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Final__Exam_F04_Solutions

Final__Exam_F04_Solutions - Physics 112 Final Exam...

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N F s left F s middle (grav. or weight due to Earth) w or mg or F grav (normal contact due to surface) (contact or tension due to left spring) (contact or compression due to middle spring) p o p 1 Δ p 1 Physics 112 — Final Exam Solutions Fall 2004 1. E (1 point for D) 2. A 3. C and F (3 points each, - 2 for each additional incorrect answer, minimum = 0) 4. (a) E (b) B (c) False (d) False (e) True (f) False 5. (a) E and F (b) (3 points each, - 2 for each additional (or the equivalent incorrect answer, subtraction: minimum = 0) Δ p 1 = p 1 - p o ) 6. G (2 points for D; 1 point for B, C, E, F, or K) 7. (a) C (5 points, - 2 for each additional incorrect answer, minimum = 0) (b) Cons. of Angular Momentum: (I disk + mR 2 ) ω o = mvr - I disk ω o 1 2 MR 2 + mR 2 ω o = mvR cos θ - 1 2 MR 2 ω o v = (M + m)R ω o m cos θ 8. (a) (b) N and w (or mg or F grav ) (c) Newton's 2nd Law & a y = 0 ( Σ F y = ma y = 0) (d) (k 1 + 2k 2 )D (e) Σ F x = ma x - (k 1 + 2k 2 ) x(t) = m d 2 x(t) dt 2 d 2 x(t) dt 2 = - k 1 + 2k 2 m x(t) (f) ω 2 = k 1 + 2k 2 m f = ω 2 π = 1 2 π k 1 + 2k 2 m OR Block oscillates on left spring (k 1 ) and one-half of middle spring (2k 2 ). effective k = k 1 + 2k 2 ω 2 = k 1 + 2k 2 m as before
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9. Forces acting on monkey + bananas + ladder
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