Practice Final

Practice Final - Physics 231 General University Physics...

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Physics 231: General University Physics Final Exam (Practice) Name (print): Signature: Your Seat Number (on back of chair): 1. Immediately enter the requested information on this cover page. Do not turn this cover page over until you are told to do so. 2. This is a closed book exam. Formula sheets are provided. You may use a calculator if you wish. Do not use any scratch paper. Use the blank backs of pages if you wish. Do not consult with your classmates nor look at their papers. 3. This exam consists of 13 true/false questions, 6 multiple-choice questions, and 3 longer problems. For the multiple-choice questions you are encouraged to, and for the longer problems you must , show all of your work (including diagrams and equations). For the longer problems, place a box around each ±nal answer. Problems will be graded for orderliness and coherence as well as for correctness. Justify the use of any formulas you use. Partial credit will be awarded. A correct numerical ±nal answer with no intermediate steps shown will not be given full credit.
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PHY 231 Final Exam (Practice) i Formula Sheet (1) The following are some (possibly useful) equations, including many from the textbook’s “Summary” pages at the end of the relevant chapters. It is your responsibility to understand under what conditions these equations are valid. I do not promise that you will not need other equations to solve the problems on this exam, but often these secondary equations can be determined from the basic ones presented on these pages. Kinematical Quantities Δ x x f - x i v x Δ x Δ t v x dx dt lim Δ t -→ 0 Δ x Δ t a x Δ v x Δ t = v xf - v xi t f - t i a x dv x dt lim Δ t -→ 0 Δ v x Δ t Displacement as Area under Curve x f - x i = Z t f t i v x ( t ) dt Constant Acceleration v xf = v xi + a x t x f = x i + 1 2 ( v xi + v xf ) t x f = x i + v xi t + 1 2 a x t 2 v 2 xf = v 2 xi + 2 a x ( x f - x i ) Trigonometric DeFnitions “SOHCAHTOA” Polar Cartesian Components A x = | ~ A | cos θ A y = | ~ A | sin θ | ~ A | 2 = A 2 x + A 2 y tan θ = A y A x ~ A = A x ˆ i + A y ˆ j Kinematic Vectors ~v d~ r dt ~a d~v dt Constant Acceleration ~v f = ~v i + ~at ~ r f = ~ r i + ~ v i t + 1 2 ~at 2 Projectile Motion ~a = ~g = - g ˆ j v xf = v xi v yf = v yi - gt x f = x i + v xi t y f = y i + v yi t - 1 2 gt 2 Relative Motion ~v AB = ~v AC + ~v CB Period T = 2 πr v Centripetal Acceleration a c = v 2 r Tangential and Radial Acceleration ~a = d | ~v | dt ˆ θ - v 2 r ˆ r
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PHY 231 Final Exam (Practice) ii Formula Sheet (2) Density ρ m/V Newton’s II Law Σ ~ F = m~a Σ F x = ma x Σ F y = ma y Newton’s III Law ~ F AB = - ~ F BA Gravitational Force (Weight) ~ F g = m~g Static Friction 0 ≤ | ~ f s | ≤ μ s | ~n | Kinetic Friction | ~ f k | = μ k | ~n |
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PHY 231 Final Exam (Practice) iii Formula Sheet (3) Work W = Z f i ~ F · d~ r = Z f i F x dx + Z f i F y dx + Z f i F z dx with Constant Force W = ~ F · Δ
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Practice Final - Physics 231 General University Physics...

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