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A midterm examination for the university of california at berkeley physics 7a course taught by professor lin in spring 2006. The exam covers various topics in physics, including the motion of spheres, circular orbits, impulses, and collisions. Students are allowed to bring one page of handwritten notes and a calculator, but no wireless calculators are permitted. The exam consists of five problems, each worth a varying number of points, totaling 120 points.
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University of California at Berkeley
Physics 7A Lecture 1 Professor Lin Spring 2006
Second Midterm Examination April 3, 2006, 6:00 PM – 8:00 PM
Print Name _____________________________ Discussion Section # ___________
Signature _______________________________ Discussion Section TA _________
Student ID# _____________________________
This exam is closed book, but you are allowed one 8.5" x 11" (double-sided) page of handwritten notes. You may use a calculator, however NO wireless calculators are allowed. Anyone using a wireless calculator will forfeit their exam and automatically receive the score of zero. You may use g = 10 m/s 2.
a) Write your name, Discussion Section #, GSI name and SID# on the top of all materials you intend to hand in and want to be graded. b) Remember to circle all of your final answers. c) Express all numerical results to 3 significant figures. Cross out any work you decide is incorrect, with an explanation in the margin.
Read through the entire exam to start. Work to maximize your credit — try to obtain at least partial credit on every part of every problem. Do your work clearly so we can easily follow. Show all work, using the front and back sides of this exam paper. If you do not show relevant work for any part of a problem, you will not be awarded any credit, even if the answer is correct. If you recognize that an answer does not make physical sense and you do not have time to find your error, write that you know that the answer cannot be correct and explain how you know this to be true. (We will award some credit for recognizing there is an error.) Do not get bogged down in algebra — if you have enough equations to solve for your unknowns, box the equations, state how you would finish, and move on (you can go back and complete the algebra later if you have time). And if you have questions about the interpretation of a problem, please ask!
Problem 1 2 3 4 5 6 TOTAL Total of 120 points (points for each part indicated in problem).
translational and rotational motion of both balls as a function of time after the collision. (Hint: Consider when each ball stops accelerating.) d) 5 points. Is total mechanical energy conserved? Explain your reasoning and provide quantitative proof.