AustenWilliams

** visited the page, and didn't find an update ! ** **Week 3**

1) a) Write givens b)Knowing the kinematic equation KE=.5mv^2. Potential energy is PE = .5kx^2. c)Since energy is conserved, the 2 equations are equal to each other. Now, plug in known values and solve for v but convert cm to m. This is simple algebra.

2) a)Write givens (convert all units so all are alike!) b)Once again, KE=PE. c)Plug in knowns again but solve for m like in problem #1. d) T=2(pi)*sqrt(m/k). Plug in and solve! e) F=ma=-kx. PLUG IN AND SOLVE AGAIN!

3) a)Write givens b)KE=PE c)solve for v to get maximum velocity d)repeat again for new position e)F=ma=-kx. solve for a.

Week 4

1)

i) 1. Knowing through algebra and substitution that one full cycle is equal 2piPhase 2. (x2-x1)/(pi/3)=lambda/(2pi) 3. Solve for lambda or wavelength

ii) 1.Find period 2. (difference in phases)/.005s=(2pi)/period (T) 3. solve for difference in phases 4. must be in pi radians so divide by pi

2) 1. Since the velocity is the derivative of the position. 2. integrate curve from 0 to 1. 3. in terms of x and t, find x1 4. Substitute back in to solve.

Week 5 1) 1. Draw a free body diagram. 2.T=mg/2sin(theta) 3.Use trigonometry to solve for angle, theta. 4. Use v=sqrt(T/u). Solve for m using known angle and givens and simple algebraic substitution. 2) 1.T=2pi*sqrt(L/g) 2. Solve for L 3.u=m/L 4.If static, F=ma. 5. v=sqrt(F/u). *note u = mu. -- WEEK 7 1) a) v=f*lambda. b) knowing lambda and speed of sound, solve for velocity. c) then, fO=fACTUAL[speed of light/(speed of light+the new velocity)] 2) *using a little skill learned from acoustics (like it !!)  dBNEW = 10log(number of men)+initial dB (or 20).  This is the easiest way to do dB addition.

Professor's Note : Good job !! ---  Week 8 *If you actually read the chapter posted, the equation is listed for this problem. I=Io*cos^2(Theta) a). Start with I=Io*cos^2(50)  b) This is now the new Io for the next equation. So, I=Io*cos^2(50)*cos^2(50)  c)This is repeated once again for third time, but plugging the new equation back in.   d)Now, take this final number, or (cos^2(50))^3 and multiply it by 100 for the percentage asked for. e)Remember to read the assigned material or problems like this are extremely hard :) --  Week 9 1) Both steps a and b can be solved using this same method  a)knowing m=h'/h so m is equal to 2 or .5   b) use distance between image and object and make an equation i +p= d   c)solve for one variable and plug back into m=-i/p. d)solve for that variable.  e)now solve for either i or p   f) plug into 1/f=1/p+1/i and solve for f.    2)   a)knowing n1=1 for air and the angle is 90 degrees with the perpendicular.   b)solve for theta of refracted angle using tan^-1(D/L)   c) take sin(theta) and solve for n2    -   Week 10   1) a) us mL=dsin(T) b) sin(T) = y/l c) d(y/l)=mL d)solve for y  2) a)After knowing givens, solve to change equation to look like y=(Lt(n-1))/d b)plug in givens and solve for y  **note this problem uses a lot of substitution of other known equations to solve for y.  -- Week 11  1) a. take square root of area. b. use length and thermal expansion formula to find how much length increases. c. square that answer and take the difference from the given area. that is the change in area. 2) a) i.) convert temp to kelvins ii)use pV=nRT and solve for n. b) i)plug n in with new givens ii)solve