# final - Final Exam PHYSICS 112 Spring 2001 Name Signature...

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Final Exam PHYSICS 112 Spring 2001 Name : Signature : Section Instructor: Section no. This is a closed book exam. All students are expected to abide by the university’s code of academic integrity. Use these sheets in place of an answer book. Show your solutions to questions in the spaces provided. Use of calculators is permitted. If an answer is expressed in numbers, be sure to include units. Leave square roots in their unevaluated form. Provide a complete explanation of your solution in the spaces provided. This packet contains 16 pages, including 2 pages of formulas and two blank sheets to be used as scratch paper. The total number of points on the exam is 100. ————————————————————– Problem 1 /(14) Problem 2 /(14) Problem 3 /(14) Problem 4 /(14) Problem 5 /(16) Problem 6 /(14) Problem 7 /(14) 1

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USEFUL FORMULAS v = v 0 + at x = x 0 + v 0 t + 1 2 at 2 v 2 = v 2 0 + 2 a Δ x ~v AB = ~v AC + ~v CB a = v 2 r R = v 2 0 g sin 2 θ ~ F = m~a W = mg f s,max = μ s F N f k = μ k F N U = mgy U = 1 2 kx 2 E = U + K W non - conservative = Δ E P = Fv ~ R cm = 1 M X i m i ~ r i ~ p = m~v ~ F net = d~ p dt W = Z ~ F · d~ r = - U K = 1 2 mv 2 , ~ p = m~v ~ A · ~ B = AB cos φ, ~ A × ~ B = AB sin φ b n 2
ω = dt , α = dt v = rω, a = rα, a = v 2 r ω = ω 0 + αt θ = θ 0 + ω 0 t + 1 2 αt 2 ω 2 = ω 2 0 + 2 α ( θ - θ 0 ) τ = Iα, ~ τ = ~ r × ~ F I = X i m i r 2 i I = I cm + MR 2 I cylinder = 1 2 MR 2 , I sphere = 2 5 MR 2 K = 1 2 2 L = Iω, ~ L = ~ r × ~ p ~ τ = d ~ L dt F = G m 1 m 2 r

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final - Final Exam PHYSICS 112 Spring 2001 Name Signature...

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