Recent content by magnesium12

Should I be breaking up the motion to account for the shorter string length? So from top to vertical (total bottom) it would be ΔU =ΔT mg(0.8) = 0.5mv_1^2 Then do the same analysis from bottom to the height at 30deg: U1 = 0 U2 = mg(0.4-0.4cos30) T1 = 0.5mv_1^2 T2 = 0.5mv_2^2 ΔU =ΔT...

1. Determine the velocity of the ball when it is 30degrees from the horizontal: U1 = mgh = mg(0.8m) U2 = mgh = mg(0.4+0.4cos(30)) = mg(.74641) ΔU = U2 - U1 = mg(.74641 - .8) = mg(-0.051433) T1 =0 T2 = 0.5mv^2 ΔT = T2 - T1 = 0.5mv^2 ΔU = ΔT mg(-0.051433) = 0.5mv^2 ====> v = 1.025394 2. Use...

Thank you for your help! Okay, so I figured out the PE of a spring is kx2/2. So for the first case (ignoring the second mass completely), I've now got this: Potential energy of the block U1 = kx2/2 = 160(0.225)2/2 = 4.05 U2 = ks2 = 160(s)2/2 = 80s2 ΔU = U2 - U1 = 80s2 - 4.05 Work done on the...

Homework Statement The system is released from rest with no slack in the cable and with the spring stretched 225 mm. Determine the distance s traveled by the 3.2-kg cart before it comes to rest (a) if m approaches zero and (b) if m = 2.5 kg. Assume no mechanical interference and no friction...

Homework Statement Once under way at a steady speed, the 1100-kg elevator A rises at the rate of 1 story (2.74 m) per second. Determine the power input Pin into the motor unit M if the combined mechanical and electrical efficiency of the system is e = 0.76. Here is a link to the diagram for...

I guess it does. So does that mean there can be multiple annihilators and they'll all work? Or should you always pick the least common multiple?

Homework Statement Find an annihilator of x2+2x5. Homework Equations xnecx -----> [D-c]n+1 [Q1(D)Q2(D)] = b1(x) + b2(x) The Attempt at a Solution [/B] x2 -----> D3 2x5-----> D6 x2 + 2x5 ------> (D3)(D6) = D18 The answer should be D6.

Homework Statement What terms are generated by the configuration (e1g)2(e2u)2 in D6h symmetry? Homework Equations configuration (χd)2 gives terms 1(symmetric product) + 3(antisymmetric product) where χ=symmetry of an orbital and d = degenerate (e1g)x(e1g) = A1g + [A2g] + E2g (e2u)x(e2u) =...

Homework Statement I took 2 spectra (measuring intensity) of a blank cuvette with a spectrometer. The first time (a) I did not put a black cloth on top of cuvette/spectrometer. The second time (b) I did put a black cloth on the system. The baseline of (b) was notably higher than the baseline of...

I assumed there was because I need to calculate the linear reciprocal dispersion of a first and second order diffraction and the formula is Rd = [Df]-1 where f is focal length (in my notes). Is it possible to find a linear reciprocal dispersion for a diffraction grating at all?

Homework Statement What would the focal length be of a diffraction grating if the set up is a laser placed 1 m from the 0 order diffraction? Would it be the distance from the grating to the laser or the distance from the grating to the image? Homework Equations 1/f = 1/o + 1/i Rd = [Df]-1...

So I found this: Δφ/2π = Δt/vo And then t = c/λ and I find the new wavelength for each section of path B with c/nv and then add up the times?

Homework Statement The infrared spectrum of CO shows a vibrational absorption peak at 2170 cm-1 (a) What is the force constant of the CO bond? (b) At what wavenumber would the corresponding peak for 14CO occur? Homework Equations k=ω2μ = (2πcv)2μThe Attempt at a Solution So I solved part a...

Homework Statement Two waves travel next to each other for 100cm. Wave A passes through a glass container containing liquid. The thickness of the glass in total is 1cm and the width of the liquid is 10cm. The glass has n = 1.52 and the liquid has n=1.33. Wave B passes through a vacuum and...

Homework Statement The standard entropy of lead at 25C is S(298)=64.80 J/Kmol. The heat capacity of solid lead is Cp(s) = 22.13 + .01172T + 0.96x105T-2. The heat capacity of liquid lead is Cp(l) = 32.51 - 0.00301T Melting point is 327.4C Heat of fusion is 4770J/mol. Calculate the standard...