OldFinal - University of California at Berkeley Department...

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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
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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
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