Check my work Definition and 202 Threads

This is my work.

Can anyone please confirm and check my work with answer because I'm not 100% sure if my work with answer is 100% correct. The question is asking if the given vector is an eigenvector and I've answered no. What's the correct answer for this problem? It's Yes or No?

The kinetic energy of a ##m_s##= 1.5 kg satellite in an orbit of ##h## = 200 km = 200##\times 10^3## m is \begin{eqnarray*} K.E. &=& G \frac{m_s . m_e}{2(R_e+h)}\\ &=& (6.67 \times 10^{-11} \ \mathrm{N.m^2.kg^{-2}}) \times \frac{(1.5\ \mathrm{kg})\times (5.972\times 10^{24}\...

I typed this up in Overleaf using MathJax. I'm self-studying so I just want to make sure I'm understanding each concept. For clarification, the notation f^{-1}(x) is referring to the inverse image of the function. I think everything else is pretty straight-forward from how I've written it. Thank...

Homework Statement My answer seems really off and wondering if someone could just look at it before I submit answer? Two 65 kg astronauts leave Earth in a spacecraft , sitting 2.4 m apart How far are they from the center of the Earth when the gravitational force between them is as strong as...

A race car starts from rest and goes a quarter mile (1/4 mi) in 12.1 seconds. Assume the acceleration of the car is constant. (a.) What is the acceleration of the car? (b.) What is the final speed of the car? (c.) If you hit the brakes, how far would it take to stop the car if the breaks cause...

Homework Statement Four equivalent charges are placed at (0,0), (a,0), (0,a), and (a,a). What is the electric field at point B (a, a/2)? Homework EquationsThe Attempt at a Solution My attempt: Charges at (a,a) and (a,0) cancel each other out. E_{(0,a)}= \frac{Q(\hat{x}a...

Homework Statement 1. Do research to find out what artificial gravity is and how it is related to centripetal motion. Explain how artificial gravity could be created in a weightless environment and give a reason why we would want to do this.Homework Equations None. The Attempt at a Solution...

Homework Statement I don't have an answer key to these questions and it's my first time dealing with problems like this. so was wondering if my process is correct! Homework Equations q = m*deltaT*C q = mols*Hvap The Attempt at a Solution So, my reasoning behind this work is that there was heat...

I'm kinda just hoping someone can look over my work and tell me if I'm solving the problem correctly. Since my final answer is very messy, I don't trust it. 1. Homework Statement We're asked to find the Fourier series for the following function: $$ f(\theta)=e^{−\alpha \lvert \theta \rvert}}...

Homework Statement Vtn = 0.4V NMOS1 Drain = 2.5V Gate = 1.9V Source = 0V NMOS2 Drain = 0.5V Gate = 2.2V Source = -2.3V NMOS3 Drain = 0.5V Gate = 0.9V Source = -2.5V Homework EquationsThe Attempt at a Solution NMOS1 Vgs = Vg - Vs = 1.9V Vgd = Vg - Vd = -0.6V Vgd < Vtn and Vgs > Vtn...

Homework Statement The figure shows two wires that are tied to a 970g mass which revolves in a horizontal circle at a constant 7.5 m/s. What is the tension in the upper wire? The wires are both 1m long, and are attached to a pole. The radius is cos(30 degrees). It's an equilateral triangle...

Homework Statement A student ties a 500 g rock to a 1.0-m-long string and swings it around her head in a horizontal circle. At what angular velocity in rpm does the string tilt down at a 16 degree angle? Homework Equations F = (m*v^2)/r v = r*w The Attempt at a Solution [/B] First I solved...

Homework Statement The space shuttle is in a 300 km-high circular orbit. It needs to reach a 520 km - high circular orbit to catch the Hubble Space Telescope for repairs. The shuttle's mass is 6.5 E4 kg. Mass of the Earth = 5.98 E24 kg. Radius of Earth = 6.37 E6 m. How much energy is required...

Homework Statement Homework EquationsThe Attempt at a Solution 1 ##3u(t)-3u(t-2)## ##\frac{3}{s}-\frac{e^{-2s}3}{s}## 2 ##\frac{5t}{2}u(t)-\frac{5t}{2}u(t-2)## ##\frac{5}{2s^2}-\frac{5e^{-2s}}{2s^2}## 3 I have no idea how to do this one.

Homework Statement Find the differential equation for VC Circuit #1 Circuit #2 Homework Equations KCL The Attempt at a Solution Circuit #1: Node VC: ##\frac{V_C-V_{in}}{R_1}+\frac{1}{L_1}\int_{0}^{t}(V_C-V_2)+C_1\dot{V_C}=0## Node V2: ##\frac{1}{L_1}\int_{0}^{t}(V_2-V_C)+\frac{V_2}{R_2}=0##...

Homework Statement https://www.physicsforums.com/attachments/upload_2016-11-25_8-51-19-png.109406/ Find the differential equation for Vo Vin is a square wave Homework Equations KCL/KVL The Attempt at a Solution At Node V1: ##\frac{V_1-V_in}{R_1} + \frac{1}{L_1}\int_{0}^{t}(V_1-V_2) = 0##...

Homework Statement Find the forced response of VC(t) Homework EquationsThe Attempt at a Solution W=1000 \frac{d^2V_C(t)}{dt^2}+\frac{R}{L}\frac{dV_C(t)}{dt}+\frac{V_C}{LC}=\frac{Vin}{LC} V_C(t)=Acos(1000t+\theta) Plug in Vc(t),R,L,C into equation 1...

Homework Statement A ball is hit at a height of 1.00 m above ground such that it barely clears a wall that is 21.0 m high. This wall is located 130 m away from the location that the ball was hit (home plate). The ball was hit an angle that is 30° with respect to the horizontal. Find the...

9121. Problem If we assume that the initial voltage, Vs, is equal to zero, and it rises to five volts at t = 0, derive an expression for the voltage across the capacitor as a function of time. That is, calculate Vc(t) 2. Homework Equations this is a series RLC so I'm trying to calculate...

Homework Statement Find Vc(0) Homework Equations Nodal analysis The Attempt at a Solution

Homework Statement I got the problem down to: \frac{2}{\pi} \left[ \int_{0}^{\pi/2} \frac{2}{\pi}xsin(nx) dx + \int_{\frac{\pi}{2}}^{\pi} (\frac{-2}{\pi}x+2)sin(nx) dx \right] \frac{4}{\pi^2} \left[ \int_{0}^{\pi/2} xsin(nx) dx + \int_{pi/2}^{\pi} -xsin(nx) dx + \int_{pi/2}^{\pi} \pi...

Homework Statement L is a perfect inductor with inductance L. The switch is turned on at t=0 and the currents i1 and i2 run trhough the circuit as indicated by the figure. Homework Equations Given this circuit I need to find i1 and i2 for t=0 and t => infinity. The Attempt at a Solution For...

Homework Statement A proton (mass m = 1.67e-27 kg) is being accelerated along a straight line at 2.4e15 m/s2 in a machine. The proton has an initial speed of 2.4e7 m/s and travels 3.1 cm. (a) What is its speed? (b) What is the increase in its kinetic energy? Homework Equations V^2 =...

Homework Statement Question: Solve this differential equation dy/dt=1+y2 and y(π/4)=-1 Homework Equations The Attempt at a Solution dy/dt=1+y2 and y(π/4)=-1 dy/dt=1+y2 dy=(1+y2)dt dy/(1+y2)=dt ∫dy(1+y2)=∫dt tan-1(y)=t+c y(t)=tan(t)+c y(π/4)=tan(π/4)+c -1=1+c -2=c answer: y(t)=tan(t)-2

Homework Statement Homework Equations The Attempt at a Solution Since P=2L, L=1 ? a_o = 1/2 [ ∫(from -1 to 0) -dx + ∫(from 0 to 1) dx ] = 1/2 [ (0-1) + (1-0) ] = 1/2(0) = 0 a_n = - ∫ (from -1 to 0) cosnπx dx + ∫ (from 0 to 1) cosnπx dx = 0 b_n = - ∫ (from -1 to 0) sinnπx dx...

A check my work question... Homework Statement Louis de Broglie tried to explain Bohr’s hydrogen atom electron orbits as being circles of just the right circumference such that an electron of the Bohr energy going around the circle will interfere constructively with itself. This seems to...

Homework Statement [/B] I am going through Apostol's Calculus volume 1 and am working through I 2.5 #3. I'm not very familiar with doing proofs so I just wanted to make sure that I got the right idea here. Here's the question: Let A = {1}, B = {1,2} Prove: 1. ## A \subset B ## 2. ## A...

"a +4nC charge is 6/0 cm along a horizontal line toward the right of a -3nC charged object. Determine the E field at a point 4.0 cm to the left of the negative charge." From what I understand, it goes Point ___ 4cm ____ (-3nC) _____ 6cm ____ (+4nC) Using that, I got the answer to be -14.75 nC...

Homework Statement [/B] Known weight: 0.2 kg Center of gravity: 0.501 m Other found data is in the drawing I made below Homework Equations [/B] T=Fl 3. The attempt at the lab

<<Mentor note: Thread merged with duplicate from other forum.>> Half an octagonal prism. A small weight is placed 2 cm from the centreline of the vessel. The rod on which the weight is on is placed at (L/2) i.e at the center of the length of the vessel. The height of center of gravity from the...

Homework Statement Find a second solution y2 for x^2*y"+xy'-y=0; y1=x that isn't a constant multiple of the solution y1. Homework Equations None. The Attempt at a Solution Here's my work: I divided by x^2, y"+(1/x)y'-(1/x^2)y=0 P(x)=1/x and Q(x)=-1/x^2 Let y(x)=v(x)*x y'(x)=v'(x)*x+v(x)...

Homework Statement Use polar coordinates to find the volume of the solid where T is the region that lies under the plane 3x+4y+z=12, above the xy-plane, and inside the cylinder x^2+y^2=2x. Homework Equations None. The Attempt at a Solution Here's my work: x^2+y^2=2x x^2-2x+y^2=0...

Homework Statement An object is placed 12.8 cm to the left of a diverging lens of focal length -6.35 cm. A converging lens of focal length 12.8 cm is placed a distance of d to the right of the diverging lens. Find the distance d that places the final image at infinity Homework Equations...

Homework Statement Use the Runge-Kutta method to find approximate values of the solution of the initial-value problem y'+(x^2)y=sin xy, y(1)=pi; h=0.2 at the points xi=x0+ih, where x0 is the point where the initial condition is imposed and I=1, 2. Homework Equations yn+1=yn+hf(xn+1/2h...

Okay, let me clarify this isn't for homework or anything. Purely something I thought of when I was driving home. I am not sure if there is already a solution to this problem, there probably is but I want to see how correct my solution is. The problem is the following. Suppose I am traveling...

Could someone credible please check my work on this one? Homework Statement This problem is "pulling a sled up a slope" All relevant data is in the picture. I wanted to find FP (The force one has to pull to start the sled moving up with slope). mass = 26.0kg μs = 0.096 slope of hill = 12...

Would anyone willing to check my work on this vector question? I have an assignment due in a few days and was just wondering if someone could look over one of the questions from this assignment and see if I've done it correctly, as I still don't feel entirely confident with this yet. So the...

I'd love it if someone could verify whether or not I did this problem correctly. A stained-glass window is a disc of radius 2 (graph r=2) with a rose inside (graph of r=2sin(2theta) ). The rose is red glass, and the rest is blue glass. Find the total area of the blue glass. So I set...

Homework Statement Please check my work for the following problem: Find the point(s) where the curve r = <t,t2,-3t> intersects the plane 2x-y+z=-2. 2. The attempt at a solution t + t2 -3t = -2 (t-2)(t+0) = -2 t=0 and t=-2 plugging those values in yields: r(0) =...

Homework Statement A new diagnostic test is developed in order to detect a particular disease. It is known that 1% of the population has this disease. The diagnostic test is said to be 95% reliable. In other words, if a person has this disease, the test will detect it 95% of the time. On...

i realize this is a linear algebra question, but the bra-ket notation is still a little confusing to me so i posted it in this section. |e>=(1+i,1,i) (n-tuple representation, where i's are the imaginaries) so the norm of this would then be the following...

Homework Statement Evaluate the iterated integrals (switch the order of integration if necessary) I just need someone to check my work. My professor gave us this practice test to help study for our final but it isn't much use if I don't know if I'm doing it correctly. I've been working...

Use a linear approximation to find a good approximation to \sqrt{100.4} x = 100.4 x1 = 100 y1 = 10 y - 10 = \frac{1}{20}(100.4 - 100) y = 10.20

find the equation of the tangent line.y = e^{3x + cos x} @ x = 0 y1 = e^{3(0) + cos(0)} = e^1 = e y1 = e y = e^{3x+cos x} y' = e^{3x + cos x} * (3 - sinx) m = 3e y - e = 3e(x - 0)

Find the equation of the tangent line to g(x) = arctan(x) + ln(x) @ x = 1 y - \frac{\pi}{4} = \frac{3}{2}(x - 1)

Find the interval of convergence for the power series \sum \frac{x^n}{\sqrt{n}} using the ratio test I get that the absolute value of x * the lim of square root of n over square root of n+1 = 0. so that being said i believe the interval of convergence is (-∞,∞) by the ratio test

Perform the following operations involving eight-bit 2's complement numbers and indicate whether arithmetic overflow occurs. 1) 01110101 + 11011110. So I have a +Positive + a -Negative number. So I just added normally, and got the result of 01010011. I realized before I started the problem I...

Homework Statement 1)What should F be so that m3accelerates upwards at 1 m/s2? Homework Equations F = ma The Attempt at a Solution So I start by drawing FBD's for everything: ^^also, there is supposed to be a force of friction to the right on M1, I factored that into my...