, and well here is just a picture so far of what I have.
[/B]
I've...