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# practice+midterm+2a - Physics 140 Fall 2010 Second Midterm...

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Physics 140, Fall 2010 Second Midterm Exam Physics Department, University of Michigan November 4, 2010 FORM 1 Please print your name: ____________________________________________ Your INSTRUCTOR:_________________________ INSTRUCTIONS AND INFORMATION 1. Fill in YOUR NAME, INSTRUCTOR and the EXAM FORM NUMBER on the scantron. 2. RECORD YOUR ANSWERS ON THE SCANTRON USING A #2 PENCIL. 3. Turn in this exam copy with your scantron answer sheet. 4. This is a 90-minute, closed book exam. You may use two 3” x 5” card on which you have your favorite equations. You also may use a calculator but please do not share calculators. 5. All cell phones and other communication devices must be shut off and out of sight. 6. There are altogether 20 multiple choice questions. All questions are of equal value. Equations/values that you may find useful: s f = s i + v 0 t + ½ a t 2 θ f = θ in + ω t + ½ α t 2 Rod, axis through one end I =1/3ML 2 v f = v 0 + at ω f = ω 0 + α t Rod, axis through center: I = 1/12ML 2 a rad = v 2 /r v t = r ω , a t = r α Solid sphere: I = 2/5 MR 2 F = m a τ = r × F = d L /dt=I α Hollow sphere: I = 2/3 MR 2 W = F . s L = r × p = I ω Solid cylinder: I = ½ MR 2 F k = μ k N W = τ ( θ 2 θ 1 ) K Hollow cylinder I = ½M(R 1 2 +R 2 2 ) g = 9.8 m/s 2 U spring = ½ kx 2 Hoop: I = MR 2 F = −∇ U Impulse J = F .dt = Δ p I p = I cm + MR 2 W = Δ K P = Δ W/ Δ t = F.v K rot = ½ I ω 2 Δ K + Δ U = W n.c. in , 2 2 1 2 in , 1 2 1 2 1 f , 1 v m m m 2 v m m m m v + + + = in . 2 2 1 1 2 in , 1 2 1 1 f , 2 v m m m m v m m m 2 v + + + =

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Physics 140, Fall 2010, Midterm 2 Problem 1: A variable force (a force in the y-direction whose magnitude depends on the position) is acting on an object that is moving along the following path: (1) it starts at the origin and moves along the x-axis to a point x = 2m, y = 0; (2) it moves parallel to the y- axis to a point x = 2m, y = 3m; (3) it moves parallel to the x-axis to a point x = 0, y = 3m; (4) it moves parallel to the y-axis back to the origin. What is the total work done for the complete round trip? A. -12J B. 0 C. 12J D. 18J E. 27J
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