What is the equation for work?
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1/ 2mv2 |
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KE |
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U |
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Sinθ=H/L |
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ΔK E or Fd |
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mgh |
It's answer is,
∆KE or Fd
This is so because according to work energy theorem,
Change in kinetic energy is equal to work done.
Also, work done = force× displacement
Please ONLY work parts a, d, e
4.4. Consider the standard equilibrium heat equation with a source u (D 1, cp on x E [0, L]. Given the following parameter values and boundary condi tions, determine (1) the equilibrium solution and draw a graph, and (2) compute the flux and indicate on the solution graph the direction and magnitude of the flux. Alternatively specify if the solution does not exist, or detail how it is not fully determined 0 uxxR(x)...
6. Solve the heat equation (5.17) with initial condition u(x, 0) = H(x)e-x. Write the solution of the Cauchy problem for the heat equation u = kuyx - < x <®, t> 0, (5.17) with initial condition u(t,0) = {(H(x + 1) - H (1 - x)) in terms of the error function Erf () = * e ** dy.
(b) What is the general form of the solution to the Schroedinger Equation where a) E>U and b) E<U 2 marks] A particle is confined in a 1-D box of length L such that U=0 for 0〈x〈 and U is infinite elsewhere. Find an expression for the wavefunction inside the box which meets these boundary conditions, and show that it satisfies the Schroedinger equation. 2 marks] If the potential outside the box is Uo> O instead of infinite, describe with...
prove first equation by details
please
(82) = z1, li(3+1) – e(l + 1) +s(8+1)]ħ where s. j = s. (l+s) is computed using Equation 5.3. Thus for j = [+] (sz) = h/2, while for j=[ - ] we have (sz) = -ħj/2(3 + 1). The correspond- ing magnetic moments are j= l + } (u) = [gelj – 1) + £ 98] un j=l-} (de) = [ge *G+1 - 1 19un
1. An LTI system has the transfer function (or frequency response) H(u)- a) What is the magnitude of H()? b) What is the phase of H(u)? c) Determine the impulse response of this system. d) Find the differential equation between the input and output of this system. e) What is the output of the system to the input x()c
Determine the system response y(t) for h(t)=u(t)+u(t-2) and x(t)=u(t). [Hint: use Laplace Transform multiplication: L[x(t)h(t)) = x(s)H(s). Useful Formula: Fourier Transform: F[f(t)] = F(w) sof(t)e-jw dt Inverse Fourier Transform: F-1[F(w)] = f (t) = 24., F(w)ejwidw Time Transformation property of Fourier Transform: f(at – to). FC)e=itoch Laplace Transform: L[f(t)] = F(s) = $© f(t)e-st dt Shifting property: L[f(t – to)u(t – to)] = e-toSF(s) e [tuce) = 1 and c [u(e) = )
b-a e-ylu f(y)= e for y > 0 and L* (u ) c=constant U 1=1 i=1 Prove the likelihood for u can be expressed as: tulo: D-ring 9: 1-9 Then derive the log-likelihood for u.
thank you for the help :)
Question Question 17 (2 marks) Attempt 1 f(t) satisfies the integral equation: f(t)-5 | f(t-u) e-liu H(u) du=12 sgn(t-2) Find the solution of the integral equation using Fourier transforms. Your answer should be expressed as a function of t using the correct syntax f() Skipped
Question Question 17 (2 marks) Attempt 1 f(t) satisfies the integral equation: f(t)-5 | f(t-u) e-liu H(u) du=12 sgn(t-2) Find the solution of the integral equation using Fourier transforms....
1. Consider the insulated heat equation up = cum, 0 <r<L, t > 0 u (0,t) = u (L, t) = 0, t > 0 u(x,0) = f(2). What is the steady-state solution? 2. Solve the two-dimensional wave equation (with c=1/) on the unit square (i.e., [0, 1] x [0,1) with homogeneous Dirichlet boundary conditions and initial conditions: (2, y,0) = sin(x) sin(y) (,y,0) = sin(x). 3. Solve the following PDE: Uzr + Uyy = 0, 0<<1,0 <y < 2...
What is the difference between two problems?
Ex 14.9 has -mgh and F14-13 has +mgh...
14.6 CONSERVATION OF E XAMPLE 14.9 The gantry struch airplane during of & Me is cable AC is release the plane just befon the maximum tens motion? Neglect suructure in the photo is used to test the response of an ng a crash. As shown in Fig. 14-21a, the plane, having a is hoisted back until - 60, and then the pull-back eleased when the...