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# PrelimIAnswer - Solutions Prelim I Spring 2007 1 speeding...

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Solutions Prelim I Spring 2007 1. speeding up, slowing down, slowing down, speeding up 2. (A) 3. (B) 4. (B) 5. (C) 6. (E) 7. (C) 8. (A) 9.(a) down, up, zero 9.(b) down, up, up 1. (a) v A = v A ˆ i = v 0 x ˆ i is also the initial velocity of the bale. The time T that it takes to fall to the ground is given by H = 1 2 gT 2 . T = 2 H g . While the bale falls, it travels the distance D = v 0 x T to the right. v A = v 0 x = D T = D g 2 H (b) v fx = v 0 x = v A = D g 2 H v fy = - gT = - 2 gH 2. (a) Springs in parallel: same extension x , add the forces F A and F B for each x . Because they must have the same extension, neither spring stretches, i.e. x = 0 until F > 4 N. F (0 . 5cm) = 6 N+2 N = 8 N. F (1 . 0cm) = 8 N+4 N = 12 N. F (2 . 0cm) = 12 N+8 N = 20 N. (b) Springs in series: same force F , add extensions x A and x B . For F = 0 , x A + x B = 0. Spring A does not stretch until F > 4 N. F = 2 N , x A + x B = 0 + 0 . 5 cm = 0 . 5 cm F = 4 N , x A + x B = 0 + 1 . 0 cm = 1 . 0 cm F = 6 N , x A + x B = 0 . 5 cm + 1 . 5 cm = 2 . 0 cm Series x(cm) F(N) 0 8 14 16 20 18 12 10 6 4 2 0 2.0 1.5 1.0 0.5 Parallel

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3. (a) Air speed v PA refers to motion of the plane relative to air, v PA . Wind speed v W refers
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PrelimIAnswer - Solutions Prelim I Spring 2007 1 speeding...

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