OldFinal - University of California at Berkeley Department...

• Notes
• 11

This preview shows pages 1–3. Sign up to view the full content.

University of California at Berkeley Department of Physics Physics 8A, Spring 2006 Final Exam May 16, 2006 5:00 PM You will be given 170 minutes to work this exam. No books, but you may use a handwritten note sheet no larger than an 8 1/2 by 11 sheet of paper. No electronics of any kind (calculator, cell phone, iPod, etc) Your description of the physics involved in a problem is worth significantly more than any numerical answer. Show all work, and take particular care to explain what you are doing. Write your answers directly on the exam, and if you have to use the back of a sheet make sure to put a note on the front. Do not use a blue book or scratch paper. Each part is worth the number of points indicated. These should sum to 200 points. Setup and explanation are worth almost all of the points. Clearly state what you are doing and why. In particular, make sure that you explain what principles and conservation rules you are applying, and how they relate. There are two pages of info at the back. You can tear them off and keep them separate if you’d like. NAME: SID NUMBER: DISCUSSION SECTION NUMBER: DISCUSSION SECTION DATE/TIME: ________________ Read the problems carefully. Try to do all the problems. If you get stuck, go on to the next problem. Don't give up! Try to remain relaxed and work steadily. 1 2 3 4 5 6 7 8 Total

This preview has intentionally blurred sections. Sign up to view the full version.

r v = d r x / dt r a = d r v / dt x ( t ) = x 0 + v 0 t + 1 2 a 0 t 2 v ( t ) = v 0 + a 0 t v 2 ( x ) = v 0 2 + 2 ax r F = m r a F = mv 2 R F = mg r P = m i r v i g = 10 m/s 2 x cm = m 1 x 1 + m 2 x 2 m 1 + m 2 = m i x i m i v cm = m 1 v 1 + m 2 v 2 m 1 + m 2 = m i v i m i F = μ k N F μ s N W = r F r x r P = m r v D = 1 2 C ρ Av 2 b = l cos θ a 2 + b 2 = c 2 sin 45° = cos 45° = 0.707; cos 60° = sin 30° = 0.500; sin 60° = cos 30° = 0.866 W = Fx P = dW/dt K = 1 2 mv 2 U = mgh U = 1 2 kx 2 D = 1 2 C ρ Av 2 Δ K = K f -K i Δ U = U f -U i W= Δ U+ Δ K+ Δ E th + Δ E int v 1 f = m 1 m 2 m 1 + m 2 v 1 i + 2 m 2 m 1 + m 2 v 2 i v 2 f = 2 m 2 m 1 + m 2 v 1 i + m 2 m 1 m 1 + m 2 v 2 i r τ = I r α r τ = r r × r F τ = rF sin θ I = I + mr 2 L = rp sin θ L = I ω L = mr 2 ω E = 1 2 I ω 2 E = L 2 2 I
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern