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Unformatted text preview: MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Department Physics 8.01 Fall Term 2007 Solutions to Exam 2 Concept Questions: Question 1 (4 points) (c). Eliminate (e0, (f), (g) and (h) by dimensional analysis; (a) and (b) do not involve I cm ; (d) gives a = ∞ when pulley has no mass or m 1 = m 2 . Question 2 (4 points) (e). Solve- B sin ωt = 0 for t > 0. Gives ωt = π, 2 π, 3 π, ··· Question 3 (4 points) (e). As T ⊥ displacement tension does no work. Question 4 (4 points) (f). Cart A hits B at t = 1 . 00 s and cart B hits A at t = 1 . 50 s; thus cart B hits the spring between 1.00 s and 1.50 s. Question 5 (4 points) (c). Equal force and displacement so W A = W B and KE A = KE B . Analytic Questions: Problem 1: Separate the problem into two parts: (i) during the collision, (ii) after the collision. i) (10 points) No friction with track, so momentum of the system consisting of both carts is constant....
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